Details

Time bar (total: 21.9s)

sample24.0ms

Algorithm
intervals
Results
8.0ms259×body80valid
5.0ms253×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03111
14111
done4111

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×*-un-lft-identity add-cube-cbrt
4×pow1 associate-*r*
3×distribute-rgt-in distribute-lft-in add-cbrt-cube associate-*l* add-exp-log
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:
11.0ms
(* x (log x))

series283.0ms

Counts
1 → 3
Calls
1 calls:
283.0ms
(* x (log x))

simplify5.0s

Counts
30 → 30
Iterations

Useful iterations: 3 (201.0ms)

IterNodesCost
0555983
11015759
22195637
35745366
426285366
done50005366

prune122.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
9.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
331.0ms
(* (cbrt x) (cbrt x))
211.0ms
(cbrt x)
286.0ms
(cbrt x)
237.0ms
(cbrt x)

simplify4.9s

Counts
93 → 93
Iterations

Useful iterations: 3 (360.0ms)

IterNodesCost
06518502
114015989
238215714
3107215034
4410815034
done500015034

prune525.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.7b
(cbrt x)
0.7b
(cbrt x)
5.1b
(pow (/ 1 x) -1/3)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×cbrt-prod *-un-lft-identity add-cube-cbrt
13×pow1 unpow-prod-down
11×add-exp-log
9×times-frac
8×pow1/3
6×swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube pow-exp log1p-expm1-u add-log-exp unswap-sqr
3×pow-unpow pow-pow
2×div-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp rec-exp pow-plus 1-exp prod-exp *-commutative cbrt-unprod div-inv pow-flip inv-pow sqr-pow
Counts
4 → 102
Calls
4 calls:
10.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
13.0ms
(pow (/ 1 x) -1/3)

series1.2s

Counts
4 → 12
Calls
4 calls:
282.0ms
(* (cbrt x) (cbrt x))
315.0ms
(cbrt x)
256.0ms
(cbrt x)
296.0ms
(pow (/ 1 x) -1/3)

simplify2.4s

Counts
114 → 114
Iterations

Useful iterations: done (2.4s)

IterNodesCost
014130203
136725186
297024750
3270224190
done501124150

prune619.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (pow (/ 1 x) -1/3))
0.7b
(cbrt x)
0.7b
(cbrt x)
5.1b
(pow (/ 1 x) -1/3)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
32×unpow-prod-down
26×*-un-lft-identity
24×add-cube-cbrt
22×times-frac
21×add-exp-log
17×associate-*r*
14×cbrt-prod
10×unswap-sqr
8×pow-exp
6×pow1 associate-*l* prod-exp
5×add-cbrt-cube
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp sqr-pow
3×pow-unpow pow-pow
2×pow-to-exp rec-exp pow1/3 1-exp div-inv
1×*-commutative cbrt-unprod pow-flip inv-pow
Counts
4 → 110
Calls
4 calls:
47.0ms
(* (cbrt x) (pow (/ 1 x) -1/3))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(pow (/ 1 x) -1/3)

series1.2s

Counts
4 → 12
Calls
4 calls:
365.0ms
(* (cbrt x) (pow (/ 1 x) -1/3))
301.0ms
(cbrt x)
257.0ms
(cbrt x)
247.0ms
(pow (/ 1 x) -1/3)

simplify2.6s

Counts
122 → 122
Iterations

Useful iterations: done (2.6s)

IterNodesCost
015846959
138740726
2104539430
3296538653
done500038607

prune740.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes172.0ms

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
03111
14111
done4111

end0.0ms

sample772.0ms

Algorithm
intervals
Results
279.0ms8035×body80valid
177.0ms8022×body80nan