Details

Time bar (total: 4.7s)

sample18.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms237×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))

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:
9.0ms
(* x (log x))

series179.0ms

Counts
1 → 3
Calls
1 calls:
179.0ms
(* x (log x))

simplify197.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
095121
1348105
2104098
3453598
4500198

prune48.0ms

Pruning

8 alts after pruning (7 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)

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 x)))
25.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series999.0ms

Counts
4 → 12
Calls
4 calls:
320.0ms
(* x (log (cbrt x)))
332.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
170.0ms
(cbrt x)
177.0ms
(cbrt x)

simplify57.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0381753
11662639
25002569

prune333.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×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 → 55
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series793.0ms

Counts
4 → 12
Calls
4 calls:
250.0ms
(cbrt (cbrt x))
182.0ms
(cbrt x)
180.0ms
(cbrt x)
181.0ms
(cbrt x)

simplify50.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
075209
1145195
2361187
31382187
45002187

prune268.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 59
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
3.0ms
(pow x 1/3)

series707.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
184.0ms
(cbrt x)
175.0ms
(cbrt x)
170.0ms
(pow x 1/3)

simplify42.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0101174
1292150
21057142
35001137

prune276.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes61.0ms

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

sample506.0ms

Algorithm
intervals
Results
164.0ms8035×body80valid
105.0ms8234×body80nan