Details

Time bar (total: 18.4s)

sample24.0ms

Algorithm
intervals
Results
10.0ms338×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
04

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ 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 log1p-expm1-u div-inv add-log-exp
Counts
1 → 23
Calls
1 calls:
11.0ms
(/ 1.0 (* x x))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ 1.0 (* x x))

simplify1.5s

Counts
26 → 26
Iterations
IterNodes
done5003
31298
2305
1102
045

prune104.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite17.0ms

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

series36.0ms

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

simplify3.3s

Counts
75 → 75
Iterations
IterNodes
done5057
34293
2809
1323
0142

prune309.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite13.0ms

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 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 → 81
Calls
4 calls:
9.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
332.0ms
(* (cbrt x) (cbrt x))
264.0ms
(cbrt x)
288.0ms
(cbrt x)
270.0ms
(cbrt x)

simplify3.6s

Counts
93 → 93
Iterations
IterNodes
done5000
44108
31072
2382
1140
065

prune314.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 1.0 x) (cbrt (* x x)))
0.3b
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
0.5b
(cbrt x)
20.0b
(cbrt (* x x))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
1049×times-frac
462×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
280×cbrt-prod
69×associate-/l*
42×div-inv
18×add-exp-log
11×add-cbrt-cube
10×associate-/r*
9×cbrt-undiv div-exp
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
2×clear-num frac-2neg pow1/3 associate-/l/
Counts
4 → 527
Calls
4 calls:
10.0ms
(/ (/ 1.0 x) (cbrt (* x x)))
39.0ms
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
1.0ms
(cbrt x)
3.0ms
(cbrt (* x x))

series1.0s

Counts
4 → 12
Calls
4 calls:
296.0ms
(/ (/ 1.0 x) (cbrt (* x x)))
71.0ms
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
290.0ms
(cbrt x)
347.0ms
(cbrt (* x x))

simplify3.0s

Counts
539 → 539
Iterations
IterNodes
done5002
24535
11920
0816

prune2.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes142.0ms

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

end1.0ms

sample818.0ms

Algorithm
intervals
Results
267.0ms10609×body80valid