Details

Time bar (total: 13.0s)

sample35.0ms

Algorithm
intervals
Results
13.0ms317×body80valid

simplify84.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize13.0ms

Local error

Found 1 expressions with local error:

10.6b
(/ (* a1 a2) (* b1 b2))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
26.0ms
(/ (* a1 a2) (* b1 b2))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.1s

Counts
24 → 24
Iterations

Useful iterations: 2 (133.0ms)

IterNodesCost
053269
1155261
2900191
done5000191

prune72.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

4.5b
(/ (* b1 b2) a2)
5.1b
(/ a1 (/ (* b1 b2) a2))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
2 → 69
Calls
2 calls:
20.0ms
(/ (* b1 b2) a2)
19.0ms
(/ a1 (/ (* b1 b2) a2))

series104.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (* b1 b2) a2)
60.0ms
(/ a1 (/ (* b1 b2) a2))

simplify756.0ms

Counts
75 → 75
Iterations

Useful iterations: done (752.0ms)

IterNodesCost
0123824
1327795
21670721
done5001709

prune289.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

5.1b
(/ a1 (/ (* b1 b2) a2))
17.5b
(cbrt (/ a1 (/ (* b1 b2) a2)))
17.5b
(cbrt (/ a1 (/ (* b1 b2) a2)))
17.5b
(cbrt (/ a1 (/ (* b1 b2) a2)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
123×times-frac
78×cbrt-prod
62×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×div-inv
13×add-exp-log add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp
4×pow1 associate-/r/ add-log-exp
3×cbrt-div pow1/3 associate-/l*
1×frac-2neg prod-exp clear-num cbrt-unprod
Counts
4 → 153
Calls
4 calls:
20.0ms
(/ a1 (/ (* b1 b2) a2))
12.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))
12.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))
13.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))

series521.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ a1 (/ (* b1 b2) a2))
144.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))
148.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))
172.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))

simplify734.0ms

Counts
165 → 165
Iterations

Useful iterations: done (729.0ms)

IterNodesCost
01972462
14282383
216822256
done50022228

prune752.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

5.1b
(/ a1 (/ (* b1 b2) a2))
15.7b
(cbrt (/ (cbrt a1) (/ (* b1 b2) a2)))
17.5b
(cbrt (/ a1 (/ (* b1 b2) a2)))
17.5b
(cbrt (/ a1 (/ (* b1 b2) a2)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
120×cbrt-prod
75×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
20×div-inv
13×add-exp-log add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp
4×pow1 associate-/r/ add-log-exp
3×cbrt-div pow1/3 associate-/l*
1×frac-2neg prod-exp clear-num cbrt-unprod
Counts
4 → 174
Calls
4 calls:
16.0ms
(/ a1 (/ (* b1 b2) a2))
7.0ms
(cbrt (/ (cbrt a1) (/ (* b1 b2) a2)))
8.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))
11.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))

series616.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ a1 (/ (* b1 b2) a2))
318.0ms
(cbrt (/ (cbrt a1) (/ (* b1 b2) a2)))
121.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))
115.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))

simplify1.5s

Counts
186 → 186
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03442951
17102852
225272710
done50002678

prune1.3s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes530.0ms

Accuracy

56.7% (4.9b remaining)

Error of 5.1b against oracle of 0.2b and baseline of 11.5b

bsearch1.0ms

simplify3.4s

Iterations

Useful iterations: 4 (8.0ms)

IterNodesCost
02580
12967
23261
33848
44147
54747
66047
77647
89747
914547
1019847
1138647
1257447
13130247
14203047
15491847
done500147

end0.0ms

sample902.0ms

Algorithm
intervals
Results
394.0ms9993×body80valid