Details

Time bar (total: 11.2s)

sample35.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01012
1137
2157
done157

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize9.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (log (hypot re im)) (log 10.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
11×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×log-pow
4×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
1×cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
32.0ms
(/ (log (hypot re im)) (log 10.0))

series227.0ms

Counts
1 → 3
Calls
1 calls:
227.0ms
(/ (log (hypot re im)) (log 10.0))

simplify1.2s

Counts
41 → 41
Iterations

Useful iterations: 3 (184.0ms)

IterNodesCost
066496
1117472
2309446
31334442
done5001442

prune146.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.5b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
96×add-sqr-sqrt
59×sqrt-prod
56×*-un-lft-identity
50×add-cube-cbrt
32×associate-*r*
31×pow1
27×log-pow
26×add-exp-log
25×associate-*l*
16×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod associate-/l*
3×div-inv
2×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 151
Calls
2 calls:
72.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
10.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series553.0ms

Counts
2 → 6
Calls
2 calls:
218.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
335.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify3.1s

Counts
157 → 157
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01762772
14872559
228872246
done50002058

prune457.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (log (hypot re im)) (log 10.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
11×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×log-pow
4×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
1×cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
15.0ms
(/ (log (hypot re im)) (log 10.0))

series240.0ms

Counts
1 → 3
Calls
1 calls:
239.0ms
(/ (log (hypot re im)) (log 10.0))

simplify1.3s

Counts
41 → 41
Iterations

Useful iterations: 3 (212.0ms)

IterNodesCost
066496
1117472
2309446
31334442
done5001442

prune246.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ (log 10.0) (log (hypot re im))))
0.6b
(/ (log 10.0) (log (hypot re im)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
69×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
45×pow1
42×log-pow
24×associate-/r*
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 → 144
Calls
2 calls:
13.0ms
(/ 1 (/ (log 10.0) (log (hypot re im))))
10.0ms
(/ (log 10.0) (log (hypot re im)))

series487.0ms

Counts
2 → 6
Calls
2 calls:
258.0ms
(/ 1 (/ (log 10.0) (log (hypot re im))))
228.0ms
(/ (log 10.0) (log (hypot re im)))

simplify1.3s

Counts
150 → 150
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01702370
13991993
218111893
done50001752

prune359.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
01419
11816
22014
done2014

end0.0ms

sample1.0s

Algorithm
intervals
Results
746.0ms8000×body80valid