Details

Time bar (total: 6.0s)

sample23.0ms

Algorithm
intervals
Results
10.0ms258×body80valid
6.0ms256×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
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×expm1-log1p-u pow-prod-down prod-exp log-pow *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
4.0ms
(* x (log x))

series176.0ms

Counts
1 → 3
Calls
1 calls:
176.0ms
(* x (log x))

simplify193.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
095121
1348105
2104098
3453598
4500198

prune45.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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*
4×expm1-log1p-u log1p-expm1-u
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 111
Calls
4 calls:
5.0ms
(* x (log (cbrt x)))
12.0ms
(+ (* 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:
322.0ms
(* x (log (cbrt x)))
342.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
170.0ms
(cbrt x)
169.0ms
(cbrt x)

simplify54.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0381753
11662639
25002569

prune329.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×cbrt-prod add-cube-cbrt log-prod *-un-lft-identity
7×pow1
6×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×log-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 70
Calls
4 calls:
0.0ms
(fma x (* 2 (log (cbrt x))) (* x (log (cbrt x))))
8.0ms
(* x (log (cbrt x)))
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
670.0ms
(fma x (* 2 (log (cbrt x))) (* x (log (cbrt x))))
318.0ms
(* x (log (cbrt x)))
170.0ms
(cbrt x)
170.0ms
(cbrt x)

simplify89.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0165411
1635366
22715343
35001333

prune208.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
66×log-prod
59×distribute-rgt-in distribute-lft-in
31×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
28×associate-+r+
24×associate-+l+
21×unpow-prod-down
15×cbrt-prod
7×pow1 add-exp-log sqr-pow
6×add-cbrt-cube add-log-exp
4×expm1-log1p-u associate-*r* log1p-expm1-u
3×pow-unpow associate-*l*
1×+-commutative pow-to-exp pow-pow fma-def flip3-+ unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 134
Calls
4 calls:
8.0ms
(* x (log (pow x 1/3)))
17.0ms
(+ (* x (* 2 (log (cbrt x)))) (* 1 (* x (log (pow x 1/3)))))
0.0ms
(cbrt x)
1.0ms
(pow x 1/3)

series1.1s

Counts
4 → 12
Calls
4 calls:
325.0ms
(* x (log (pow x 1/3)))
440.0ms
(+ (* x (* 2 (log (cbrt x)))) (* 1 (* x (log (pow x 1/3)))))
169.0ms
(cbrt x)
165.0ms
(pow x 1/3)

simplify93.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
0581978
12515792
25001708

prune422.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes51.0ms

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

sample790.0ms

Algorithm
intervals
Results
438.0ms8047×body80valid
180.0ms8191×body80nan