Details

Time bar (total: 4.9s)

analyze93.0ms (1.9%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
1918
022
122
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 7 to 7 computations (0% saved)

sample22.0ms (0.5%)

Algorithm
intervals
Results
9.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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
Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite33.0ms (0.7%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
12×times-frac_binary64_84
10×add-cube-cbrt_binary64_113 add-sqr-sqrt_binary64_100 *-un-lft-identity_binary64_78
pow1_binary64_139
log-pow_binary64_167 associate-/r*_binary64_22
add-exp-log_binary64_116 add-cbrt-cube_binary64_114 associate-/l*_binary64_23
div-exp_binary64_129 add-log-exp_binary64_117 cbrt-undiv_binary64_112 frac-2neg_binary64_89 clear-num_binary64_77 div-inv_binary64_75
Counts
1 → 31
Calls

1 calls:

3.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))
Compiler

Compiled 426 to 243 computations (43% saved)

series115.0ms (2.4%)

Error
0.9b
Counts
1 → 6
Calls

1 calls:

112.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))
Compiler

Compiled 108 to 93 computations (13.9% saved)

simplify113.0ms (2.3%)

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
05096545

prune37.0ms (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New30737
Fresh000
Picked101
Done000
Total31738
Error
0.1b
Counts
38 → 7
Compiler

Compiled 528 to 314 computations (40.5% saved)

localize8.0ms (0.2%)

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))))

rewrite225.0ms (4.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
92×add-sqr-sqrt_binary64_100
85×times-frac_binary64_84
52×*-un-lft-identity_binary64_78
51×sqrt-prod_binary64_94
46×add-cube-cbrt_binary64_113
26×add-exp-log_binary64_116
25×associate-*l*_binary64_19 associate-*r*_binary64_18
16×add-cbrt-cube_binary64_114
15×unswap-sqr_binary64_46
14×pow1_binary64_139
10×log-pow_binary64_167
div-exp_binary64_129
prod-exp_binary64_127
associate-/r*_binary64_22
cbrt-undiv_binary64_112
cbrt-unprod_binary64_111
div-inv_binary64_75 associate-/l*_binary64_23
1-exp_binary64_122 rec-exp_binary64_128 add-log-exp_binary64_117
pow-prod-down_binary64_149 frac-times_binary64_88 associate-*l/_binary64_21 associate-*r/_binary64_20 *-commutative_binary64_9 frac-2neg_binary64_89 clear-num_binary64_77
Counts
2 → 132
Calls

2 calls:

22.0ms
(*.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)))
Compiler

Compiled 3174 to 2417 computations (23.9% saved)

series291.0ms (6%)

Error
0.0b
Counts
2 → 12
Calls

2 calls:

165.0ms
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
117.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
Compiler

Compiled 378 to 345 computations (8.7% saved)

simplify98.0ms (2%)

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
051322661

prune159.0ms (3.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1404144
Fresh156
Picked101
Done000
Total1429151
Error
0.0b
Counts
151 → 9
Compiler

Compiled 2744 to 1961 computations (28.5% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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))

rewrite211.0ms (4.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
47×times-frac_binary64_84
45×add-sqr-sqrt_binary64_100
37×*-un-lft-identity_binary64_78
36×add-cube-cbrt_binary64_113
31×add-exp-log_binary64_116 sqrt-prod_binary64_94
28×associate-*l*_binary64_19
21×pow1_binary64_139
20×associate-*r*_binary64_18
19×add-cbrt-cube_binary64_114
13×prod-exp_binary64_127
10×log-pow_binary64_167
cbrt-unprod_binary64_111
div-exp_binary64_129
associate-/r*_binary64_22 pow-prod-down_binary64_149 associate-*r/_binary64_20 unswap-sqr_binary64_46
1-exp_binary64_122 rec-exp_binary64_128 add-log-exp_binary64_117 cbrt-undiv_binary64_112 div-inv_binary64_75 associate-/l*_binary64_23 sqrt-div_binary64_95
*-commutative_binary64_9
inv-pow_binary64_163 pow-flip_binary64_152 frac-2neg_binary64_89 clear-num_binary64_77 frac-times_binary64_88 associate-*l/_binary64_21
Counts
3 → 124
Calls

3 calls:

17.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))))
10.0ms
(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
3.0ms
(/.f64 1 (log.f64 10))
Compiler

Compiled 2900 to 2431 computations (16.2% saved)

series284.0ms (5.8%)

Error
0.0b
Counts
3 → 12
Calls

3 calls:

161.0ms
(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
114.0ms
(*.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))
Compiler

Compiled 378 to 345 computations (8.7% saved)

simplify111.0ms (2.3%)

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
051172247

prune170.0ms (3.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1360136
Fresh088
Picked011
Done000
Total1369145
Error
0.0b
Counts
145 → 9
Compiler

Compiled 2778 to 2281 computations (17.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
0.9b
(/.f64 (log.f64 10) (atan2.f64 im re))

rewrite146.0ms (3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
108×times-frac_binary64_84
60×add-cube-cbrt_binary64_113 add-sqr-sqrt_binary64_100 *-un-lft-identity_binary64_78
19×pow1_binary64_139 associate-/r*_binary64_22
16×log-pow_binary64_167
15×add-exp-log_binary64_116
add-cbrt-cube_binary64_114
div-exp_binary64_129
associate-/l*_binary64_23
div-inv_binary64_75
cbrt-undiv_binary64_112
add-log-exp_binary64_117 frac-2neg_binary64_89 clear-num_binary64_77 1-exp_binary64_122 rec-exp_binary64_128
inv-pow_binary64_163 pow-flip_binary64_152 associate-/r/_binary64_24
Counts
2 → 119
Calls

2 calls:

6.0ms
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
4.0ms
(/.f64 (log.f64 10) (atan2.f64 im re))
Compiler

Compiled 2172 to 1417 computations (34.8% saved)

series246.0ms (5.1%)

Error
0.0b
Counts
2 → 12
Calls

2 calls:

123.0ms
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
117.0ms
(/.f64 (log.f64 10) (atan2.f64 im re))
Compiler

Compiled 252 to 219 computations (13.1% saved)

simplify115.0ms (2.4%)

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
048772381
148772381

prune107.0ms (2.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1283131
Fresh257
Picked101
Done011
Total1319140
Error
0.0b
Counts
140 → 9
Compiler

Compiled 1897 to 1143 computations (39.7% saved)

regimes406.0ms (8.3%)

Accuracy

Total 0.7b remaining (98.8%)

Threshold costs 0.7b (98.8%)

Compiler

Compiled 4670 to 3991 computations (14.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01340
11340

end0.0ms (0%)

sample1.8s (37.8%)

Algorithm
intervals
Results
303.0ms8000×body128valid
Compiler

Compiled 1170 to 999 computations (14.6% saved)

Profiling

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