Details

Time bar (total: 5.0s)

sample20.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
4.0ms245×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))

series182.0ms

Counts
1 → 3
Calls
1 calls:
182.0ms
(* x (log x))

simplify187.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
093115
134699
2104492
3425392
4500292

prune39.0ms

Filtered
28 candidates to 16 candidates (57.1%)
Pruning

7 alts after pruning (6 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))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite26.0ms

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)))
16.0ms
(+ (* 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:
332.0ms
(* x (log (cbrt x)))
352.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
180.0ms
(cbrt x)
181.0ms
(cbrt x)

simplify51.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0342729
11457633
25001547

prune284.0ms

Filtered
114 candidates to 93 candidates (81.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x (* 2 (log (cbrt x)))) (* x (log (exp (log (pow x 1/3))))))
0.6b
(cbrt x)
4.3b
(exp (log (pow x 1/3)))
5.0b
(pow x 1/3)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
65×log-prod
34×distribute-rgt-in distribute-lft-in
24×add-sqr-sqrt add-cube-cbrt associate-+l+ *-un-lft-identity
21×exp-sum
20×associate-+r+
15×cbrt-prod
12×unpow-prod-down
6×add-log-exp
5×pow1 add-exp-log
4×exp-prod add-cbrt-cube sqr-pow
3×pow-unpow
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 pow-exp sum-log log-pow flip-+ rem-exp-log distribute-lft-out
Counts
4 → 104
Calls
4 calls:
16.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (exp (log (pow x 1/3))))))
0.0ms
(cbrt x)
2.0ms
(exp (log (pow x 1/3)))
1.0ms
(pow x 1/3)

series1.0s

Counts
4 → 12
Calls
4 calls:
468.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (exp (log (pow x 1/3))))))
172.0ms
(cbrt x)
207.0ms
(exp (log (pow x 1/3)))
181.0ms
(pow x 1/3)

simplify56.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0460709
11667593
25002403

prune324.0ms

Filtered
116 candidates to 87 candidates (75.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

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:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series837.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
297.0ms
(cbrt x)
182.0ms
(cbrt x)
181.0ms
(cbrt x)

simplify151.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
040156
181144
2193136
3696136
44103136
55002136

prune218.0ms

Filtered
56 candidates to 48 candidates (85.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes59.0ms

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

sample431.0ms

Algorithm
intervals
Results
157.0ms8031×body80valid
103.0ms8060×body80nan