Details

Time bar (total: 17.9s)

sample30.0ms

Algorithm
intervals
Results
11.0ms258×body80valid
5.0ms253×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
144
done44

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite21.0ms

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:
19.0ms
(* x (log x))

series305.0ms

Counts
1 → 3
Calls
1 calls:
305.0ms
(* x (log x))

simplify2.6s

Counts
30 → 30
Iterations

Useful iterations: 3 (143.0ms)

IterNodesCost
055213
195204
2183180
3283173
41038173
done5001173

prune89.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative distribute-rgt-out fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 61
Calls
4 calls:
30.0ms
(* (* 2 (log (cbrt x))) x)
43.0ms
(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.7s

Counts
4 → 12
Calls
4 calls:
584.0ms
(* (* 2 (log (cbrt x))) x)
567.0ms
(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
241.0ms
(cbrt x)
268.0ms
(cbrt x)

simplify2.0s

Counts
73 → 73
Iterations

Useful iterations: done (2.0s)

IterNodesCost
095700
1256562
21023458
done5000406

prune317.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×pow1
6×add-exp-log cbrt-prod add-cbrt-cube
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r*
2×log-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 58
Calls
4 calls:
0.0ms
(fma (* 2 (log (cbrt x))) x (* (log (cbrt x)) x))
22.0ms
(* (log (cbrt x)) x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series2.3s

Counts
4 → 12
Calls
4 calls:
1.2s
(fma (* 2 (log (cbrt x))) x (* (log (cbrt x)) x))
526.0ms
(* (log (cbrt x)) x)
279.0ms
(cbrt x)
306.0ms
(cbrt x)

simplify1.9s

Counts
70 → 70
Iterations

Useful iterations: done (1.9s)

IterNodesCost
076522
1142503
2421394
31603350
done5000346

prune252.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×pow1
7×add-exp-log
6×add-cbrt-cube
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod unpow-prod-down pow-unpow associate-*r*
2×pow1/3 log-pow
1×pow-to-exp pow-pow unpow1/3 pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr sqr-pow
Counts
4 → 65
Calls
4 calls:
0.0ms
(fma (* 2 (log (pow x 1/3))) x (* (log (cbrt x)) x))
23.0ms
(* (log (cbrt x)) x)
2.0ms
(cbrt x)
4.0ms
(pow x 1/3)

series2.2s

Counts
4 → 12
Calls
4 calls:
963.0ms
(fma (* 2 (log (pow x 1/3))) x (* (log (cbrt x)) x))
615.0ms
(* (log (cbrt x)) x)
368.0ms
(cbrt x)
237.0ms
(pow x 1/3)

simplify2.6s

Counts
77 → 77
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0110602
1217532
2603426
32358371
done5000368

prune286.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
144
done44

end0.0ms

sample1.0s

Algorithm
intervals
Results
329.0ms8036×body80valid
302.0ms8060×body80nan