Details

Time bar (total: 17.6s)

sample12.0ms

Algorithm
intervals
Results
5.0ms339×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
done65

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize3.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ 1.0 (* x x))

rewrite4.0ms

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 expm1-log1p-u frac-2neg prod-exp clear-num associate-/r* cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 23
Calls
1 calls:
3.0ms
(/ 1.0 (* x x))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ 1.0 (* x x))

simplify5.3s

Counts
26 → 26
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
045197
197194
2279164
31008164
44732164
done5000164

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite9.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 72
Calls
1 calls:
6.0ms
(/ (/ 1.0 x) x)

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ (/ 1.0 x) x)

simplify3.7s

Counts
75 → 75
Iterations

Useful iterations: 3 (689.0ms)

IterNodesCost
0142874
1313825
2749769
32187757
done5000757

prune123.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

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)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
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:
6.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series736.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt x) (cbrt x))
182.0ms
(cbrt x)
176.0ms
(cbrt x)
177.0ms
(cbrt x)

simplify3.8s

Counts
93 → 93
Iterations

Useful iterations: 4 (1.9s)

IterNodesCost
065554
1119495
2322423
31163405
43785400
done5000400

prune199.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 1.0 x) (cbrt (* x x)))
0.2b
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
0.5b
(cbrt x)
21.7b
(cbrt (* x x))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
1049×times-frac
462×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 527
Calls
4 calls:
6.0ms
(/ (/ 1.0 x) (cbrt (* x x)))
22.0ms
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
0.0ms
(cbrt x)
2.0ms
(cbrt (* x x))

series634.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(/ (/ 1.0 x) (cbrt (* x x)))
39.0ms
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
187.0ms
(cbrt x)
182.0ms
(cbrt (* x x))

simplify1.1s

Counts
539 → 539
Iterations

Useful iterations: done (1.1s)

IterNodesCost
081612161
1180811622
done500011120

prune1.4s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

end0.0ms

sample259.0ms

Algorithm
intervals
Results
150.0ms10635×body80valid