Details

Time bar (total: 1.4s)

analyze74.0ms (5.1%)

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 12 to 8 computations (33.3% saved)

sample1.3s (86.5%)

Results
1.2s8256×body256valid
Bogosity

preprocess5.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
4×fma-def
4×hypot-def
2×swap-re-im
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01322
11822
022
122
Stop Event
1×unsound
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
0
Call 2
Inputs
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im 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 im im) (*.f64 re re))))
(log.f64 (hypot.f64 re im))
Symmetry

(sort re im)

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify11.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
4×fma-def
4×hypot-def
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11411
21611
Stop Event
1×saturated
Counts
1 → 2
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))))
(log.f64 (hypot.f64 re im))

eval0.0ms (0%)

Compiler

Compiled 15 to 9 computations (40% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0b
(log.f64 (hypot.f64 re im))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize34.0ms (2.3%)

Compiler

Compiled 11 to 4 computations (63.6% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
0b
Counts
1 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
✓0b
(log.f64 (hypot.f64 re im))
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes40.0ms (2.8%)

Accuracy

Total -29.8b remaining (-∞%)

Threshold costs -29.8b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(log.f64 (hypot.f64 re im))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
Outputs
(log.f64 (hypot.f64 re im))
Calls

7 calls:

25.0ms
re
3.0ms
im
2.0ms
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
2.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
2.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
Results
ErrorSegmentsBranch
0b1re
0b1im
0b1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
0b1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
0b1(+.f64 (*.f64 re re) (*.f64 im im))
0b1(*.f64 re re)
0b1(*.f64 im im)
Compiler

Compiled 61 to 37 computations (39.3% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log.f64 (hypot.f64 re im))
Outputs
(log.f64 (hypot.f64 re im))
Compiler

Compiled 6 to 4 computations (33.3% saved)

soundness12.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
4×fma-def
4×hypot-def
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11411
21611
Stop Event
1×saturated
Compiler

Compiled 15 to 9 computations (40% saved)

end15.0ms (1%)

Remove

(sort re im)

Compiler

Compiled 18 to 12 computations (33.3% saved)

Profiling

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