Details

Time bar (total: 5.0s)

analyze5.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
74.9%25%0.1%3
87.4%12.5%0.1%4
93.7%6.2%0.1%5
96.8%3.1%0.1%6
98.3%1.6%0.1%7
99.1%0.8%0.1%8
99.5%0.4%0.1%9
99.7%0.2%0.1%10
99.8%0.1%0.1%11
99.9%0%0.1%12
99.9%0%0.1%13
99.9%0%0.1%14
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample76.0ms (1.5%)

Algorithm
intervals
Symmetry

(sort re im)

Results
18.0ms256×body128valid
Compiler

Compiled 31 to 23 computations (25.8% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
hypot-def_binary64
fma-def_binary64
+-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11411
21611
31611

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.6b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.6b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
Compiler

Compiled 39 to 29 computations (25.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.6b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))

series34.0ms (0.7%)

Counts
1 → 24
Calls

1 calls:

34.0ms
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))

rewrite5.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
16×times-frac_binary64
11×*-un-lft-identity_binary64
11×add-sqr-sqrt_binary64
11×add-cube-cbrt_binary64
11×pow1_binary64
Counts
1 → 38
Calls

1 calls:

3.0ms
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))

simplify89.0ms (1.8%)

Algorithm
egg-herbie
Rules
556×associate-/l/_binary64
403×associate-/r/_binary64
315×times-frac_binary64
236×associate-/l*_binary64
233×sub-neg_binary64
Counts
62 → 71
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01341669
13311611
28521567
328131547
448951547
550331547

prune75.0ms (1.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New591271
Fresh000
Picked011
Done000
Total591372
Error
0.1b
Counts
72 → 13
Alt Table
StatusErrorProgram
0.6b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
1.3b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
15.6b
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 10) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
1.3b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 10))))
15.6b
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
0.7b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
15.9b
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
15.6b
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))
0.8b
(cbrt.f64 (/.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (hypot.f64 re im))) (log.f64 (hypot.f64 re im))) (*.f64 (*.f64 (log.f64 10) (log.f64 10)) (log.f64 10))))
16.0b
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
1.4b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (*.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (log.f64 10)))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 10))))
0.6b
(/.f64 1 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))))
0.6b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
Compiler

Compiled 1973 to 1316 computations (33.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
0.5b
(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))

series77.0ms (1.5%)

Counts
2 → 48
Calls

2 calls:

42.0ms
(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))
35.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))

rewrite116.0ms (2.3%)

Algorithm
rewrite-expression-head
Rules
99×times-frac_binary64
96×add-sqr-sqrt_binary64
59×sqrt-prod_binary64
56×*-un-lft-identity_binary64
50×add-cube-cbrt_binary64
Counts
2 → 151
Calls

2 calls:

97.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
4.0ms
(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))

simplify217.0ms (4.3%)

Algorithm
egg-herbie
Rules
605×fma-def_binary64
563×associate-/r*_binary64
405×fma-neg_binary64
308×associate-/l/_binary64
218×cancel-sign-sub-inv_binary64
Counts
199 → 236
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02655977
17315300
221855063
345895035
449925035
549865035
649605035

prune284.0ms (5.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New2297236
Fresh7411
Picked101
Done011
Total23712249
Error
0.0b
Counts
249 → 12
Alt Table
StatusErrorProgram
1.3b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 10))))
0.7b
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))
15.9b
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
15.7b
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))) (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))
0.6b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 1 (sqrt.f64 (log.f64 10)))) (/.f64 1 (sqrt.f64 (log.f64 10)))) (/.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (hypot.f64 re im))) (log.f64 (hypot.f64 re im))) (*.f64 (*.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10))))))
1.3b
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 10))) (cbrt.f64 (sqrt.f64 (log.f64 10))))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (log.f64 10)))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))
0.8b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) 3)))
0.3b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10))))))
1.4b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (*.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (log.f64 10)))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 10))))
0.6b
(/.f64 1 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))))
0.6b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
1.2b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))) (sqrt.f64 (log.f64 10))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))
Compiler

Compiled 6793 to 5117 computations (24.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10)))))
0.3b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10))))))
1.0b
(/.f64 1 (log.f64 10))
3.8b
(pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10))))

series314.0ms (6.3%)

Counts
4 → 72
Calls

4 calls:

144.0ms
(log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10)))))
99.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10))))))
71.0ms
(pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10))))
0.0ms
(/.f64 1 (log.f64 10))

rewrite27.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt_binary64
49×times-frac_binary64
46×*-un-lft-identity_binary64
44×add-cube-cbrt_binary64
30×sqrt-prod_binary64
Counts
4 → 159
Calls

4 calls:

10.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10))))))
3.0ms
(pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10))))
2.0ms
(/.f64 1 (log.f64 10))
2.0ms
(log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10)))))

simplify254.0ms (5.1%)

Algorithm
egg-herbie
Rules
376×associate-*r*_binary64
343×fma-def_binary64
323×associate-*l*_binary64
316×fma-neg_binary64
249×associate-/l*_binary64
Counts
231 → 330
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
04618758
113888271
247918090
347007998
449227994
550337994

prune395.0ms (7.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3255330
Fresh7310
Picked011
Done101
Total3339342
Error
0b
Counts
342 → 9
Alt Table
StatusErrorProgram
1.3b
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 10))) (cbrt.f64 (sqrt.f64 (log.f64 10))))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (log.f64 10)))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))
0.2b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10)))))
1.3b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 10))))
0.4b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (+.f64 (log.f64 (pow.f64 (*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (hypot.f64 re im))) (sqrt.f64 (/.f64 1 (log.f64 10))))) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) (sqrt.f64 (/.f64 1 (log.f64 10)))))))
15.7b
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10))))))) (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10))))))))
0.4b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (hypot.f64 re im))))
0.3b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10))))))
1.4b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (*.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (log.f64 10)))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 10))))
0.3b
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10))) (log.f64 (hypot.f64 re im)))
Compiler

Compiled 12139 to 10172 computations (16.2% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.0b
(/.f64 1 (log.f64 10))
4.3b
(pow.f64 (hypot.f64 re im) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10))))

series60.0ms (1.2%)

Counts
1 → 24
Calls

1 calls:

60.0ms
(pow.f64 (hypot.f64 re im) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10))))

rewrite37.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
217×times-frac_binary64
188×sqrt-prod_binary64
137×pow-unpow_binary64
104×*-un-lft-identity_binary64
104×add-sqr-sqrt_binary64
Counts
1 → 154
Calls

1 calls:

12.0ms
(pow.f64 (hypot.f64 re im) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10))))

simplify326.0ms (6.5%)

Algorithm
egg-herbie
Rules
476×cancel-sign-sub-inv_binary64
312×times-frac_binary64
268×associate-/l*_binary64
263×associate-/r*_binary64
220×pow-sqr_binary64
Counts
178 → 169
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03095554
110295525
240345409
347145409
448255409
548295409

prune250.0ms (5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2050205
Fresh077
Picked011
Done011
Total2059214
Error
0b
Counts
214 → 9
Alt Table
StatusErrorProgram
1.3b
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 10))) (cbrt.f64 (sqrt.f64 (log.f64 10))))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (log.f64 10)))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))
0.2b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10)))))
1.3b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 10))))
0.4b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (+.f64 (log.f64 (pow.f64 (*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (hypot.f64 re im))) (sqrt.f64 (/.f64 1 (log.f64 10))))) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) (sqrt.f64 (/.f64 1 (log.f64 10)))))))
15.7b
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10))))))) (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10))))))))
0.4b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (hypot.f64 re im))))
0.3b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10))))))
1.4b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (*.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (log.f64 10)))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 10))))
0.3b
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10))) (log.f64 (hypot.f64 re im)))
Compiler

Compiled 7231 to 6211 computations (14.1% saved)

regimes1.3s (25.2%)

Accuracy

Total 0.1b remaining (88.8%)

Threshold costs 0.1b (88.8%)

Counts
136 → 1
Compiler

Compiled 25602 to 21324 computations (16.7% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01323
11523
21423

end7.0ms (0.1%)

Remove

(sort re im)

Compiler

Compiled 48 to 42 computations (12.5% saved)

sample1.1s (21%)

Algorithm
intervals
Results
636.0ms8000×body128valid
Compiler

Compiled 263 to 208 computations (20.9% saved)

Profiling

Loading profile data...