Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

332×

body

valid

simplify557.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize12.0ms

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))

rewrite115.0ms

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:

66.0ms	(* (- 1.0 x) (- 3.0 x))
45.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series83.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* (- 1.0 x) (- 3.0 x))
58.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify939.0ms

Counts: 69 → 69

prune214.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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))

rewrite100.0ms

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)
27.0ms	(/ (- 3.0 x) 3.0)
50.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series133.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (- 1.0 x) y)
44.0ms	(/ (- 3.0 x) 3.0)
52.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify897.0ms

Counts: 147 → 147

prune390.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
66×	`times-frac`
42×	`add-cube-cbrt`
27×	`add-exp-log`
23×	`unpow-prod-down` `associate-l`
19×	`associate-r`
14×	`distribute-lft-out--` `difference-of-squares`
12×	`add-cbrt-cube`
10×	`associate-/l*`
8×	`div-exp` `prod-exp` `unswap-sqr`
6×	`associate-/r*`
4×	`pow1` `pow-exp` `div-inv` `associate-/l/`
3×	`cbrt-undiv` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `cbrt-unprod`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 146

Calls

3 calls:

29.0ms	(/ (- 1.0 x) y)
26.0ms	(/ (- 3.0 x) 3.0)
101.0ms	(* (pow (/ (- 1.0 x) y) 1) (/ (- 3.0 x) 3.0))

series186.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- 1.0 x) y)
65.0ms	(/ (- 3.0 x) 3.0)
74.0ms	(* (pow (/ (- 1.0 x) y) 1) (/ (- 3.0 x) 3.0))

simplify979.0ms

Counts: 155 → 155

prune460.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite218.0ms

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:

18.0ms	(/ (- 1.0 x) y)
11.0ms	(/ 3.0 (- 3.0 x))
23.0ms	(/ 1 (/ 3.0 (- 3.0 x)))
135.0ms	(* (/ (- 1.0 x) y) (/ 1 (/ 3.0 (- 3.0 x))))

series185.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (- 1.0 x) y)
28.0ms	(/ 3.0 (- 3.0 x))
55.0ms	(/ 1 (/ 3.0 (- 3.0 x)))
58.0ms	(* (/ (- 1.0 x) y) (/ 1 (/ 3.0 (- 3.0 x))))

simplify616.0ms

Counts: 325 → 325

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.5s

end0.0ms

sample1.2s

Algorithm

intervals

Results

831.0ms

10591×

body

valid