Details

Time bar (total: 13.0s)

sample11.0ms

Algorithm
intervals
Results
5.0ms346×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
done65

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize6.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ 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))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ 1.0 (* x x))

simplify3.1s

Counts
26 → 26
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
045197
197194
2279164
31008164
43825164
done5000164

prune51.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ (/ 1.0 x) x)

simplify2.3s

Counts
75 → 75
Iterations

Useful iterations: 3 (629.0ms)

IterNodesCost
0142874
1313825
2748769
32115757
done5000757

prune136.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

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)

rewrite9.0ms

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:
5.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series733.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt x) (cbrt x))
185.0ms
(cbrt x)
175.0ms
(cbrt x)
174.0ms
(cbrt x)

simplify3.2s

Counts
93 → 93
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
065554
1119443
2329423
31180405
43749400
done5000400

prune202.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
0.3b
(/ (/ 1.0 x) (cbrt (* x x)))
0.5b
(cbrt x)
21.2b
(cbrt (* x x))

rewrite76.0ms

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:
23.0ms
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
9.0ms
(/ (/ 1.0 x) (cbrt (* x x)))
0.0ms
(cbrt x)
2.0ms
(cbrt (* x x))

series607.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
218.0ms
(/ (/ 1.0 x) (cbrt (* x x)))
175.0ms
(cbrt x)
170.0ms
(cbrt (* x x))

simplify685.0ms

Counts
539 → 539
Iterations

Useful iterations: done (664.0ms)

IterNodesCost
081612161
1180811134
done500011116

prune1.5s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes69.0ms

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

sample263.0ms

Algorithm
intervals
Results
150.0ms10663×body80valid