Details

Time bar (total: 22.7s)

sample23.0ms

Algorithm
intervals
Results
9.0ms335×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize5.0ms

Local error

Found 1 expressions with local error:

9.4b
(/ x (* y y))

rewrite12.0ms

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:
11.0ms
(/ x (* y y))

series32.0ms

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

simplify3.8s

Counts
26 → 26
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
045197
193194
2234164
3538164
4924164
52410164
done5000164

prune73.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ x y) y)

rewrite15.0ms

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:
11.0ms
(/ (/ x y) y)

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (/ x y) y)

simplify4.9s

Counts
75 → 75
Iterations

Useful iterations: done (4.9s)

IterNodesCost
0142874
1305825
2632769
31471757
43803736
done5001733

prune135.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (/ 1 y) (/ x y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
25×times-frac
23×add-exp-log
17×*-un-lft-identity
15×add-cube-cbrt
13×associate-*r* associate-*l* add-cbrt-cube
8×div-exp prod-exp
6×unswap-sqr
4×cbrt-undiv cbrt-unprod
3×pow1
2×rec-exp 1-exp div-inv
1×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 58
Calls
1 calls:
24.0ms
(* (/ 1 y) (/ x y))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* (/ 1 y) (/ x y))

simplify5.8s

Counts
61 → 61
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0112649
1298529
2906435
32389419
done5000419

prune121.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite31.0ms

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:
22.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
261.0ms
(* (cbrt x) (cbrt x))
280.0ms
(cbrt x)
312.0ms
(cbrt x)
296.0ms
(cbrt x)

simplify5.4s

Counts
93 → 93
Iterations

Useful iterations: done (5.4s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune278.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes56.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

end0.0ms

sample652.0ms

Algorithm
intervals
Results
276.0ms10644×body80valid