Details

Time bar (total: 9.4s)

sample22.0ms

Algorithm
intervals
Results
12.0ms347×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12111
26511
317511
446311
5115611
6415411
done500111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
4.7b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
8×frac-times associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/
2×expm1-log1p-u sub-neg log1p-expm1-u 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 → 85
Calls
2 calls:
19.0ms
(* (- 1.0 x) (- 3.0 x))
20.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series79.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- 1.0 x) (- 3.0 x))
49.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.0s

Counts
91 → 91
Iterations

Useful iterations: 2 (189.0ms)

IterNodesCost
01881602
15031390
226801139
done50001139

prune186.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 3.0 (- 3.0 x))
0.1b
(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))
0.1b
(* y (/ 3.0 (- 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×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u 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 → 114
Calls
3 calls:
5.0ms
(/ 3.0 (- 3.0 x))
13.0ms
(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))
20.0ms
(* y (/ 3.0 (- 3.0 x)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ 3.0 (- 3.0 x))
54.0ms
(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))
45.0ms
(* y (/ 3.0 (- 3.0 x)))

simplify854.0ms

Counts
123 → 123
Iterations

Useful iterations: 2 (196.0ms)

IterNodesCost
02081511
15291437
223611277
done50011277

prune297.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
1059×times-frac
669×add-sqr-sqrt *-un-lft-identity
401×add-cube-cbrt
134×distribute-lft-out-- difference-of-squares
45×div-inv
43×associate-/r/
29×associate-/r*
27×associate-/l*
22×flip3-- flip--
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
3×pow1 expm1-log1p-u frac-2neg div-sub clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
3 → 541
Calls
3 calls:
10.0ms
(/ (- 1.0 x) y)
5.0ms
(/ 3.0 (- 3.0 x))
29.0ms
(/ (/ (- 1.0 x) y) (/ 3.0 (- 3.0 x)))

series121.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (- 1.0 x) y)
34.0ms
(/ 3.0 (- 3.0 x))
49.0ms
(/ (/ (- 1.0 x) y) (/ 3.0 (- 3.0 x)))

simplify704.0ms

Counts
550 → 550
Iterations

Useful iterations: done (680.0ms)

IterNodesCost
076113442
1226312611
done500012609

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 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))

rewrite55.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 144
Calls
3 calls:
8.0ms
(/ (- 3.0 x) 3.0)
9.0ms
(/ (- 1.0 x) y)
33.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series121.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (- 3.0 x) 3.0)
38.0ms
(/ (- 1.0 x) y)
45.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify805.0ms

Counts
153 → 153
Iterations

Useful iterations: 2 (183.0ms)

IterNodesCost
02081863
15731794
223031623
done50001623

prune310.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes39.0ms

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

sample432.0ms

Algorithm
intervals
Results
262.0ms10674×body80valid