Details

sample80.0ms

Algorithm

intervals

Results

56.0ms	190×	body	1280	valid
6.0ms	41×	body	640	valid
5.0ms	236×	body	80	valid
1.0ms	13×	body	320	valid
1.0ms	10×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	26	8
3	40	8
4	52	8
5	62	8
6	87	8
7	146	8
8	241	8
9	773	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
2.6b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite32.0ms

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:

5.0ms	(- (exp x) 2.0)
24.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series74.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
60.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify2.3s

Counts

71 → 71

Iterations

Useful iterations: 3 (628.0ms)

Iter	Nodes	Cost
0	124	914
1	277	729
2	815	619
3	4125	557
done	5000	557

prune155.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize9.0ms

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))

rewrite7.0ms

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:

0.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
5.0ms	(* 1/12 (pow x 4))

series166.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
40.0ms	(* 1/12 (pow x 4))

simplify1.2s

Counts

43 → 43

Iterations

Useful iterations: 3 (327.0ms)

Iter	Nodes	Cost
0	67	403
1	126	371
2	379	345
3	1803	342
done	5001	342

prune104.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.7s	5706×	body	1280	valid
181.0ms	1192×	body	640	valid
173.0ms	8047×	body	80	valid
57.0ms	602×	body	320	valid
19.0ms	321×	body	160	valid