Metrics for Statistics.Sample:$swelfordMean from math-functions-0.1.5.2

start0.0ms (0%)

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

analyze42.0ms (2%)

Memory

-11.8MiB live, 77.6MiB allocated; 17ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample755.0ms (36.6%)

Memory

26.1MiB live, 1 083.3MiB allocated; 311ms collecting garbage

Samples

475.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-add!: 52.0ms (41% of total)

ival-div!: 43.0ms (33.9% of total)

ival-sub!: 30.0ms (23.7% of total)

adjust: 1.0ms (0.8% of total)

Bogosity

preprocess48.0ms (2.3%)

Memory

-0.2MiB live, 46.3MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	79
1	75	78
2	195	78
3	476	77
4	1243	77
5	4217	77

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series8.0ms (0.4%)

Memory

30.9MiB live, 30.9MiB allocated; 0ms collecting garbage

Counts

6 → 28

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
x
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
z

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ x (/ (- y x) z)) x (/ (- y x) z) (- y x) y z)
1.0ms	x	@	-inf	((+ x (/ (- y x) z)) x (/ (- y x) z) (- y x) y z)
1.0ms	x	@	inf	((+ x (/ (- y x) z)) x (/ (- y x) z) (- y x) y z)
1.0ms	x	@	0	((+ x (/ (- y x) z)) x (/ (- y x) z) (- y x) y z)
1.0ms	y	@	inf	((+ x (/ (- y x) z)) x (/ (- y x) z) (- y x) y z)

rewrite182.0ms (8.8%)

Memory

18.7MiB live, 390.3MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	424
0	106	405
1	532	386
2	5052	386
0	8729	381

Stop Event

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

Counts

34 → 106

Calls

Call 1

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

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

eval15.0ms (0.7%)

Memory: -8.4MiB live, 35.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 034 to 371 computations (81.8% saved)

prune5.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	8	99

Accuracy

100.0%

Counts

99 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(fma.f64 (/.f64 #s(literal 1 binary64) z) y (-.f64 x (/.f64 x z)))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	72.0%	(+.f64 x (/.f64 #s(approx (- y x) y) z))
▶	98.7%	#s(approx (+ x (/ (- y x) z)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) x (/.f64 y z)))
▶	66.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	39.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	64.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
	63.9%	#s(approx (+ x (/ (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) x))

Compiler

Compiled 185 to 134 computations (27.6% saved)

series28.0ms (1.3%)

Memory

-30.6MiB live, 42.4MiB allocated; 21ms collecting garbage

Counts

19 → 43

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	((+ x (/ (- y x) z)) (+ (* (- 1 (/ 1 z)) x) (/ y z)) (- 1 (/ 1 z)) 1 (/ 1 z) z x (/ y z) y (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
2.0ms	z	@	inf	((+ x (/ (- y x) z)) (+ (* (- 1 (/ 1 z)) x) (/ y z)) (- 1 (/ 1 z)) 1 (/ 1 z) z x (/ y z) y (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
2.0ms	z	@	-inf	((+ x (/ (- y x) z)) (+ (* (- 1 (/ 1 z)) x) (/ y z)) (- 1 (/ 1 z)) 1 (/ 1 z) z x (/ y z) y (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
2.0ms	x	@	-inf	((+ x (/ (- y x) z)) (+ (* (- 1 (/ 1 z)) x) (/ y z)) (- 1 (/ 1 z)) 1 (/ 1 z) z x (/ y z) y (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms	z	@	0	((+ x (/ (- y x) z)) (+ (* (- 1 (/ 1 z)) x) (/ y z)) (- 1 (/ 1 z)) 1 (/ 1 z) z x (/ y z) y (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x))

rewrite208.0ms (10.1%)

Memory

-8.6MiB live, 361.7MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	769
0	169	736
1	791	702
2	7339	702
0	8916	699

Stop Event

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

Counts

62 → 235

Calls

Call 1

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

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

eval24.0ms (1.1%)

Memory: 7.3MiB live, 53.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 5 228 to 812 computations (84.5% saved)

prune7.0ms (0.3%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	213	4	217
Fresh	1	1	2
Picked	1	4	5
Done	1	0	1
Total	216	9	225

Accuracy

100.0%

Counts

225 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(fma.f64 (/.f64 #s(literal 1 binary64) z) y (-.f64 x (/.f64 x z)))
✓	72.0%	(+.f64 x (/.f64 #s(approx (- y x) y) z))
▶	65.4%	#s(approx (+ x (/ (- y x) z)) (fma.f64 #s(approx (- 1 (/ 1 z)) (/.f64 #s(literal -1 binary64) z)) x (/.f64 y z)))
▶	63.9%	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
✓	66.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	31.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	39.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	100.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 (-.f64 x y) z)))
✓	64.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 200 to 139 computations (30.5% saved)

series16.0ms (0.8%)

Memory

-10.7MiB live, 35.7MiB allocated; 3ms collecting garbage

Counts

24 → 61

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (- y x) z)) #s(hole binary64 (/ y z)))
#s(approx (+ x (/ (- y x) z)) #s(hole binary64 (+ (* x (- 1 (/ 1 z))) (/ y z))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- x y) z) #s(hole binary64 (* -1 (/ y z))))
#s(approx (/ (- x y) z) #s(hole binary64 (+ (* -1 (/ y z)) (/ x z))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (/ (- y x) z) #s(hole binary64 (+ (* -1 (/ x z)) (/ y z))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* x (/ -1 z)) x) #s(hole binary64 (* x (- 1 (/ 1 z)))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx (+ x (/ (- y x) z)) #s(hole binary64 (* x (- (+ 1 (/ y (* x z))) (/ 1 z)))))
#s(approx (/ (- x y) z) #s(hole binary64 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (/ (- y x) z) #s(hole binary64 (* -1 (/ x z))))
#s(approx (/ (- y x) z) #s(hole binary64 (* x (- (/ y (* x z)) (/ 1 z)))))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (+ x (/ (- y x) z)) #s(hole binary64 (* -1 (* x (- (/ 1 z) 1)))))
#s(approx (+ x (/ (- y x) z)) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))))
#s(approx (/ (- x y) z) #s(hole binary64 (* -1 (* x (- (/ y (* x z)) (/ 1 z))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ (- y x) z) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (+ (* (- 1 (/ 1 z)) x) (/ y z)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1 (/ 1 z))) (* -1 (/ y (* x z))))))))
#s(approx (+ x (/ (- y x) z)) #s(hole binary64 (- x (/ x z))))
#s(approx (+ x (/ (- y x) z)) #s(hole binary64 (- (+ x (/ y z)) (/ x z))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (+ x (/ (- y x) z)) #s(hole binary64 (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))))
#s(approx (/ (- x y) z) #s(hole binary64 (* y (- (/ x (* y z)) (/ 1 z)))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (/ (- y x) z) #s(hole binary64 (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (+ (* (- 1 (/ 1 z)) x) (/ y z)) #s(hole binary64 (* y (+ (/ 1 z) (/ (* x (- 1 (/ 1 z))) y)))))
#s(approx (+ x (/ (- y x) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))))
#s(approx (- x (/ (- x y) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))))
#s(approx (/ (- x y) z) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (/ (- y x) z) #s(hole binary64 (* -1 (* y (- (/ x (* y z)) (/ 1 z))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
#s(approx (+ (* (- 1 (/ 1 z)) x) (/ y z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (* x (- 1 (/ 1 z))) y)) (/ 1 z))))))
#s(approx (+ x (/ (- y x) z)) #s(hole binary64 (/ (- y x) z)))
#s(approx (+ x (/ (- y x) z)) #s(hole binary64 (/ (- (+ y (* x z)) x) z)))
#s(approx (/ (- x y) z) #s(hole binary64 (/ (- x y) z)))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* x (/ -1 z)) x) #s(hole binary64 (/ (+ (* -1 x) (* x z)) z)))
#s(approx (/ -1 z) #s(hole binary64 (/ -1 z)))
#s(approx (+ (* (- 1 (/ 1 z)) x) (/ y z)) #s(hole binary64 (/ (+ y (* -1 x)) z)))
#s(approx (+ (* (- 1 (/ 1 z)) x) (/ y z)) #s(hole binary64 (/ (+ y (+ (* -1 x) (* x z))) z)))
#s(approx (- 1 (/ 1 z)) #s(hole binary64 (/ (- z 1) z)))
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z)))
#s(approx (- x (/ x z)) #s(hole binary64 (/ (- (* x z) x) z)))
#s(approx (+ (* x (/ -1 z)) x) #s(hole binary64 (+ x (* -1 (/ x z)))))
#s(approx (+ (* (- 1 (/ 1 z)) x) (/ y z)) #s(hole binary64 (+ x (+ (* -1 (/ x z)) (/ y z)))))
#s(approx (- 1 (/ 1 z)) #s(hole binary64 1))
#s(approx (- 1 (/ 1 z)) #s(hole binary64 (- 1 (/ 1 z))))
#s(approx (- x (/ (- x y) z)) #s(hole binary64 (+ x (* -1 (/ (- x y) z)))))
#s(approx (+ (* (- 1 (/ 1 z)) x) (/ y z)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 y)) z)))))
#s(approx (+ (* (/ 1 z) y) (- x (/ x z))) #s(hole binary64 (+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ x (/ (- y x) z)) (- x (/ (- x y) z)) x (/ (- x y) z) (- x y) y z (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ (- y x) z)) (+ (* x (/ -1 z)) x) (/ -1 z) -1 (+ x (/ (- y x) z)) (+ (* (- 1 (/ 1 z)) x) (/ y z)) (- 1 (/ 1 z)) (/ y z) (+ (* (/ 1 z) y) (- x (/ x z))) (/ 1 z) 1 (- x (/ x z)) (/ x z))
2.0ms	z	@	-inf	((+ x (/ (- y x) z)) (- x (/ (- x y) z)) x (/ (- x y) z) (- x y) y z (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ (- y x) z)) (+ (* x (/ -1 z)) x) (/ -1 z) -1 (+ x (/ (- y x) z)) (+ (* (- 1 (/ 1 z)) x) (/ y z)) (- 1 (/ 1 z)) (/ y z) (+ (* (/ 1 z) y) (- x (/ x z))) (/ 1 z) 1 (- x (/ x z)) (/ x z))
2.0ms	z	@	0	((+ x (/ (- y x) z)) (- x (/ (- x y) z)) x (/ (- x y) z) (- x y) y z (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ (- y x) z)) (+ (* x (/ -1 z)) x) (/ -1 z) -1 (+ x (/ (- y x) z)) (+ (* (- 1 (/ 1 z)) x) (/ y z)) (- 1 (/ 1 z)) (/ y z) (+ (* (/ 1 z) y) (- x (/ x z))) (/ 1 z) 1 (- x (/ x z)) (/ x z))
1.0ms	x	@	0	((+ x (/ (- y x) z)) (- x (/ (- x y) z)) x (/ (- x y) z) (- x y) y z (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ (- y x) z)) (+ (* x (/ -1 z)) x) (/ -1 z) -1 (+ x (/ (- y x) z)) (+ (* (- 1 (/ 1 z)) x) (/ y z)) (- 1 (/ 1 z)) (/ y z) (+ (* (/ 1 z) y) (- x (/ x z))) (/ 1 z) 1 (- x (/ x z)) (/ x z))
1.0ms	z	@	inf	((+ x (/ (- y x) z)) (- x (/ (- x y) z)) x (/ (- x y) z) (- x y) y z (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ (- y x) z)) (+ (* x (/ -1 z)) x) (/ -1 z) -1 (+ x (/ (- y x) z)) (+ (* (- 1 (/ 1 z)) x) (/ y z)) (- 1 (/ 1 z)) (/ y z) (+ (* (/ 1 z) y) (- x (/ x z))) (/ 1 z) 1 (- x (/ x z)) (/ x z))

rewrite136.0ms (6.6%)

Memory

-11.3MiB live, 221.3MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	1087
0	223	1030
1	1008	972
0	8985	960

Stop Event

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

Counts

85 → 440

Calls

Call 1

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

Outputs
#s(approx (+ (* (/ 1 z) y) (- x (/ x z))) (-.f64 x (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 (.f64 (-.f64 x (/.f64 x z)) (-.f64 x (/.f64 x z))) (/.f64 (.f64 y y) (*.f64 z z))) (-.f64 (-.f64 x (/.f64 x z)) (/.f64 y z)))
(/.f64 (-.f64 (/.f64 (.f64 (-.f64 x y) (-.f64 x y)) (.f64 z z)) (*.f64 x x)) (-.f64 (/.f64 (-.f64 y x) z) x))
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 x z)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z))) (fma.f64 (-.f64 x (/.f64 x z)) (-.f64 x (/.f64 x z)) (-.f64 (/.f64 (.f64 y y) (.f64 z z)) (*.f64 (-.f64 x (/.f64 x z)) (/.f64 y z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z) (-.f64 (.f64 x x) (.f64 (/.f64 (-.f64 y x) z) x))))
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 z) (.f64 (neg.f64 z) (fma.f64 (neg.f64 z) x x))) (.f64 z z))
(/.f64 (fma.f64 (neg.f64 z) y (.f64 (neg.f64 z) (-.f64 (.f64 z x) x))) (*.f64 (neg.f64 z) z))
(/.f64 (fma.f64 (neg.f64 z) y (.f64 z (fma.f64 (neg.f64 z) x x))) (.f64 z (neg.f64 z)))
(/.f64 (fma.f64 z y (.f64 z (-.f64 (.f64 z x) x))) (*.f64 z z))
(/.f64 (fma.f64 (-.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 z z))) z (.f64 (+.f64 x (/.f64 x z)) y)) (*.f64 (+.f64 x (/.f64 x z)) z))
(/.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) x) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z))) z (.f64 (fma.f64 x x (.f64 (/.f64 x z) (+.f64 (/.f64 x z) x))) y)) (.f64 (fma.f64 x x (.f64 (/.f64 x z) (+.f64 (/.f64 x z) x))) z))
(/.f64 (fma.f64 y (+.f64 x (/.f64 x z)) (.f64 z (-.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 z z))))) (*.f64 z (+.f64 x (/.f64 x z))))
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eval85.0ms (4.1%)

Memory: -13.0MiB live, 79.9MiB allocated; 77ms collecting garbage
Compiler: Compiled 8 510 to 1 263 computations (85.2% saved)

prune17.0ms (0.8%)

Memory

-24.7MiB live, 27.1MiB allocated; 9ms collecting garbage

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	314	0	314
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	314	9	323

Accuracy

100.0%

Counts

323 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(fma.f64 (/.f64 #s(literal 1 binary64) z) y (-.f64 x (/.f64 x z)))
✓	72.0%	(+.f64 x (/.f64 #s(approx (- y x) y) z))
✓	65.4%	#s(approx (+ x (/ (- y x) z)) (fma.f64 #s(approx (- 1 (/ 1 z)) (/.f64 #s(literal -1 binary64) z)) x (/.f64 y z)))
✓	63.9%	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
✓	66.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	31.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	39.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	100.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 (-.f64 x y) z)))
✓	64.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 286 to 130 computations (54.5% saved)

regimes16.0ms (0.8%)

Memory

-5.0MiB live, 41.7MiB allocated; 2ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 (-.f64 x y) z)))

Calls

4 calls:

5.0ms	x
4.0ms	z
4.0ms	y
3.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes10.0ms (0.5%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

Outputs
(+.f64 x (/.f64 #s(approx (- y x) y) z))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(+.f64 x (/.f64 #s(approx (- y x) y) z))

Calls

4 calls:

2.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
86.1%	4	`(+.f64 x (/.f64 (-.f64 y x) z))`
88.4%	3	`x`
88.2%	3	`y`
98.4%	3	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes7.0ms (0.3%)

Memory

-29.2MiB live, 17.4MiB allocated; 2ms collecting garbage

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))

Outputs
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Calls

3 calls:

3.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
83.7%	3	`y`
87.2%	3	`x`
85.6%	3	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes7.0ms (0.3%)

Memory

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

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Outputs
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Calls

4 calls:

2.0ms	y
2.0ms	z
2.0ms	x
1.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
79.6%	3	`y`
64.0%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
64.0%	1	`z`
80.4%	3	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.3%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))

Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))

Calls

4 calls:

1.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
44.3%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`
47.5%	3	`z`
55.3%	3	`y`
55.8%	3	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.3%)

Memory

-36.7MiB live, 14.2MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Calls

4 calls:

3.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
39.7%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
39.7%	1	`z`
39.7%	1	`y`
39.7%	1	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch22.0ms (1%)

Memory

-2.7MiB live, 43.9MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.66106235154172e-5	9.813979860062283
9.0ms	-1.6301378755970768	-7.795198894407818e-8

Samples

9.0ms

288×

valid

Compiler

Compiled 406 to 336 computations (17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub!: 1.0ms (33.3% of total)

ival-add!: 1.0ms (33.3% of total)

ival-div!: 1.0ms (33.3% of total)

adjust: 0.0ms (0% of total)

bsearch23.0ms (1.1%)

Memory

0.6MiB live, 46.7MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.3868934162942275e+39	1.1273537778441984e+48
10.0ms	-1007463191.8725095	-0.18165693841356736

Samples

9.0ms

304×

valid

Compiler

Compiled 504 to 392 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div!: 2.0ms (62.8% of total)

ival-sub!: 1.0ms (31.4% of total)

ival-add!: 1.0ms (31.4% of total)

adjust: 0.0ms (0% of total)

bsearch23.0ms (1.1%)

Memory

3.6MiB live, 49.3MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.4090155146152619e-34	5.682241493363328e-34
12.0ms	-3.4856316685945343e-46	-1.6121809483676416e-66

Samples

9.0ms

272×

valid

Compiler

Compiled 418 to 335 computations (19.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub!: 1.0ms (35% of total)

ival-add!: 1.0ms (35% of total)

ival-div!: 1.0ms (35% of total)

adjust: 0.0ms (0% of total)

bsearch15.0ms (0.7%)

Memory

35.4MiB live, 35.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.618498014180566e+27	7.805172600551081e+28
6.0ms	-163360957801038400.0	-14685237582681456.0

Samples

7.0ms

208×

valid

Compiler

Compiled 361 to 272 computations (24.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub!: 1.0ms (45.9% of total)

ival-div!: 1.0ms (45.9% of total)

adjust: 0.0ms (0% of total)

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

derivations319.0ms (15.4%)

Memory

-31.1MiB live, 254.6MiB allocated; 20ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 208 to 49 computations (76.4% saved)

preprocess37.0ms (1.8%)

Memory: 17.3MiB live, 109.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 215 to 55 computations (74.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze42.0ms (2%)

sample755.0ms (36.6%)

preprocess48.0ms (2.3%)

series8.0ms (0.4%)

rewrite182.0ms (8.8%)

eval15.0ms (0.7%)

prune5.0ms (0.2%)

series28.0ms (1.3%)

rewrite208.0ms (10.1%)

eval24.0ms (1.1%)

prune7.0ms (0.3%)

series16.0ms (0.8%)

rewrite136.0ms (6.6%)

eval85.0ms (4.1%)

prune17.0ms (0.8%)

regimes16.0ms (0.8%)

regimes10.0ms (0.5%)

regimes7.0ms (0.3%)

regimes7.0ms (0.3%)

regimes5.0ms (0.3%)

regimes6.0ms (0.3%)

bsearch22.0ms (1%)

bsearch23.0ms (1.1%)

bsearch23.0ms (1.1%)

bsearch15.0ms (0.7%)

derivations319.0ms (15.4%)

preprocess37.0ms (1.8%)

end0.0ms (0%)

Profiling