Details

Time bar (total: 15.9s)

sample12.0ms

Algorithm
intervals
Results
7.0ms341×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
04

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize6.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ 1.0 (* x x))

rewrite12.0ms

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 insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 24
Calls
1 calls:
11.0ms
(/ 1.0 (* x x))

series43.0ms

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

simplify1.5s

Counts
27 → 27
Iterations
IterNodes
done5000
31276
2308
1103
046

prune63.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite13.0ms

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 insert-posit16 log1p-expm1-u add-log-exp associate-/l/
Counts
1 → 73
Calls
1 calls:
10.0ms
(/ (/ 1.0 x) x)

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ (/ 1.0 x) x)

simplify3.0s

Counts
76 → 76
Iterations
IterNodes
done5321
34113
2797
1324
0143

prune266.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

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))

rewrite38.0ms

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 insert-posit16 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 → 156
Calls
4 calls:
24.0ms
(* (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))

series1.3s

Counts
4 → 12
Calls
4 calls:
381.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
316.0ms
(cbrt (/ 1.0 x))
305.0ms
(cbrt (/ 1.0 x))
347.0ms
(cbrt (/ 1.0 x))

simplify2.7s

Counts
168 → 168
Iterations
IterNodes
done5012
43884
31274
2579
1258
0148

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

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)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u 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 → 85
Calls
4 calls:
18.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
347.0ms
(* (cbrt x) (cbrt x))
238.0ms
(cbrt x)
269.0ms
(cbrt x)
299.0ms
(cbrt x)

simplify3.3s

Counts
97 → 97
Iterations
IterNodes
done5003
44334
31106
2364
1141
067

prune431.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes131.0ms

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

sample537.0ms

Algorithm
intervals
Results
379.0ms10709×body80valid