Details

Time bar (total: 21.9s)

sample23.0ms

Algorithm
intervals
Results
6.0ms259×body80valid
4.0ms253×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))

rewrite8.0ms

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×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
7.0ms
(* x (log x))

series271.0ms

Counts
1 → 3
Calls
1 calls:
271.0ms
(* x (log x))

simplify5.7s

Counts
28 → 28
Iterations

Useful iterations: 3 (205.0ms)

IterNodesCost
0535601
1985377
22095295
35594984
430784984
done50014984

prune116.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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)

rewrite24.0ms

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×add-cbrt-cube 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 → 73
Calls
4 calls:
17.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
355.0ms
(* (cbrt x) (cbrt x))
313.0ms
(cbrt x)
270.0ms
(cbrt x)
243.0ms
(cbrt x)

simplify4.9s

Counts
85 → 85
Iterations

Useful iterations: 3 (389.0ms)

IterNodesCost
06117134
113614621
237714346
3103413666
4373513666
done500713666

prune395.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

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)

rewrite38.0ms

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×add-cbrt-cube pow-exp 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 → 94
Calls
4 calls:
22.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(pow (/ 1 x) -1/3)

series1.2s

Counts
4 → 12
Calls
4 calls:
296.0ms
(* (cbrt x) (cbrt x))
321.0ms
(cbrt x)
289.0ms
(cbrt x)
278.0ms
(pow (/ 1 x) -1/3)

simplify1.8s

Counts
106 → 106
Iterations

Useful iterations: done (1.8s)

IterNodesCost
013528491
136123474
294322998
3247822478
done500022438

prune575.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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-*l*
14×cbrt-prod
10×unswap-sqr
8×pow-exp
6×pow1 associate-*r* prod-exp
5×add-cbrt-cube
4×div-exp 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 → 102
Calls
4 calls:
29.0ms
(* (pow (/ 1 x) -1/3) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(pow (/ 1 x) -1/3)

series1.2s

Counts
4 → 12
Calls
4 calls:
332.0ms
(* (pow (/ 1 x) -1/3) (cbrt x))
301.0ms
(cbrt x)
276.0ms
(cbrt x)
255.0ms
(pow (/ 1 x) -1/3)

simplify2.8s

Counts
114 → 114
Iterations

Useful iterations: done (2.8s)

IterNodesCost
015244754
138539902
2102938534
3290837854
done500137783

prune607.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes169.0ms

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

sample907.0ms

Algorithm
intervals
Results
296.0ms8035×body80valid
234.0ms8022×body80nan