Metrics for Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample624.0ms (9.5%)

Memory

-9.9MiB live, 666.9MiB allocated; 278ms collecting garbage

Samples

425.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-mult!: 205.0ms (90.7% of total)

ival-sub!: 19.0ms (8.4% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess45.0ms (0.7%)

Memory

-7.5MiB live, 37.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	44
1	98	44

Stop Event

1×	iter-limit
1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series169.0ms (2.6%)

Memory

-8.8MiB live, 98.4MiB allocated; 104ms collecting garbage

Counts

6 → 16

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
2.0ms	x	-inf
2.0ms	y	inf
2.0ms	x	inf
1.0ms	y	-inf
1.0ms	x	0

rewrite272.0ms (4.2%)

Memory

18.8MiB live, 210.7MiB allocated; 37ms collecting garbage

Counts

6 → 30

Calls

Call 1

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

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

eval7.0ms (0.1%)

Memory: 11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 619 to 166 computations (73.2% saved)

prune8.0ms (0.1%)

Memory

-32.7MiB live, 13.8MiB allocated; 2ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	7	42

Accuracy

100.0%

Counts

42 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
	71.8%	(.f64 x (.f64 (fma.f64 (.f64 x y) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) (fma.f64 (*.f64 x y) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))))
▶	99.7%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) y))))
▶	87.7%	#s(approx (* x (- 1 (* x y))) (+.f64 x (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))
▶	43.9%	#s(approx (* x (- 1 (* x y))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))
▶	50.9%	#s(approx (* x (- 1 (* x y))) x)

Compiler

Compiled 205 to 132 computations (35.6% saved)

series210.0ms (3.2%)

Memory

16.3MiB live, 191.6MiB allocated; 51ms collecting garbage

Counts

24 → 54

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
5.0ms	y	-inf
5.0ms	x	-inf
4.0ms	x	inf
4.0ms	x	0
3.0ms	y	inf

rewrite3.8s (57.7%)

Memory

-262.1MiB live, 101.6MiB allocated; 4.5s collecting garbage

Counts

24 → 97

Calls

Call 1

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

Outputs
(.f64 x #s(approx ( x y) (-.f64 x y)))
x
(*.f64 x x)
(*.f64 x #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
#s(approx (* x y) (-.f64 x y))
(*.f64 x y)
(*.f64 y x)
(*.f64 (-.f64 x y) (-.f64 x y))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(*.f64 x (-.f64 x y))
(*.f64 x y)
(*.f64 y x)
(*.f64 (-.f64 x y) (-.f64 x y))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(*.f64 x (-.f64 x y))
x
(*.f64 x x)
(*.f64 x #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) #s(literal 1 binary64))
y
(*.f64 y y)
(*.f64 y #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) y)
#s(approx (* x y) x)
#s(approx (* x y) (-.f64 x y))
(*.f64 x y)
(*.f64 y x)
(*.f64 (-.f64 x y) (-.f64 x y))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(*.f64 x (-.f64 x y))
#s(literal -1 binary64)
(neg.f64 (neg.f64 #s(literal -1 binary64)))
(*.f64 x y)
(*.f64 y x)
(*.f64 (-.f64 x y) (-.f64 x y))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(*.f64 x (-.f64 x y))
x
(*.f64 x x)
(*.f64 x #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)
(*.f64 (-.f64 x y) (-.f64 x y))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(*.f64 x (-.f64 x y))
(*.f64 x y)
(*.f64 y x)
(*.f64 (-.f64 x y) (-.f64 x y))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(*.f64 x (-.f64 x y))
(*.f64 x y)
(*.f64 y x)
(*.f64 (-.f64 x y) (-.f64 x y))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(*.f64 x (-.f64 x y))
x
(*.f64 x x)
(*.f64 x #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
y
(*.f64 y y)
(*.f64 y #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 x y)
(*.f64 y x)
(*.f64 (-.f64 x y) (-.f64 x y))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(*.f64 x (-.f64 x y))
(*.f64 x y)
(*.f64 y x)
(*.f64 (-.f64 x y) (-.f64 x y))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(*.f64 x (-.f64 x y))
#s(approx (* x y) (-.f64 x y))
(*.f64 x y)
(*.f64 y x)
(*.f64 (-.f64 x y) (-.f64 x y))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(*.f64 x (-.f64 x y))

eval11.0ms (0.2%)

Memory: 28.9MiB live, 28.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 427 to 519 computations (78.6% saved)

prune37.0ms (0.6%)

Memory

-37.2MiB live, 10.1MiB allocated; 31ms collecting garbage

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	106	5	111
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	106	12	118

Accuracy

100.0%

Counts

118 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
	30.1%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
▶	71.8%	(.f64 x (.f64 (fma.f64 (.f64 x y) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) (fma.f64 (*.f64 x y) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))))
▶	3.2%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 y x)))
✓	99.7%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) y))))
▶	15.1%	(.f64 x #s(approx ( x y) (-.f64 x y)))
✓	87.7%	#s(approx (* x (- 1 (* x y))) (+.f64 x (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))
▶	14.2%	#s(approx (* x (- 1 (* x y))) (*.f64 x x))
▶	4.0%	#s(approx (* x (- 1 (* x y))) (*.f64 x #s(literal -1 binary64)))
✓	43.9%	#s(approx (* x (- 1 (* x y))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))
✓	50.9%	#s(approx (* x (- 1 (* x y))) x)

Compiler

Compiled 259 to 169 computations (34.7% saved)

series193.0ms (3%)

Memory

14.2MiB live, 107.8MiB allocated; 32ms collecting garbage

Counts

21 → 59

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
3.0ms	y	0
2.0ms	x	-inf
2.0ms	x	inf
2.0ms	y	-inf
2.0ms	x	0

rewrite344.0ms (5.3%)

Memory

35.0MiB live, 128.5MiB allocated; 101ms collecting garbage

Counts

21 → 75

Calls

Call 1

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

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

eval20.0ms (0.3%)

Memory: -13.8MiB live, 33.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 4 608 to 736 computations (84% saved)

prune6.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	135	3	138
Fresh	0	1	1
Picked	1	4	5
Done	2	4	6
Total	138	12	150

Accuracy

100.0%

Counts

150 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
▶	30.1%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	71.8%	(.f64 x (.f64 (fma.f64 (.f64 x y) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) (fma.f64 (*.f64 x y) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))))
✓	3.2%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 y x)))
✓	99.7%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) y))))
✓	15.1%	(.f64 x #s(approx ( x y) (-.f64 x y)))
▶	9.5%	(.f64 x #s(approx ( x y) #s(approx (- x y) (*.f64 #s(literal -1 binary64) y))))
▶	87.7%	(.f64 #s(literal 1 binary64) (-.f64 x (.f64 (*.f64 x x) y)))
▶	4.0%	#s(approx (- x (* (* x y) x)) (neg.f64 x))
✓	14.2%	#s(approx (* x (- 1 (* x y))) (*.f64 x x))
✓	50.9%	#s(approx (* x (- 1 (* x y))) x)

Compiler

Compiled 158 to 103 computations (34.8% saved)

series278.0ms (4.2%)

Memory

-11.2MiB live, 80.4MiB allocated; 12ms collecting garbage

Counts

20 → 45

Calls

Call 1

Inputs
#s(approx (- x (* (* x y) x)) (neg.f64 x))
(neg.f64 x)
x
(.f64 #s(literal 1 binary64) (-.f64 x (.f64 (*.f64 x x) y)))
#s(literal 1 binary64)
(-.f64 x (.f64 (.f64 x x) y))
(.f64 (.f64 x x) y)
(*.f64 x x)
y
(.f64 x #s(approx ( x y) #s(approx (- x y) (*.f64 #s(literal -1 binary64) y))))
#s(approx (* x y) #s(approx (- x y) (*.f64 #s(literal -1 binary64) y)))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 y y)))
(.f64 (.f64 x x) (*.f64 y y))
(*.f64 y y)
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)

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

Calls

6 calls:

Time	Variable	Point
43.0ms	y	-inf
4.0ms	x	0
2.0ms	x	-inf
2.0ms	x	inf
2.0ms	y	inf

rewrite333.0ms (5.1%)

Memory

2.1MiB live, 140.2MiB allocated; 59ms collecting garbage

Counts

20 → 66

Calls

Call 1

Inputs
#s(approx (- x (* (* x y) x)) (neg.f64 x))
(neg.f64 x)
x
(.f64 #s(literal 1 binary64) (-.f64 x (.f64 (*.f64 x x) y)))
#s(literal 1 binary64)
(-.f64 x (.f64 (.f64 x x) y))
(.f64 (.f64 x x) y)
(*.f64 x x)
y
(.f64 x #s(approx ( x y) #s(approx (- x y) (*.f64 #s(literal -1 binary64) y))))
#s(approx (* x y) #s(approx (- x y) (*.f64 #s(literal -1 binary64) y)))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 y y)))
(.f64 (.f64 x x) (*.f64 y y))
(*.f64 y y)
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)

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

eval17.0ms (0.3%)

Memory: -15.7MiB live, 28.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 2 688 to 529 computations (80.3% saved)

prune6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	121	3	124
Fresh	0	0	0
Picked	1	3	4
Done	2	6	8
Total	124	12	136

Accuracy

100.0%

Counts

136 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (.f64 y x))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
✓	58.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
✓	30.1%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	71.8%	(.f64 x (.f64 (fma.f64 (.f64 x y) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) (fma.f64 (*.f64 x y) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))))
✓	3.2%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 y x)))
	9.5%	(.f64 x #s(approx ( x y) #s(approx (- x y) (neg.f64 y))))
	99.9%	(.f64 #s(literal 1 binary64) (-.f64 x (.f64 (*.f64 y x) x)))
✓	87.7%	(.f64 #s(literal 1 binary64) (-.f64 x (.f64 (*.f64 x x) y)))
✓	4.0%	#s(approx (- x (* (* x y) x)) (neg.f64 x))
✓	14.2%	#s(approx (* x (- 1 (* x y))) (*.f64 x x))
✓	50.9%	#s(approx (* x (- 1 (* x y))) x)

Compiler

Compiled 163 to 105 computations (35.6% saved)

regimes86.0ms (1.3%)

Memory

-21.8MiB live, 78.8MiB allocated; 16ms collecting garbage

Accuracy

Total -31.1b remaining (-39.4%)

Threshold costs -31.1b (-39.4%)

Counts

3 → 1

4 → 2

8 → 3

10 → 1

18 → 1

Calls

Call 1

Inputs
#s(approx (* x (- 1 (* x y))) x)
#s(approx (- x (* (* x y) x)) (neg.f64 x))
#s(approx (* x (- 1 (* x y))) (*.f64 x #s(literal -1 binary64)))

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

Call 2

Inputs
#s(approx (* x (- 1 (* x y))) x)
#s(approx (- x (* (* x y) x)) (neg.f64 x))
#s(approx (* x (- 1 (* x y))) (*.f64 x #s(literal -1 binary64)))
#s(approx (* x (- 1 (* x y))) (*.f64 x x))

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

Call 3

Inputs
#s(approx (* x (- 1 (* x y))) x)
#s(approx (- x (* (* x y) x)) (neg.f64 x))
#s(approx (* x (- 1 (* x y))) (*.f64 x #s(literal -1 binary64)))
#s(approx (* x (- 1 (* x y))) (*.f64 x x))
(.f64 x #s(approx ( x y) #s(approx (- x y) (neg.f64 y))))
(.f64 x #s(approx ( x y) (-.f64 x y)))
(.f64 x #s(approx ( x y) #s(approx (- x y) (*.f64 #s(literal -1 binary64) y))))
(.f64 x #s(approx (- 1 ( x y)) (*.f64 y x)))

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

Call 4

Inputs
#s(approx (* x (- 1 (* x y))) x)
#s(approx (- x (* (* x y) x)) (neg.f64 x))
#s(approx (* x (- 1 (* x y))) (*.f64 x #s(literal -1 binary64)))
#s(approx (* x (- 1 (* x y))) (*.f64 x x))
(.f64 x #s(approx ( x y) #s(approx (- x y) (neg.f64 y))))
(.f64 x #s(approx ( x y) (-.f64 x y)))
(.f64 x #s(approx ( x y) #s(approx (- x y) (*.f64 #s(literal -1 binary64) y))))
(.f64 x #s(approx (- 1 ( x y)) (*.f64 y x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(.f64 #s(literal 1 binary64) (-.f64 x (.f64 (*.f64 x x) y)))

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

Call 5

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

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

Calls

13 calls:

34.0ms	y
14.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
5.0ms	x
5.0ms	y
4.0ms	y

Results

Accuracy	Segments	Branch
50.9%	1	`y`
50.9%	1	`x`
50.9%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`
61.2%	2	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`
64.6%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`
60.7%	3	`x`
55.1%	2	`y`
99.9%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 286 to 118 computations (58.7% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.926223753967034e+272	2.088494372779798e+279
0.0ms	-9.658029733491115e+262	-2.8738179564196428e+261

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.926223753967034e+272	2.088494372779798e+279

Compiler

Compiled 10 to 11 computations (-10% saved)

derivations1.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 107 to 28 computations (73.8% saved)

preprocess96.0ms (1.5%)

Memory: 4.5MiB live, 50.2MiB allocated; 24ms collecting garbage
Compiler: Compiled 114 to 34 computations (70.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample624.0ms (9.5%)

preprocess45.0ms (0.7%)

series169.0ms (2.6%)

rewrite272.0ms (4.2%)

eval7.0ms (0.1%)

prune8.0ms (0.1%)

series210.0ms (3.2%)

rewrite3.8s (57.7%)

eval11.0ms (0.2%)

prune37.0ms (0.6%)

series193.0ms (3%)

rewrite344.0ms (5.3%)

eval20.0ms (0.3%)

prune6.0ms (0.1%)

series278.0ms (4.2%)

rewrite333.0ms (5.1%)

eval17.0ms (0.3%)

prune6.0ms (0.1%)

regimes86.0ms (1.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

derivations1.0ms (0%)

preprocess96.0ms (1.5%)

end0.0ms (0%)

Profiling