Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	44×	body	1280	valid
6.0ms	46×	body	640	valid
4.0ms	141×	body	80	valid
1.0ms	15×	body	320	valid
1.0ms	10×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	15	10
2	22	10
3	30	10
4	53	10
5	111	10
6	270	10
7	739	10
8	2495	10
done	5000	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.8b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.4b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite46.0ms

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:

3.0ms	(+ 1.0 (exp (* -2.0 x)))
6.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
36.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series134.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ 1.0 (exp (* -2.0 x)))
35.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
79.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.0s

Counts

69 → 69

Iterations

Useful iterations: 3 (209.0ms)

Iter	Nodes	Cost
0	116	947
1	252	903
2	530	847
3	1239	838
4	3518	838
done	5000	838

prune147.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
0.4b	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
3.4b	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

388×	`times-frac`
304×	`*-un-lft-identity`
229×	`sqrt-prod`
212×	`add-sqr-sqrt`
188×	`add-cube-cbrt`
57×	`distribute-lft-out`
30×	`associate-/l*`
20×	`sqrt-div` `associate-/r/`
14×	`associate-/r*`
11×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`div-inv`
8×	`add-log-exp`
7×	`difference-of-squares`
4×	`pow1` `cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `sum-log` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 317

Calls

4 calls:

3.0ms	(+ 1.0 (exp (* -2.0 x)))
22.0ms	(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
7.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
162.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

series196.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ 1.0 (exp (* -2.0 x)))
39.0ms	(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
63.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
79.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

simplify2.6s

Counts

329 → 329

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	351	10103
1	788	8740
2	1712	7937
3	4685	7588
done	5000	7588

prune461.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

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))
0.7b	(* 5.551115123125783e-17 (pow x 4))
10.8b	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite25.0ms

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:

6.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
6.0ms	(* 0.33333333333333337 (pow x 3))
7.0ms	(* 5.551115123125783e-17 (pow x 4))
3.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
35.0ms	(* 0.33333333333333337 (pow x 3))
39.0ms	(* 5.551115123125783e-17 (pow x 4))
100.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify690.0ms

Counts

93 → 93

Iterations

Useful iterations: done (687.0ms)

Iter	Nodes	Cost
0	139	1119
1	345	995
2	1022	972
done	5000	970

prune192.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes129.0ms

Accuracy

98.5% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 29.2b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	28	65
1	37	47
done	37	47

end0.0ms

sample831.0ms

Algorithm

intervals

Results

344.0ms	1698×	body	1280	valid
167.0ms	1231×	body	640	valid
107.0ms	4170×	body	80	valid
56.0ms	605×	body	320	valid
17.0ms	296×	body	160	valid