Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	14
1	37	14
2	84	14
3	252	14
4	623	14
5	1413	14
6	3814	14
7	5001	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

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 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)))))
3.5b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.5b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
20×	`difference-of-squares`
19×	`times-frac`
11×	`pow1`
10×	`add-log-exp`
9×	`flip3--` `swap-sqr` `flip--` `distribute-lft-out--`
8×	`add-cube-cbrt`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`frac-times`
3×	`diff-log`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

7.0ms	(- 1.0 (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))))
49.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
21.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
21.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series297.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(- 1.0 (/ 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)))))
46.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
51.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify59.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	403	1603
1	1583	1471
2	5002	1402

prune198.0ms

Filtered

110 candidates to 76 candidates (69.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	109	2	111

Merged error: 0b

Counts

111 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (* (+ (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
0.2b	(* (+ (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
3.4b	(- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
3.5b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
32×	`frac-times`
26×	`sqrt-prod`
23×	`flip3--` `*-un-lft-identity` `flip--` `difference-of-squares`
18×	`times-frac`
16×	`associate-*r/`
14×	`associate-r`
12×	`flip3-+` `associate-l` `flip-+`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
8×	`sub-neg` `add-log-exp`
7×	`add-cube-cbrt`
6×	`distribute-lft-out--`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `*-commutative` `distribute-lft-out`
1×	`swap-sqr` `unswap-sqr`

Counts

4 → 137

Calls

4 calls:

86.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (* (+ (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
64.0ms	(* (+ (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
33.0ms	(- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
21.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series1.0s

Counts

4 → 12

Calls

4 calls:

567.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (* (+ (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
291.0ms	(* (+ (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))) (- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))
130.0ms	(- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
54.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify142.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	824	3272
1	4870	2739
2	5001	2739

prune378.0ms

Filtered

149 candidates to 111 candidates (74.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	149	2	151

Merged error: 0b

Counts

151 → 2

regimes81.0ms

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

sample389.0ms

Algorithm

intervals

Results

300.0ms

8000×

body

valid