Details

sample160.0ms

Algorithm

intervals

Results

105.0ms	179×	body	1280	valid
15.0ms	266×	body	80	valid
13.0ms	40×	body	640	valid
5.0ms	26×	body	320	valid
1.0ms	5×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	26	8
3	40	8
4	56	8
5	62	8
6	71	8
7	88	8
8	248	8
9	788	8
10	3132	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.6b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`add-log-exp`
5×	`fma-def`
4×	`frac-add`
3×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `expm1-log1p-u` `sub-neg` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`

Counts

2 → 65

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
102.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(- (exp x) 2.0)
93.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.0s

Counts

71 → 71

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	124	914
1	298	735
2	1173	637
done	5002	609

prune253.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
0.1b	(* 1/12 (pow x 4))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`associate-l` `prod-exp` `unswap-sqr`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 37

Calls

2 calls:

1.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
25.0ms	(* 1/12 (pow x 4))

series296.0ms

Counts

2 → 6

Calls

2 calls:

227.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
68.0ms	(* 1/12 (pow x 4))

simplify2.2s

Counts

43 → 43

Iterations

Useful iterations: 3 (522.0ms)

Iter	Nodes	Cost
0	67	403
1	134	371
2	395	345
3	2222	342
done	5000	342

prune201.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 2.0 (exp (- x)))
3.6b	(- (exp x) (- 2.0 (exp (- x))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
33×	`prod-diff`
24×	`add-cube-cbrt`
11×	`associate--r+`
9×	`add-log-exp`
7×	`distribute-lft-out--`
6×	`fma-neg`
5×	`difference-of-squares`
4×	`diff-log`
3×	`sub-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`
1×	`associate--r-`

Counts

2 → 76

Calls

2 calls:

24.0ms	(- 2.0 (exp (- x)))
60.0ms	(- (exp x) (- 2.0 (exp (- x))))

series110.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- 2.0 (exp (- x)))
87.0ms	(- (exp x) (- 2.0 (exp (- x))))

simplify1.7s

Counts

82 → 82

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	149	1666
1	348	1257
2	1534	986
done	5000	821

prune194.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp x) 2.0)
0.0b	(- (exp x) 2.0)
0.2b	(/ (- (* (- (exp x) 2.0) (- (exp x) 2.0)) (exp (* x -2))) (- (- (exp x) 2.0) (exp (- x))))
4.5b	(- (* (- (exp x) 2.0) (- (exp x) 2.0)) (exp (* x -2)))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
65×	`add-sqr-sqrt`
43×	`add-cube-cbrt`
39×	`prod-diff`
24×	`times-frac`
22×	`associate--l+`
17×	`distribute-lft-out--`
15×	`difference-of-squares`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-log-exp`
7×	`flip3--` `fma-neg` `flip--`
6×	`add-exp-log` `associate-/r*` `associate-/r/` `add-cbrt-cube`
5×	`sub-neg`
4×	`pow1` `expm1-log1p-u` `frac-sub` `log1p-expm1-u` `associate-/l*`
3×	`diff-log`
2×	`neg-sub0` `exp-neg` `exp-diff` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 154

Calls

4 calls:

23.0ms	(- (exp x) 2.0)
20.0ms	(- (exp x) 2.0)
195.0ms	(/ (- (* (- (exp x) 2.0) (- (exp x) 2.0)) (exp (* x -2))) (- (- (exp x) 2.0) (exp (- x))))
79.0ms	(- (* (- (exp x) 2.0) (- (exp x) 2.0)) (exp (* x -2)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (exp x) 2.0)
16.0ms	(- (exp x) 2.0)
213.0ms	(/ (- (* (- (exp x) 2.0) (- (exp x) 2.0)) (exp (* x -2))) (- (- (exp x) 2.0) (exp (- x))))
112.0ms	(- (* (- (exp x) 2.0) (- (exp x) 2.0)) (exp (* x -2)))

simplify1.7s

Counts

166 → 166

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	252	3840
1	621	3414
2	2648	3099
done	5001	3036

prune658.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	11	13
done	11	13

end0.0ms

sample5.7s

Algorithm

intervals

Results

4.3s	5667×	body	1280	valid
433.0ms	7984×	body	80	valid
400.0ms	1249×	body	640	valid
111.0ms	623×	body	320	valid
34.0ms	300×	body	160	valid