fabs fraction 2

Time bar (total: 1.3s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample825.0ms (63.8%)

Memory
-38.7MiB live, 985.8MiB allocated; 244ms collecting garbage
Samples
544.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 299.0ms
ival-sub: 151.0ms (50.5% of total)
ival-fabs: 81.0ms (27.1% of total)
ival-div: 56.0ms (18.7% of total)
exact: 6.0ms (2% of total)
ival-assert: 3.0ms (1% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain55.0ms (4.2%)

Memory
17.4MiB live, 111.9MiB allocated; 3ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-a
00-0-#s(literal 2 binary64)
00-0-(fabs.f64 (-.f64 a b))
00-0-(-.f64 a b)
00-0-b
00-0-(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
26.0ms512×0valid
Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (34.4% of total)
ival-sub: 3.0ms (25.8% of total)
ival-fabs: 3.0ms (25.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess235.0ms (18.1%)

Memory
7.2MiB live, 151.0MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01940
14140
26240
312040
424040
541940
6147240
7521240
066
096
1156
2236
3436
4926
51986
67706
752126
080496
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
Outputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(*.f64 (/.f64 (fabs.f64 (-.f64 b a)) (*.f64 (E.f64) #s(literal 2 binary64))) (E.f64))
Symmetry

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
Compiler

Compiled 6 to 6 computations (0% saved)

series4.0ms (0.3%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Counts
6 → 16
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))
#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)
1.0ms
b
@0
((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)

rewrite100.0ms (7.7%)

Memory
-17.7MiB live, 130.7MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052178
055161
1206158
01504158
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
22 → 53
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))
#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 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) b a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64))
(/.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) b a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(neg.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) b a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) b a)) (sqrt.f64 (fma.f64 #s(literal -1 binary64) b a)))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 b a)))))
(/.f64 (fabs.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) b) b) #s(literal -1 binary64) (*.f64 a (*.f64 #s(literal -1 binary64) a)))) (fabs.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a))))
(/.f64 (fabs.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) a) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) a) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) b (*.f64 (*.f64 #s(literal -1 binary64) a) (-.f64 (*.f64 #s(literal -1 binary64) a) b)))))
(/.f64 (fabs.f64 (*.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a)) (fma.f64 #s(literal -1 binary64) b a))) (fabs.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a))))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) b a) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 #s(literal -1 binary64) a b))
(fabs.f64 (fma.f64 #s(literal -1 binary64) b a))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) b) b) #s(literal -1 binary64) (*.f64 a (*.f64 #s(literal -1 binary64) a))) (-.f64 (*.f64 #s(literal -1 binary64) b) a))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) b) b) #s(literal -1 binary64) (*.f64 a (*.f64 #s(literal -1 binary64) a))) (neg.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a))))
(/.f64 (neg.f64 (*.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a)) (fma.f64 #s(literal -1 binary64) b a))) (neg.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 b a)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) b) b) #s(literal -1 binary64) (*.f64 a (*.f64 #s(literal -1 binary64) a)))) (-.f64 b (*.f64 #s(literal -1 binary64) a)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) a) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) a) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) b (*.f64 (*.f64 #s(literal -1 binary64) a) (-.f64 (*.f64 #s(literal -1 binary64) a) b))))
(/.f64 (*.f64 (-.f64 b (*.f64 #s(literal -1 binary64) a)) (fma.f64 #s(literal -1 binary64) b a)) (-.f64 b (*.f64 #s(literal -1 binary64) a)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 b a))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) b (*.f64 (*.f64 #s(literal -1 binary64) a) (-.f64 (*.f64 #s(literal -1 binary64) a) b))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) a) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) a) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) b (*.f64 (*.f64 #s(literal -1 binary64) a) (-.f64 (*.f64 #s(literal -1 binary64) a) b)))))
(neg.f64 (fma.f64 #s(literal -1 binary64) a b))
(fma.f64 #s(literal -1 binary64) b a)
(fma.f64 b #s(literal -1 binary64) a)
(-.f64 (/.f64 (*.f64 a a) (-.f64 b (*.f64 #s(literal -1 binary64) a))) (/.f64 (*.f64 b b) (-.f64 b (*.f64 #s(literal -1 binary64) a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 b a)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 b a)))))
(-.f64 a (*.f64 (*.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))
(-.f64 a b)
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 b a)))) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 b a)))))
(+.f64 (*.f64 #s(literal -1 binary64) b) a)
(+.f64 a (*.f64 #s(literal -1 binary64) b))
a
b
#s(literal 2 binary64)
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(approx (fabs (- a b)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) b a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- a b) (*.f64 #s(literal -1 binary64) b))
#s(approx (- a b) (fma.f64 #s(literal -1 binary64) b a))
#s(approx a a)
#s(approx (- a b) a)
#s(approx (- a b) (*.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) a))
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(approx (fabs (- a b)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) b a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- a b) (*.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) a))
#s(approx (- a b) (fma.f64 #s(literal -1 binary64) b a))
#s(approx b b)
#s(approx (- a b) (*.f64 (fma.f64 (/.f64 a b) #s(literal 1 binary64) #s(literal -1 binary64)) b))
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(approx (fabs (- a b)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) b a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- a b) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) b) #s(literal -1 binary64)))

eval5.0ms (0.4%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 760 to 183 computations (75.9% saved)

prune12.0ms (1%)

Memory
-24.1MiB live, 21.1MiB allocated; 4ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New47047
Fresh000
Picked011
Done000
Total47148
Accuracy
100.0%
Counts
48 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
Compiler

Compiled 12 to 12 computations (0% saved)

simplify42.0ms (3.3%)

Memory
10.8MiB live, 55.9MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
1146
2326
3686
41416
55306
636946
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
Outputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 b a)) #s(literal 0 binary64))))) #s(literal 2 binary64))

derivations0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 14 to 12 computations (14.3% saved)

preprocess12.0ms (1%)

Memory
25.2MiB live, 25.2MiB allocated; 0ms collecting garbage
Remove

(sort a b)

Compiler

Compiled 96 to 84 computations (12.5% saved)

end0.0ms (0%)

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

Profiling

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