Details

Time bar (total: 17.7s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
066
done66

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize6.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (atan2 im re) (log 10.0))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1
4×associate-/r* log-pow
3×add-exp-log add-cbrt-cube associate-/l*
1×cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
2.0ms
(/ (atan2 im re) (log 10.0))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (atan2 im re) (log 10.0))

simplify2.8s

Counts
36 → 36
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
054385
189368
2232344
3618344
41341344
52526344
done5001344

prune84.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (atan2 im re) (log 10.0))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1
4×associate-/r* log-pow
3×add-exp-log add-cbrt-cube associate-/l*
1×cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
2.0ms
(/ (atan2 im re) (log 10.0))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (atan2 im re) (log 10.0))

simplify3.1s

Counts
36 → 36
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
054385
189368
2232344
3618344
41341344
52526344
done5001344

prune87.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (log 10.0) (atan2 im re)))
0.9b
(/ (log 10.0) (atan2 im re))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×pow1 associate-/r*
16×log-pow
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 123
Calls
2 calls:
6.0ms
(/ 1 (/ (log 10.0) (atan2 im re)))
3.0ms
(/ (log 10.0) (atan2 im re))

series99.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ 1 (/ (log 10.0) (atan2 im re)))
42.0ms
(/ (log 10.0) (atan2 im re))

simplify8.5s

Counts
129 → 129
Iterations

Useful iterations: 3 (912.0ms)

IterNodesCost
01531864
13231637
210441398
321411374
441631374
done50001374

prune175.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (log 10.0) (atan2 im re))
3.7b
(cbrt (/ (log 10.0) (atan2 im re)))
3.7b
(cbrt (/ (log 10.0) (atan2 im re)))
3.7b
(cbrt (/ (log 10.0) (atan2 im re)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-prod times-frac
37×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×pow1
13×log-pow
6×add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u div-inv associate-/l* add-log-exp
3×cbrt-div pow1/3 associate-/r*
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 114
Calls
4 calls:
3.0ms
(/ (log 10.0) (atan2 im re))
2.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
2.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
2.0ms
(cbrt (/ (log 10.0) (atan2 im re)))

series366.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ (log 10.0) (atan2 im re))
111.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
107.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
107.0ms
(cbrt (/ (log 10.0) (atan2 im re)))

simplify1.5s

Counts
126 → 126
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0841584
11251531
23041437
37731428
423481428
done50001428

prune334.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes182.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01837
12335
22535
done2535

end0.0ms

sample356.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid