Details

Time bar (total: 3.8s)

analyze11.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%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 9 to 7 computations (22.2% saved)

sample917.0ms (24%)

Results
891.0ms8256×body128valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
179

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.8b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.8b
(/.f64 (atan2.f64 im re) (log.f64 10))
Compiler

Compiled 24 to 18 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.8b
(/.f64 (atan2.f64 im re) (log.f64 10))

series52.0ms (1.4%)

Counts
1 → 0
Calls

1 calls:

52.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite6.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
12×times-frac_binary64
10×*-un-lft-identity_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
pow1_binary64
Counts
1 → 33
Calls

1 calls:

4.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))

simplify111.0ms (2.9%)

Algorithm
egg-herbie
Rules
1288×associate-/l/_binary64
1067×fma-neg_binary64
979×fma-def_binary64
677×unswap-sqr_binary64
350×times-frac_binary64
Counts
33 → 32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055551
192513
2177513
3294513
4454513
5676513
61686513
72393513
82851513
93810513
104033513
114008513
124982513

prune31.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New24832
Fresh000
Picked011
Done000
Total24933
Error
0.0b
Counts
33 → 9
Alt Table
StatusErrorProgram
0.8b
(/.f64 (atan2.f64 im re) (log.f64 10))
1.5b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
2.2b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re))) (*.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (log.f64 10)))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
2.0b
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
31.2b
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
8.4b
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
0.8b
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
0.8b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
31.6b
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
Compiler

Compiled 715 to 435 computations (39.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
0.8b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

series132.0ms (3.4%)

Counts
2 → 48
Calls

2 calls:

75.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
56.0ms
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))

rewrite33.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt_binary64
85×times-frac_binary64
52×*-un-lft-identity_binary64
51×sqrt-prod_binary64
46×add-cube-cbrt_binary64
Counts
2 → 136
Calls

2 calls:

18.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
3.0ms
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))

simplify266.0ms (7%)

Algorithm
egg-herbie
Rules
765×fma-neg_binary64
413×div-sub_binary64
411×associate-/l*_binary64
410×*-commutative_binary64
326×sqr-pow_binary64
Counts
184 → 158
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01323954
12933396
28873396
319453064
421273016
524613016
632733016
741643016
846842992
949702992
1046872992

prune117.0ms (3.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1535158
Fresh437
Picked101
Done011
Total1589167
Error
0.0b
Counts
167 → 9
Alt Table
StatusErrorProgram
0.8b
(/.f64 (atan2.f64 im re) (log.f64 10))
31.6b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))))
1.5b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
31.4b
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))) (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
2.0b
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
8.4b
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
0.8b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))
0.8b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))))
1.4b
(*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 10))) (cbrt.f64 (sqrt.f64 (log.f64 10))))) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (sqrt.f64 (log.f64 10)))))
Compiler

Compiled 3828 to 2882 computations (24.7% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
0.8b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))))
1.0b
(/.f64 1 (log.f64 10))

series106.0ms (2.8%)

Counts
3 → 24
Calls

3 calls:

54.0ms
(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
52.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))))
0.0ms
(/.f64 1 (log.f64 10))

rewrite31.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
47×times-frac_binary64
45×add-sqr-sqrt_binary64
37×*-un-lft-identity_binary64
36×add-cube-cbrt_binary64
31×sqrt-prod_binary64
Counts
3 → 130
Calls

3 calls:

13.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))))
7.0ms
(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
2.0ms
(/.f64 1 (log.f64 10))

simplify184.0ms (4.8%)

Algorithm
egg-herbie
Rules
705×fma-def_binary64
664×fabs-mul_binary64
562×pow-sqr_binary64
512×associate-/l/_binary64
420×fma-neg_binary64
Counts
154 → 163
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01212422
12322177
26722177
313811820
416011820
518191820
622331820
730831814
839921814
944541814
1049221814
1150221814

prune110.0ms (2.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1621163
Fresh437
Picked011
Done011
Total1666172
Error
0b
Counts
172 → 6
Alt Table
StatusErrorProgram
0.8b
(/.f64 (atan2.f64 im re) (log.f64 10))
1.5b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
31.4b
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))) (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
0.1b
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) 3/2)))
0.8b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))))
1.4b
(*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 10))) (cbrt.f64 (sqrt.f64 (log.f64 10))))) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (sqrt.f64 (log.f64 10)))))
Compiler

Compiled 3750 to 3075 computations (18% saved)

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.8b
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) 3/2)))
0.8b
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) 3/2))
1.0b
(/.f64 1 (log.f64 10))

series943.0ms (24.7%)

Counts
2 → 48
Calls

2 calls:

894.0ms
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) 3/2))
49.0ms
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) 3/2)))

rewrite62.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
56×sqrt-prod_binary64
40×add-sqr-sqrt_binary64
35×times-frac_binary64
31×associate-*l*_binary64
29×*-un-lft-identity_binary64
Counts
2 → 93
Calls

2 calls:

45.0ms
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) 3/2)))
9.0ms
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) 3/2))

simplify125.0ms (3.3%)

Algorithm
egg-herbie
Rules
496×associate-/r*_binary64
466×associate-/r/_binary64
392×unswap-sqr_binary64
389×associate-*l/_binary64
285×*-commutative_binary64
Counts
141 → 120
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01263107
12402967
27412955
310292955
418702955
549242955
649672955

prune195.0ms (5.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1552157
Fresh213
Picked011
Done022
Total1576163
Error
0b
Counts
163 → 6
Alt Table
StatusErrorProgram
0.8b
(/.f64 (atan2.f64 im re) (log.f64 10))
1.5b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
0.1b
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (atan2.f64 im re)) (pow.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) 3/2))
0.1b
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) 3/2)))
0.8b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))))
0.8b
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) 3/4)) (sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) 3/2))))
Compiler

Compiled 4375 to 3768 computations (13.9% saved)

regimes213.0ms (5.6%)

Accuracy

Total 0.1b remaining (97.4%)

Threshold costs 0.1b (97.4%)

Counts
51 → 1
Compiler

Compiled 4346 to 3429 computations (21.1% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01629
12029
21929

end126.0ms (3.3%)

Compiler

Compiled 159 to 137 computations (13.8% saved)

Profiling

Loading profile data...