Details

Time bar (total: 9.7s)

sample26.0ms

Algorithm
intervals
Results
13.0ms353×body80valid

simplify526.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize8.0ms

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))

rewrite81.0ms

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:
41.0ms
(* (- 1.0 x) (- 3.0 x))
37.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series76.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* (- 1.0 x) (- 3.0 x))
52.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify783.0ms

Counts
69 → 69

prune164.0ms

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

rewrite137.0ms

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:
30.0ms
(/ (- 1.0 x) y)
27.0ms
(/ (- 3.0 x) 3.0)
70.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series142.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (- 1.0 x) y)
41.0ms
(/ (- 3.0 x) 3.0)
58.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify893.0ms

Counts
147 → 147

prune406.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

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)))

rewrite244.0ms

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:
21.0ms
(/ (- 1.0 x) y)
19.0ms
(/ (- 3.0 x) (cbrt 3.0))
39.0ms
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
143.0ms
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

series466.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (- 1.0 x) y)
89.0ms
(/ (- 3.0 x) (cbrt 3.0))
191.0ms
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
151.0ms
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

simplify1.5s

Counts
263 → 263

prune811.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.3b
(* (/ (- 1.0 x) y) (- 3.0 x))
0.4b
(* (* (/ (- 1.0 x) y) (- 3.0 x)) (/ 1 3.0))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
49×add-exp-log
46×*-un-lft-identity
40×times-frac
31×add-cbrt-cube
30×add-cube-cbrt
22×prod-exp
20×associate-*l*
18×associate-*r*
12×div-exp cbrt-unprod
11×frac-times
10×pow1
8×associate-*l/ distribute-lft-out-- difference-of-squares
7×cbrt-undiv flip3-- associate-*r/ flip--
5×associate-/l*
4×pow-prod-down
3×rec-exp 1-exp associate-/r* div-inv add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in *-commutative associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num un-div-inv
Counts
3 → 140
Calls
3 calls:
23.0ms
(/ (- 1.0 x) y)
58.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))
85.0ms
(* (* (/ (- 1.0 x) y) (- 3.0 x)) (/ 1 3.0))

series184.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- 1.0 x) y)
70.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))
65.0ms
(* (* (/ (- 1.0 x) y) (- 3.0 x)) (/ 1 3.0))

simplify1.0s

Counts
149 → 149

prune386.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify597.0ms

end0.0ms

sample961.0ms

Algorithm
intervals
Results
608.0ms10780×body80valid