Details

sample66.0ms

Algorithm

intervals

Results

31.0ms	106×	body	1280	valid
14.0ms	86×	body	640	valid
6.0ms	261×	body	80	valid
4.0ms	37×	body	320	valid
1.0ms	18×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	24	8
3	30	8
4	34	8
done	34	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize6.0ms

Local error

Found 1 expressions with local error:

5.7b	(- (exp x) (exp (- x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

7.0ms

(- (exp x) (exp (- x)))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(- (exp x) (exp (- x)))

simplify1.1s

Counts

31 → 31

Iterations

Useful iterations: 3 (255.0ms)

Iter	Nodes	Cost
0	73	547
1	156	401
2	385	308
3	1443	253
done	5001	253

prune69.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/60 (pow x 5) (* 2 x))
0.0b	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma 1/60 (pow x 5) (* 2 x))
0.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series177.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(fma 1/60 (pow x 5) (* 2 x))
55.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify579.0ms

Counts

26 → 26

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	36	358
1	60	349
2	173	307
3	759	307
done	5000	307

prune74.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
5.6b	(- (exp (+ x x)) (exp (* x -2)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
24×	`times-frac`
22×	`add-cube-cbrt`
12×	`prod-diff` `difference-of-squares`
10×	`exp-sum`
7×	`distribute-lft-out`
6×	`associate-/l*` `distribute-lft-out--`
4×	`add-exp-log` `fma-neg` `associate-/r*` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 86

Calls

2 calls:

73.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
31.0ms	(- (exp (+ x x)) (exp (* x -2)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
40.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify2.6s

Counts

92 → 92

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	166	2285
1	379	2016
2	1047	1772
3	4981	1645
done	5000	1645

prune232.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (+ (exp x) (exp (- x))) (- (exp (+ x x)) (exp (* x -2)))))
0.3b	(/ (+ (exp x) (exp (- x))) (- (exp (+ x x)) (exp (* x -2))))
5.6b	(- (exp (+ x x)) (exp (* x -2)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
204×	`*-un-lft-identity`
164×	`add-sqr-sqrt`
98×	`add-cube-cbrt`
44×	`difference-of-squares`
36×	`associate-/r*`
31×	`distribute-lft-out`
26×	`exp-sum`
22×	`distribute-lft-out--`
16×	`add-exp-log`
12×	`prod-diff`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv` `fma-neg`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `pow-flip` `flip3-+` `diff-log` `flip-+` `inv-pow`

Counts

3 → 231

Calls

3 calls:

49.0ms	(/ 1 (/ (+ (exp x) (exp (- x))) (- (exp (+ x x)) (exp (* x -2)))))
46.0ms	(/ (+ (exp x) (exp (- x))) (- (exp (+ x x)) (exp (* x -2))))
34.0ms	(- (exp (+ x x)) (exp (* x -2)))

series201.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(/ 1 (/ (+ (exp x) (exp (- x))) (- (exp (+ x x)) (exp (* x -2)))))
81.0ms	(/ (+ (exp x) (exp (- x))) (- (exp (+ x x)) (exp (* x -2))))
43.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify1.2s

Counts

240 → 240

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	322	6961
1	699	6187
2	1670	5602
done	5002	5525

prune451.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	14	15
done	14	15

end0.0ms

sample1.9s

Algorithm

intervals

Results

930.0ms	3336×	body	1280	valid
408.0ms	2470×	body	640	valid
200.0ms	8206×	body	80	valid
127.0ms	1249×	body	320	valid
42.0ms	683×	body	160	valid