Details

sample101.0ms

Algorithm

intervals

Results

48.0ms	61×	body	1280	valid
20.0ms	60×	body	640	valid
6.0ms	31×	body	320	valid
4.0ms	92×	body	80	valid
2.0ms	72×	body	80	nan
1.0ms	12×	body	160	valid

simplify12.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.9b

localize4.0ms

Local error

Found 1 expressions with local error:

4.0b	(log (+ 1.0 x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

5.0ms

(log (+ 1.0 x))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(log (+ 1.0 x))

simplify482.0ms

Counts: 18 → 18

prune50.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp` `add-log-exp`
4×	`pow1`
3×	`associate-r/` `associate-l*`
2×	`diff-log` `frac-sub` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `flip--` `flip-+` `div-inv`

Counts

2 → 126

Calls

2 calls:

86.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
57.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
64.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify980.0ms

Counts: 132 → 132

prune444.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
4.0b	(log (sqrt (+ 1.0 x)))
4.0b	(log (sqrt (+ 1.0 x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

13.0ms	(sqrt (+ 1.0 x))
19.0ms	(sqrt (+ 1.0 x))
10.0ms	(log (sqrt (+ 1.0 x)))
10.0ms	(log (sqrt (+ 1.0 x)))

series335.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sqrt (+ 1.0 x))
51.0ms	(sqrt (+ 1.0 x))
107.0ms	(log (sqrt (+ 1.0 x)))
125.0ms	(log (sqrt (+ 1.0 x)))

simplify953.0ms

Counts: 84 → 84

prune361.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
4.0b	(log (+ 1.0 x))
4.0b	(log (sqrt (+ 1.0 x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`log-prod`
8×	`add-sqr-sqrt` `sqrt-prod`
7×	`pow1` `add-cube-cbrt`
5×	`add-exp-log`
4×	`log-div` `sqrt-div` `log-pow`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `rem-log-exp`
1×	`rem-sqrt-square`

Counts

3 → 51

Calls

3 calls:

15.0ms	(sqrt (+ 1.0 x))
7.0ms	(log (+ 1.0 x))
6.0ms	(log (sqrt (+ 1.0 x)))

series262.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(sqrt (+ 1.0 x))
54.0ms	(log (+ 1.0 x))
150.0ms	(log (sqrt (+ 1.0 x)))

simplify1.3s

Counts: 60 → 60

prune244.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes119.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.9b

bsearch1.0ms

simplify675.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	2229×	body	1280	valid
556.0ms	1667×	body	640	valid
198.0ms	792×	body	320	valid
98.0ms	2848×	body	80	valid
62.0ms	2619×	body	80	nan
47.0ms	464×	body	160	valid