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

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.5s (44.9%)

Memory

65.0MiB live, 1 042.3MiB allocated; 474ms collecting garbage

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 531.0ms

ival-mult: 418.0ms (78.7% of total)

ival-add: 96.0ms (18.1% of total)

exact: 10.0ms (1.9% of total)

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

adjust: 3.0ms (0.6% of total)

Bogosity

explain207.0ms (6.4%)

Memory

-1.0MiB live, 188.6MiB allocated; 26ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
16	-	-	`(.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**	16	0

Confusion

	Predicted +	Predicted -
+	16	0
-	0	240

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	16	0	0
-	0	0	240

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	240
1	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

121.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 11.0ms (67% of total)

ival-add: 4.0ms (24.4% of total)

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

exact: 1.0ms (6.1% of total)

adjust: 0.0ms (0% of total)

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

preprocess433.0ms (13.3%)

Memory

19.7MiB live, 256.2MiB allocated; 40ms 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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune26.0ms (0.8%)

Memory

-55.8MiB live, 1.1MiB allocated; 23ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series79.0ms (2.4%)

Memory

14.6MiB live, 60.3MiB allocated; 8ms 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
72.0ms	x	@	0	((* x (+ 1 (* y y))) x (+ 1 (* y y)) 1 (* y y) y)
2.0ms	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	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)

rewrite139.0ms (4.3%)

Memory

-3.9MiB live, 86.6MiB allocated; 28ms 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 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 (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 x x (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (.f64 (.f64 (neg.f64 x) y) y)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (*.f64 y y) 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 (.f64 y y) x) (-.f64 (.f64 (.f64 y y) x) x) (*.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 (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 (.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 (.f64 (.f64 y y) x) (-.f64 (.f64 (.f64 y y) x) x) (*.f64 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 (.f64 (.f64 y y) x) (-.f64 (.f64 (.f64 y y) x) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) x) (-.f64 (.f64 (.f64 y y) x) x) (.f64 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 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) y) y)
(.f64 (neg.f64 y) (.f64 (neg.f64 y) (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) (.f64 y y))
(.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 y (.f64 y (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) (.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal -6 binary64)) #s(literal 1 binary64)) (.f64 y y)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 y y) (+.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))) (pow.f64 y #s(literal -2 binary64))))
(/.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 (.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 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))))
(-.f64 (.f64 y y) (.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -2 binary64))))
(-.f64 (.f64 y y) (.f64 (neg.f64 (pow.f64 y #s(literal -2 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) (-.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))
#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)))

eval22.0ms (0.7%)

Memory: 27.5MiB live, 27.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 518 to 377 computations (75.2% saved)

prune8.0ms (0.3%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	4	127

Accuracy

100.0%

Counts

127 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(fma.f64 (*.f64 y y) x x)
▶	99.9%	(fma.f64 (*.f64 x y) y x)
▶	47.3%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
▶	49.8%	#s(approx (* x (+ 1 (* y y))) x)

Compiler

Compiled 32 to 23 computations (28.1% saved)

series84.0ms (2.6%)

Memory

-26.0MiB live, 22.4MiB allocated; 30ms collecting garbage

Counts

9 → 25

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
71.0ms	x	@	-inf	((* x (+ 1 (* y y))) x (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) y (+ (* (* x y) y) x) (* x y) (+ (* (* y y) x) x))
3.0ms	x	@	inf	((* x (+ 1 (* y y))) x (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) y (+ (* (* x y) y) x) (* x y) (+ (* (* y y) x) x))
3.0ms	y	@	inf	((* x (+ 1 (* y y))) x (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) y (+ (* (* x y) y) x) (* x y) (+ (* (* y y) x) x))
2.0ms	y	@	-inf	((* x (+ 1 (* y y))) x (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) y (+ (* (* x y) y) x) (* x y) (+ (* (* y y) x) x))
2.0ms	x	@	0	((* x (+ 1 (* y y))) x (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) y (+ (* (* x y) y) x) (* x y) (+ (* (* y y) x) x))

rewrite151.0ms (4.6%)

Memory

-8.5MiB live, 80.7MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	352
0	63	330
1	218	330
0	1359	320

Stop Event

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

Counts

34 → 135

Calls

Call 1

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

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

eval23.0ms (0.7%)

Memory: 36.0MiB live, 36.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 724 to 308 computations (82.1% saved)

prune18.0ms (0.6%)

Memory

-28.1MiB live, 17.9MiB allocated; 12ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	140	5	145

Accuracy

100.0%

Counts

145 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.1%	(fma.f64 (*.f64 y y) x x)
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	47.3%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
▶	53.1%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))
✓	49.8%	#s(approx (* x (+ 1 (* y y))) x)

Compiler

Compiled 45 to 32 computations (28.9% saved)

series9.0ms (0.3%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

5 → 9

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite92.0ms (2.8%)

Memory

5.6MiB live, 58.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	118
0	33	118
1	110	118
0	742	110

Stop Event

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

Counts

14 → 22

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 313 to 60 computations (80.8% saved)

prune7.0ms (0.2%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	22	5	27

Accuracy

100.0%

Counts

27 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.1%	(fma.f64 (*.f64 y y) x x)
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	47.3%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
✓	53.1%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))
✓	49.8%	#s(approx (* x (+ 1 (* y y))) x)

Compiler

Compiled 97 to 51 computations (47.4% saved)

regimes30.0ms (0.9%)

Memory

-20.2MiB live, 25.5MiB allocated; 16ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

16.0ms	x
3.0ms	y
3.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
3.0ms	(*.f64 y y)
3.0ms	(+.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)

regimes12.0ms (0.4%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
97.7%	2	`(*.f64 y y)`
97.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
82.5%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
66.0%	6	`x`
97.7%	2	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes15.0ms (0.5%)

Memory

-31.3MiB live, 15.0MiB allocated; 10ms 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:

8.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
2.0ms	x
2.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
49.8%	1	`x`
49.8%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
49.8%	1	`(*.f64 y y)`
49.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
49.8%	1	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch17.0ms (0.5%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.05343521573610764	54.57127280001619

Samples

8.0ms

128×

valid

Compiler

Compiled 186 to 155 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (77.8% of total)

ival-add: 1.0ms (25.9% 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)

simplify322.0ms (9.9%)

Memory

17.3MiB live, 107.6MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	30	41
2	79	41
3	224	41
4	911	41
5	6379	41

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

derivations46.0ms (1.4%)

Memory

-22.3MiB live, 21.2MiB allocated; 25ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 41 to 15 computations (63.4% saved)

preprocess53.0ms (1.6%)

Memory

9.7MiB live, 53.6MiB allocated; 18ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 134 to 68 computations (49.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.5s (44.9%)

explain207.0ms (6.4%)

preprocess433.0ms (13.3%)

eval0.0ms (0%)

prune26.0ms (0.8%)

series79.0ms (2.4%)

rewrite139.0ms (4.3%)

eval22.0ms (0.7%)

prune8.0ms (0.3%)

series84.0ms (2.6%)

rewrite151.0ms (4.6%)

eval23.0ms (0.7%)

prune18.0ms (0.6%)

series9.0ms (0.3%)

rewrite92.0ms (2.8%)

eval3.0ms (0.1%)

prune7.0ms (0.2%)

regimes30.0ms (0.9%)

regimes12.0ms (0.4%)

regimes15.0ms (0.5%)

bsearch17.0ms (0.5%)

simplify322.0ms (9.9%)

derivations46.0ms (1.4%)

preprocess53.0ms (1.6%)

end0.0ms (0%)

Profiling