Details

Time bar (total: 16.4s)

sample61.0ms

Algorithm
intervals
Results
17.0ms257×body80valid
12.0ms247×body80nan

simplify388.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.7b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.2b
(* x (log (/ x y)))
15.1b
(log (/ x y))

rewrite61.0ms

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)
25.0ms
(* x (log (/ x y)))
7.0ms
(log (/ x y))

series209.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(- (* x (log (/ x y))) z)
75.0ms
(* x (log (/ x y)))
50.0ms
(log (/ x y))

simplify1.4s

Counts
116 → 116
Iterations

Useful iterations: 3 (611.0ms)

IterNodesCost
01921277
13411212
26541146
318461116
done50021116

prune481.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

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:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
255.0ms
(cbrt x)
350.0ms
(cbrt x)
299.0ms
(cbrt y)
311.0ms
(cbrt y)

simplify2.0s

Counts
56 → 56
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
042260
171244
2144220
3298208
4773208
52577208
done5001208

prune373.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
3.4b
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 log-prod rem-log-exp
4×div-exp prod-exp add-cbrt-cube add-log-exp
3×pow1/3
1×log-div times-frac log-pow div-inv
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)
25.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt y)
278.0ms
(cbrt y)
345.0ms
(cbrt y)
168.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify2.0s

Counts
64 → 64
Iterations

Useful iterations: done (2.0s)

IterNodesCost
071495
1132471
2280370
3728340
42589337
done5001330

prune431.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.7b
(log (/ x (cbrt y)))

rewrite11.0ms

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 y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
4.0ms
(log (/ x (cbrt y)))

series1.5s

Counts
4 → 12
Calls
4 calls:
639.0ms
(cbrt y)
358.0ms
(cbrt y)
321.0ms
(cbrt y)
211.0ms
(log (/ x (cbrt y)))

simplify2.3s

Counts
78 → 78
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
0118609
1231568
2460527
31038503
42771499
done5000499

prune425.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes342.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01219
11519
done1519

end0.0ms

sample2.0s

Algorithm
intervals
Results
509.0ms8030×body80valid
430.0ms8223×body80nan