Details

sample21.0ms

Algorithm

intervals

Results

9.0ms	337×	body	80	valid
2.0ms	14×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	320	valid

simplify110.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* 3.0 (- 2.0 (* x 3.0)))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sub-neg` `flip3--` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `-commutative`
1×	`diff-log` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

5.0ms	(- 2.0 (* x 3.0))
25.0ms	(* 3.0 (- 2.0 (* x 3.0)))
76.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series243.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- 2.0 (* x 3.0))
71.0ms	(* 3.0 (- 2.0 (* x 3.0)))
121.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify545.0ms

Counts: 65 → 65

prune141.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.1b	(* 3.0 (* (- 2.0 (* x 3.0)) x))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`flip3--` `flip--`
2×	`associate-r/` `-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

10.0ms	(- 2.0 (* x 3.0))
35.0ms	(* (- 2.0 (* x 3.0)) x)
63.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series293.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- 2.0 (* x 3.0))
91.0ms	(* (- 2.0 (* x 3.0)) x)
148.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify389.0ms

Counts: 61 → 61

prune124.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
0.1b	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
0.2b	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
0.3b	(* (* x 3.0) (* x 3.0))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
32×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
15×	`add-sqr-sqrt`
14×	`prod-exp` `cbrt-unprod`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`times-frac`
4×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/r/` `pow-sqr` `pow-prod-up` `add-log-exp`
3×	`associate-/r` `-commutative`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `pow-plus` `flip--` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `swap-sqr` `associate-l/` `clear-num` `associate-/l` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

49.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
46.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
35.0ms	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
47.0ms	(* (* x 3.0) (* x 3.0))

series499.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
197.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
174.0ms	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
34.0ms	(* (* x 3.0) (* x 3.0))

simplify1.4s

Counts: 125 → 125

prune207.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 6.0 x) (* 9.0 (pow x 2)))
0.2b	(* 9.0 (pow x 2))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 39

Calls

2 calls:

9.0ms	(- (* 6.0 x) (* 9.0 (pow x 2)))
13.0ms	(* 9.0 (pow x 2))

series115.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(- (* 6.0 x) (* 9.0 (pow x 2)))
33.0ms	(* 9.0 (pow x 2))

simplify2.1s

Counts: 45 → 45

prune101.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes27.0ms

Accuracy

-2.3% (0.2b remaining)

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

bsearch0.0ms

simplify2.4s

end0.0ms

sample1.1s

Algorithm

intervals

Results

448.0ms	9966×	body	80	valid
343.0ms	262×	body	640	valid
51.0ms	317×	body	1280	valid
13.0ms	141×	body	320	valid
4.0ms	67×	body	160	valid