Details

Time bar (total: 21.2s)

sample18.0ms

Algorithm
intervals
Results
6.0ms258×body80valid
4.0ms269×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
034
144
done44

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
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))

series170.0ms

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

simplify14.6s

Counts
30 → 30
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
055213
197204
2330180
3864173
43008173
done5000173

prune51.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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)
9.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
337.0ms
(* (* 2 (log (cbrt x))) x)
330.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
170.0ms
(cbrt x)
174.0ms
(cbrt x)

simplify602.0ms

Counts
84 → 84
Iterations

Useful iterations: done (600.0ms)

IterNodesCost
0125867
1309778
21235586
done5000585

prune225.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
19×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
15×cbrt-prod
12×distribute-rgt-in associate-+r+ distribute-lft-in
8×pow1
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×unpow-prod-down pow-unpow associate-*l*
2×pow1/3 log-pow
1×+-commutative pow-to-exp pow-pow fma-def flip3-+ unpow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr sqr-pow
Counts
4 → 93
Calls
4 calls:
5.0ms
(* x (log (cbrt x)))
9.0ms
(+ (* (* 2 (log (pow x 1/3))) x) (* x (log (cbrt x))))
0.0ms
(cbrt x)
1.0ms
(pow x 1/3)

series1.1s

Counts
4 → 12
Calls
4 calls:
327.0ms
(* x (log (cbrt x)))
451.0ms
(+ (* (* 2 (log (pow x 1/3))) x) (* x (log (cbrt x))))
177.0ms
(cbrt x)
175.0ms
(pow x 1/3)

simplify662.0ms

Counts
105 → 105
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
01561060
1360897
21492770
done5001770

prune289.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

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))

series832.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt x)
181.0ms
(cbrt x)
239.0ms
(cbrt (cbrt x))
237.0ms
(cbrt (cbrt x))

simplify555.0ms

Counts
70 → 70
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
046374
179358
2154328
3371316
41225316
done5001316

prune396.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes54.0ms

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

sample471.0ms

Algorithm
intervals
Results
169.0ms8032×body80valid
114.0ms8146×body80nan