Details

Time bar (total: 7.3s)

sample17.0ms

Algorithm
intervals
Results
8.0ms344×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12111
26511
317011
442711
593211
6264811
done500111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
5.4b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
12×flip3-- flip--
10×add-sqr-sqrt
8×frac-times *-un-lft-identity associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*l/
2×distribute-rgt-in sub-neg distribute-lft-in distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 63
Calls
2 calls:
17.0ms
(* (- 1.0 x) (- 3.0 x))
11.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series72.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (- 1.0 x) (- 3.0 x))
48.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify598.0ms

Counts
69 → 69
Iterations

Useful iterations: 2 (155.0ms)

IterNodesCost
0136998
1413961
22032821
done5000821

prune137.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 3.0 x) 3.0)
0.0b
(/ (- 1.0 x) y)
0.1b
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
69×*-un-lft-identity
64×times-frac
41×add-cube-cbrt
19×add-exp-log associate-*r* associate-*l* add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
10×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
3×add-log-exp
2×flip3-- frac-2neg div-sub clear-num flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 138
Calls
3 calls:
7.0ms
(/ (- 3.0 x) 3.0)
7.0ms
(/ (- 1.0 x) y)
31.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series118.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (- 3.0 x) 3.0)
37.0ms
(/ (- 1.0 x) y)
43.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify735.0ms

Counts
147 → 147
Iterations

Useful iterations: 2 (349.0ms)

IterNodesCost
02021815
15581751
218251580
done50001580

prune284.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.1b
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
0.1b
(/ (- 3.0 x) (cbrt 3.0))
0.1b
(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
190×add-exp-log
122×add-sqr-sqrt
105×times-frac
104×*-un-lft-identity
90×prod-exp
72×add-cbrt-cube
62×div-exp
61×add-cube-cbrt
38×cbrt-unprod
36×cbrt-prod
35×associate-*r*
30×cbrt-undiv
26×associate-*l*
20×distribute-lft-out-- difference-of-squares
12×rec-exp 1-exp
11×pow1
10×associate-/l*
9×associate-/r* unswap-sqr
6×frac-times associate-*r/
5×div-inv
4×pow-prod-down associate-*l/ associate-/l/ add-log-exp
2×flip3-- frac-2neg div-sub clear-num *-commutative flip--
Counts
4 → 257
Calls
4 calls:
7.0ms
(/ (- 1.0 x) y)
46.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
8.0ms
(/ (- 3.0 x) (cbrt 3.0))
95.0ms
(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))

series337.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (- 1.0 x) y)
129.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
77.0ms
(/ (- 3.0 x) (cbrt 3.0))
99.0ms
(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))

simplify1.2s

Counts
269 → 269
Iterations

Useful iterations: 2 (518.0ms)

IterNodesCost
03485053
110854544
235293423
done50013423

prune523.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- 3.0 x))
0.1b
(/ (- 1.0 x) (* 3.0 (/ y (- 3.0 x))))
0.2b
(* 3.0 (/ y (- 3.0 x)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
43×*-un-lft-identity
36×times-frac
25×add-cube-cbrt
21×associate-*r*
19×add-exp-log add-cbrt-cube
9×distribute-lft-out-- difference-of-squares
8×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1 associate-/r/
4×prod-exp cbrt-unprod
3×flip3-- associate-*l* flip-- div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/l/ unswap-sqr
1×div-sub pow-prod-down *-commutative
Counts
3 → 108
Calls
3 calls:
5.0ms
(/ y (- 3.0 x))
16.0ms
(/ (- 1.0 x) (* 3.0 (/ y (- 3.0 x))))
16.0ms
(* 3.0 (/ y (- 3.0 x)))

series121.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ y (- 3.0 x))
48.0ms
(/ (- 1.0 x) (* 3.0 (/ y (- 3.0 x))))
38.0ms
(* 3.0 (/ y (- 3.0 x)))

simplify579.0ms

Counts
117 → 117
Iterations

Useful iterations: done (576.0ms)

IterNodesCost
02011461
15011401
215441249
done50011233

prune217.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes68.0ms

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
0911
11011
done1011

end0.0ms

sample425.0ms

Algorithm
intervals
Results
256.0ms10636×body80valid