Details

Time bar (total: 15.6s)

sample11.0ms

Algorithm
intervals
Results
5.0ms332×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize3.0ms

Local error

Found 1 expressions with local error:

0.7b
(/ 1.0 (* x x))

rewrite8.0ms

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:
7.0ms
(/ 1.0 (* x x))

series26.0ms

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

simplify3.1s

Counts
26 → 26
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
045197
193194
2234164
3538164
4924164
52410164
done5000164

prune38.0ms

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)

rewrite14.0ms

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:
11.0ms
(/ (/ 1.0 x) x)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ (/ 1.0 x) x)

simplify3.5s

Counts
75 → 75
Iterations

Useful iterations: done (3.5s)

IterNodesCost
0142874
1305825
2632769
31471757
43803736
done5001733

prune116.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
10.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series764.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(* (cbrt x) (cbrt x))
186.0ms
(cbrt x)
185.0ms
(cbrt x)
188.0ms
(cbrt x)

simplify3.4s

Counts
93 → 93
Iterations

Useful iterations: done (3.4s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune218.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
18.3b
(cbrt (/ (/ 1.0 x) x))
18.3b
(cbrt (/ (/ 1.0 x) x))
18.3b
(cbrt (/ (/ 1.0 x) x))

rewrite126.0ms

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:
76.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
5.0ms
(cbrt (/ (/ 1.0 x) x))
5.0ms
(cbrt (/ (/ 1.0 x) x))
9.0ms
(cbrt (/ (/ 1.0 x) x))

series913.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
214.0ms
(cbrt (/ (/ 1.0 x) x))
221.0ms
(cbrt (/ (/ 1.0 x) x))
219.0ms
(cbrt (/ (/ 1.0 x) x))

simplify2.0s

Counts
351 → 351
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03886564
15896128
215125828
326055627
done50005567

prune825.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes59.0ms

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

sample315.0ms

Algorithm
intervals
Results
158.0ms10648×body80valid