Details

Time bar (total: 10.8s)

sample11.0ms

Algorithm
intervals
Results
5.0ms343×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
done65

prune1.0ms

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))

series27.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ 1.0 (* x x))

simplify2.2s

Counts
26 → 26
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
045197
199194
2303164
31131164
43406164
done5000164

prune43.0ms

Pruning

5 alts after pruning (4 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)

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ (/ 1.0 x) x)

simplify616.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
0142874
1319825
21199769
done5001769

prune119.0ms

Pruning

9 alts after pruning (7 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)))
18.9b
(cbrt (/ (/ 1.0 x) x))
18.9b
(cbrt (/ (/ 1.0 x) x))
18.9b
(cbrt (/ (/ 1.0 x) x))

rewrite104.0ms

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:
68.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
4.0ms
(cbrt (/ (/ 1.0 x) x))
4.0ms
(cbrt (/ (/ 1.0 x) x))
4.0ms
(cbrt (/ (/ 1.0 x) x))

series827.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
200.0ms
(cbrt (/ (/ 1.0 x) x))
195.0ms
(cbrt (/ (/ 1.0 x) x))
205.0ms
(cbrt (/ (/ 1.0 x) x))

simplify993.0ms

Counts
351 → 351
Iterations

Useful iterations: 2 (213.0ms)

IterNodesCost
03886564
16166140
223635828
done50005828

prune846.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (/ 1.0 x))
18.9b
(cbrt (/ (/ 1.0 x) x))
18.9b
(cbrt (/ (/ 1.0 x) x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
102×cbrt-prod
82×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
div-inv
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-div
Counts
4 → 145
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt (/ 1.0 x))
4.0ms
(cbrt (/ (/ 1.0 x) x))
4.0ms
(cbrt (/ (/ 1.0 x) x))

series758.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
183.0ms
(cbrt (/ 1.0 x))
200.0ms
(cbrt (/ (/ 1.0 x) x))
200.0ms
(cbrt (/ (/ 1.0 x) x))

simplify3.4s

Counts
157 → 157
Iterations

Useful iterations: 3 (634.0ms)

IterNodesCost
02392052
13801937
211111729
349501693
done50001693

prune420.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes82.0ms

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

sample279.0ms

Algorithm
intervals
Results
159.0ms10694×body80valid