Details

Time bar (total: 22.2s)

sample22.0ms

Algorithm
intervals
Results
10.0ms336×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: 0.8b

localize7.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ 1.0 (* x x))

rewrite17.0ms

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:
16.0ms
(/ 1.0 (* x x))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ 1.0 (* x x))

simplify4.6s

Counts
26 → 26
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
045197
193194
2234164
3538164
4924164
52410164
done5000164

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite38.0ms

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:
30.0ms
(/ (/ 1.0 x) x)

series38.0ms

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

simplify5.3s

Counts
75 → 75
Iterations

Useful iterations: done (5.3s)

IterNodesCost
0142874
1305825
2632769
31471757
43803736
done5001733

prune192.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (/ (sqrt 1.0) (cbrt x)) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
492×times-frac
264×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
258×cbrt-prod
126×sqrt-prod
40×associate-/l*
add-exp-log
div-inv
associate-/r* add-cbrt-cube
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-undiv pow1/3 div-exp
frac-2neg clear-num associate-/l/
Counts
4 → 342
Calls
4 calls:
41.0ms
(/ (/ (sqrt 1.0) (cbrt x)) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.7s

Counts
4 → 12
Calls
4 calls:
806.0ms
(/ (/ (sqrt 1.0) (cbrt x)) (cbrt x))
317.0ms
(cbrt x)
314.0ms
(cbrt x)
277.0ms
(cbrt x)

simplify2.9s

Counts
354 → 354
Iterations

Useful iterations: done (2.8s)

IterNodesCost
04046287
18665736
215985364
342715285
done50005267

prune941.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
17.3b
(cbrt (/ (/ 1.0 x) x))
17.3b
(cbrt (/ (/ 1.0 x) x))
17.3b
(cbrt (/ (/ 1.0 x) x))

rewrite214.0ms

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:
148.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
12.0ms
(cbrt (/ (/ 1.0 x) x))
11.0ms
(cbrt (/ (/ 1.0 x) x))
12.0ms
(cbrt (/ (/ 1.0 x) x))

series1.4s

Counts
4 → 12
Calls
4 calls:
373.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
412.0ms
(cbrt (/ (/ 1.0 x) x))
284.0ms
(cbrt (/ (/ 1.0 x) x))
338.0ms
(cbrt (/ (/ 1.0 x) x))

simplify2.6s

Counts
351 → 351
Iterations

Useful iterations: done (2.6s)

IterNodesCost
03886564
15896128
215125828
326055627
done50005567

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes123.0ms

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

sample497.0ms

Algorithm
intervals
Results
231.0ms10612×body80valid