Metrics for fabs fraction 2

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 8 to 8 computations (0% saved)

sample789.0ms (64.3%)

Memory

29.2MiB live, 619.0MiB allocated; 877ms collecting garbage

Samples

609.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-fabs: 50.0ms (42.1% of total)

ival-div!: 39.0ms (32.8% of total)

ival-sub!: 29.0ms (24.4% of total)

adjust: 1.0ms (0.8% of total)

Bogosity

preprocess79.0ms (6.5%)

Memory

-31.2MiB live, 62.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	40
1	66	36
2	190	36
3	555	36
4	2044	36

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))

Symmetry

(sort a b)

Compiler

Compiled 12 to 12 computations (0% saved)

series4.0ms (0.3%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

6 → 15

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)
a
b
#s(literal 2 binary64)

Outputs
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (- a b))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx a #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (neg (+ b (* -1 a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx b #s(hole binary64 b))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (+ a (* -1 b)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)
1.0ms	a	@	inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)
1.0ms	b	@	-inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)
1.0ms	b	@	inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)
1.0ms	b	@	0	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)

rewrite68.0ms (5.5%)

Memory

34.5MiB live, 79.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	173
0	55	136
1	251	136
0	2157	136

Stop Event

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

Counts

21 → 142

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)
a
b
#s(literal 2 binary64)
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (- a b))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx a #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (neg (+ b (* -1 a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx b #s(hole binary64 b))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (+ a (* -1 b)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

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

eval14.0ms (1.2%)

Memory: -21.9MiB live, 23.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 966 to 479 computations (50.4% saved)

prune3.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	2	129

Accuracy

100.0%

Counts

129 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.9%	(/.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 2 binary64))
▶	100.0%	(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))

Compiler

Compiled 14 to 14 computations (0% saved)

series5.0ms (0.4%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

11 → 28

Calls

Call 1

Inputs
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(-.f64 b a)
b
a
#s(literal 1/2 binary64)
(/.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 2 binary64))
(fabs.f64 #s(approx (- a b) (neg.f64 b)))
#s(approx (- a b) (neg.f64 b))
(neg.f64 b)
#s(literal 2 binary64)

Outputs
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (- b a)))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (- b a))))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx a #s(hole binary64 a))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (- a b))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (- b a) #s(hole binary64 (* -1 a)))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (+ b (* -1 a))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (+ b (* -1 a)))))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (neg (+ b (* -1 a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (neg (+ a (* -1 b)))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (neg (+ a (* -1 b))))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (+ a (* -1 b)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b a 1/2 (/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) (neg b) 2)
1.0ms	b	@	-inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b a 1/2 (/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) (neg b) 2)
1.0ms	a	@	inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b a 1/2 (/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) (neg b) 2)
1.0ms	b	@	inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b a 1/2 (/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) (neg b) 2)
1.0ms	a	@	0	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b a 1/2 (/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) (neg b) 2)

rewrite92.0ms (7.5%)

Memory

14.7MiB live, 65.7MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	351
0	86	277
1	321	277
0	2539	277

Stop Event

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

Counts

39 → 185

Calls

Call 1

Inputs
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(-.f64 b a)
b
a
#s(literal 1/2 binary64)
(/.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 2 binary64))
(fabs.f64 #s(approx (- a b) (neg.f64 b)))
#s(approx (- a b) (neg.f64 b))
(neg.f64 b)
#s(literal 2 binary64)
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (- b a)))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (- b a))))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx a #s(hole binary64 a))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (- a b))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (- b a) #s(hole binary64 (* -1 a)))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (+ b (* -1 a))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (+ b (* -1 a)))))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (neg (+ b (* -1 a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (neg (+ a (* -1 b)))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (neg (+ a (* -1 b))))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (+ a (* -1 b)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

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

eval18.0ms (1.5%)

Memory: -17.0MiB live, 29.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 110 to 540 computations (51.4% saved)

prune5.0ms (0.4%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	152	3	155

Accuracy

100.0%

Counts

155 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
▶	51.7%	(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
▶	50.9%	(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))

Compiler

Compiled 21 to 21 computations (0% saved)

series3.0ms (0.2%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

10 → 15

Calls

Call 1

Inputs
(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- b a) b))
#s(approx (- b a) b)
b
#s(literal 1/2 binary64)
(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- b a) (neg.f64 a)))
#s(approx (- b a) (neg.f64 a))
(neg.f64 a)
a

Outputs
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (- b a)))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (- b a))))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (+ b (* -1 a))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (+ b (* -1 a)))))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (neg (+ a (* -1 b)))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (neg (+ a (* -1 b))))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b 1/2 (* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) (neg a) a)
1.0ms	b	@	-inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b 1/2 (* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) (neg a) a)
0.0ms	a	@	inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b 1/2 (* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) (neg a) a)
0.0ms	b	@	inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b 1/2 (* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) (neg a) a)
0.0ms	a	@	0	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b 1/2 (* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) (neg a) a)

rewrite56.0ms (4.6%)

Memory

-6.4MiB live, 39.8MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	204
0	59	167
1	257	167
0	2143	167

Stop Event

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

Counts

25 → 41

Calls

Call 1

Inputs
(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- b a) b))
#s(approx (- b a) b)
b
#s(literal 1/2 binary64)
(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- b a) (neg.f64 a)))
#s(approx (- b a) (neg.f64 a))
(neg.f64 a)
a
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (- b a)))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (- b a))))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (+ b (* -1 a))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (+ b (* -1 a)))))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (neg (+ a (* -1 b)))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (neg (+ a (* -1 b))))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))

Outputs
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) b)))
(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(approx (- b a) b)) (sqrt.f64 #s(approx (- b a) b)))
(pow.f64 (*.f64 #s(approx (- b a) b) #s(approx (- b a) b)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(approx (- b a) b) #s(approx (- b a) b)))
(fabs.f64 (neg.f64 (neg.f64 #s(approx (- b a) b))))
(fabs.f64 (neg.f64 #s(approx (- b a) b)))
(fabs.f64 (fabs.f64 #s(approx (- b a) b)))
(fabs.f64 #s(approx (- b a) b))
#s(approx (- b a) b)
b
#s(literal 1/2 binary64)
(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) (neg.f64 a))))
(*.f64 (sqrt.f64 #s(approx (- b a) (neg.f64 a))) (sqrt.f64 #s(approx (- b a) (neg.f64 a))))
(pow.f64 (*.f64 #s(approx (- b a) (neg.f64 a)) #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(approx (- b a) (neg.f64 a)) #s(approx (- b a) (neg.f64 a))))
(fabs.f64 (neg.f64 (neg.f64 #s(approx (- b a) (neg.f64 a)))))
(fabs.f64 (neg.f64 #s(approx (- b a) (neg.f64 a))))
(fabs.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))))
(fabs.f64 #s(approx (- b a) (neg.f64 a)))
#s(approx (- b a) (neg.f64 a))
(*.f64 #s(literal -1 binary64) a)
(*.f64 a #s(literal -1 binary64))
(neg.f64 a)
a
#s(approx (* (fabs (- b a)) 1/2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 a b)))
#s(approx (- b a) b)
#s(approx (- b a) (-.f64 b a))
#s(approx (neg a) (neg.f64 a))
#s(approx a a)
#s(approx (- b a) (-.f64 b a))
#s(approx (* (fabs (- b a)) 1/2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 a b)))
#s(approx (- b a) (-.f64 b a))
#s(approx (- b a) (-.f64 b a))
#s(approx (- b a) (-.f64 b a))
#s(approx (* (fabs (- b a)) 1/2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 a b)))
#s(approx (- b a) (-.f64 b a))

eval2.0ms (0.2%)

Memory: 3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 137 to 75 computations (45.3% saved)

prune2.0ms (0.2%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	21	3	24

Accuracy

100.0%

Counts

24 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
✓	51.7%	(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
✓	50.9%	(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))

Compiler

Compiled 45 to 44 computations (2.2% saved)

regimes12.0ms (1%)

Memory

-26.1MiB live, 19.8MiB allocated; 3ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))

Outputs
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))

Calls

5 calls:

3.0ms	a
3.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
2.0ms	(fabs.f64 (-.f64 a b))
2.0ms	b
2.0ms	(-.f64 a b)

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 a b)`
100.0%	1	`(fabs.f64 (-.f64 a b))`
100.0%	1	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
100.0%	1	`a`
100.0%	1	`b`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes8.0ms (0.6%)

Memory

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

Counts

3 → 2

Calls

Call 1

Inputs

(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))

(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))

(/.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 2 binary64))

Outputs
(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))

Calls

5 calls:

1.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
1.0ms	(fabs.f64 (-.f64 a b))
1.0ms	b
1.0ms	(-.f64 a b)
1.0ms	a

Results

Accuracy	Segments	Branch
61.0%	4	`(-.f64 a b)`
61.0%	4	`(fabs.f64 (-.f64 a b))`
61.0%	4	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
84.9%	2	`a`
82.6%	2	`b`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.4%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))

Outputs
(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))

Calls

5 calls:

1.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
1.0ms	(fabs.f64 (-.f64 a b))
1.0ms	a
1.0ms	(-.f64 a b)
1.0ms	b

Results

Accuracy	Segments	Branch
50.9%	1	`(-.f64 a b)`
50.9%	1	`(fabs.f64 (-.f64 a b))`
50.9%	1	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
50.9%	1	`b`
50.9%	1	`a`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch14.0ms (1.1%)

Memory

-33.4MiB live, 13.9MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-1.6613716763802633e-97	-1.0510456616670241e-98

Samples

7.0ms

96×

valid

Compiler

Compiled 99 to 113 computations (-14.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div!: 5.0ms (93% of total)

ival-fabs: 1.0ms (18.6% of total)

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

adjust: 0.0ms (0% of total)

derivations20.0ms (1.7%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 18 to 17 computations (5.6% saved)

preprocess26.0ms (2.1%)

Memory: 3.0MiB live, 48.4MiB allocated; 4ms collecting garbage
Remove: (sort a b)
Compiler: Compiled 80 to 77 computations (3.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample789.0ms (64.3%)

preprocess79.0ms (6.5%)

series4.0ms (0.3%)

rewrite68.0ms (5.5%)

eval14.0ms (1.2%)

prune3.0ms (0.2%)

series5.0ms (0.4%)

rewrite92.0ms (7.5%)

eval18.0ms (1.5%)

prune5.0ms (0.4%)

series3.0ms (0.2%)

rewrite56.0ms (4.6%)

eval2.0ms (0.2%)

prune2.0ms (0.2%)

regimes12.0ms (1%)

regimes8.0ms (0.6%)

regimes5.0ms (0.4%)

bsearch14.0ms (1.1%)

derivations20.0ms (1.7%)

preprocess26.0ms (2.1%)

end0.0ms (0%)

Profiling