Details

sample109.0ms

Algorithm

intervals

Results

72.0ms	188×	body	1280	valid
12.0ms	292×	body	80	valid
7.0ms	30×	body	640	valid
4.0ms	27×	body	320	valid
1.0ms	8×	body	160	valid

simplify223.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	5
1	26	5
2	41	5
3	55	5
4	67	5
5	104	5
6	161	5
7	344	5
8	1454	5
9	5001	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.3b	(+ (- (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)
25.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series7.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify33.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	282	506
1	1008	381
2	5001	367

prune344.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 27

Calls

1 calls:

5.0ms

(* 1/12 (pow x 4))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* 1/12 (pow x 4))

simplify72.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	102	103
1	406	98
2	1841	95
3	5001	95

prune151.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.2s	5689×	body	1280	valid
350.0ms	8367×	body	80	valid
288.0ms	1229×	body	640	valid
90.0ms	584×	body	320	valid
33.0ms	332×	body	160	valid