Details

Time bar (total: 9.9s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×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))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (atan2 im re) (log 10.0))

simplify2.1s

Counts
36 → 36
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
054385
186368
2189344
3526344
41123344
52240344
done5000344

prune91.0ms

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))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (atan2 im re) (log 10.0))

simplify1.9s

Counts
36 → 36
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
054385
186368
2189344
3526344
41123344
52240344
done5000344

prune91.0ms

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))

rewrite14.0ms

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))

series98.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ 1 (/ (log 10.0) (atan2 im re)))
45.0ms
(/ (log 10.0) (atan2 im re))

simplify3.0s

Counts
129 → 129
Iterations

Useful iterations: 3 (357.0ms)

IterNodesCost
01531864
13141579
26991398
315861374
434671374
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)))

series375.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ (log 10.0) (atan2 im re))
106.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
108.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
114.0ms
(cbrt (/ (log 10.0) (atan2 im re)))

simplify1.1s

Counts
126 → 126
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0841584
11221531
22511437
36531428
420851428
done50001428

prune344.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes183.0ms

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: 0 (0.0ms)

IterNodesCost
01735
12135
done2135

end0.0ms

sample384.0ms

Algorithm
intervals
Results
247.0ms8000×body80valid