Details

sample37.0ms

Algorithm

intervals

Results

14.0ms	68×	body	640	valid
7.0ms	126×	body	80	valid
6.0ms	41×	body	320	valid
2.0ms	21×	body	160	valid

simplify37.0ms

Counts: 1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize27.0ms

Local error

Found 3 expressions with local error:

3.6b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b	(/ 1 (+ x 1))
0.0b	(/ 1 (- x 1))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
69×	`times-frac`
32×	`add-cube-cbrt`
27×	`distribute-lft-out--`
17×	`difference-of-squares`
11×	`associate-/r*` `add-exp-log`
10×	`distribute-lft-out`
7×	`add-cbrt-cube`
6×	`associate-/r/` `div-inv` `associate-/l*`
5×	`pow1` `add-log-exp`
4×	`difference-of-sqr-1` `div-exp`
3×	`insert-posit16` `flip--`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip-+` `pow-flip` `inv-pow`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 128

Calls

3 calls:

Slowest

69.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
22.0ms	(/ 1 (+ x 1))
8.0ms	(/ 1 (- x 1))

series119.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

73.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
25.0ms	(/ 1 (- x 1))
22.0ms	(/ 1 (+ x 1))

simplify959.0ms

Counts: 137 → 137

prune857.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 3 expressions with local error:

2.4b	(+ x (- -2 x))
0.0b	(/ (+ x (- -2 x)) (+ (* x x) -1))
0.0b	(+ (* x x) -1)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
20×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-log-exp`
7×	`difference-of-sqr--1`
6×	`distribute-lft-out--`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`associate-/r*` `flip3-+` `flip-+`
3×	`pow1` `sum-log` `insert-posit16`
2×	`+-commutative` `associate-+r+` `associate-+r-` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 78

Calls

3 calls:

Slowest

40.0ms	(/ (+ x (- -2 x)) (+ (* x x) -1))
10.0ms	(+ x (- -2 x))
7.0ms	(+ (* x x) -1)

series109.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

68.0ms	(+ (* x x) -1)
33.0ms	(/ (+ x (- -2 x)) (+ (* x x) -1))
8.0ms	(+ x (- -2 x))

simplify1.7s

Counts: 87 → 87

prune637.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ -2 (+ 1 x)) (- x 1))
0.0b	(/ -2 (+ 1 x))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
207×	`*-un-lft-identity`
170×	`add-sqr-sqrt`
94×	`add-cube-cbrt`
38×	`difference-of-squares`
28×	`distribute-lft-out`
21×	`associate-/l*`
20×	`associate-/r/`
19×	`difference-of-sqr-1` `distribute-lft-out--`
11×	`associate-/r*`
10×	`div-inv`
9×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 203

Calls

2 calls:

Slowest

38.0ms	(/ (/ -2 (+ 1 x)) (- x 1))
13.0ms	(/ -2 (+ 1 x))

series81.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

60.0ms	(/ (/ -2 (+ 1 x)) (- x 1))
22.0ms	(/ -2 (+ 1 x))

simplify672.0ms

Counts: 209 → 209

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ -2 (+ (* x x) -1))
0.0b	(+ (* x x) -1)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`difference-of-sqr--1`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 47

Calls

2 calls:

Slowest

12.0ms	(/ -2 (+ (* x x) -1))
6.0ms	(+ (* x x) -1)

series129.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

78.0ms	(+ (* x x) -1)
51.0ms	(/ -2 (+ (* x x) -1))

simplify761.0ms

Counts: 53 → 53

prune426.0ms

Pruning

5 alts after pruning (3 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

bsearch2.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	1967×	body	640	valid
435.0ms	1247×	body	320	valid
414.0ms	4135×	body	80	valid
109.0ms	651×	body	160	valid