Details

Time bar (total: 5.9s)

sample25.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
6.0ms268×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: 0.3b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b
(* 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))

series177.0ms

Counts
1 → 3
Calls
1 calls:
177.0ms
(* x (log x))

simplify187.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
093115
134699
2104492
3425392
4500292

prune42.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt x)))
0.3b
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite24.0ms

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)))
14.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
342.0ms
(* x (log (cbrt x)))
353.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
175.0ms
(cbrt x)
180.0ms
(cbrt x)

simplify53.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0342729
11457633
25001547

prune296.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize20.0ms

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)))

rewrite5.0ms

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:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
3.0ms
(cbrt (* (cbrt x) (cbrt x)))

series843.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt x)
185.0ms
(cbrt x)
191.0ms
(cbrt x)
284.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify90.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 4 (86.0ms)

IterNodesCost
078180
1168162
2559152
32334152
45003149

prune216.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
82×log-prod
65×distribute-rgt-in distribute-lft-in
46×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
39×unpow-prod-down
34×associate-+r+
27×cbrt-prod times-frac
24×associate-+l+
14×add-exp-log
11×pow1
9×add-cbrt-cube
6×add-log-exp
4×pow-exp
3×pow-unpow pow-pow associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv sqr-pow
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 → 155
Calls
4 calls:
14.0ms
(* x (* 2 (log (cbrt x))))
21.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (pow (/ 1 x) -1/3))))
0.0ms
(cbrt x)
4.0ms
(pow (/ 1 x) -1/3)

series1.5s

Counts
4 → 12
Calls
4 calls:
351.0ms
(* x (* 2 (log (cbrt x))))
827.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (pow (/ 1 x) -1/3))))
183.0ms
(cbrt x)
181.0ms
(pow (/ 1 x) -1/3)

simplify77.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07161283
123911146
250021068

prune405.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes58.0ms

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

sample723.0ms

Algorithm
intervals
Results
351.0ms8039×body80valid
183.0ms8036×body80nan