Details

Time bar (total: 4.4s)

sample32.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
5.0ms263×body80nan

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1294
2514
3654
4974
51204
61594
72574
83224
93224
done3224

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*r*
3×add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
1×expm1-log1p-u pow-prod-down prod-exp log-pow *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
8.0ms
(* x (log y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* x (log y))

simplify89.0ms

Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
099121
1341105
292098
3307498
4500198
done500198

prune52.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 111
Calls
4 calls:
10.0ms
(* x (log (cbrt y)))
24.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series543.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* x (log (cbrt y)))
98.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
174.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify68.0ms

Counts
123 → 123
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0384753
11636640
25001570
done5001570

prune383.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series709.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt y)
175.0ms
(cbrt y)
179.0ms
(cbrt y)
175.0ms
(cbrt y)

simplify128.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152
done5001152

prune291.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 46
Calls
4 calls:
1.0ms
(cbrt y)
4.0ms
(cbrt (* x (log (cbrt y))))
3.0ms
(cbrt (* x (log (cbrt y))))
4.0ms
(cbrt (* x (log (cbrt y))))

series732.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
186.0ms
(cbrt (* x (log (cbrt y))))
184.0ms
(cbrt (* x (log (cbrt y))))
184.0ms
(cbrt (* x (log (cbrt y))))

simplify60.0ms

Counts
58 → 58
Iterations

Useful iterations: 4 (56.0ms)

IterNodesCost
0110322
1218292
2615275
32115266
45001263
done5001263

prune229.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184
done84

end0.0ms

sample840.0ms

Algorithm
intervals
Results
230.0ms8036×body80valid
182.0ms7910×body80nan