Details

sample77.0ms

Algorithm

intervals

Results

53.0ms	187×	body	1280	valid
6.0ms	259×	body	80	valid
5.0ms	34×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	10×	body	160	valid

simplify89.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	26	8
3	38	8
4	49	8
5	54	8
6	63	8
7	80	8
8	99	8
9	106	8
10	110	8
11	114	8
done	114	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.2b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite29.0ms

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:

5.0ms	(- (exp x) 2.0)
23.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
59.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.0s

Counts

41 → 41

Iterations

Useful iterations: 3 (357.0ms)

Iter	Nodes	Cost
0	93	511
1	212	465
2	574	445
3	1993	432
done	5001	432

prune102.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.0b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`add-exp-log` `associate-r`
12×	`*-un-lft-identity`
11×	`add-log-exp`
10×	`add-cube-cbrt`
8×	`unpow-prod-down` `add-cbrt-cube`
6×	`associate-l` `prod-exp` `unswap-sqr`
4×	`pow1` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 75

Calls

4 calls:

3.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
13.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
6.0ms	(* 1/360 (pow x 6))
6.0ms	(* 1/12 (pow x 4))

series276.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
57.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
48.0ms	(* 1/360 (pow x 6))
41.0ms	(* 1/12 (pow x 4))

simplify969.0ms

Counts

87 → 87

Iterations

Useful iterations: done (967.0ms)

Iter	Nodes	Cost
0	133	1068
1	334	934
2	933	888
done	5000	870

prune228.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 2.0 (exp (- x)))
4.7b	(- (exp x) (- 2.0 (exp (- x))))

rewrite21.0ms

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:

4.0ms	(- 2.0 (exp (- x)))
15.0ms	(- (exp x) (- 2.0 (exp (- x))))

series75.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(- 2.0 (exp (- x)))
62.0ms	(- (exp x) (- 2.0 (exp (- x))))

simplify2.3s

Counts

39 → 39

Iterations

Useful iterations: 3 (175.0ms)

Iter	Nodes	Cost
0	82	422
1	179	393
2	427	375
3	1217	371
4	4533	371
done	5000	371

prune87.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (exp (- x)))
0.0b	(* (sqrt (- (exp x) (- 2.0 (exp (- x))))) (sqrt (- (exp x) (- 2.0 (exp (- x))))))
4.7b	(- (exp x) (- 2.0 (exp (- x))))
4.7b	(- (exp x) (- 2.0 (exp (- x))))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
42×	`sqrt-prod`
38×	`add-sqr-sqrt`
31×	`distribute-lft-out--`
19×	`pow1`
17×	`swap-sqr`
16×	`add-log-exp`
12×	`add-cube-cbrt` `sqrt-div`
9×	`flip3--` `associate-r` `associate-l` `flip--`
8×	`sqrt-pow1` `pow1/2`
7×	`diff-log` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg` `pow-prod-up`
4×	`frac-times` `associate--r+` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`associate-r/` `associate-l/` `associate--r-`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 124

Calls

4 calls:

4.0ms	(- 2.0 (exp (- x)))
121.0ms	(* (sqrt (- (exp x) (- 2.0 (exp (- x))))) (sqrt (- (exp x) (- 2.0 (exp (- x))))))
16.0ms	(- (exp x) (- 2.0 (exp (- x))))
15.0ms	(- (exp x) (- 2.0 (exp (- x))))

series191.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- 2.0 (exp (- x)))
62.0ms	(* (sqrt (- (exp x) (- 2.0 (exp (- x))))) (sqrt (- (exp x) (- 2.0 (exp (- x))))))
54.0ms	(- (exp x) (- 2.0 (exp (- x))))
60.0ms	(- (exp x) (- 2.0 (exp (- x))))

simplify1.2s

Counts

136 → 136

Iterations

Useful iterations: 3 (505.0ms)

Iter	Nodes	Cost
0	146	2577
1	275	1775
2	702	1657
3	2416	1606
done	5001	1606

prune268.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	17	15
done	17	15

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.7s	5613×	body	1280	valid
192.0ms	1213×	body	640	valid
186.0ms	8100×	body	80	valid
67.0ms	693×	body	320	valid
19.0ms	325×	body	160	valid