Details

Time bar (total: 5.3s)

sample24.0ms

Algorithm
intervals
Results
8.0ms259×body80valid
6.0ms252×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite5.0ms

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×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
4.0ms
(* x (log x))

series174.0ms

Counts
1 → 3
Calls
1 calls:
174.0ms
(* x (log x))

simplify187.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
093115
134699
2104492
3425392
4500292

prune47.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt x)))
13.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
341.0ms
(* x (log (cbrt x)))
353.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
180.0ms
(cbrt x)
178.0ms
(cbrt x)

simplify59.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0342729
11457633
25001547

prune312.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
16×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 → 45
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (* (cbrt x) (cbrt x)))

series900.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt x)
184.0ms
(cbrt x)
251.0ms
(cbrt (cbrt x))
276.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify107.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 4 (103.0ms)

IterNodesCost
0106215
1236195
2753185
33141185
45001180

prune245.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
4.7b
(pow (* (cbrt x) (cbrt x)) 1/3)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
12×pow1
9×add-sqr-sqrt add-cube-cbrt pow-pow *-un-lft-identity pow1/3
7×add-exp-log
4×add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-prod-down pow-exp pow-sqr pow-prod-up
1×pow2 pow-to-exp unpow-prod-down pow-plus unpow1/3 prod-exp sqr-pow
Counts
4 → 61
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
4.0ms
(pow (* (cbrt x) (cbrt x)) 1/3)

series992.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt x)
186.0ms
(cbrt x)
250.0ms
(cbrt (cbrt x))
370.0ms
(pow (* (cbrt x) (cbrt x)) 1/3)

simplify69.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0171239
1541205
21831192
35001187

prune276.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042
142

end0.0ms

sample746.0ms

Algorithm
intervals
Results
416.0ms8040×body80valid
135.0ms7932×body80nan