Details

Time bar (total: 2.8s)

sample23.0ms

Algorithm
intervals
Results
11.0ms353×body80valid

simplify33.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize8.0ms

Local error

Found 1 expressions with local error:

6.3b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×associate-/l/
6×flip3-- flip--
4×cbrt-undiv frac-times div-exp prod-exp cbrt-unprod
2×associate-*r/ associate-*l/
1×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
29.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify44.0ms

Counts
32 → 32

prune71.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite101.0ms

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)
19.0ms
(/ (- 3.0 x) 3.0)
59.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series128.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (- 1.0 x) y)
44.0ms
(/ (- 3.0 x) 3.0)
50.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify65.0ms

Counts
147 → 147

prune292.0ms

Pruning

6 alts after pruning (5 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)))

rewrite134.0ms

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:
19.0ms
(/ (- 1.0 x) y)
33.0ms
(* (- 3.0 x) (/ 1 3.0))
76.0ms
(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))

series134.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (- 1.0 x) y)
50.0ms
(* (- 3.0 x) (/ 1 3.0))
50.0ms
(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))

simplify69.0ms

Counts
148 → 148

prune277.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
0.4b
(/ (* y 3.0) (- 3.0 x))

rewrite59.0ms

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)))
23.0ms
(/ (* y 3.0) (- 3.0 x))

series93.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
45.0ms
(/ (* y 3.0) (- 3.0 x))

simplify71.0ms

Counts
124 → 124

prune258.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample743.0ms

Algorithm
intervals
Results
486.0ms10742×body80valid