Details

Time bar (total: 20.5s)

sample48.0ms

Algorithm
intervals
Results
13.0ms49×body1280valid
9.0ms48×body640valid
6.0ms124×body80valid
3.0ms23×body320valid
1.0ms12×body160valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2107
done107

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize30.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.7b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite126.0ms

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:
14.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt x)
100.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series672.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(cbrt (+ x 1.0))
316.0ms
(cbrt x)
258.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.6s

Counts
108 → 108
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01942160
14331776
29941468
329991265
done50001254

prune375.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1.0 x))
0.3b
(cbrt (+ 1.0 x))
0.6b
(cbrt x)
3.6b
(pow x 2/3)

rewrite14.0ms

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)

series836.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (+ 1.0 x))
136.0ms
(cbrt (+ 1.0 x))
277.0ms
(cbrt x)
274.0ms
(pow x 2/3)

simplify2.2s

Counts
76 → 76
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0127659
1274603
2611572
31564510
done5001486

prune433.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite24.0ms

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:
17.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
288.0ms
(* (cbrt x) (cbrt x))
329.0ms
(cbrt x)
328.0ms
(cbrt x)
310.0ms
(cbrt x)

simplify5.9s

Counts
93 → 93
Iterations

Useful iterations: done (5.9s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune413.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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)

series1.2s

Counts
4 → 12
Calls
4 calls:
276.0ms
(cbrt x)
298.0ms
(cbrt x)
325.0ms
(cbrt x)
253.0ms
(cbrt x)

simplify2.4s

Counts
64 → 64
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
026284
144268
285244
3162232
4407232
51333232
done5000232

prune335.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.2b

regimes238.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01121
11419
done1419

end0.0ms

sample1.4s

Algorithm
intervals
Results
493.0ms1719×body1280valid
233.0ms4059×body80valid
212.0ms1265×body640valid
166.0ms629×body320valid
27.0ms328×body160valid