Details

sample47.0ms

Algorithm

intervals

Results

16.0ms	53×	body	1280	valid
7.0ms	37×	body	640	valid
5.0ms	126×	body	80	valid
4.0ms	31×	body	320	valid
1.0ms	9×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	15	10
2	22	10
3	30	10
4	53	10
5	115	10
6	270	10
7	776	10
8	2948	10
done	5001	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

29.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
129.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series143.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
100.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.8s

Counts

54 → 54

Iterations

Useful iterations: 3 (330.0ms)

Iter	Nodes	Cost
0	103	791
1	221	754
2	482	712
3	1122	705
4	3265	705
done	5000	705

prune159.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(exp (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
0.0b	(log (exp (/ 2.0 (+ 1.0 (exp (* -2.0 x))))))
2.8b	(- (log (exp (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))) 1.0)

rewrite409.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
36×	`exp-prod` `times-frac`
33×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
20×	`log-pow`
10×	`distribute-lft-out`
6×	`pow1` `add-exp-log` `log-prod` `associate-/r/` `add-cbrt-cube` `add-log-exp`
4×	`associate-/r*`
3×	`flip3-+` `associate--l+` `flip-+` `div-inv` `associate-/l*`
2×	`distribute-lft-out--`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `clear-num` `flip--` `rem-exp-log` `difference-of-squares`

Counts

4 → 107

Calls

4 calls:

17.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
31.0ms	(exp (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
49.0ms	(log (exp (/ 2.0 (+ 1.0 (exp (* -2.0 x))))))
308.0ms	(- (log (exp (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))) 1.0)

series320.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
92.0ms	(exp (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
71.0ms	(log (exp (/ 2.0 (+ 1.0 (exp (* -2.0 x))))))
109.0ms	(- (log (exp (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))) 1.0)

simplify2.9s

Counts

119 → 119

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	161	1605
1	298	1415
2	601	1343
3	1298	1333
4	3567	1329
done	5000	1329

prune398.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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))
0.2b	(* 5.551115123125783e-17 (pow x 4))
9.0b	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite53.0ms

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))))
12.0ms	(* 0.33333333333333337 (pow x 3))
11.0ms	(* 5.551115123125783e-17 (pow x 4))
9.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series315.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
62.0ms	(* 0.33333333333333337 (pow x 3))
51.0ms	(* 5.551115123125783e-17 (pow x 4))
117.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify5.1s

Counts

93 → 93

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	139	1119
1	342	995
2	1057	942
3	4965	938
done	5000	938

prune276.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes275.0ms

Accuracy

99.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 29.0b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	28	51
1	37	40
done	37	40

end0.0ms

sample1.4s

Algorithm

intervals

Results

512.0ms	1659×	body	1280	valid
265.0ms	1275×	body	640	valid
162.0ms	4134×	body	80	valid
91.0ms	621×	body	320	valid
27.0ms	311×	body	160	valid