Details

Time bar (total: 2.0s)

analyze4.0ms

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

sample15.0ms

Algorithm
intervals
Results
9.0ms256×body128valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
079
179

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.8b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
5×pow1_binary64
4×associate-/r*_binary64 log-pow_binary64
3×add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
1×add-log-exp_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
1 → 31
Calls
1 calls:
3.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))

simplify105.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
05099518

prune33.0ms

Filtered
22 candidates to 34 candidates (-54.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New27734
Fresh000
Picked101
Done000
Total28735

Merged error: 0.0b

Counts
35 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

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))))

rewrite46.0ms

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
25×associate-*r*_binary64 associate-*l*_binary64
21×add-exp-log_binary64
16×add-cbrt-cube_binary64
15×unswap-sqr_binary64
14×pow1_binary64
10×log-pow_binary64
7×associate-/r*_binary64
6×prod-exp_binary64 div-exp_binary64
5×cbrt-undiv_binary64
4×cbrt-unprod_binary64
3×associate-/l*_binary64 div-inv_binary64
2×add-log-exp_binary64 rec-exp_binary64
1×pow-prod-down_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
2 → 130
Calls
2 calls:
8.0ms
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
24.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

series148.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
54.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

simplify94.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
050342570

prune93.0ms

Filtered
68 candidates to 136 candidates (-100.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1333136
Fresh066
Picked101
Done000
Total1349143

Merged error: 0.0b

Counts
143 → 9

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log_binary64
46×times-frac_binary64
43×add-sqr-sqrt_binary64
33×*-un-lft-identity_binary64
31×add-cube-cbrt_binary64
28×add-cbrt-cube_binary64 associate-*l*_binary64
26×associate-*r*_binary64 sqrt-prod_binary64
24×prod-exp_binary64
15×pow1_binary64
12×cbrt-unprod_binary64
8×rec-exp_binary64 div-exp_binary64
6×cbrt-undiv_binary64 log-pow_binary64
5×associate-*r/_binary64 unswap-sqr_binary64
4×pow-prod-down_binary64
3×un-div-inv_binary64
2×add-log-exp_binary64 div-inv_binary64 frac-times_binary64 *-commutative_binary64
1×associate-*l/_binary64
Counts
2 → 108
Calls
2 calls:
12.0ms
(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
19.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

series143.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
54.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

simplify123.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (99.0ms)

IterNodesCost
047581541
147581541

prune74.0ms

Filtered
56 candidates to 114 candidates (-103.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh448
Picked011
Done000
Total1176123

Merged error: 0b

Counts
123 → 6

localize13.0ms

Local error

Found 2 expressions with local error:

0.8b
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
0.9b
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
51×sqrt-prod_binary64
48×add-sqr-sqrt_binary64
46×times-frac_binary64
35×*-un-lft-identity_binary64
33×add-cube-cbrt_binary64
31×associate-*l*_binary64
30×associate-*r*_binary64 unpow-prod-down_binary64
29×add-exp-log_binary64
16×prod-exp_binary64
10×pow1_binary64
9×add-cbrt-cube_binary64
7×unswap-sqr_binary64
6×log-pow_binary64 pow-exp_binary64
4×cbrt-unprod_binary64
2×pow-to-exp_binary64 add-log-exp_binary64 sqr-pow_binary64 rec-exp_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
1×pow-prod-down_binary64 sqrt-div_binary64 associate-*l/_binary64
Counts
2 → 100
Calls
2 calls:
20.0ms
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
16.0ms
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

series243.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
185.0ms
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

simplify64.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
055262594

prune108.0ms

Filtered
63 candidates to 106 candidates (-68.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1051106
Fresh224
Picked101
Done011
Total1084112

Merged error: 0b

Counts
112 → 4

regimes34.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01629
11629

end0.0ms

sample438.0ms

Algorithm
intervals
Results
301.0ms8000×body128valid

Profiling

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