Details

sample40.0ms

Algorithm

intervals

Results

10.0ms	62×	body	640	valid
6.0ms	132×	body	80	valid
5.0ms	23×	body	1280	valid
3.0ms	24×	body	320	valid
1.0ms	15×	body	160	valid

simplify150.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
1.7b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite970.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
47×	`times-frac`
43×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
14×	`distribute-lft-out--`
13×	`distribute-lft-out`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `sub-neg` `associate-+l+` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-`

Counts

4 → 114

Calls

4 calls:

12.0ms	(/ 1.0 (- x 1.0))
12.0ms	(/ 1.0 (+ x 1.0))
77.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
865.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ 1.0 (- x 1.0))
48.0ms	(/ 1.0 (+ x 1.0))
55.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
266.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify768.0ms

Counts: 126 → 126

prune348.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 (+ (* 1.0 x) (* 2.0 (/ 1 x)))) (/ 1.0 (- x 1.0)))
0.0b	(/ 1.0 (- x 1.0))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
11×	`add-log-exp`
5×	`associate-/r*` `distribute-lft-out--`
4×	`add-exp-log` `sum-log` `add-cbrt-cube` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `associate-+l+` `flip3--` `diff-log` `frac-add` `associate-/r/` `flip--` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 57

Calls

2 calls:

201.0ms	(+ (- 1.0 (+ (* 1.0 x) (* 2.0 (/ 1 x)))) (/ 1.0 (- x 1.0)))
21.0ms	(/ 1.0 (- x 1.0))

series100.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ (- 1.0 (+ (* 1.0 x) (* 2.0 (/ 1 x)))) (/ 1.0 (- x 1.0)))
38.0ms	(/ 1.0 (- x 1.0))

simplify632.0ms

Counts: 63 → 63

prune167.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (pow x 5)) (/ 1 (pow x 3)))
0.1b	(/ 1 (pow x 7))
0.2b	(/ 1 (pow x 5))
0.5b	(/ 1 (pow x 3))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
73×	`*-un-lft-identity`
63×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`unpow-prod-down`
31×	`add-exp-log`
26×	`associate-/r*`
18×	`div-exp`
12×	`cube-prod` `sqr-pow`
10×	`add-cbrt-cube`
9×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `associate-/l*`
7×	`div-inv` `distribute-lft-out`
6×	`add-log-exp`
4×	`pow1` `cube-mult` `unpow3`
3×	`cbrt-undiv` `pow-flip` `frac-2neg` `clear-num` `inv-pow`
1×	`+-commutative` `flip3-+` `frac-add` `sum-log` `flip-+`

Counts

4 → 198

Calls

4 calls:

91.0ms	(+ (/ 1 (pow x 5)) (/ 1 (pow x 3)))
9.0ms	(/ 1 (pow x 7))
19.0ms	(/ 1 (pow x 5))
21.0ms	(/ 1 (pow x 3))

series343.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(+ (/ 1 (pow x 5)) (/ 1 (pow x 3)))
96.0ms	(/ 1 (pow x 7))
60.0ms	(/ 1 (pow x 5))
37.0ms	(/ 1 (pow x 3))

simplify959.0ms

Counts: 210 → 210

prune579.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1 (pow x 5)) (pow x (- 3)))
0.1b	(/ 1 (pow x 7))
0.2b	(/ 1 (pow x 5))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
38×	`*-un-lft-identity`
35×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`unpow-prod-down`
21×	`add-exp-log`
14×	`associate-/r*`
12×	`div-exp`
8×	`sqr-pow`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `div-inv`
2×	`cbrt-undiv` `pow-flip` `frac-2neg` `frac-add` `clear-num` `distribute-lft-out` `inv-pow`
1×	`+-commutative` `neg-sub0` `pow-neg` `flip3-+` `sum-log` `flip-+` `pow-sub`

Counts

3 → 121

Calls

3 calls:

54.0ms	(+ (/ 1 (pow x 5)) (pow x (- 3)))
17.0ms	(/ 1 (pow x 7))
12.0ms	(/ 1 (pow x 5))

series328.0ms

Counts

3 → 9

Calls

3 calls:

182.0ms	(+ (/ 1 (pow x 5)) (pow x (- 3)))
66.0ms	(/ 1 (pow x 7))
80.0ms	(/ 1 (pow x 5))

simplify721.0ms

Counts: 130 → 130

prune356.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

96.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 10.2b

bsearch1.0ms

simplify1.2s

end0.0ms

sample1.4s

Algorithm

intervals

Results

451.0ms	4094×	body	80	valid
443.0ms	1898×	body	640	valid
140.0ms	577×	body	1280	valid
129.0ms	916×	body	320	valid
51.0ms	517×	body	160	valid