Details

Time bar (total: 12.7s)

sample16.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms226×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
034
144
done44

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))

simplify4.0s

Counts
30 → 30
Iterations

Useful iterations: 3 (132.0ms)

IterNodesCost
055213
195204
2272180
3708173
42577173
done5000173

prune52.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod associate-+r+ log-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×distribute-rgt-in distribute-lft-in 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 fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 72
Calls
4 calls:
8.0ms
(* (* 2 (log (cbrt x))) x)
10.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
347.0ms
(* (* 2 (log (cbrt x))) x)
345.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
178.0ms
(cbrt x)
178.0ms
(cbrt x)

simplify659.0ms

Counts
84 → 84
Iterations

Useful iterations: done (656.0ms)

IterNodesCost
0125867
1307776
21090586
done5000570

prune234.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 58
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series866.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt x)
183.0ms
(cbrt x)
248.0ms
(cbrt (cbrt x))
246.0ms
(cbrt (cbrt x))

simplify552.0ms

Counts
70 → 70
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
046374
179356
2151328
3335316
41129316
done5001316

prune263.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (* (cbrt -1) (cbrt (- x))))
0.4b
(* (* 3 x) (log (* (cbrt -1) (cbrt (- x)))))
0.6b
(cbrt (- x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1
11×add-exp-log
10×cbrt-prod
8×add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down
6×associate-*r* log-pow
5×pow1/3
4×prod-exp
3×distribute-lft-neg-in expm1-log1p-u log-prod distribute-rgt-neg-in cbrt-unprod log1p-expm1-u add-log-exp
2×rem-log-exp
1×distribute-rgt-in neg-mul-1 distribute-lft-in associate-*l* *-commutative
Counts
3 → 60
Calls
3 calls:
4.0ms
(log (* (cbrt -1) (cbrt (- x))))
15.0ms
(* (* 3 x) (log (* (cbrt -1) (cbrt (- x)))))
1.0ms
(cbrt (- x))

series1.0s

Counts
3 → 9
Calls
3 calls:
358.0ms
(log (* (cbrt -1) (cbrt (- x))))
489.0ms
(* (* 3 x) (log (* (cbrt -1) (cbrt (- x)))))
192.0ms
(cbrt (- x))

simplify3.0s

Counts
69 → 69
Iterations

Useful iterations: 3 (667.0ms)

IterNodesCost
0101681
1210650
2735555
34175546
done5001546

prune136.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.3b 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

sample445.0ms

Algorithm
intervals
Results
165.0ms8034×body80valid
99.0ms8013×body80nan