Details

Time bar (total: 5.1s)

sample17.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
4.0ms276×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

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×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))

series170.0ms

Counts
1 → 3
Calls
1 calls:
170.0ms
(* x (log x))

simplify187.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
093115
134699
2104492
3425392
4500292

prune47.0ms

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)

rewrite23.0ms

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)))
13.0ms
(+ (* 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:
328.0ms
(* x (log (cbrt x)))
342.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
172.0ms
(cbrt x)
178.0ms
(cbrt x)

simplify52.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0342729
11457633
25001547

prune294.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
28×log-prod
26×distribute-rgt-in distribute-lft-in
24×associate-+l+
19×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
15×cbrt-prod
8×pow1
7×add-exp-log
6×add-cbrt-cube add-log-exp
4×associate-*r*
3×unpow-prod-down pow-unpow associate-*l*
2×associate-+r+
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr sqr-pow
Counts
4 → 88
Calls
4 calls:
12.0ms
(* x (log (* 1 (pow x 1/3))))
12.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (* 1 (pow x 1/3)))))
0.0ms
(cbrt x)
1.0ms
(pow x 1/3)

series1.1s

Counts
4 → 12
Calls
4 calls:
316.0ms
(* x (log (* 1 (pow x 1/3))))
456.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (* 1 (pow x 1/3)))))
174.0ms
(cbrt x)
172.0ms
(pow x 1/3)

simplify68.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0378634
11864512
25002459

prune301.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(cbrt (cbrt x))
5.0b
(pow x 1/3)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×unpow-prod-down pow-unpow pow1/3
1×pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 54
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(pow x 1/3)

series903.0ms

Counts
4 → 12
Calls
4 calls:
305.0ms
(cbrt x)
177.0ms
(cbrt x)
243.0ms
(cbrt (cbrt x))
177.0ms
(pow x 1/3)

simplify51.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0128195
1366170
21313161
35001156

prune251.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes56.0ms

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

sample471.0ms

Algorithm
intervals
Results
168.0ms8034×body80valid
115.0ms8097×body80nan