Details

Time bar (total: 4.7s)

sample16.0ms

Algorithm
intervals
Results
5.0ms257×body80valid
3.0ms248×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: 0.2b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 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))

series177.0ms

Counts
1 → 3
Calls
1 calls:
177.0ms
(* x (log x))

simplify188.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
093115
134699
2104492
3425392
4500292

prune45.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt x)))
0.3b
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.5b
(cbrt x)
0.5b
(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)))
15.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
329.0ms
(* x (log (cbrt x)))
351.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
170.0ms
(cbrt x)
171.0ms
(cbrt x)

simplify50.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0342729
11457633
25001547

prune274.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
5.0b
(pow x 1/3)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×unpow-prod-down pow-unpow pow1/3
1×pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 57
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(pow x 1/3)

series837.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
248.0ms
(cbrt (cbrt x))
245.0ms
(cbrt (cbrt x))
172.0ms
(pow x 1/3)

simplify43.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0128228
1366206
21321196
35001191

prune230.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* 2/3 (log x)) (log (cbrt (sqrt x))))
0.4b
(* 2/3 (log x))
0.5b
(cbrt (sqrt x))
0.5b
(cbrt (sqrt x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
21×log-prod
19×add-sqr-sqrt
18×cbrt-prod
17×add-cube-cbrt *-un-lft-identity
9×associate-+r+ sqrt-prod
7×pow1
6×add-exp-log distribute-rgt-in associate-+l+ distribute-lft-in add-cbrt-cube
5×add-log-exp
4×associate-*r*
3×associate-*l*
2×pow1/3
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 79
Calls
4 calls:
6.0ms
(+ (* 2/3 (log x)) (log (cbrt (sqrt x))))
4.0ms
(* 2/3 (log x))
1.0ms
(cbrt (sqrt x))
1.0ms
(cbrt (sqrt x))

series746.0ms

Counts
4 → 12
Calls
4 calls:
318.0ms
(+ (* 2/3 (log x)) (log (cbrt (sqrt x))))
144.0ms
(* 2/3 (log x))
144.0ms
(cbrt (sqrt x))
139.0ms
(cbrt (sqrt x))

simplify105.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0301523
1892479
23380445
35001445

prune253.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.3b 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

sample433.0ms

Algorithm
intervals
Results
159.0ms8035×body80valid
102.0ms8119×body80nan