Details

Time bar (total: 5.0s)

sample16.0ms

Algorithm
intervals
Results
5.0ms257×body80valid
3.0ms278×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142

prune1.0ms

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
add-sqr-sqrt
log-prod
add-cube-cbrt *-un-lft-identity
pow1 associate-*r*
add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
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))

series172.0ms

Counts
1 → 3
Calls
1 calls:
172.0ms
(* x (log x))

simplify185.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
093115
134699
2104492
3425392
4500292

prune42.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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+
pow1
add-exp-log add-cbrt-cube add-log-exp
associate-*r*
pow1/3 associate-*l*
log-pow
+-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))))
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
330.0ms
(* x (log (cbrt x)))
340.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
172.0ms
(cbrt x)
183.0ms
(cbrt x)

simplify53.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0342729
11457633
25001547

prune277.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* 2 (log (cbrt x))))
0.3b
(+ (* x (* 2 (log (cbrt x)))) (* x (log (pow x 1/3))))
0.6b
(cbrt x)
5.1b
(pow x 1/3)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
62×log-prod
55×distribute-rgt-in distribute-lft-in
28×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-prod
24×associate-+l+
14×associate-+r+
10×pow1 add-exp-log
unpow-prod-down add-cbrt-cube
add-log-exp
pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod sqr-pow
+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 associate-*r* pow-exp sum-log *-commutative flip-+ distribute-lft-out
Counts
4 → 121
Calls
4 calls:
13.0ms
(* x (* 2 (log (cbrt x))))
14.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (pow x 1/3))))
0.0ms
(cbrt x)
1.0ms
(pow x 1/3)

series1.1s

Counts
4 → 12
Calls
4 calls:
340.0ms
(* x (* 2 (log (cbrt x))))
446.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (pow x 1/3))))
174.0ms
(cbrt x)
170.0ms
(pow x 1/3)

simplify66.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0514917
11984773
25002600

prune296.0ms

Pruning

5 alts after pruning (3 fresh and 2 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 x)
0.6b
(cbrt (cbrt x))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 47
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))

series901.0ms

Counts
4 → 12
Calls
4 calls:
306.0ms
(cbrt x)
174.0ms
(cbrt x)
185.0ms
(cbrt x)
235.0ms
(cbrt (cbrt x))

simplify47.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
071191
1141177
2357169
31377169
45001169

prune224.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes44.0ms

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

sample418.0ms

Algorithm
intervals
Results
155.0ms8041×body80valid
98.0ms8016×body80nan