Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	14
1	38	14
2	87	14
3	274	14
4	737	14
5	1801	14
6	5002	14

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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
0.0b	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
3.0b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.0b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

1171×	`times-frac`
1153×	`*-un-lft-identity`
851×	`add-sqr-sqrt`
795×	`add-cube-cbrt`
696×	`prod-diff`
176×	`distribute-rgt-in` `distribute-lft-in`
170×	`distribute-lft-out`
66×	`div-inv`
26×	`associate-/r/`
18×	`difference-of-squares`
13×	`flip3-+` `flip-+` `associate-/l*`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`swap-sqr`
8×	`flip3--` `flip--` `distribute-lft-out--` `add-log-exp`
7×	`associate-r` `associate-l`
6×	`fma-neg`
4×	`expm1-log1p-u` `frac-times` `sub-neg` `associate-/r*` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp`
2×	`diff-log` `associate-r/` `associate-l/`
1×	`pow2` `frac-2neg` `pow-plus` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `associate-/l/` `unswap-sqr`

Counts

4 → 879

Calls

4 calls:

13.0ms	(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
61.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
31.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
27.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series212.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
67.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
45.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
53.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify337.0ms

Algorithm

egg-herbie

Counts

891 → 891

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	1927	36161
1	5001	33972

prune1.4s

Filtered

891 candidates to 353 candidates (39.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	890	1	891
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	890	2	892

Merged error: 0.0b

Counts

892 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
0.0b	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
3.0b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
30.6b	(fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

367×	`times-frac`
350×	`*-un-lft-identity`
260×	`add-sqr-sqrt`
240×	`add-cube-cbrt`
174×	`prod-diff`
53×	`distribute-lft-out`
21×	`div-inv`
13×	`associate-/l*`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
7×	`associate-l`
6×	`pow1` `add-log-exp` `difference-of-squares`
4×	`expm1-log1p-u` `flip3-+` `associate-/r*` `flip-+` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-neg` `div-exp` `associate-r` `fma-udef`
2×	`flip3--` `associate-*l/` `flip--` `distribute-lft-out--`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`

Counts

4 → 321

Calls

4 calls:

11.0ms	(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
27.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
27.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.0ms	(fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

series326.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
165.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
49.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
71.0ms	(fma (sqrt 2.0) (sqrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

simplify108.0ms

Algorithm

egg-herbie

Counts

333 → 333

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1577	9129
1	5001	7005

prune627.0ms

Filtered

333 candidates to 179 candidates (53.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	333	0	333
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	333	2	335

Merged error: 0.0b

Counts

335 → 2

regimes74.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	14
1	14	14

end0.0ms

sample384.0ms

Algorithm

intervals

Results

294.0ms

8000×

body

valid