Details

Time bar (total: 5.1s)

sample16.0ms

Algorithm
intervals
Results
5.0ms257×body80valid
3.0ms235×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: 0.3b

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:
5.0ms
(* x (log x))

series178.0ms

Counts
1 → 3
Calls
1 calls:
178.0ms
(* x (log x))

simplify195.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
093115
134699
2104492
3425392
4500292

prune37.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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)

rewrite25.0ms

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

series1.1s

Counts
4 → 12
Calls
4 calls:
338.0ms
(* x (log (cbrt x)))
356.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
179.0ms
(cbrt x)
180.0ms
(cbrt x)

simplify55.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0342729
11457633
25001547

prune292.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize23.0ms

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)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×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 → 42
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series826.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
182.0ms
(cbrt x)
186.0ms
(cbrt x)
274.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify83.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 4 (79.0ms)

IterNodesCost
078180
1168162
2559152
32334152
45003149

prune222.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 2 (log (* 1 (pow x 1/3)))))
0.3b
(+ (* x (* 2 (log (* 1 (pow x 1/3))))) (* x (log (cbrt x))))
0.6b
(cbrt x)
5.1b
(pow x 1/3)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×log-prod
14×distribute-rgt-in distribute-lft-in
12×add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity
10×pow1 add-exp-log
cbrt-prod add-cbrt-cube
add-log-exp
associate-+l+
unpow-prod-down pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 associate-*r* pow-exp sum-log *-commutative flip-+ distribute-lft-out sqr-pow
Counts
4 → 79
Calls
4 calls:
7.0ms
(* x (* 2 (log (* 1 (pow x 1/3)))))
9.0ms
(+ (* x (* 2 (log (* 1 (pow x 1/3))))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
2.0ms
(pow x 1/3)

series1.3s

Counts
4 → 12
Calls
4 calls:
465.0ms
(* x (* 2 (log (* 1 (pow x 1/3)))))
466.0ms
(+ (* x (* 2 (log (* 1 (pow x 1/3))))) (* x (log (cbrt x))))
180.0ms
(cbrt x)
179.0ms
(pow x 1/3)

simplify62.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0397585
11805464
25001412

prune225.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 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

sample426.0ms

Algorithm
intervals
Results
159.0ms8023×body80valid
100.0ms8135×body80nan