Details

sample36.0ms

Algorithm

intervals

Results

20.0ms

349×

body

valid

simplify87.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
4.3b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite126.0ms

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:

74.0ms	(* (- 1.0 x) (- 3.0 x))
47.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series108.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (- 1.0 x) (- 3.0 x))
70.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify62.0ms

Counts: 69 → 69

prune213.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite141.0ms

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:

27.0ms	(/ (- 1.0 x) y)
31.0ms	(/ (- 3.0 x) 3.0)
77.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series127.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (- 1.0 x) y)
43.0ms	(/ (- 3.0 x) 3.0)
48.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify48.0ms

Counts: 147 → 147

prune414.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

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))

rewrite167.0ms

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:

18.0ms	(/ (- 3.0 x) 3.0)
24.0ms	(/ (/ (- 3.0 x) 3.0) y)
108.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series146.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- 3.0 x) 3.0)
47.0ms	(/ (/ (- 3.0 x) 3.0) y)
48.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify102.0ms

Counts: 231 → 231

prune654.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

293×	`times-frac`
237×	`add-sqr-sqrt`
208×	`*-un-lft-identity`
140×	`add-cube-cbrt`
68×	`associate-l`
64×	`add-exp-log`
34×	`add-cbrt-cube`
32×	`distribute-lft-out--` `difference-of-squares`
30×	`div-exp`
29×	`associate-/r*`
19×	`associate-r`
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/` `*-commutative` `inv-pow`

Counts

4 → 312

Calls

4 calls:

13.0ms	(/ y (- 1.0 x))
18.0ms	(/ (- 3.0 x) 3.0)
21.0ms	(/ 1 (/ y (- 1.0 x)))
139.0ms	(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))

series246.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ y (- 1.0 x))
56.0ms	(/ (- 3.0 x) 3.0)
54.0ms	(/ 1 (/ y (- 1.0 x)))
73.0ms	(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))

simplify51.0ms

Counts: 324 → 324

prune867.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify78.0ms

end0.0ms

sample932.0ms

Algorithm

intervals

Results

574.0ms

10716×

body

valid