Details

Time bar (total: 14.8s)

sample16.0ms

Algorithm
intervals
Results
6.0ms345×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2117
done117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize5.0ms

Local error

Found 1 expressions with local error:

10.2b
(/ x (* y y))

rewrite9.0ms

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:
8.0ms
(/ x (* y y))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ x (* y y))

simplify2.9s

Counts
26 → 26
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
045197
193194
2234164
3538164
4924164
52410164
done5000164

prune52.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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:
23.0ms
(* (/ 1 y) (/ x y))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* (/ 1 y) (/ x y))

simplify4.1s

Counts
61 → 61
Iterations

Useful iterations: 3 (898.0ms)

IterNodesCost
0112649
1298529
2906435
32389419
done5000419

prune105.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ x y) y)

rewrite14.0ms

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)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ (/ x y) y)

simplify3.5s

Counts
75 → 75
Iterations

Useful iterations: done (3.5s)

IterNodesCost
0142874
1305825
2632769
31471757
43803736
done5001733

prune146.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y)))
20.6b
(cbrt (/ (/ x y) y))
20.6b
(cbrt (/ (/ x y) y))
20.6b
(cbrt (/ (/ x y) y))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
486×times-frac
325×cbrt-prod
309×add-sqr-sqrt
253×add-cube-cbrt *-un-lft-identity
46×swap-sqr associate-*r* associate-*l*
28×div-inv
16×unswap-sqr
11×pow1
9×pow1/3
7×cbrt-div
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 339
Calls
4 calls:
78.0ms
(* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y)))
5.0ms
(cbrt (/ (/ x y) y))
8.0ms
(cbrt (/ (/ x y) y))
6.0ms
(cbrt (/ (/ x y) y))

series441.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y)))
104.0ms
(cbrt (/ (/ x y) y))
102.0ms
(cbrt (/ (/ x y) y))
104.0ms
(cbrt (/ (/ x y) y))

simplify1.8s

Counts
351 → 351
Iterations

Useful iterations: done (1.8s)

IterNodesCost
04206610
16576233
216215928
327245709
done50015619

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

end0.0ms

sample424.0ms

Algorithm
intervals
Results
196.0ms10641×body80valid