Details

Time bar (total: 14.4s)

sample15.0ms

Algorithm
intervals
Results
7.0ms338×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
04

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ 1.0 (* x x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt associate-/l*
2×cbrt-undiv div-exp
1×pow1 clear-num associate-/r* frac-2neg prod-exp cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
6.0ms
(/ 1.0 (* x x))

series27.0ms

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

simplify1.5s

Counts
24 → 24
Iterations
IterNodes
done5000
31448
2324
1102
043

prune93.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/l*
6×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv associate-/r* div-exp
1×pow1 clear-num frac-2neg add-log-exp associate-/l/
Counts
1 → 70
Calls
1 calls:
19.0ms
(/ (/ 1.0 x) x)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ (/ 1.0 x) x)

simplify3.5s

Counts
73 → 73
Iterations
IterNodes
done5042
34530
2835
1316
0140

prune344.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×*-un-lft-identity add-cube-cbrt
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-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
25.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))

series1.2s

Counts
4 → 12
Calls
4 calls:
329.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
302.0ms
(cbrt (/ 1.0 x))
336.0ms
(cbrt (/ 1.0 x))
248.0ms
(cbrt (/ 1.0 x))

simplify2.3s

Counts
156 → 156
Iterations
IterNodes
done5056
43659
31213
2541
1251
0142

prune876.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
197×add-sqr-sqrt
193×cbrt-prod
184×times-frac
107×*-un-lft-identity add-cube-cbrt
40×swap-sqr associate-*r* associate-*l*
25×unswap-sqr
16×add-exp-log
11×pow1
8×add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp
3×pow1/3
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 202
Calls
4 calls:
72.0ms
(* (/ (cbrt 1.0) (cbrt x)) (/ (cbrt 1.0) (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
318.0ms
(* (/ (cbrt 1.0) (cbrt x)) (/ (cbrt 1.0) (cbrt x)))
274.0ms
(cbrt x)
294.0ms
(cbrt x)
279.0ms
(cbrt x)

simplify1.4s

Counts
214 → 214
Iterations
IterNodes
done5000
22631
1894
0247

prune1.1s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes172.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done4
04

end0.0ms

sample399.0ms

Algorithm
intervals
Results
235.0ms10609×body80valid