Details

sample21.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify91.0ms

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

localize12.0ms

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))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
27×	`times-frac`
18×	`difference-of-squares`
16×	`add-cube-cbrt`
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`
4×	`frac-times` `sub-neg`
3×	`associate-/r` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-r/` `associate-l/` `associate-/r/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `flip3-+` `pow-plus` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 112

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)))))))
43.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
24.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
20.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series274.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
61.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
50.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
50.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify63.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	442	1821
1	1811	1700
2	5002	1639

prune350.0ms

Filtered

124 candidates to 88 candidates (71.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	123	2	125

Merged error: 0b

Counts

125 → 2

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
0.2b	(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
2.2b	(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
2.2b	(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

658×	`times-frac`
529×	`*-un-lft-identity`
397×	`add-sqr-sqrt`
285×	`add-cube-cbrt`
104×	`distribute-lft-out`
84×	`swap-sqr`
82×	`unpow-prod-down` `cube-prod`
58×	`associate-r` `associate-l`
46×	`add-exp-log` `add-cbrt-cube`
34×	`div-inv`
33×	`difference-of-squares`
21×	`cbrt-undiv` `div-exp`
13×	`sqr-pow`
12×	`pow1` `associate-/r/`
9×	`prod-exp` `cbrt-unprod` `unswap-sqr`
8×	`add-log-exp`
6×	`flip3-+` `flip-+`
5×	`distribute-lft-out--`
3×	`pow-unpow` `pow-exp` `rem-cube-cbrt`
2×	`sub-neg` `flip3--` `diff-log` `flip--`
1×	`difference-cubes` `cube-div` `pow2` `cube-mult` `frac-times` `pow-to-exp` `pow-pow` `pow-plus` `unpow3` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 444

Calls

4 calls:

65.0ms	(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
16.0ms	(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
73.0ms	(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
4.0ms	(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

series246.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
66.0ms	(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
68.0ms	(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
62.0ms	(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

simplify107.0ms

Algorithm

egg-herbie

Counts

456 → 456

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	2139	6250
1	5001	5898

prune1.1s

Filtered

456 candidates to 236 candidates (51.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	456	0	456
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	456	2	458

Merged error: 0b

Counts

458 → 2

regimes89.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	46
1	32	46

end0.0ms

sample484.0ms

Algorithm

intervals

Results

384.0ms

8000×

body

valid