Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	25
1	35	25
2	92	25
3	319	25
4	908	25
5	2311	25
6	5002	25

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.3b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

2.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

1068×	`times-frac`
1064×	`*-un-lft-identity`
780×	`add-sqr-sqrt`
744×	`add-cube-cbrt`
696×	`prod-diff`
156×	`distribute-lft-out`
60×	`div-inv`
24×	`associate-/r/`
12×	`flip3-+` `fma-neg` `flip-+` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--`

Counts

4 → 780

Calls

4 calls:

29.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
29.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
33.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
29.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
47.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
51.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
48.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify306.0ms

Algorithm

egg-herbie

Counts

792 → 792

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	1273	30716
1	4981	21876
2	5001	21868

prune1.4s

Filtered

792 candidates to 312 candidates (39.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	791	1	792
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	792	1	793

Merged error: 0.3b

Counts

793 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

2.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

1068×	`times-frac`
1064×	`*-un-lft-identity`
780×	`add-sqr-sqrt`
744×	`add-cube-cbrt`
696×	`prod-diff`
156×	`distribute-lft-out`
60×	`div-inv`
24×	`associate-/r/`
12×	`flip3-+` `fma-neg` `flip-+` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--`

Counts

4 → 780

Calls

4 calls:

29.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
32.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
29.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
29.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series209.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
47.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
52.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
58.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify302.0ms

Algorithm

egg-herbie

Counts

792 → 792

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	1273	30716
1	4981	21876
2	5001	21868

prune1.6s

Filtered

792 candidates to 312 candidates (39.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	792	0	792
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	792	1	793

Merged error: 0.3b

Counts

793 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	27
1	19	27

end0.0ms

sample394.0ms

Algorithm

intervals

Results

298.0ms

8000×

body

valid