Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	53×	body	640	valid
8.0ms	139×	body	80	valid
7.0ms	44×	body	320	valid
2.0ms	20×	body	160	valid

simplify35.0ms

Counts: 1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize22.0ms

Local error

Found 3 expressions with local error:

3.1b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))

rewrite73.0ms

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

43.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
21.0ms	(/ 1 (- x 1))
8.0ms	(/ 1 (+ x 1))

series114.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

65.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
27.0ms	(/ 1 (- x 1))
22.0ms	(/ 1 (+ x 1))

simplify481.0ms

Counts: 182 → 137

prune948.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize36.0ms

Local error

Found 3 expressions with local error:

2.9b	(- (- x 1) (+ x 1))
0.4b	(/ 1 (- (* x x) (* 1 1)))
0.0b	(- (* x x) (* 1 1))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

Slowest

52.0ms	(- (- x 1) (+ x 1))
12.0ms	(/ 1 (- (* x x) (* 1 1)))
7.0ms	(- (* x x) (* 1 1))

series109.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

66.0ms	(- (* x x) (* 1 1))
34.0ms	(/ 1 (- (* x x) (* 1 1)))
9.0ms	(- (- x 1) (+ x 1))

simplify558.0ms

Counts: 112 → 90

prune696.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize52.0ms

Local error

Found 4 expressions with local error:

9.6b	(cbrt (/ (/ (/ 1 (- (* x x) 1)) (- (* x x) 1)) (- (* x x) 1)))
2.9b	(- (- x 1) (+ x 1))
0.4b	(/ 1 (- (* x x) 1))
0.1b	(/ (/ 1 (- (* x x) 1)) (- (* x x) 1))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

2700×	`times-frac`
1235×	`*-un-lft-identity`
1225×	`add-sqr-sqrt`
906×	`cbrt-prod`
905×	`difference-of-squares`
771×	`add-cube-cbrt`
452×	`difference-of-sqr-1`
104×	`associate-/r/`
55×	`flip3--` `flip--`
52×	`div-inv`
27×	`associate-/l*`
17×	`add-exp-log`
16×	`add-log-exp`
12×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`pow1` `div-exp`
6×	`diff-log` `distribute-lft-out--`
4×	`cbrt-undiv` `frac-sub` `insert-posit16`
2×	`rec-exp` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `1-exp` `associate--l+` `flip-+` `pow-flip` `distribute-lft-out` `inv-pow` `pow-div`
1×	`associate--l-` `cbrt-div` `pow1/3` `associate--r+` `associate-/l/`

Counts

4 → 1187

Calls

4 calls:

Slowest

59.0ms	(/ (/ 1 (- (* x x) 1)) (- (* x x) 1))
32.0ms	(- (- x 1) (+ x 1))
24.0ms	(/ 1 (- (* x x) 1))
21.0ms	(cbrt (/ (/ (/ 1 (- (* x x) 1)) (- (* x x) 1)) (- (* x x) 1)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(cbrt (/ (/ (/ 1 (- (* x x) 1)) (- (* x x) 1)) (- (* x x) 1)))
53.0ms	(/ (/ 1 (- (* x x) 1)) (- (* x x) 1))
32.0ms	(/ 1 (- (* x x) 1))
9.0ms	(- (- x 1) (+ x 1))

simplify3.6s

Counts: 2275 → 1199

prune14.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize36.0ms

Local error

Found 4 expressions with local error:

9.6b	(cbrt (/ (/ (/ 1 (- (* x x) 1)) (- (* x x) 1)) (- (* x x) 1)))
0.4b	(/ 1 (- (* x x) 1))
0.1b	(/ (/ 1 (- (* x x) 1)) (- (* x x) 1))
0.1b	(/ (/ (/ 1 (- (* x x) 1)) (- (* x x) 1)) (- (* x x) 1))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

5364×	`times-frac`
2414×	`add-sqr-sqrt` `*-un-lft-identity`
1794×	`difference-of-squares`
1517×	`add-cube-cbrt`
906×	`cbrt-prod`
897×	`difference-of-sqr-1`
204×	`associate-/r/`
177×	`associate-/l*`
102×	`flip3--` `div-inv` `flip--`
32×	`add-exp-log`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`associate-/r*`
13×	`pow1`
10×	`cbrt-undiv`
6×	`pow-div`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `pow-flip` `inv-pow`
2×	`associate-/l/`
1×	`cbrt-div` `pow1/3`

Counts

4 → 2238

Calls

4 calls:

Slowest

75.0ms	(/ (/ (/ 1 (- (* x x) 1)) (- (* x x) 1)) (- (* x x) 1))
42.0ms	(/ (/ 1 (- (* x x) 1)) (- (* x x) 1))
25.0ms	(cbrt (/ (/ (/ 1 (- (* x x) 1)) (- (* x x) 1)) (- (* x x) 1)))
22.0ms	(/ 1 (- (* x x) 1))

series189.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

57.0ms	(/ (/ (/ 1 (- (* x x) 1)) (- (* x x) 1)) (- (* x x) 1))
57.0ms	(/ (/ 1 (- (* x x) 1)) (- (* x x) 1))
44.0ms	(cbrt (/ (/ (/ 1 (- (* x x) 1)) (- (* x x) 1)) (- (* x x) 1)))
30.0ms	(/ 1 (- (* x x) 1))

simplify4.3s

Counts: 4220 → 2250

prune23.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

regimes65.0ms

Accuracy

99.3% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 5.1b

bsearch139.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

712.0ms	1935×	body	640	valid
472.0ms	4209×	body	80	valid
318.0ms	1258×	body	320	valid
96.0ms	598×	body	160	valid