Details

Time bar (total: 4.5s)

sample13.0ms

Algorithm
intervals
Results
6.0ms355×body80valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize4.0ms

Local error

Found 1 expressions with local error:

1.3b
(/ 1.0 (* x x))

rewrite8.0ms

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:
8.0ms
(/ 1.0 (* x x))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ 1.0 (* x x))

simplify75.0ms

Counts
24 → 24

prune41.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite18.0ms

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:
15.0ms
(/ (/ 1.0 x) x)

series27.0ms

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

simplify44.0ms

Counts
73 → 73

prune138.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite42.0ms

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:
29.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
3.0ms
(cbrt (/ 1.0 x))

series1.1s

Counts
4 → 12
Calls
4 calls:
337.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
261.0ms
(cbrt (/ 1.0 x))
261.0ms
(cbrt (/ 1.0 x))
279.0ms
(cbrt (/ 1.0 x))

simplify47.0ms

Counts
156 → 156

prune437.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
100×cbrt-prod
99×add-sqr-sqrt
80×times-frac
52×add-cube-cbrt *-un-lft-identity
40×associate-*r*
16×associate-*l*
15×unswap-sqr
9×add-exp-log
6×pow1
5×add-cbrt-cube
4×cbrt-div div-inv add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×cbrt-undiv frac-times associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 142
Calls
4 calls:
41.0ms
(* (cbrt (/ 1.0 x)) (/ (cbrt 1.0) (cbrt x)))
1.0ms
(cbrt x)
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))

series1.1s

Counts
4 → 12
Calls
4 calls:
356.0ms
(* (cbrt (/ 1.0 x)) (/ (cbrt 1.0) (cbrt x)))
271.0ms
(cbrt x)
240.0ms
(cbrt (/ 1.0 x))
224.0ms
(cbrt (/ 1.0 x))

simplify50.0ms

Counts
154 → 154

prune638.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes106.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

end0.0ms

sample484.0ms

Algorithm
intervals
Results
258.0ms10646×body80valid