Metrics for Numeric.Integration.TanhSinh:everywhere from integration-0.2.1

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.2s (44.4%)

Memory

23.7MiB live, 1 258.6MiB allocated; 349ms collecting garbage

Samples

873.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 509.0ms

ival-mult: 436.0ms (85.7% of total)

ival-add: 56.0ms (11% of total)

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

exact: 6.0ms (1.2% of total)

ival-assert: 4.0ms (0.8% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain86.0ms (3.1%)

Memory

-9.6MiB live, 228.0MiB allocated; 19ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
12	-	-	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 y y)`
0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`	*no**	12	0

Confusion

	Predicted +	Predicted -
+	12	0
-	0	244

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	244
1	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 11.0ms (75.3% of total)

ival-add: 2.0ms (13.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess201.0ms (7.3%)

Memory

22.1MiB live, 254.9MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	71	44
2	238	42
3	508	42
4	1569	42
5	5660	42
0	6	7
0	9	7
1	25	7
2	74	7
3	215	7
4	809	7
5	3546	7
0	8077	6

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune4.0ms (0.2%)

Memory

-49.7MiB live, 1.2MiB allocated; 9ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify164.0ms (5.9%)

Memory

63.0MiB live, 190.5MiB allocated; 39ms collecting garbage

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	25	18
2	74	18
3	215	18
4	809	18
5	3546	18
0	8077	16

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
x
(+.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(fma.f64 y y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y y)
y

localize41.0ms (1.5%)

Memory

-27.5MiB live, 86.5MiB allocated; 23ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	0.0	(*.f64 y y)
accuracy	2.8217740438698184	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Samples

36.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 18.0ms (89.4% of total)

ival-add: 1.0ms (5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series27.0ms (1%)

Memory

-35.0MiB live, 11.9MiB allocated; 2ms collecting garbage

Counts

3 → 10

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 y y)

Outputs
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx (+ 1 (* y y)) #s(hole binary64 1))
#s(approx (+ 1 (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ 1 (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ 1 (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	y	@	-inf	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))
1.0ms	y	@	inf	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))
1.0ms	x	@	0	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))
1.0ms	x	@	inf	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))
1.0ms	x	@	-inf	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))

simplify210.0ms (7.6%)

Memory

20.2MiB live, 307.9MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	112
1	68	112
2	216	112
3	1939	112
0	8962	98

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

Inputs
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx (+ 1 (* y y)) #s(hole binary64 1))
#s(approx (+ 1 (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ 1 (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ 1 (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))

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

rewrite53.0ms (1.9%)

Memory

-12.4MiB live, 76.6MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	41	15
0	322	13

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 72

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 y y)

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

eval9.0ms (0.3%)

Memory: 19.1MiB live, 19.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 859 to 229 computations (73.3% saved)

prune3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	4	80

Accuracy

100.0%

Counts

80 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x y) y x)
▶	95.6%	(+.f64 (.f64 x (.f64 y y)) x)
▶	48.8%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
▶	50.3%	#s(approx (* x (+ 1 (* y y))) x)

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify109.0ms (3.9%)

Memory

-6.5MiB live, 90.7MiB allocated; 22ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 (*.f64 x y) y x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 x (.f64 y y))
cost-diff	1	(+.f64 (.f64 x (.f64 y y)) x)
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ 1 (* y y)) (*.f64 y y))
cost-diff	0	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
cost-diff	0	#s(approx (* x (+ 1 (* y y))) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	63
0	21	62
1	41	61
2	93	61
3	235	61
4	870	61
5	3878	61
0	8839	59

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* x (+ 1 (* y y))) x)
x
(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
x
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
y
(+.f64 (.f64 x (.f64 y y)) x)
(.f64 x (.f64 y y))
x
(*.f64 y y)
y
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
x
y

Outputs
#s(approx (* x (+ 1 (* y y))) x)
x
(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
(.f64 #s(approx (+ 1 ( y y)) (*.f64 y y)) x)
x
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
y
(+.f64 (.f64 x (.f64 y y)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(.f64 x (.f64 y y))
(.f64 (.f64 y y) x)
x
(*.f64 y y)
y
(fma.f64 (*.f64 x y) y x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x y)
(*.f64 y x)
x
y

localize81.0ms (2.9%)

Memory

-2.2MiB live, 40.8MiB allocated; 13ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.05859375	(fma.f64 (*.f64 x y) y x)
accuracy	0.0	(+.f64 (.f64 x (.f64 y y)) x)
accuracy	0.0	(*.f64 y y)
accuracy	6.26690522150259	(.f64 x (.f64 y y))
accuracy	0.0	(*.f64 y y)
accuracy	2.8217740438698184	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
accuracy	30.189770274594895	#s(approx (+ 1 (* y y)) (*.f64 y y))
accuracy	31.795610862848584	#s(approx (* x (+ 1 (* y y))) x)

Samples

73.0ms

256×

valid

Compiler

Compiled 56 to 13 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 60.0ms (94.3% of total)

ival-add: 3.0ms (4.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series8.0ms (0.3%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

8 → 24

Calls

Call 1

Inputs
#s(approx (* x (+ 1 (* y y))) x)
(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
(+.f64 (.f64 x (.f64 y y)) x)
(.f64 x (.f64 y y))
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)

Outputs
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx (+ (* x (* y y)) x) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx (* x (* y y)) #s(hole binary64 (* x (pow y 2))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (+ (* x (* y y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (pow y 2)) 1)))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (pow y 2)) 1)))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (+ 1 (* y y)) #s(hole binary64 1))
#s(approx (+ 1 (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x (* y y)) x) #s(hole binary64 x))
#s(approx (+ (* x (* y y)) x) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 x))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (+ 1 (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ 1 (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))))
#s(approx (+ (* x (* y y)) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (+ (* x (* y y)) x) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((* x (+ 1 (* y y))) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (+ (* x (* y y)) x) (* x (* y y)) (+ (* (* x y) y) x) (* x y))
1.0ms	x	@	inf	((* x (+ 1 (* y y))) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (+ (* x (* y y)) x) (* x (* y y)) (+ (* (* x y) y) x) (* x y))
1.0ms	y	@	-inf	((* x (+ 1 (* y y))) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (+ (* x (* y y)) x) (* x (* y y)) (+ (* (* x y) y) x) (* x y))
1.0ms	x	@	0	((* x (+ 1 (* y y))) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (+ (* x (* y y)) x) (* x (* y y)) (+ (* (* x y) y) x) (* x y))
1.0ms	y	@	inf	((* x (+ 1 (* y y))) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (+ (* x (* y y)) x) (* x (* y y)) (+ (* (* x y) y) x) (* x y))

simplify171.0ms (6.2%)

Memory

-6.1MiB live, 271.2MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	294
1	106	294
2	282	294
3	2102	294
0	8584	260

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx (+ (* x (* y y)) x) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx (* x (* y y)) #s(hole binary64 (* x (pow y 2))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (+ (* x (* y y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (pow y 2)) 1)))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (pow y 2)) 1)))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (+ 1 (* y y)) #s(hole binary64 1))
#s(approx (+ 1 (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x (* y y)) x) #s(hole binary64 x))
#s(approx (+ (* x (* y y)) x) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 x))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (+ 1 (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ 1 (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))))
#s(approx (+ (* x (* y y)) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (+ (* x (* y y)) x) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))

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

rewrite82.0ms (3%)

Memory

3.0MiB live, 109.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	53
0	21	52
1	82	51
0	488	49

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

8 → 91

Calls

Call 1

Inputs
#s(approx (* x (+ 1 (* y y))) x)
(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
(+.f64 (.f64 x (.f64 y y)) x)
(.f64 x (.f64 y y))
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)

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

eval11.0ms (0.4%)

Memory: -17.2MiB live, 28.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 097 to 236 computations (78.5% saved)

prune4.0ms (0.1%)

Memory

12.9MiB live, 13.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	92	4	96

Accuracy

100.0%

Counts

96 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	95.6%	(+.f64 (.f64 x (.f64 y y)) x)
✓	48.8%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
✓	50.3%	#s(approx (* x (+ 1 (* y y))) x)

Compiler

Compiled 73 to 41 computations (43.8% saved)

regimes12.0ms (0.5%)

Memory

-13.0MiB live, 33.0MiB allocated; 4ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (* x (+ 1 (* y y))) x)
(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
(fma.f64 (*.f64 x y) y x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(+.f64 (.f64 x (.f64 y y)) x)

Outputs
(fma.f64 (*.f64 x y) y x)

Calls

5 calls:

4.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))
2.0ms	x
2.0ms	y
2.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 y y)`
99.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
99.9%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes6.0ms (0.2%)

Memory

23.5MiB live, 23.5MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (* x (+ 1 (* y y))) x)
(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))

Outputs
#s(approx (* x (+ 1 (* y y))) x)
(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))

Calls

5 calls:

1.0ms	x
1.0ms	y
1.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
1.0ms	(*.f64 y y)
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
94.1%	2	`(*.f64 y y)`
94.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
77.0%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
62.4%	4	`x`
94.1%	2	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes5.0ms (0.2%)

Memory

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

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* x (+ 1 (* y y))) x)

Outputs
#s(approx (* x (+ 1 (* y y))) x)

Calls

5 calls:

1.0ms	x
1.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
1.0ms	y
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
50.3%	1	`x`
50.3%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
50.3%	1	`(*.f64 y y)`
50.3%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
50.3%	1	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch15.0ms (0.5%)

Memory

-34.0MiB live, 21.8MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.5535359380056909	2.926899608091187

Samples

8.0ms

96×

valid

Compiler

Compiled 130 to 113 computations (13.1% saved)

Precisions

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

ival-mult: 5.0ms (82.8% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify59.0ms (2.1%)

Memory

1.7MiB live, 47.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	30	39
2	79	39
3	224	39
4	911	39
5	6379	39

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (*.f64 x y) y x)
(if (<=.f64 y #s(literal 1 binary64)) #s(approx (* x (+ 1 (* y y))) x) (.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y))))
#s(approx (* x (+ 1 (* y y))) x)

Outputs
(fma.f64 (*.f64 x y) y x)
(if (<=.f64 y #s(literal 1 binary64)) #s(approx (* x (+ 1 (* y y))) x) (.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y))))
#s(approx (* x (+ 1 (* y y))) x)

derivations122.0ms (4.4%)

Memory

-15.0MiB live, 77.6MiB allocated; 16ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 39 to 15 computations (61.5% saved)

preprocess53.0ms (1.9%)

Memory

12.1MiB live, 65.2MiB allocated; 6ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 130 to 68 computations (47.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (44.4%)

explain86.0ms (3.1%)

preprocess201.0ms (7.3%)

eval0.0ms (0%)

prune4.0ms (0.2%)

simplify164.0ms (5.9%)

localize41.0ms (1.5%)

series27.0ms (1%)

simplify210.0ms (7.6%)

rewrite53.0ms (1.9%)

eval9.0ms (0.3%)

prune3.0ms (0.1%)

simplify109.0ms (3.9%)

localize81.0ms (2.9%)

series8.0ms (0.3%)

simplify171.0ms (6.2%)

rewrite82.0ms (3%)

eval11.0ms (0.4%)

prune4.0ms (0.1%)

regimes12.0ms (0.5%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch15.0ms (0.5%)

simplify59.0ms (2.1%)

derivations122.0ms (4.4%)

preprocess53.0ms (1.9%)

end0.0ms (0%)

Profiling