Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify54.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 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)))))
2.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

1084×	`*-un-lft-identity`
1083×	`times-frac`
810×	`add-sqr-sqrt`
754×	`add-cube-cbrt`
696×	`prod-diff`
176×	`distribute-rgt-in` `distribute-lft-in`
156×	`distribute-lft-out`
61×	`div-inv`
26×	`associate-/r/`
18×	`difference-of-squares`
13×	`flip3-+` `flip-+`
11×	`pow1`
9×	`swap-sqr`
8×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp`
7×	`associate-r` `associate-l`
6×	`fma-neg`
4×	`expm1-log1p-u` `frac-times` `sub-neg` `log1p-expm1-u`
3×	`associate-/r` `associate-/l`
2×	`diff-log` `associate-r/` `associate-l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 822

Calls

4 calls:

4.0ms	(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
65.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
33.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
27.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series421.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 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))))
199.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify334.0ms

Algorithm

egg-herbie

Counts

834 → 834

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	1939	35970
1	5001	33778

prune1.2s

Filtered

834 candidates to 317 candidates (38.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	833	1	834
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	833	2	835

Merged error: 0b

Counts

835 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (expm1 (log1p (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
0.5b	(log1p (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
2.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

538×	`*-un-lft-identity`
537×	`times-frac`
405×	`add-sqr-sqrt`
376×	`add-cube-cbrt`
348×	`prod-diff`
78×	`distribute-lft-out`
30×	`div-inv`
12×	`associate-/r/`
9×	`difference-of-squares`
8×	`add-log-exp`
7×	`associate-l`
6×	`pow1` `add-exp-log` `flip3-+` `fma-neg` `add-cbrt-cube` `flip-+`
5×	`expm1-log1p-u`
4×	`log1p-expm1-u`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--`
2×	`sub-neg` `diff-log` `associate-*l/`
1×	`log1p-udef` `log1p-expm1` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 427

Calls

4 calls:

24.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (expm1 (log1p (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
1.0ms	(log1p (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
27.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
31.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series556.0ms

Counts

4 → 12

Calls

4 calls:

329.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (expm1 (log1p (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
128.0ms	(log1p (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
45.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
54.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify148.0ms

Algorithm

egg-herbie

Counts

439 → 439

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1440	15923
1	5001	11936

prune785.0ms

Filtered

439 candidates to 190 candidates (43.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	439	0	439
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	439	2	441

Merged error: 0b

Counts

441 → 2

regimes78.0ms

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

sample462.0ms

Algorithm

intervals

Results

368.0ms

8000×

body

valid