fabs fraction 2

Time bar (total: 1.3s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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 (60.8%)

Memory
26.2MiB live, 574.7MiB allocated; 952ms collecting garbage
Samples
616.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-fabs: 47.0ms (38.6% of total)
ival-div!: 43.0ms (35.4% of total)
ival-sub!: 30.0ms (24.7% of total)
adjust: 1.0ms (0.8% of total)
Bogosity

preprocess91.0ms (7%)

Memory
-5.0MiB live, 43.7MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01940
15340
210740
335840
4189340
5519040
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
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
6.9MiB live, 6.9MiB 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:

TimeVariablePointExpression
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)
0.0ms
b
@0
((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)

rewrite63.0ms (4.9%)

Memory
27.1MiB live, 70.9MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051173
055156
1206153
01483153
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
21 → 52
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 (neg.f64 (fabs.f64 (-.f64 b a)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fabs.f64 (-.f64 b a))) #s(literal -2 binary64))
(/.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 (neg.f64 (fabs.f64 (-.f64 b a))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (-.f64 a b)))
(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 (-.f64 a b))
(/.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 (*.f64 (+.f64 b a) (-.f64 a b))) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 b 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 (-.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 (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))))
(neg.f64 (-.f64 b a))
(fma.f64 #s(literal -1 binary64) b a)
(fma.f64 b #s(literal -1 binary64) 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 a (*.f64 (neg.f64 b) #s(literal -1 binary64)))
(-.f64 a b)
(+.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 (neg.f64 b) 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 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#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 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (- a b) (-.f64 a b))
#s(approx b b)
#s(approx (- a b) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) 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 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (neg.f64 b)))

eval4.0ms (0.3%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 311 to 168 computations (46% saved)

prune2.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New39241
Fresh000
Picked101
Done000
Total40242
Accuracy
100.0%
Counts
42 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(/.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 2 binary64))
100.0%
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
Compiler

Compiled 19 to 19 computations (0% saved)

series35.0ms (2.7%)

Memory
-35.7MiB live, 9.0MiB allocated; 8ms collecting garbage
Counts
12 → 28
Calls
Call 1
Inputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 b a))
(-.f64 b a)
b
a
(/.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 (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (* 1/2 (fabs (- b a))) #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)) #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 (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (* 1/2 (fabs (- b a))) #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)) #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 (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (* 1/2 (fabs (- b a))) #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)) #s(hole binary64 (fabs (+ a (* -1 b)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
Calls

6 calls:

TimeVariablePointExpression
30.0ms
b
@-inf
((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b a (/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) (neg b) 2)
1.0ms
a
@-inf
((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b a (/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) (neg b) 2)
1.0ms
a
@inf
((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b a (/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) (neg b) 2)
1.0ms
b
@inf
((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b a (/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) (neg b) 2)
1.0ms
a
@0
((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b a (/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) (neg b) 2)

rewrite55.0ms (4.3%)

Memory
44.1MiB live, 44.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079364
087332
1269324
01786324
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
40 → 79
Calls
Call 1
Inputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 b a))
(-.f64 b a)
b
a
(/.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 (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (* 1/2 (fabs (- b a))) #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)) #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 (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (* 1/2 (fabs (- b a))) #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)) #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 (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (* 1/2 (fabs (- b a))) #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)) #s(hole binary64 (fabs (+ a (* -1 b)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
Outputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b)))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 (-.f64 b a)) (sqrt.f64 (-.f64 b a)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (-.f64 a b)))
(pow.f64 (*.f64 (-.f64 a b) (-.f64 a b)) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 a a) a))) (fabs.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (fabs.f64 (+.f64 b a)))
(/.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))))
(sqrt.f64 (*.f64 (-.f64 a b) (-.f64 a b)))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 b a))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 a a) a))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (+.f64 b a))
(/.f64 (neg.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))) (fma.f64 b (+.f64 b a) (*.f64 a a)))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (+.f64 b a))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 (neg.f64 a) b))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (+.f64 b a)))
(/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 a a) a)) (fma.f64 b b (*.f64 a (+.f64 b a))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 a a) a)) (fma.f64 b (+.f64 b a) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) (neg.f64 (fma.f64 b (+.f64 b a) (*.f64 a a))))
(neg.f64 (-.f64 a b))
(fma.f64 #s(literal -1 binary64) a b)
(fma.f64 a #s(literal -1 binary64) b)
(-.f64 (/.f64 (*.f64 b b) (+.f64 b a)) (/.f64 (*.f64 a a) (+.f64 b a)))
(-.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b b (*.f64 a (+.f64 b a)))) (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 b b (*.f64 a (+.f64 b a)))))
(-.f64 b a)
(+.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b b (*.f64 a (+.f64 b a)))) (/.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (fma.f64 b b (*.f64 a (+.f64 b a)))))
(+.f64 (neg.f64 a) b)
(+.f64 b (neg.f64 a))
b
a
(/.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 (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 (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 #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 (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (fabs (- b a))) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (fabs (- a b)) (fabs.f64 (-.f64 a b)))
#s(approx (- b a) b)
#s(approx (- b a) (-.f64 b a))
#s(approx a a)
#s(approx (fabs (- a b)) (fabs.f64 (-.f64 a b)))
#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 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (- a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (fabs (- b a))) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (fabs (- a b)) (fabs.f64 (-.f64 a b)))
#s(approx (- b a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (neg.f64 a)))
#s(approx (fabs (- a b)) (fabs.f64 (-.f64 a b)))
#s(approx (- a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (- b a) (-.f64 b a))
#s(approx (- a b) (-.f64 a b))
#s(approx (- b a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))
#s(approx (- a b) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (fabs (- b a))) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (fabs (- a b)) (fabs.f64 (-.f64 a b)))
#s(approx (- b a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))
#s(approx (fabs (- a b)) (fabs.f64 (-.f64 a b)))
#s(approx (- a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (neg.f64 b)))

eval46.0ms (3.5%)

Memory
-32.9MiB live, 13.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 441 to 246 computations (44.2% saved)

prune2.0ms (0.2%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New52254
Fresh000
Picked112
Done000
Total53356
Accuracy
100.0%
Counts
56 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
51.3%
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) (neg.f64 a)))))
51.8%
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) b))))
Compiler

Compiled 36 to 36 computations (0% saved)

series4.0ms (0.3%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Counts
12 → 18
Calls
Call 1
Inputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) b))))
(*.f64 #s(literal 1/2 binary64) (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(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) (neg.f64 a)))))
(*.f64 #s(literal 1/2 binary64) (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))
(neg.f64 a)
a
Outputs
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (* 1/2 (fabs (- b a))) #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 (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (* 1/2 (fabs (- b a))) #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 (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (* 1/2 (fabs (- b a))) #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:

TimeVariablePointExpression
1.0ms
a
@-inf
((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b (/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) (fabs (- b a)) (- b a) (neg a) a)
1.0ms
b
@-inf
((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b (/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) (fabs (- b a)) (- b a) (neg a) a)
1.0ms
a
@inf
((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b (/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) (fabs (- b a)) (- b a) (neg a) a)
1.0ms
b
@inf
((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b (/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) (fabs (- b a)) (- b a) (neg a) a)
1.0ms
a
@0
((/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) 1/2 (fabs (- b a)) (- b a) b (/ (fabs (- a b)) 2) (* 1/2 (fabs (- b a))) (fabs (- b a)) (- b a) (neg a) a)

rewrite90.0ms (6.9%)

Memory
-12.0MiB live, 53.6MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068279
073259
1255254
01719254
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
30 → 44
Calls
Call 1
Inputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) b))))
(*.f64 #s(literal 1/2 binary64) (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(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) (neg.f64 a)))))
(*.f64 #s(literal 1/2 binary64) (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))
(neg.f64 a)
a
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (* 1/2 (fabs (- b a))) #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 (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (* 1/2 (fabs (- b a))) #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 (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (* 1/2 (fabs (- b a))) #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
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (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 #s(approx (- b a) b))
#s(approx (- b a) b)
b
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #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 #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 (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (fabs (- b a))) (*.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 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (fabs (- b a))) (*.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 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (neg.f64 a)))
#s(approx (- b a) (-.f64 b a))
#s(approx (- b a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))
#s(approx (/ (fabs (- a b)) 2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (fabs (- b a))) (*.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 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))

eval2.0ms (0.2%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 199 to 116 computations (41.7% saved)

prune2.0ms (0.2%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New25025
Fresh000
Picked022
Done011
Total25328
Accuracy
100.0%
Counts
28 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
51.3%
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) (neg.f64 a)))))
51.8%
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) b))))
Compiler

Compiled 67 to 65 computations (3% saved)

regimes30.0ms (2.3%)

Memory
-21.3MiB live, 25.8MiB allocated; 3ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) b))))
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) (neg.f64 a)))))
(/.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 2 binary64))
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
Outputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
Calls

5 calls:

21.0ms
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
2.0ms
(fabs.f64 (-.f64 a b))
2.0ms
b
2.0ms
a
2.0ms
(-.f64 a b)
Results
AccuracySegmentsBranch
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%1a
100.0%1b
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes8.0ms (0.6%)

Memory
22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) b))))
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) (neg.f64 a)))))
(/.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 2 binary64))
Outputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) (neg.f64 a)))))
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) b))))
Calls

5 calls:

2.0ms
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
1.0ms
b
1.0ms
(fabs.f64 (-.f64 a b))
1.0ms
a
1.0ms
(-.f64 a b)
Results
AccuracySegmentsBranch
57.3%2(-.f64 a b)
57.3%2(fabs.f64 (-.f64 a b))
57.3%2(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
80.5%2a
86.0%2b
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes8.0ms (0.6%)

Memory
-30.6MiB live, 14.8MiB allocated; 4ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) b))))
Outputs
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) b))))
Calls

5 calls:

4.0ms
(fabs.f64 (-.f64 a b))
1.0ms
(-.f64 a b)
1.0ms
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
1.0ms
b
1.0ms
a
Results
AccuracySegmentsBranch
51.8%1(-.f64 a b)
51.8%1(fabs.f64 (-.f64 a b))
51.8%1(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
51.8%1a
51.8%1b
Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch10.0ms (0.7%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
1.167759428098333e-67
6.2139196552759575e-65
Samples
4.0ms128×0valid
Compiler

Compiled 209 to 227 computations (-8.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-fabs: 1.0ms (58% of total)
ival-div!: 1.0ms (58% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

derivations15.0ms (1.2%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 25 to 24 computations (4% saved)

preprocess36.0ms (2.8%)

Memory
1.1MiB live, 47.1MiB allocated; 3ms collecting garbage
Compiler

Compiled 119 to 116 computations (2.5% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...