Details

Time bar (total: 10.3s)

sample28.0ms

Algorithm
intervals
Results
12.0ms341×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
04

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ 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×expm1-log1p-u pow1 clear-num associate-/r* frac-2neg prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 23
Calls
1 calls:
6.0ms
(/ 1.0 (* x x))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(/ 1.0 (* x x))

simplify545.0ms

Counts
26 → 26
Iterations
IterNodes
done5001
2616
1112
045

prune81.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite12.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
Counts
1 → 72
Calls
1 calls:
10.0ms
(/ (/ 1.0 x) x)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ (/ 1.0 x) x)

simplify1.0s

Counts
75 → 75
Iterations
IterNodes
done5000
21637
1343
0142

prune326.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

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))

rewrite53.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 152
Calls
4 calls:
36.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
4.0ms
(cbrt (/ 1.0 x))
3.0ms
(cbrt (/ 1.0 x))
4.0ms
(cbrt (/ 1.0 x))

series1.7s

Counts
4 → 12
Calls
4 calls:
390.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
313.0ms
(cbrt (/ 1.0 x))
289.0ms
(cbrt (/ 1.0 x))
661.0ms
(cbrt (/ 1.0 x))

simplify1.2s

Counts
164 → 164
Iterations
IterNodes
done5001
21212
1259
0146

prune836.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 1.0 (cbrt x)) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
258×times-frac
144×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
141×cbrt-prod
22×associate-/l*
9×add-exp-log
8×div-inv
6×associate-/r* add-cbrt-cube
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×clear-num frac-2neg associate-/l/
Counts
4 → 216
Calls
4 calls:
18.0ms
(/ (/ 1.0 (cbrt x)) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
316.0ms
(/ (/ 1.0 (cbrt x)) (cbrt x))
271.0ms
(cbrt x)
285.0ms
(cbrt x)
305.0ms
(cbrt x)

simplify1.5s

Counts
228 → 228
Iterations
IterNodes
done5000
23862
1711
0291

prune960.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes260.0ms

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

sample554.0ms

Algorithm
intervals
Results
325.0ms10638×body80valid