Details

Time bar (total: 13.4s)

sample46.0ms

Algorithm
intervals
Results
17.0ms317×body80valid

simplify69.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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 expm1-log1p-u add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
14.0ms
(/ (* a1 a2) (* b1 b2))

series39.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.3s

Counts
26 → 26
Iterations

Useful iterations: 2 (118.0ms)

IterNodesCost
055285
1159277
2920207
done5000207

prune79.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 73
Calls
2 calls:
10.0ms
(/ (* b1 b2) a2)
15.0ms
(/ a1 (/ (* b1 b2) a2))

series66.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* b1 b2) a2)
45.0ms
(/ a1 (/ (* b1 b2) a2))

simplify816.0ms

Counts
79 → 79
Iterations

Useful iterations: done (813.0ms)

IterNodesCost
0127852
1330823
21658741
done5000731

prune287.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize29.0ms

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)))

rewrite55.0ms

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 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 associate-/l*
1×frac-2neg prod-exp clear-num cbrt-unprod
Counts
4 → 161
Calls
4 calls:
10.0ms
(/ a1 (/ (* b1 b2) a2))
6.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))
12.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))
20.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))

series406.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ a1 (/ (* b1 b2) a2))
141.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))
100.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))
103.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))

simplify925.0ms

Counts
173 → 173
Iterations

Useful iterations: done (917.0ms)

IterNodesCost
02012532
14282453
216772326
done50002298

prune869.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize33.0ms

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)))

rewrite44.0ms

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 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 associate-/l*
1×frac-2neg prod-exp clear-num cbrt-unprod
Counts
4 → 182
Calls
4 calls:
10.0ms
(/ a1 (/ (* b1 b2) a2))
14.0ms
(cbrt (/ (cbrt a1) (/ (* b1 b2) a2)))
6.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))
6.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))

series1.0s

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ a1 (/ (* b1 b2) a2))
330.0ms
(cbrt (/ (cbrt a1) (/ (* b1 b2) a2)))
538.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))
119.0ms
(cbrt (/ a1 (/ (* b1 b2) a2)))

simplify1.1s

Counts
194 → 194
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03503023
17142924
225222781
done50002749

prune1.2s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes413.0ms

Accuracy

56.7% (4.9b remaining)

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

bsearch1.0ms

simplify3.3s

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

sample1.1s

Algorithm
intervals
Results
502.0ms9993×body80valid