Details

Time bar (total: 12.5s)

sample39.0ms

Algorithm
intervals
Results
19.0ms349×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12111
26511
317511
447511
5107311
6284811
done500211

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
4.3b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite72.0ms

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:
37.0ms
(* (- 1.0 x) (- 3.0 x))
32.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series95.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (- 1.0 x) (- 3.0 x))
70.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.1s

Counts
69 → 69
Iterations

Useful iterations: 2 (366.0ms)

IterNodesCost
0136998
1406961
22048821
done5001821

prune202.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite160.0ms

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:
17.0ms
(/ (- 1.0 x) y)
30.0ms
(/ (- 3.0 x) 3.0)
106.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series162.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ (- 1.0 x) y)
45.0ms
(/ (- 3.0 x) 3.0)
60.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.4s

Counts
147 → 147
Iterations

Useful iterations: 2 (416.0ms)

IterNodesCost
02021815
15461751
217731580
done50001580

prune393.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
70×*-un-lft-identity
66×times-frac
42×add-cube-cbrt
27×add-exp-log
23×unpow-prod-down associate-*l*
19×associate-*r*
14×distribute-lft-out-- difference-of-squares
12×add-cbrt-cube
10×associate-/l*
8×div-exp prod-exp unswap-sqr
6×associate-/r*
4×pow1 pow-exp div-inv associate-/l/
3×cbrt-undiv add-log-exp sqr-pow
2×pow-to-exp flip3-- frac-2neg div-sub clear-num flip-- cbrt-unprod
1×associate-*r/ pow-prod-down *-commutative
Counts
3 → 146
Calls
3 calls:
18.0ms
(/ (- 1.0 x) y)
19.0ms
(/ (- 3.0 x) 3.0)
85.0ms
(* (pow (/ (- 1.0 x) y) 1) (/ (- 3.0 x) 3.0))

series183.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ (- 1.0 x) y)
59.0ms
(/ (- 3.0 x) 3.0)
62.0ms
(* (pow (/ (- 1.0 x) y) 1) (/ (- 3.0 x) 3.0))

simplify1.3s

Counts
155 → 155
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02312106
15551854
219811729
done50001727

prune430.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
109×add-sqr-sqrt
67×times-frac
64×*-un-lft-identity
33×difference-of-squares
30×add-cube-cbrt
28×associate-*r*
18×add-exp-log
10×add-cbrt-cube
9×associate-*l* distribute-lft-out--
8×associate-/l*
7×unpow-prod-down
6×prod-exp unswap-sqr
5×add-log-exp
4×pow1 div-exp
3×associate-/r* sqr-pow
2×cbrt-undiv pow-to-exp flip3-- pow-exp flip-- cbrt-unprod div-inv associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 128
Calls
3 calls:
13.0ms
(- 1 (/ x 3.0))
61.0ms
(/ (- 1 (/ x 3.0)) y)
154.0ms
(* (pow (- 1.0 x) 1) (/ (- 1 (/ x 3.0)) y))

series206.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- 1 (/ x 3.0))
74.0ms
(/ (- 1 (/ x 3.0)) y)
68.0ms
(* (pow (- 1.0 x) 1) (/ (- 1 (/ x 3.0)) y))

simplify1.2s

Counts
137 → 137
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01982068
14621819
215881710
done50001709

prune377.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01113
11411
done1411

end0.0ms

sample1.2s

Algorithm
intervals
Results
758.0ms10716×body80valid