Details

sample48.0ms

Algorithm

intervals

Results

16.0ms	64×	body	1280	valid
12.0ms	47×	body	640	valid
4.0ms	122×	body	80	valid
2.0ms	17×	body	320	valid
0.0ms	6×	body	160	valid

simplify654.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(+ 1.0 (exp (* -2.0 x)))
1.9b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

16.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
11.0ms	(+ 1.0 (exp (* -2.0 x)))
113.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series227.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
37.0ms	(+ 1.0 (exp (* -2.0 x)))
121.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify1.1s

Counts: 69 → 69

prune232.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
0.1b	(* 0.33333333333333337 (pow x 3))
0.4b	(* 5.551115123125783e-17 (pow x 4))
7.4b	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sqr-pow`
2×	`pow-to-exp` `diff-log` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `flip3-+` `unpow3` `flip--` `flip-+` `associate--r+`

Counts

4 → 81

Calls

4 calls:

18.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
34.0ms	(* 0.33333333333333337 (pow x 3))
25.0ms	(* 5.551115123125783e-17 (pow x 4))
21.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series369.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
49.0ms	(* 0.33333333333333337 (pow x 3))
79.0ms	(* 5.551115123125783e-17 (pow x 4))
170.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify804.0ms

Counts: 93 → 93

prune303.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp (* -2.0 x))))
0.0b	(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
0.5b	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
1.9b	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite552.0ms

Algorithm

rewrite-expression-head

Rules

388×	`times-frac`
305×	`*-un-lft-identity`
233×	`sqrt-prod`
214×	`add-sqr-sqrt`
189×	`add-cube-cbrt`
57×	`distribute-lft-out`
30×	`associate-/l*`
22×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
11×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`div-inv`
7×	`difference-of-squares`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 321

Calls

4 calls:

17.0ms	(sqrt (+ 1.0 (exp (* -2.0 x))))
63.0ms	(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
19.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
425.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

series337.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(sqrt (+ 1.0 (exp (* -2.0 x))))
47.0ms	(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
107.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
102.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

simplify1.3s

Counts: 333 → 333

prune904.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes193.0ms

Accuracy

98.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 32.1b

bsearch2.0ms

simplify1.3s

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.2s	1770×	body	1280	valid
424.0ms	1228×	body	640	valid
257.0ms	4109×	body	80	valid
104.0ms	597×	body	320	valid
64.0ms	296×	body	160	valid