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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample523.0ms (54.7%)

Memory

18.9MiB live, 1 027.0MiB allocated; 125ms collecting garbage

Samples

301.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult!: 116.0ms (83.2% of total)

ival-add!: 22.0ms (15.8% of total)

adjust: 2.0ms (1.4% of total)

Bogosity

explain59.0ms (6.2%)

Memory

-13.2MiB live, 132.7MiB allocated; 5ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
17	-	-	`(.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**	17	0

Confusion

	Predicted +	Predicted -
+	17	0
-	0	239

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	17	0	0
-	0	0	239

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	239
1	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

20.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult!: 6.0ms (80.8% of total)

ival-add!: 1.0ms (13.5% of total)

adjust: 0.0ms (0% of total)

preprocess52.0ms (5.5%)

Memory

-21.6MiB live, 25.7MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	71	44
2	238	42
3	508	42
4	1569	42
5	5660	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series5.0ms (0.5%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

6 → 12

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

Calls

6 calls:

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

rewrite73.0ms (7.7%)

Memory

-12.0MiB live, 88.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	146
0	37	140
1	138	140
0	1034	125

Stop Event

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

Counts

18 → 126

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

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

eval13.0ms (1.3%)

Memory: 31.8MiB live, 31.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 642 to 375 computations (77.2% saved)

prune77.0ms (8.1%)

Memory

-34.9MiB live, 156.6MiB allocated; 7ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	2	127

Accuracy

100.0%

Counts

127 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x (neg.f64 y)) (neg.f64 y) x)
✓	93.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

series6.0ms (0.7%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Counts

5 → 10

Calls

Call 1

Inputs
(fma.f64 (*.f64 x (neg.f64 y)) (neg.f64 y) x)
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y

Outputs
#s(approx (+ (* (* x (neg y)) (neg y)) x) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx (* x (neg y)) #s(hole binary64 (* -1 (* x y))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x (neg y)) (neg y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (pow y 2)) 1)))))
#s(approx (+ (* (* x (neg y)) (neg y)) x) #s(hole binary64 x))
#s(approx (+ (* (* x (neg y)) (neg y)) x) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* x (neg y)) (neg y)) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (+ (* (* x (neg y)) (neg 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 (neg y)) (neg y)) x) (* x (neg y)) x (neg y) y)
1.0ms	x	@	0	((+ (* (* x (neg y)) (neg y)) x) (* x (neg y)) x (neg y) y)
1.0ms	x	@	-inf	((+ (* (* x (neg y)) (neg y)) x) (* x (neg y)) x (neg y) y)
1.0ms	y	@	inf	((+ (* (* x (neg y)) (neg y)) x) (* x (neg y)) x (neg y) y)
1.0ms	y	@	-inf	((+ (* (* x (neg y)) (neg y)) x) (* x (neg y)) x (neg y) y)

rewrite46.0ms (4.8%)

Memory

25.4MiB live, 72.9MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	134
0	42	130
1	150	123
0	1030	113

Stop Event

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

Counts

15 → 63

Calls

Call 1

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

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

eval9.0ms (0.9%)

Memory: -25.0MiB live, 22.5MiB allocated; 1ms collecting garbage
Compiler: Compiled 1 063 to 166 computations (84.4% saved)

prune40.0ms (4.2%)

Memory

-14.2MiB live, 81.7MiB allocated; 3ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	70	2	72

Accuracy

100.0%

Counts

72 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x (neg.f64 y)) (neg.f64 y) x)
✓	93.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes7.0ms (0.8%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	y
2.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
1.0ms	x
1.0ms	(*.f64 y y)
1.0ms	(+.f64 #s(literal 1 binary64) (*.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)

regimes5.0ms (0.6%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

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)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
93.8%	1	`(*.f64 y y)`
93.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
93.8%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
93.8%	1	`x`
93.8%	1	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

derivations5.0ms (0.5%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 15 to 9 computations (40% saved)

preprocess35.0ms (3.6%)

Memory

-33.6MiB live, 61.1MiB allocated; 3ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 104 to 74 computations (28.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample523.0ms (54.7%)

explain59.0ms (6.2%)

preprocess52.0ms (5.5%)

series5.0ms (0.5%)

rewrite73.0ms (7.7%)

eval13.0ms (1.3%)

prune77.0ms (8.1%)

series6.0ms (0.7%)

rewrite46.0ms (4.8%)

eval9.0ms (0.9%)

prune40.0ms (4.2%)

regimes7.0ms (0.8%)

regimes5.0ms (0.6%)

derivations5.0ms (0.5%)

preprocess35.0ms (3.6%)

end0.0ms (0%)

Profiling