Details

Time bar (total: 14.6s)

sample22.0ms

Algorithm
intervals
Results
12.0ms335×body80valid

simplify3.9s

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: 8.3b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
7.7b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite96.0ms

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:
45.0ms
(* (- 1.0 x) (- 3.0 x))
48.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series113.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- 1.0 x) (- 3.0 x))
82.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.3s

Counts
69 → 69
Iterations

Useful iterations: 2 (357.0ms)

IterNodesCost
0136998
1406961
22048821
done5001821

prune219.0ms

Pruning

4 alts after pruning (4 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))

rewrite130.0ms

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:
18.0ms
(/ (- 3.0 x) 3.0)
31.0ms
(/ (- 1.0 x) y)
75.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series196.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(/ (- 3.0 x) 3.0)
59.0ms
(/ (- 1.0 x) y)
62.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.4s

Counts
147 → 147
Iterations

Useful iterations: 2 (414.0ms)

IterNodesCost
02021815
15461751
217731580
done50001580

prune393.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
178×add-sqr-sqrt
169×*-un-lft-identity
117×add-cube-cbrt
61×associate-*r*
26×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-exp-log add-cbrt-cube
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1 associate-*l*
3×flip3-- div-sub prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num
1×associate-*r/ pow-prod-down *-commutative
Counts
3 → 222
Calls
3 calls:
31.0ms
(/ (- 3.0 x) 3.0)
40.0ms
(/ (/ (- 3.0 x) 3.0) y)
95.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series198.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- 3.0 x) 3.0)
69.0ms
(/ (/ (- 3.0 x) 3.0) y)
80.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify2.1s

Counts
231 → 231
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
03113373
17703185
229062992
done50002992

prune780.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
49×add-exp-log
47×*-un-lft-identity
41×times-frac
31×add-cbrt-cube
30×add-cube-cbrt
24×associate-*l*
22×prod-exp
14×associate-*r*
12×frac-times div-exp cbrt-unprod
10×pow1
9×associate-*r/
8×distribute-lft-out-- difference-of-squares
7×cbrt-undiv flip3-- associate-*l/ flip--
5×associate-/l*
4×pow-prod-down
3×rec-exp 1-exp associate-/r* un-div-inv div-inv add-log-exp unswap-sqr
2×*-commutative associate-/l/
1×frac-2neg div-sub clear-num
Counts
3 → 139
Calls
3 calls:
25.0ms
(/ (- 1.0 x) y)
38.0ms
(* (- 3.0 x) (/ 1 3.0))
86.0ms
(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))

series224.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(/ (- 1.0 x) y)
77.0ms
(* (- 3.0 x) (/ 1 3.0))
83.0ms
(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))

simplify1.6s

Counts
148 → 148
Iterations

Useful iterations: 2 (515.0ms)

IterNodesCost
02281999
16011728
220441472
done50011472

prune394.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes46.0ms

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: 0 (0.0ms)

IterNodesCost
0911
11011
done1011

end0.0ms

sample1.1s

Algorithm
intervals
Results
782.0ms10659×body80valid