Details

Time bar (total: 21.5s)

sample25.0ms

Algorithm
intervals
Results
12.0ms338×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ 1.0 (* x x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
2×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num associate-/r* cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 23
Calls
1 calls:
17.0ms
(/ 1.0 (* x x))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ 1.0 (* x x))

simplify4.5s

Counts
26 → 26
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
045197
193194
2234164
3538164
4924164
52410164
done5000164

prune60.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/r*
1×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 72
Calls
1 calls:
23.0ms
(/ (/ 1.0 x) x)

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ (/ 1.0 x) x)

simplify5.7s

Counts
75 → 75
Iterations

Useful iterations: done (5.7s)

IterNodesCost
0142874
1305825
2632769
31471757
43803736
done5001733

prune192.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 1.0 (cbrt x)) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
258×times-frac
144×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
141×cbrt-prod
22×associate-/l*
9×add-exp-log
8×div-inv
6×associate-/r* add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×frac-2neg clear-num associate-/l/
Counts
4 → 216
Calls
4 calls:
30.0ms
(/ (/ 1.0 (cbrt x)) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
431.0ms
(/ (/ 1.0 (cbrt x)) (cbrt x))
276.0ms
(cbrt x)
303.0ms
(cbrt x)
264.0ms
(cbrt x)

simplify2.7s

Counts
228 → 228
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02913327
16393104
212902870
337892824
done50002815

prune721.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
27.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
2.0ms
(cbrt (/ 1.0 x))
4.0ms
(cbrt (/ 1.0 x))
5.0ms
(cbrt (/ 1.0 x))

series1.4s

Counts
4 → 12
Calls
4 calls:
404.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
316.0ms
(cbrt (/ 1.0 x))
307.0ms
(cbrt (/ 1.0 x))
374.0ms
(cbrt (/ 1.0 x))

simplify3.2s

Counts
164 → 164
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01461894
12251747
26011685
312371616
440081610
done50001571

prune635.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes154.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

end0.0ms

sample556.0ms

Algorithm
intervals
Results
292.0ms10652×body80valid