Details

sample36.0ms

Algorithm

intervals

Results

17.0ms

357×

body

valid

simplify604.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
7.5b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite89.0ms

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:

51.0ms	(* (- 1.0 x) (- 3.0 x))
36.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series81.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* (- 1.0 x) (- 3.0 x))
57.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify965.0ms

Counts: 69 → 69

prune209.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite134.0ms

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:

25.0ms	(/ (- 3.0 x) 3.0)
21.0ms	(/ (- 1.0 x) y)
78.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series149.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ (- 3.0 x) 3.0)
36.0ms	(/ (- 1.0 x) y)
56.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify920.0ms

Counts: 147 → 147

prune334.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

293×	`times-frac`
237×	`add-sqr-sqrt`
208×	`*-un-lft-identity`
140×	`add-cube-cbrt`
68×	`associate-r`
64×	`add-exp-log`
34×	`add-cbrt-cube`
32×	`distribute-lft-out--` `difference-of-squares`
30×	`div-exp`
29×	`associate-/r*`
19×	`associate-l`
18×	`associate-/r/`
14×	`cbrt-undiv` `prod-exp`
12×	`div-inv`
11×	`associate-/l*`
10×	`unswap-sqr`
9×	`flip3--` `flip--`
7×	`pow1`
6×	`rec-exp` `1-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`frac-times` `pow-flip` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 313

Calls

4 calls:

19.0ms	(/ 3.0 (- 3.0 x))
26.0ms	(/ (- 1.0 x) y)
21.0ms	(/ 1 (/ 3.0 (- 3.0 x)))
91.0ms	(* (/ (- 1.0 x) y) (/ 1 (/ 3.0 (- 3.0 x))))

series214.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 3.0 (- 3.0 x))
48.0ms	(/ (- 1.0 x) y)
57.0ms	(/ 1 (/ 3.0 (- 3.0 x)))
76.0ms	(* (/ (- 1.0 x) y) (/ 1 (/ 3.0 (- 3.0 x))))

simplify601.0ms

Counts: 325 → 325

prune796.0ms

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))
0.3b	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
0.3b	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))

rewrite178.0ms

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:

18.0ms	(/ (- 1.0 x) y)
18.0ms	(/ (- 3.0 x) (cbrt 3.0))
96.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
32.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))

series504.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (- 1.0 x) y)
118.0ms	(/ (- 3.0 x) (cbrt 3.0))
124.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
201.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))

simplify1.6s

Counts: 263 → 263

prune924.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

20.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify564.0ms

end0.0ms

sample919.0ms

Algorithm

intervals

Results

569.0ms

10780×

body

valid