Details

sample160.0ms

Algorithm

intervals

Results

69.0ms	96×	body	1280	valid
39.0ms	90×	body	640	valid
15.0ms	270×	body	80	nan
11.0ms	42×	body	320	valid
4.0ms	22×	body	160	valid
0.0ms	6×	body	80	valid

simplify101.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.9b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite101.0ms

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:

47.0ms	(/ (+ 1.0 x) (- 1.0 x))
47.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series191.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (+ 1.0 x) (- 1.0 x))
159.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.4s

Counts: 88 → 88

prune251.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 1 expressions with local error:

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

rewrite60.0ms

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:

46.0ms

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

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

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

simplify876.0ms

Counts: 113 → 113

prune463.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 x))
0.0b	(+ (log (/ 1 (- 1.0 x))) (log (+ 1.0 x)))
6.9b	(log (+ 1.0 x))
6.9b	(log (/ 1 (- 1.0 x)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
50×	`log-prod`
45×	`times-frac`
34×	`add-cube-cbrt`
21×	`associate-+l+`
14×	`add-exp-log`
12×	`pow1`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`log-pow`
6×	`log-div` `associate-/r/` `add-cbrt-cube` `distribute-lft-out`
5×	`rem-log-exp` `associate-/r*`
4×	`associate-+r+` `div-exp` `add-log-exp`
3×	`flip3--` `flip3-+` `flip--` `flip-+` `div-inv` `associate-/l*`
2×	`associate-+r-` `rec-exp` `pow-flip` `1-exp` `inv-pow`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `log-rec` `clear-num` `sum-log`

Counts

4 → 136

Calls

4 calls:

12.0ms	(/ 1 (- 1.0 x))
45.0ms	(+ (log (/ 1 (- 1.0 x))) (log (+ 1.0 x)))
9.0ms	(log (+ 1.0 x))
15.0ms	(log (/ 1 (- 1.0 x)))

series494.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ 1 (- 1.0 x))
268.0ms	(+ (log (/ 1 (- 1.0 x))) (log (+ 1.0 x)))
64.0ms	(log (+ 1.0 x))
121.0ms	(log (/ 1 (- 1.0 x)))

simplify721.0ms

Counts: 148 → 148

prune396.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

460×	`times-frac`
207×	`add-sqr-sqrt`
205×	`add-cube-cbrt` `*-un-lft-identity`
192×	`unpow-prod-down`
68×	`associate-/l*`
64×	`unpow2` `sqr-pow`
27×	`add-exp-log`
19×	`div-exp`
9×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
5×	`div-inv`
4×	`pow1`
3×	`cbrt-undiv` `associate-r` `associate-l` `associate-/r*`
2×	`associate-*r/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`

Counts

2 → 320

Calls

2 calls:

61.0ms	(/ (/ (pow x 2) (pow 1.0 2)) 2)
38.0ms	(* x (+ 2.0 (* x (/ 1.0 2.0))))

series164.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ (/ (pow x 2) (pow 1.0 2)) 2)
98.0ms	(* x (+ 2.0 (* x (/ 1.0 2.0))))

simplify778.0ms

Counts: 326 → 326

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes50.0ms

Accuracy

-0% (0.5b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.4s

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.9s	3362×	body	1280	valid
1.3s	2520×	body	640	valid
473.0ms	7844×	body	80	nan
449.0ms	1282×	body	320	valid
97.0ms	625×	body	160	valid
15.0ms	211×	body	80	valid