Details

Time bar (total: 20.6s)

sample17.0ms

Algorithm
intervals
Results
6.0ms331×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize4.0ms

Local error

Found 1 expressions with local error:

9.7b
(/ 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))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ x (* y y))

simplify3.7s

Counts
26 → 26
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
045197
193194
2234164
3538164
4924164
52410164
done5000164

prune44.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ x y) y)

rewrite18.0ms

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:
14.0ms
(/ (/ x y) y)

series24.0ms

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

simplify4.6s

Counts
75 → 75
Iterations

Useful iterations: done (4.6s)

IterNodesCost
0142874
1305825
2632769
31471757
43803736
done5001733

prune181.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

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:
29.0ms
(* (/ 1 y) (/ x y))

series25.0ms

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

simplify5.6s

Counts
61 → 61
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
0112649
1298529
2906435
32389419
done5000419

prune155.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1 y)) (cbrt (/ 1 y)))
0.5b
(cbrt (/ 1 y))
0.5b
(cbrt (/ 1 y))
0.5b
(cbrt (/ 1 y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
119×cbrt-prod
97×add-sqr-sqrt
79×times-frac
67×*-un-lft-identity
57×add-cube-cbrt
18×swap-sqr
16×associate-*r* associate-*l* unswap-sqr
11×pow1
9×pow1/3 div-inv
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 → 161
Calls
4 calls:
26.0ms
(* (cbrt (/ 1 y)) (cbrt (/ 1 y)))
3.0ms
(cbrt (/ 1 y))
3.0ms
(cbrt (/ 1 y))
3.0ms
(cbrt (/ 1 y))

series1.1s

Counts
4 → 12
Calls
4 calls:
296.0ms
(* (cbrt (/ 1 y)) (cbrt (/ 1 y)))
277.0ms
(cbrt (/ 1 y))
268.0ms
(cbrt (/ 1 y))
292.0ms
(cbrt (/ 1 y))

simplify3.5s

Counts
173 → 173
Iterations

Useful iterations: done (3.5s)

IterNodesCost
01432040
12221591
24801561
313041532
done50001515

prune529.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes114.0ms

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 (1.0ms)

IterNodesCost
045
done45

end0.0ms

sample783.0ms

Algorithm
intervals
Results
356.0ms10545×body80valid