Details

Time bar (total: 24.0s)

sample35.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
010343
113238
214238
done14238

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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

series258.0ms

Counts
1 → 3
Calls
1 calls:
258.0ms
(/ (log (hypot re im)) (log 10.0))

simplify5.0s

Counts
41 → 41
Iterations

Useful iterations: 3 (320.0ms)

IterNodesCost
06615243
111714725
228014645
367814565
4189314565
5486314565
done500214565

prune279.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.5b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite56.0ms

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 clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 151
Calls
2 calls:
39.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
7.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series506.0ms

Counts
2 → 6
Calls
2 calls:
190.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
316.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify3.7s

Counts
157 → 157
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
017675523
146670351
2132766424
3295363424
done500063424

prune766.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (/ 1 (sqrt (log 10.0))))
0.3b
(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
46×times-frac
45×add-sqr-sqrt
40×prod-exp
35×*-un-lft-identity
33×add-cube-cbrt
29×associate-*r*
28×add-cbrt-cube
26×associate-*l* sqrt-prod
20×div-exp
16×pow1
12×cbrt-unprod
10×rec-exp 1-exp
7×log-pow
6×cbrt-undiv log-prod
5×unswap-sqr
4×pow-prod-down associate-*l/
3×distribute-rgt-in distribute-lft-in
2×expm1-log1p-u *-commutative log1p-expm1-u div-inv add-log-exp
1×frac-times associate-*r/ un-div-inv
Counts
2 → 126
Calls
2 calls:
86.0ms
(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (/ 1 (sqrt (log 10.0))))
31.0ms
(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))

series475.0ms

Counts
2 → 6
Calls
2 calls:
221.0ms
(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (/ 1 (sqrt (log 10.0))))
254.0ms
(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))

simplify6.1s

Counts
132 → 132
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
019161500
151751335
2130347478
3279444158
done500044158

prune654.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (hypot re im)) (cbrt (hypot re im)))
0.6b
(cbrt (hypot re im))
0.6b
(cbrt (hypot re im))
0.6b
(cbrt (hypot re im))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
17.0ms
(* (cbrt (hypot re im)) (cbrt (hypot re im)))
1.0ms
(cbrt (hypot re im))
1.0ms
(cbrt (hypot re im))
1.0ms
(cbrt (hypot re im))

series758.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(* (cbrt (hypot re im)) (cbrt (hypot re im)))
165.0ms
(cbrt (hypot re im))
186.0ms
(cbrt (hypot re im))
186.0ms
(cbrt (hypot re im))

simplify3.0s

Counts
93 → 93
Iterations

Useful iterations: 3 (416.0ms)

IterNodesCost
07825581
116622654
239722498
3106721818
4380421818
done501021818

prune629.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes212.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
016629
122629
done22629

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s8000×body80valid