Details

sample70.0ms

Algorithm

intervals

Results

31.0ms	109×	body	1280	valid
16.0ms	89×	body	640	valid
8.0ms	244×	body	80	valid
3.0ms	35×	body	320	valid
1.0ms	13×	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: 58.6b

localize6.0ms

Local error

Found 1 expressions with local error:

3.8b	(- (exp x) (exp (- x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

6.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify955.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	46	185
1	102	176
2	231	158
3	504	157
4	1591	157
done	5000	157

prune39.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1` `sum-log`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `associate-+r+` `flip3-+` `unpow3` `flip-+`

Counts

3 → 69

Calls

3 calls:

9.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms	(* 1/60 (pow x 5))
10.0ms	(* 1/3 (pow x 3))

series150.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
53.0ms	(* 1/60 (pow x 5))
36.0ms	(* 1/3 (pow x 3))

simplify2.0s

Counts

78 → 78

Iterations

Useful iterations: 3 (429.0ms)

Iter	Nodes	Cost
0	122	847
1	309	750
2	915	704
3	4449	703
done	5000	703

prune174.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`associate-r`
12×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp` `add-cbrt-cube`
4×	`cube-prod` `sqr-pow`
2×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
1×	`cube-mult` `unpow3`

Counts

2 → 56

Calls

2 calls:

5.0ms	(* 1/60 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series86.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* 1/60 (pow x 5))
35.0ms	(* 1/3 (pow x 3))

simplify1.2s

Counts

62 → 62

Iterations

Useful iterations: 3 (251.0ms)

Iter	Nodes	Cost
0	96	484
1	217	416
2	550	396
3	2156	395
done	5000	395

prune129.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	20	17
done	20	17

end0.0ms

sample2.0s

Algorithm

intervals

Results

972.0ms	3419×	body	1280	valid
418.0ms	2484×	body	640	valid
189.0ms	8144×	body	80	valid
126.0ms	1182×	body	320	valid
40.0ms	639×	body	160	valid