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

0.6MiB live, 0.6MiB 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)

sample583.0ms (55.8%)

Memory

4.4MiB live, 1 068.7MiB allocated; 215ms collecting garbage

Samples

398.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult!: 81.0ms (80.4% of total)

ival-add!: 18.0ms (17.9% of total)

adjust: 1.0ms (1% of total)

Bogosity

preprocess57.0ms (5.4%)

Memory

-37.4MiB live, 56.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	76	44
2	253	42
3	595	42
4	2753	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.3%	(.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 (0.4%)

Memory

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

Counts

6 → 10

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 (* 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) (+ 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)

rewrite56.0ms (5.4%)

Memory

30.7MiB live, 77.1MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	128
0	34	122
1	135	122
0	1023	109

Stop Event

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

Counts

16 → 124

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

eval20.0ms (1.9%)

Memory: -8.8MiB live, 43.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 626 to 366 computations (77.5% saved)

prune5.0ms (0.4%)

Memory

-36.3MiB live, 11.0MiB allocated; 2ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	113	4	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	4	118

Accuracy

100.0%

Counts

118 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x y) y x)
▶	93.4%	(+.f64 (.f64 (.f64 y y) x) x)
▶	56.6%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
▶	40.3%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))

Compiler

Compiled 35 to 26 computations (25.7% saved)

series8.0ms (0.7%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

11 → 12

Calls

Call 1

Inputs
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (.f64 (.f64 y y) x) x)
(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 (* (* y y) x) #s(hole binary64 (* x (pow y 2))))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#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 (* x (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#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 (* (pow y 2) (+ x (/ x (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
2.0ms	x	@	inf	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) y x (* x (+ 1 (* y y))) (+ 1 (* y y)) 1 (+ (* (* y y) x) x) (+ (* (* x y) y) x) (* x y))
1.0ms	x	@	-inf	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) y x (* x (+ 1 (* y y))) (+ 1 (* y y)) 1 (+ (* (* y y) x) x) (+ (* (* x y) y) x) (* x y))
1.0ms	y	@	-inf	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) y x (* x (+ 1 (* y y))) (+ 1 (* y y)) 1 (+ (* (* y y) x) x) (+ (* (* x y) y) x) (* x y))
1.0ms	y	@	inf	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) y x (* x (+ 1 (* y y))) (+ 1 (* y y)) 1 (+ (* (* y y) x) x) (+ (* (* x y) y) x) (* x y))
1.0ms	x	@	0	((* x (+ 1 (* y y))) (* (* y y) x) (* y y) y x (* x (+ 1 (* y y))) (+ 1 (* y y)) 1 (+ (* (* y y) x) x) (+ (* (* x y) y) x) (* x y))

rewrite64.0ms (6.2%)

Memory

-10.6MiB live, 82.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	190
0	52	174
1	210	174
0	1344	166

Stop Event

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

Counts

23 → 131

Calls

Call 1

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

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

eval10.0ms (1%)

Memory: 32.9MiB live, 32.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 901 to 319 computations (83.2% saved)

prune9.0ms (0.9%)

Memory

-21.8MiB live, 25.9MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	131	5	136

Accuracy

100.0%

Counts

136 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	93.4%	(+.f64 (.f64 (.f64 y y) x) x)
✓	56.6%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	40.3%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
▶	46.9%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 48 to 35 computations (27.1% saved)

series5.0ms (0.5%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

5 → 7

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

Calls

6 calls:

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

rewrite57.0ms (5.5%)

Memory

19.2MiB live, 95.9MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	96
0	30	96
1	107	96
0	736	90

Stop Event

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

Counts

12 → 20

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 (* x (pow y 2)))))
#s(approx y #s(hole binary64 y))
#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 x) y))
(.f64 (.f64 x (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 x (neg.f64 y)) (neg.f64 y))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) x))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) x))
(.f64 (.f64 y x) y)
(.f64 (.f64 y y) x)
(.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 x) y))
#s(approx (* y x) (*.f64 y x))
#s(approx x 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 (+.f64 (/.f64 x (*.f64 y y)) x) y) y))

eval1.0ms (0.1%)

Memory: 3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 200 to 54 computations (73% saved)

prune2.0ms (0.2%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	13	5	18

Accuracy

100.0%

Counts

18 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	93.4%	(+.f64 (.f64 (.f64 y y) x) x)
✓	56.6%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	40.3%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	46.9%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 103 to 55 computations (46.6% saved)

regimes27.0ms (2.6%)

Memory

9.0MiB live, 45.0MiB allocated; 16ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

18.0ms	y
2.0ms	x
2.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
2.0ms	(*.f64 y y)
2.0ms	(+.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)

regimes43.0ms (4.1%)

Memory

-21.5MiB live, 41.4MiB allocated; 40ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

37.0ms	y
2.0ms	x
2.0ms	(.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
98.6%	2	`(*.f64 y y)`
98.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
88.3%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
56.6%	1	`x`
98.6%	2	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes17.0ms (1.6%)

Memory

-27.7MiB live, 16.8MiB allocated; 14ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))
1.0ms	y
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
56.6%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
56.6%	1	`(*.f64 y y)`
56.6%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
56.6%	1	`y`

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch8.0ms (0.8%)

Memory

25.4MiB live, 25.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.06080850191792139	6.9605105573005455

Samples

3.0ms

112×

valid

Compiler

Compiled 164 to 144 computations (12.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult!: 1.0ms (81.4% of total)

adjust: 0.0ms (0% of total)

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

derivations29.0ms (2.7%)

Memory

-5.9MiB live, 36.8MiB allocated; 12ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 41 to 16 computations (61% saved)

preprocess39.0ms (3.7%)

Memory

21.2MiB live, 66.6MiB allocated; 10ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 264 to 154 computations (41.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample583.0ms (55.8%)

preprocess57.0ms (5.4%)

series5.0ms (0.4%)

rewrite56.0ms (5.4%)

eval20.0ms (1.9%)

prune5.0ms (0.4%)

series8.0ms (0.7%)

rewrite64.0ms (6.2%)

eval10.0ms (1%)

prune9.0ms (0.9%)

series5.0ms (0.5%)

rewrite57.0ms (5.5%)

eval1.0ms (0.1%)

prune2.0ms (0.2%)

regimes27.0ms (2.6%)

regimes43.0ms (4.1%)

regimes17.0ms (1.6%)

bsearch8.0ms (0.8%)

derivations29.0ms (2.7%)

preprocess39.0ms (3.7%)

end0.0ms (0%)

Profiling