Details

Time bar (total: 14.8s)

sample23.0ms

Algorithm
intervals
Results
10.0ms330×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize8.0ms

Local error

Found 1 expressions with local error:

1.2b
(/ 1.0 (* x x))

rewrite16.0ms

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 frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
14.0ms
(/ 1.0 (* x x))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ 1.0 (* x x))

simplify720.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
043185
1109182
2607152
done5000152

prune103.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ 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 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 70
Calls
1 calls:
24.0ms
(/ (/ 1.0 x) x)

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (/ 1.0 x) x)

simplify1.5s

Counts
73 → 73
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0140862
1338813
21621761
done5001749

prune378.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
18.1b
(cbrt (/ (/ 1.0 x) x))
18.1b
(cbrt (/ (/ 1.0 x) x))
18.1b
(cbrt (/ (/ 1.0 x) x))

rewrite252.0ms

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
9×pow1/3
7×cbrt-div
6×add-exp-log
4×add-cbrt-cube 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 → 331
Calls
4 calls:
164.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
11.0ms
(cbrt (/ (/ 1.0 x) x))
11.0ms
(cbrt (/ (/ 1.0 x) x))
12.0ms
(cbrt (/ (/ 1.0 x) x))

series1.9s

Counts
4 → 12
Calls
4 calls:
533.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
437.0ms
(cbrt (/ (/ 1.0 x) x))
440.0ms
(cbrt (/ (/ 1.0 x) x))
473.0ms
(cbrt (/ (/ 1.0 x) x))

simplify2.9s

Counts
343 → 343
Iterations

Useful iterations: done (2.9s)

IterNodesCost
03846494
16566058
229105758
done50015620

prune2.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize32.0ms

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)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
19.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
360.0ms
(* (cbrt x) (cbrt x))
327.0ms
(cbrt x)
319.0ms
(cbrt x)
318.0ms
(cbrt x)

simplify1.6s

Counts
85 → 85
Iterations

Useful iterations: done (1.6s)

IterNodesCost
061524
1139417
2735397
done5000383

prune426.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes187.0ms

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

sample817.0ms

Algorithm
intervals
Results
436.0ms10601×body80valid