Details

sample162.0ms

Algorithm

intervals

Results

80.0ms	111×	body	1280	valid
29.0ms	68×	body	640	valid
15.0ms	273×	body	80	nan
12.0ms	49×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	9×	body	80	valid

simplify93.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.2b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

48.0ms	(/ (+ 1.0 x) (- 1.0 x))
12.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series188.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (+ 1.0 x) (- 1.0 x))
146.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.4s

Counts: 88 → 88

prune290.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 110

Calls

1 calls:

42.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify931.0ms

Counts: 113 → 113

prune415.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
7.3b	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
7.3b	(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

281×	`add-sqr-sqrt`
257×	`*-un-lft-identity`
200×	`times-frac`
144×	`difference-of-squares`
109×	`log-prod`
108×	`unpow-prod-down` `cube-prod`
72×	`sqr-pow`
65×	`add-cube-cbrt`
51×	`distribute-lft-out`
45×	`distribute-lft-out--`
25×	`associate-/r*`
9×	`difference-cubes` `add-exp-log`
5×	`pow1` `add-cbrt-cube`
4×	`associate-/r/` `associate-/l*`
3×	`log-div` `rem-log-exp` `add-log-exp`
2×	`flip3--` `flip3-+` `div-exp` `log-pow` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `clear-num`

Counts

3 → 276

Calls

3 calls:

79.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
29.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
23.0ms	(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series262.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
127.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
62.0ms	(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify1.2s

Counts: 285 → 285

prune850.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (+ 1.0 x)) (log (/ 1 (- (pow 1.0 3) (pow x 3)))))
1.8b	(log (/ 1 (- (pow 1.0 3) (pow x 3))))
7.2b	(log (+ 1.0 x))
7.3b	(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

209×	`add-sqr-sqrt`
173×	`log-prod`
150×	`times-frac`
133×	`*-un-lft-identity`
96×	`difference-of-squares`
81×	`associate-+r+`
72×	`unpow-prod-down` `cube-prod`
65×	`add-cube-cbrt`
48×	`sqr-pow`
30×	`distribute-lft-out--`
12×	`pow1`
11×	`add-exp-log`
9×	`log-pow`
8×	`log-div`
6×	`difference-cubes` `rem-log-exp` `distribute-lft-out`
4×	`associate-+l+` `flip3-+` `associate-/r/` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`log-rec`
2×	`associate-+l-` `flip3--` `div-exp` `flip--` `div-inv`
1×	`+-commutative` `associate-+r-` `rec-exp` `pow-flip` `1-exp` `unsub-neg` `sum-log` `inv-pow`

Counts

4 → 231

Calls

4 calls:

55.0ms	(+ (log (+ 1.0 x)) (log (/ 1 (- (pow 1.0 3) (pow x 3)))))
46.0ms	(log (/ 1 (- (pow 1.0 3) (pow x 3))))
9.0ms	(log (+ 1.0 x))
24.0ms	(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series840.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(+ (log (+ 1.0 x)) (log (/ 1 (- (pow 1.0 3) (pow x 3)))))
551.0ms	(log (/ 1 (- (pow 1.0 3) (pow x 3))))
80.0ms	(log (+ 1.0 x))
86.0ms	(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify1.3s

Counts: 243 → 243

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

regimes54.0ms

Accuracy

0% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 0.8b

bsearch0.0ms

simplify1.5s

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.5s	3417×	body	1280	valid
1.2s	2527×	body	640	valid
1.1s	7966×	body	80	nan
337.0ms	1206×	body	320	valid
93.0ms	617×	body	160	valid
16.0ms	233×	body	80	valid