Details

Time bar (total: 15.4s)

sample44.0ms

Algorithm
intervals
Results
13.0ms265×body80nan
10.0ms257×body80valid

simplify276.0ms

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: 13.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.2b
(* x (log (/ x y)))
13.1b
(log (/ x y))

rewrite46.0ms

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:
16.0ms
(- (* x (log (/ x y))) z)
15.0ms
(* x (log (/ x y)))
5.0ms
(log (/ x y))

series223.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(- (* x (log (/ x y))) z)
75.0ms
(* x (log (/ x y)))
55.0ms
(log (/ x y))

simplify1.3s

Counts
116 → 116
Iterations

Useful iterations: 3 (607.0ms)

IterNodesCost
01921277
13411212
26541146
318461116
done50021116

prune384.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

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 y)
2.0ms
(cbrt y)
2.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
283.0ms
(cbrt y)
280.0ms
(cbrt y)
319.0ms
(cbrt x)
329.0ms
(cbrt x)

simplify2.1s

Counts
56 → 56
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
042260
171244
2144220
3298208
4773208
52577208
done5001208

prune583.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.6b
(* (cbrt y) (cbrt y))
4.6b
(log (/ x (cbrt y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
31×cbrt-prod
27×add-cube-cbrt *-un-lft-identity
22×log-prod
18×times-frac
12×pow1
9×add-exp-log
8×pow1/3
6×swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×rem-log-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 log-div pow-plus div-exp prod-exp log-pow *-commutative cbrt-unprod div-inv
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
13.0ms
(* (cbrt y) (cbrt y))
4.0ms
(log (/ x (cbrt y)))

series939.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(cbrt y)
230.0ms
(cbrt y)
292.0ms
(* (cbrt y) (cbrt y))
171.0ms
(log (/ x (cbrt y)))

simplify1.9s

Counts
107 → 107
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0155873
1304739
2695704
31982674
done5000668

prune542.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
5.0b
(log (/ (cbrt x) y))

rewrite17.0ms

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:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
8.0ms
(log (/ (cbrt x) y))

series1.0s

Counts
4 → 12
Calls
4 calls:
267.0ms
(cbrt x)
297.0ms
(cbrt x)
246.0ms
(cbrt x)
236.0ms
(log (/ (cbrt x) y))

simplify2.4s

Counts
78 → 78
Iterations

Useful iterations: 4 (980.0ms)

IterNodesCost
0109604
1198559
2396521
3890502
42626500
done5000500

prune339.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes225.0ms

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

sample1.7s

Algorithm
intervals
Results
437.0ms8032×body80valid
420.0ms7963×body80nan