Details

Time bar (total: 4.4s)

sample17.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms267×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))

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))

series166.0ms

Counts
1 → 3
Calls
1 calls:
166.0ms
(* x (log x))

simplify185.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
093115
134699
2104492
3425392
4500292

prune45.0ms

Pruning

10 alts after pruning (9 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)

rewrite41.0ms

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:
9.0ms
(* x (log (cbrt x)))
26.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series947.0ms

Counts
4 → 12
Calls
4 calls:
306.0ms
(* x (log (cbrt x)))
317.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
161.0ms
(cbrt x)
161.0ms
(cbrt x)

simplify51.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0342729
11457633
25001547

prune278.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

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) (cbrt x)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 42
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(cbrt (* (cbrt x) (cbrt x)))

series750.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt x)
164.0ms
(cbrt x)
164.0ms
(cbrt x)
257.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify89.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 4 (80.0ms)

IterNodesCost
078180
1168162
2559152
32334152
45003149

prune211.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
4.4b
(pow (/ 1 x) -2/9)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×cbrt-prod
13×unpow-prod-down
9×add-exp-log times-frac
6×pow1
4×pow-exp add-cbrt-cube add-log-exp
3×pow-unpow pow-pow pow1/3
2×div-exp
1×pow-to-exp rec-exp pow-flip 1-exp div-inv inv-pow sqr-pow
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(pow (/ 1 x) -2/9)

series723.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(cbrt (cbrt x))
165.0ms
(cbrt x)
166.0ms
(cbrt x)
165.0ms
(pow (/ 1 x) -2/9)

simplify76.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0241305
1741277
22634263
35003243

prune234.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes54.0ms

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

sample463.0ms

Algorithm
intervals
Results
150.0ms8035×body80valid
96.0ms7906×body80nan