Details

Time bar (total: 5.7s)

sample17.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms237×body80nan

simplify3.0ms

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: 0.2b

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×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
8.0ms
(* x (log x))

series172.0ms

Counts
1 → 3
Calls
1 calls:
171.0ms
(* x (log x))

simplify184.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
093115
134699
2104492
3425392
4500292

prune45.0ms

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)

rewrite43.0ms

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:
10.0ms
(* x (log (cbrt x)))
28.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
319.0ms
(* x (log (cbrt x)))
341.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
177.0ms
(cbrt x)
177.0ms
(cbrt x)

simplify57.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0342729
11457633
25001547

prune289.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 2 (log (pow (/ 1 x) -1/3))))
0.3b
(+ (* x (* 2 (log (pow (/ 1 x) -1/3)))) (* x (log (cbrt x))))
0.6b
(cbrt x)
5.0b
(pow (/ 1 x) -1/3)

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
148×log-prod
142×distribute-rgt-in distribute-lft-in
117×unpow-prod-down
82×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
81×times-frac
68×associate-+l+
14×add-exp-log
12×associate-+r+
11×pow1
9×cbrt-prod add-cbrt-cube div-inv sqr-pow
6×add-log-exp
4×pow-exp
3×pow-unpow pow-pow associate-*l* pow-prod-down prod-exp cbrt-unprod
2×div-exp
1×+-commutative pow-to-exp rec-exp pow-flip flip3-+ pow1/3 1-exp associate-*r* sum-log *-commutative flip-+ distribute-lft-out inv-pow
Counts
4 → 221
Calls
4 calls:
40.0ms
(* x (* 2 (log (pow (/ 1 x) -1/3))))
48.0ms
(+ (* x (* 2 (log (pow (/ 1 x) -1/3)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
7.0ms
(pow (/ 1 x) -1/3)

series1.5s

Counts
4 → 12
Calls
4 calls:
347.0ms
(* x (* 2 (log (pow (/ 1 x) -1/3))))
792.0ms
(+ (* x (* 2 (log (pow (/ 1 x) -1/3)))) (* x (log (cbrt x))))
179.0ms
(cbrt x)
171.0ms
(pow (/ 1 x) -1/3)

simplify102.0ms

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
09842101
128851914
250021808

prune572.0ms

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 x)
0.6b
(cbrt x)

rewrite4.0ms

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

series721.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
187.0ms
(cbrt x)
176.0ms
(cbrt x)
178.0ms
(cbrt x)

simplify124.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
040156
181144
2193136
3696136
44103136
55002136

prune209.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199
1199

end0.0ms

sample486.0ms

Algorithm
intervals
Results
158.0ms8035×body80valid
101.0ms8234×body80nan