Details

Time bar (total: 14.0s)

sample25.0ms

Algorithm
intervals
Results
12.0ms312×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12111
26511
317511
447511
5107311
6284811
done500211

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
3.9b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite90.0ms

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:
54.0ms
(* (- 1.0 x) (- 3.0 x))
34.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series94.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* (- 1.0 x) (- 3.0 x))
56.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.2s

Counts
69 → 69
Iterations

Useful iterations: 2 (356.0ms)

IterNodesCost
0136998
1406961
22048821
done5001821

prune206.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite112.0ms

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:
23.0ms
(/ (- 3.0 x) 3.0)
22.0ms
(/ (- 1.0 x) y)
58.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series189.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(/ (- 3.0 x) 3.0)
58.0ms
(/ (- 1.0 x) y)
70.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.2s

Counts
147 → 147
Iterations

Useful iterations: 2 (369.0ms)

IterNodesCost
02021815
15461751
217731580
done50001580

prune289.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
68×add-sqr-sqrt *-un-lft-identity
28×add-cube-cbrt
20×distribute-lft-out-- difference-of-squares
16×add-exp-log associate-/r* add-cbrt-cube
15×associate-/r/
8×flip3-- flip-- div-inv
7×cbrt-undiv div-exp
6×associate-/l*
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod associate-/l/ add-log-exp
1×div-sub
Counts
2 → 118
Calls
2 calls:
30.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
22.0ms
(/ (* y 3.0) (- 3.0 x))

series97.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
49.0ms
(/ (* y 3.0) (- 3.0 x))

simplify1.3s

Counts
124 → 124
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02272246
16172171
223122035
done50002013

prune366.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.1b
(/ (- 3.0 x) (cbrt 3.0))
0.2b
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
0.3b
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
173×times-frac
157×add-sqr-sqrt
130×*-un-lft-identity
78×add-cube-cbrt
61×add-exp-log
43×add-cbrt-cube
36×cbrt-prod
34×associate-*r*
29×associate-/l*
26×distribute-lft-out-- difference-of-squares
25×cbrt-undiv div-exp
23×associate-*l*
16×prod-exp cbrt-unprod
10×associate-/r*
9×unswap-sqr
8×div-inv
6×pow1
5×associate-/l/
4×div-sub add-log-exp
3×frac-2neg clear-num
2×flip3-- flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 251
Calls
4 calls:
19.0ms
(/ (- 1.0 x) y)
19.0ms
(/ (- 3.0 x) (cbrt 3.0))
49.0ms
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
131.0ms
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

series563.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ (- 1.0 x) y)
113.0ms
(/ (- 3.0 x) (cbrt 3.0))
238.0ms
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
157.0ms
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

simplify2.2s

Counts
263 → 263
Iterations

Useful iterations: done (2.2s)

IterNodesCost
03324563
19494274
234933725
done50003602

prune875.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes66.0ms

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

sample1.1s

Algorithm
intervals
Results
702.0ms10603×body80valid