math.log/1 on complex, real part

Time bar (total: 2.4s)

analyze61.0ms (2.5%)

Memory
-13.5MiB live, 20.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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
0%0%99.9%0.1%0%0%0%4
18.8%18.7%81.2%0.1%0%0%0%5
34.4%34.3%65.6%0.1%0%0%0%6
54.7%54.6%45.3%0.1%0%0%0%7
64.8%64.8%35.1%0.1%0%0%0%8
76.2%76.1%23.8%0.1%0%0%0%9
81.8%81.8%18.1%0.1%0%0%0%10
87.8%87.7%12.2%0.1%0%0%0%11
90.8%90.7%9.2%0.1%0%0%0%12
Compiler

Compiled 23 to 17 computations (26.1% saved)

sample2.3s (94.5%)

Memory
29.7MiB live, 639.2MiB allocated
Samples
525.0ms8 256×73valid-baseline
451.0ms8 256×73valid-rival
398.0ms8 256×73valid-sollya
Precisions
Click to see Rival histograms. Total time spent on operations: 295.0ms
ival-mult: 106.0ms (35.9% of total)
ival-log: 83.0ms (28.1% of total)
ival-sqrt: 64.0ms (21.7% of total)
ival-add: 33.0ms (11.2% of total)
ival-true: 7.0ms (2.4% of total)
ival-assert: 3.0ms (1% of total)
Precisions
Click to see Base histograms. Total time spent on operations: 291.0ms
ival-mult: 108.0ms (37.1% of total)
ival-log: 80.0ms (27.5% of total)
ival-sqrt: 54.0ms (18.5% of total)
ival-add: 42.0ms (14.4% of total)
const: 7.0ms (2.4% of total)
Bogosity

preprocess46.0ms (1.9%)

Memory
-10.7MiB live, 19.7MiB allocated
Algorithm
1×egg-herbie
Rules
52×fmm-def
45×fma-define
15×distribute-lft-neg-in
15×neg-sub0
12×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028127
155127
2102127
3189127
4286127
5325127
6335127
Stop Event
1×saturated
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))))
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))))
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
Outputs
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log.f64 (hypot.f64 re im))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log.f64 (hypot.f64 re im))
(log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))))
(log.f64 (hypot.f64 re im))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))))
(log.f64 (hypot.f64 re im))
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))))
(neg.f64 (log.f64 (hypot.f64 re im)))
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))))
(neg.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
(log.f64 (hypot.f64 re im))
Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify2.0ms (0.1%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×egg-herbie
Rules
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
11439
Stop Event
1×saturated
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
Outputs
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))

soundness0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Stop Event
1×fuel
Compiler

Compiled 11 to 7 computations (36.4% saved)

preprocess24.0ms (1%)

Memory
-4.8MiB live, 28.5MiB allocated
Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 176 to 112 computations (36.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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