Details

Time bar (total: 11.4s)

sample24.0ms

Algorithm
intervals
Results
6.0ms45×body1280valid
4.0ms138×body80valid
4.0ms45×body640valid
1.0ms19×body320valid
0.0ms9×body160valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2107
done107

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.6b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
56×*-un-lft-identity
42×prod-diff
41×add-sqr-sqrt
33×add-cube-cbrt
9×distribute-lft-out
7×fma-neg
5×add-log-exp
4×difference-of-squares
3×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 99
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
63.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series651.0ms

Counts
3 → 9
Calls
3 calls:
140.0ms
(cbrt (+ x 1.0))
303.0ms
(cbrt x)
208.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify991.0ms

Counts
108 → 108
Iterations

Useful iterations: done (984.0ms)

IterNodesCost
01942160
14591790
214081468
done50011288

prune393.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.6b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1.0 x))
0.3b
(cbrt (+ 1.0 x))
0.6b
(cbrt x)
3.5b
(pow x 2/3)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
11×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt
5×pow1 add-exp-log
4×expm1-log1p-u cbrt-div add-cbrt-cube log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow pow1/3
2×flip3-+ flip-+ distribute-lft-out
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
4 → 64
Calls
4 calls:
4.0ms
(cbrt (+ 1.0 x))
4.0ms
(cbrt (+ 1.0 x))
1.0ms
(cbrt x)
3.0ms
(pow x 2/3)

series814.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(cbrt (+ 1.0 x))
139.0ms
(cbrt (+ 1.0 x))
272.0ms
(cbrt x)
288.0ms
(pow x 2/3)

simplify823.0ms

Counts
76 → 76
Iterations

Useful iterations: done (816.0ms)

IterNodesCost
0127659
1309603
21125572
done5000526

prune391.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
22.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.6s

Counts
4 → 12
Calls
4 calls:
347.0ms
(* (cbrt x) (cbrt x))
326.0ms
(cbrt x)
276.0ms
(cbrt x)
601.0ms
(cbrt x)

simplify1.3s

Counts
93 → 93
Iterations

Useful iterations: done (1.3s)

IterNodesCost
065554
1143443
2719423
done5000409

prune356.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×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 → 52
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
271.0ms
(cbrt x)
277.0ms
(cbrt x)
277.0ms
(cbrt x)
285.0ms
(cbrt x)

simplify1.1s

Counts
64 → 64
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
026284
147268
2115244
3334232
41002232
done5001232

prune313.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.2b

regimes83.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01630
12328
22428
done2428

end0.0ms

sample1.2s

Algorithm
intervals
Results
422.0ms1759×body1280valid
238.0ms4044×body80valid
218.0ms1259×body640valid
65.0ms612×body320valid
24.0ms326×body160valid