Details

sample139.0ms

Algorithm

intervals

Results

91.0ms	179×	body	1280	valid
12.0ms	266×	body	80	valid
11.0ms	40×	body	640	valid
4.0ms	26×	body	320	valid
1.0ms	5×	body	160	valid

simplify2.8s

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)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `add-cube-cbrt` `sub-neg` `associate-+l+` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

11.0ms	(- (exp x) 2.0)
73.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(- (exp x) 2.0)
85.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify593.0ms

Counts

41 → 41

Iterations

Useful iterations: done (591.0ms)

Iter	Nodes	Cost
0	93	511
1	215	465
2	832	445
done	5001	433

prune137.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`associate-r`
12×	`add-exp-log`
8×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
6×	`associate-l` `prod-exp` `add-cbrt-cube` `unswap-sqr`
4×	`sqr-pow`
2×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

2 → 50

Calls

2 calls:

26.0ms	(* 1/360 (pow x 6))
26.0ms	(* 1/12 (pow x 4))

series150.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* 1/360 (pow x 6))
81.0ms	(* 1/12 (pow x 4))

simplify3.1s

Counts

56 → 56

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	93	442
1	205	386
2	600	372
3	3441	369
done	5001	358

prune206.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
6×	`add-sqr-sqrt`
4×	`diff-log` `distribute-lft-out--`
3×	`sub-neg`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--` `associate--r+` `difference-of-squares`
1×	`associate--r-`

Counts

2 → 33

Calls

2 calls:

10.0ms	(- 2.0 (exp (- x)))
49.0ms	(- (exp x) (- 2.0 (exp (- x))))

series142.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(- 2.0 (exp (- x)))
118.0ms	(- (exp x) (- 2.0 (exp (- x))))

simplify2.7s

Counts

39 → 39

Iterations

Useful iterations: 3 (708.0ms)

Iter	Nodes	Cost
0	82	422
1	191	393
2	644	375
3	3911	371
done	5001	371

prune106.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

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)))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
24×	`times-frac`
17×	`distribute-lft-out--`
16×	`add-cube-cbrt`
15×	`difference-of-squares`
10×	`add-log-exp`
7×	`flip3--` `flip--`
6×	`add-exp-log` `associate-/r*` `associate-/r/` `add-cbrt-cube`
5×	`sub-neg`
4×	`pow1` `associate--l+` `frac-sub` `associate-/l*`
3×	`diff-log`
2×	`neg-sub0` `distribute-rgt-in` `exp-neg` `distribute-lft-in` `exp-diff` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 100

Calls

4 calls:

21.0ms	(- (exp x) 2.0)
20.0ms	(- (exp x) 2.0)
208.0ms	(/ (- (* (- (exp x) 2.0) (- (exp x) 2.0)) (exp (* x -2))) (- (- (exp x) 2.0) (exp (- x))))
58.0ms	(- (* (- (exp x) 2.0) (- (exp x) 2.0)) (exp (* x -2)))

series369.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- (exp x) 2.0)
20.0ms	(- (exp x) 2.0)
211.0ms	(/ (- (* (- (exp x) 2.0) (- (exp x) 2.0)) (exp (* x -2))) (- (- (exp x) 2.0) (exp (- x))))
123.0ms	(- (* (- (exp x) 2.0) (- (exp x) 2.0)) (exp (* x -2)))

simplify1.4s

Counts

112 → 112

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	194	2744
1	485	2631
2	1964	2485
done	5002	2467

prune369.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes17.0ms

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	13	15
1	17	15
done	17	15

end0.0ms

sample5.5s

Algorithm

intervals

Results

4.0s	5667×	body	1280	valid
420.0ms	7984×	body	80	valid
397.0ms	1249×	body	640	valid
101.0ms	623×	body	320	valid
72.0ms	300×	body	160	valid