Details

Time bar (total: 11.5s)

sample11.0ms

Algorithm
intervals
Results
5.0ms354×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: 0.5b

localize3.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ 1.0 (* x x))

rewrite4.0ms

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:
3.0ms
(/ 1.0 (* x x))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ 1.0 (* x x))

simplify2.0s

Counts
24 → 24
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
043185
194182
2279152
31043152
44187152
done5000152

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite10.0ms

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:
6.0ms
(/ (/ 1.0 x) x)

series27.0ms

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

simplify2.9s

Counts
73 → 73
Iterations

Useful iterations: 3 (960.0ms)

IterNodesCost
0140862
1311813
2909757
34991745
done5000745

prune115.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
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 → 144
Calls
4 calls:
21.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
1.0ms
(cbrt (/ 1.0 x))
1.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))

series816.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
193.0ms
(cbrt (/ 1.0 x))
197.0ms
(cbrt (/ 1.0 x))
193.0ms
(cbrt (/ 1.0 x))

simplify2.1s

Counts
156 → 156
Iterations

Useful iterations: 3 (736.0ms)

IterNodesCost
01421844
12221697
27041635
334861570
done50001570

prune367.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.6b
(cbrt (/ 1.0 x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod
29×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
11×pow1
9×times-frac 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 cbrt-div pow-plus prod-exp *-commutative cbrt-unprod div-inv
Counts
4 → 84
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
2.0ms
(cbrt (/ 1.0 x))

series752.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt x) (cbrt x))
177.0ms
(cbrt x)
182.0ms
(cbrt x)
194.0ms
(cbrt (/ 1.0 x))

simplify1.7s

Counts
96 → 96
Iterations

Useful iterations: 3 (529.0ms)

IterNodesCost
0117688
1191572
2584546
33074528
done5000528

prune241.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes60.0ms

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

sample260.0ms

Algorithm
intervals
Results
149.0ms10796×body80valid