Details

Time bar (total: 18.6s)

sample10.0ms

Algorithm
intervals
Results
4.0ms333×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
done65

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize3.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ 1.0 (* x x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
cbrt-undiv div-exp
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:
3.0ms
(/ 1.0 (* x x))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ 1.0 (* x x))

simplify4.8s

Counts
26 → 26
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
045197
197194
2279164
31008164
44732164
done5000164

prune49.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/r*
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 72
Calls
1 calls:
6.0ms
(/ (/ 1.0 x) x)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ (/ 1.0 x) x)

simplify3.8s

Counts
75 → 75
Iterations

Useful iterations: 3 (712.0ms)

IterNodesCost
0142874
1313825
2749769
32187757
done5000757

prune149.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
20.0b
(cbrt (/ (/ 1.0 x) x))
20.0b
(cbrt (/ (/ 1.0 x) x))
20.0b
(cbrt (/ (/ 1.0 x) x))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
486×times-frac
325×cbrt-prod
309×add-sqr-sqrt
253×add-cube-cbrt *-un-lft-identity
46×swap-sqr associate-*r* associate-*l*
28×div-inv
16×unswap-sqr
11×pow1
pow1/3
cbrt-div
add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 339
Calls
4 calls:
69.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
4.0ms
(cbrt (/ (/ 1.0 x) x))
4.0ms
(cbrt (/ (/ 1.0 x) x))
5.0ms
(cbrt (/ (/ 1.0 x) x))

series1.1s

Counts
4 → 12
Calls
4 calls:
298.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
258.0ms
(cbrt (/ (/ 1.0 x) x))
256.0ms
(cbrt (/ (/ 1.0 x) x))
239.0ms
(cbrt (/ (/ 1.0 x) x))

simplify3.5s

Counts
351 → 351
Iterations

Useful iterations: done (3.5s)

IterNodesCost
03886564
16136140
216525828
343195627
done50015624

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

19.2b
(sqrt (/ (/ 1.0 x) x))
19.2b
(sqrt (/ (/ 1.0 x) x))
20.0b
(cbrt (/ (/ 1.0 x) x))
20.0b
(cbrt (/ (/ 1.0 x) x))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
270×times-frac
156×add-sqr-sqrt
144×add-cube-cbrt *-un-lft-identity
86×cbrt-prod sqrt-prod
16×div-inv
pow1 rem-sqrt-square
add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-div sqrt-pow1 pow1/2 pow1/3 sqrt-div
Counts
4 → 224
Calls
4 calls:
8.0ms
(sqrt (/ (/ 1.0 x) x))
8.0ms
(sqrt (/ (/ 1.0 x) x))
4.0ms
(cbrt (/ (/ 1.0 x) x))
8.0ms
(cbrt (/ (/ 1.0 x) x))

series564.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(sqrt (/ (/ 1.0 x) x))
41.0ms
(sqrt (/ (/ 1.0 x) x))
240.0ms
(cbrt (/ (/ 1.0 x) x))
241.0ms
(cbrt (/ (/ 1.0 x) x))

simplify2.3s

Counts
236 → 236
Iterations

Useful iterations: 5 (1.5s)

IterNodesCost
02783458
14053228
26563044
312832976
417912914
533592878
done50002878

prune767.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes97.0ms

Accuracy

0% (0.2b 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

sample248.0ms

Algorithm
intervals
Results
139.0ms10595×body80valid