Details

Time bar (total: 15.8s)

sample57.0ms

Algorithm
intervals
Results
20.0ms257×body80valid
10.0ms259×body80nan

simplify237.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1138
2168
3238
4418
5608
6698
7818
81028
91368
101558
111728
121788
done1788

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.2b
(* x (log (/ x y)))
13.2b
(log (/ x y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
65×log-prod
45×times-frac
42×add-sqr-sqrt
40×add-cube-cbrt *-un-lft-identity
26×distribute-rgt-in distribute-lft-in associate--l+
8×add-exp-log
7×pow1
5×add-cbrt-cube div-inv add-log-exp
4×associate-*r*
3×associate-*l*
2×rem-log-exp log-pow
1×sub-neg log-div flip3-- diff-log div-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 107
Calls
3 calls:
15.0ms
(- (* x (log (/ x y))) z)
23.0ms
(* x (log (/ x y)))
5.0ms
(log (/ x y))

series237.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(- (* x (log (/ x y))) z)
67.0ms
(* x (log (/ x y)))
57.0ms
(log (/ x y))

simplify1.2s

Counts
116 → 116
Iterations

Useful iterations: 3 (572.0ms)

IterNodesCost
01921277
13411212
26541146
318461116
done50021116

prune367.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
2.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt x)
301.0ms
(cbrt x)
270.0ms
(cbrt y)
278.0ms
(cbrt y)

simplify1.9s

Counts
56 → 56
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
042260
171244
2144220
3298208
4773208
52577208
done5001208

prune369.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series1.4s

Counts
4 → 12
Calls
4 calls:
287.0ms
(cbrt y)
367.0ms
(cbrt (cbrt x))
389.0ms
(cbrt (cbrt x))
406.0ms
(cbrt (cbrt x))

simplify3.4s

Counts
65 → 65
Iterations

Useful iterations: done (3.4s)

IterNodesCost
053389
188370
2160346
3315334
4900334
53581334
done5000331

prune352.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
2.9b
(log (/ (cbrt x) y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
22×log-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac
7×add-exp-log
5×pow1
4×add-cbrt-cube add-log-exp
3×pow1/3
2×rem-log-exp
1×log-div div-exp log-pow div-inv
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(log (/ (cbrt x) y))

series913.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(cbrt x)
250.0ms
(cbrt x)
254.0ms
(cbrt x)
180.0ms
(log (/ (cbrt x) y))

simplify1.9s

Counts
78 → 78
Iterations

Useful iterations: 4 (796.0ms)

IterNodesCost
0109604
1198559
2396521
3890502
42626500
done5000500

prune372.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes236.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01321
11721
done1721

end0.0ms

sample1.4s

Algorithm
intervals
Results
397.0ms8025×body80valid
359.0ms8040×body80nan