Details

Time bar (total: 4.0s)

analyze4.0ms (0.1%)

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)

sample858.0ms (21.6%)

Results
831.0ms8256×body128valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify6.0ms (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
0.9b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.9b
(/.f64 (atan2.f64 im re) (log.f64 10))
Compiler

Compiled 24 to 18 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.9b
(/.f64 (atan2.f64 im re) (log.f64 10))

series55.0ms (1.4%)

Counts
1 → 0
Calls

1 calls:

55.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite4.0ms (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:

2.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))

simplify117.0ms (3%)

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

prune32.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New24832
Fresh000
Picked101
Done000
Total25833
Error
0.0b
Counts
33 → 8
Alt Table
StatusErrorProgram
0.9b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
5.6b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 (atan2.f64 im re) (log.f64 10))))
10.7b
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
31.2b
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
1.9b
(/.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re))) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
0.9b
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
30.7b
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.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))))
Compiler

Compiled 695 to 421 computations (39.4% 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))))

series104.0ms (2.6%)

Counts
2 → 48
Calls

2 calls:

54.0ms
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
49.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

rewrite32.0ms (0.8%)

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:

15.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
4.0ms
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))

simplify239.0ms (6%)

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

prune119.0ms (3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1526158
Fresh347
Picked101
Done000
Total15610166
Error
0.0b
Counts
166 → 10
Alt Table
StatusErrorProgram
1.1b
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.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)))))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (sqrt.f64 (log.f64 10)))))
5.6b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 (atan2.f64 im re) (log.f64 10))))
24.5b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (expm1.f64 (log1p.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)))))
31.2b
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
2.2b
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re))) (sqrt.f64 (sqrt.f64 (log.f64 10))))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (sqrt.f64 (log.f64 10)))))
0.9b
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
30.7b
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
1.0b
(*.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 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
1.9b
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re))) 1)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
Compiler

Compiled 3922 to 2954 computations (24.7% saved)

localize11.0ms (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))

series105.0ms (2.7%)

Counts
3 → 24
Calls

3 calls:

56.0ms
(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
49.0ms
(*.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))

rewrite30.0ms (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:

12.0ms
(*.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))

simplify189.0ms (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

prune124.0ms (3.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1612163
Fresh549
Picked101
Done000
Total1676173
Error
0b
Counts
173 → 6
Alt Table
StatusErrorProgram
1.1b
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.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)))))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (sqrt.f64 (log.f64 10)))))
5.6b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 (atan2.f64 im re) (log.f64 10))))
1.0b
(*.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 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
0.9b
(*.f64 (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 1)) (/.f64 (atan2.f64 im re) (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)))
1.9b
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re))) 1)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
Compiler

Compiled 3821 to 3132 computations (18% saved)

localize13.0ms (0.3%)

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))

series816.0ms (20.6%)

Counts
2 → 48
Calls

2 calls:

685.0ms
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) 3/2))
130.0ms
(*.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)))

rewrite92.0ms (2.3%)

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:

68.0ms
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) 3/2))
15.0ms
(*.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)))

simplify150.0ms (3.8%)

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

prune295.0ms (7.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1552157
Fresh325
Picked011
Done000
Total1585163
Error
0b
Counts
163 → 5
Alt Table
StatusErrorProgram
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))
0.8b
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) 3/2)) (sqrt.f64 (sqrt.f64 (log.f64 10))))
0.9b
(*.f64 (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 1)) (/.f64 (atan2.f64 im re) (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)))
1.9b
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re))) 1)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
Compiler

Compiled 4359 to 3752 computations (13.9% saved)

regimes447.0ms (11.3%)

Accuracy

Total 0.1b remaining (96.8%)

Threshold costs 0.1b (96.8%)

Counts
95 → 1
Compiler

Compiled 7485 to 6162 computations (17.7% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01629
12029
21929

end113.0ms (2.8%)

Compiler

Compiled 143 to 121 computations (15.4% saved)

Profiling

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