Details

sample134.0ms

Algorithm

intervals

Results

47.0ms	64×	body	1280	valid
31.0ms	60×	body	640	valid
25.0ms	178×	body	80	valid
9.0ms	24×	body	320	valid
3.0ms	14×	body	160	valid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	48	13
1	158	13
2	903	13
3	5001	13

prune4.0ms

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: 35.0b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (/ (pow t 3.0) (* l l)) (sin k))
2.2b	(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
14.3b	(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
20.6b	(/ (pow t 3.0) (* l l))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

108×	`add-exp-log`
58×	`prod-exp`
52×	`add-cbrt-cube`
26×	`cbrt-unprod`
24×	`div-exp`
21×	`add-sqr-sqrt`
20×	`pow1`
19×	`*-un-lft-identity`
17×	`times-frac`
16×	`associate-*l/`
14×	`add-cube-cbrt`
13×	`associate-l`
11×	`associate-r`
10×	`frac-times` `unpow-prod-down` `pow-prod-down`
8×	`tan-quot` `cbrt-undiv` `pow-to-exp` `pow-exp`
7×	`associate-/l*`
6×	`associate-*r/`
4×	`flip3-+` `flip-+` `add-log-exp` `unswap-sqr` `sqr-pow`
3×	`*-commutative` `distribute-lft-out`
2×	`div-inv`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/r*`

Counts

4 → 144

Calls

4 calls:

9.0ms	(* (/ (pow t 3.0) (* l l)) (sin k))
11.0ms	(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
23.0ms	(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
6.0ms	(/ (pow t 3.0) (* l l))

series1.4s

Counts

4 → 12

Calls

4 calls:

251.0ms	(* (/ (pow t 3.0) (* l l)) (sin k))
331.0ms	(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
631.0ms	(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
179.0ms	(/ (pow t 3.0) (* l l))

simplify120.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	801	1619
1	4646	1348
2	5002	1348

prune470.0ms

Filtered

156 candidates to 93 candidates (59.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	145	11	156
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	146	11	157

Merged error: 16.3b

Counts

157 → 11

localize27.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (/ (pow (cbrt t) 3.0) l) (sin k))
2.2b	(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
8.3b	(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
14.3b	(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

304×	`add-exp-log`
184×	`prod-exp`
78×	`add-cbrt-cube`
77×	`div-exp`
50×	`add-sqr-sqrt`
49×	`times-frac`
44×	`associate-*l/` `cbrt-unprod`
42×	`*-un-lft-identity`
37×	`add-cube-cbrt`
36×	`associate-l`
34×	`frac-times`
33×	`pow-exp`
29×	`pow1`
24×	`unpow-prod-down`
22×	`pow-to-exp`
17×	`pow-prod-down`
16×	`tan-quot`
14×	`associate-*r/`
12×	`cbrt-undiv`
11×	`associate-r`
10×	`cbrt-prod`
8×	`flip3-+` `flip-+` `sqr-pow`
5×	`associate-/l*` `unswap-sqr`
4×	`add-log-exp`
3×	`associate-/r` `-commutative` `distribute-lft-out`
2×	`div-inv`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num`

Counts

4 → 229

Calls

4 calls:

11.0ms	(* (/ (pow (cbrt t) 3.0) l) (sin k))
16.0ms	(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
5.0ms	(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
34.0ms	(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series1.6s

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (/ (pow (cbrt t) 3.0) l) (sin k))
371.0ms	(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
198.0ms	(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
740.0ms	(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1347	3795
1	5001	3312

prune934.0ms

Filtered

241 candidates to 150 candidates (62.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	230	11	241
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	235	17	252

Merged error: 9.9b

Counts

252 → 17

localize29.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
1.9b	(* (/ (pow (cbrt t) 3.0) l) (sin k))
2.2b	(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
14.3b	(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

1050×	`add-exp-log`
734×	`prod-exp`
255×	`div-exp`
151×	`add-cbrt-cube`
145×	`pow-to-exp` `pow-exp`
96×	`cbrt-unprod`
47×	`associate-*l/`
40×	`add-sqr-sqrt`
37×	`associate-l`
35×	`frac-times`
34×	`pow1` `times-frac`
33×	`associate-*r/`
32×	`*-un-lft-identity`
27×	`add-cube-cbrt`
20×	`unpow-prod-down` `pow-prod-down`
19×	`cbrt-undiv`
16×	`tan-quot`
12×	`associate-r`
10×	`cbrt-prod`
8×	`flip3-+` `flip-+`
5×	`unswap-sqr`
4×	`*-commutative` `add-log-exp` `sqr-pow`
3×	`distribute-lft-out`
1×	`distribute-rgt-in` `distribute-lft-in` `div-inv`

Counts

4 → 366

Calls

4 calls:

22.0ms	(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
11.0ms	(* (/ (pow (cbrt t) 3.0) l) (sin k))
24.0ms	(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
39.0ms	(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series1.7s

Counts

4 → 12

Calls

4 calls:

309.0ms	(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
247.0ms	(* (/ (pow (cbrt t) 3.0) l) (sin k))
367.0ms	(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
753.0ms	(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify96.0ms

Algorithm

egg-herbie

Counts

378 → 378

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1479	6579
1	5001	5389

prune883.0ms

Filtered

378 candidates to 138 candidates (36.5%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	366	12	378
Fresh	5	11	16
Picked	1	0	1
Done	0	0	0
Total	372	23	395

Merged error: 9.4b

Counts

395 → 23

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (cbrt t) 3.0)
0.8b	(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
1.9b	(* (/ (pow (cbrt t) 3.0) l) (sin k))
16.1b	(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

1049×	`add-exp-log`
733×	`prod-exp`
255×	`div-exp`
149×	`add-cbrt-cube`
146×	`pow-to-exp` `pow-exp`
95×	`cbrt-unprod`
41×	`add-sqr-sqrt`
36×	`associate-l`
34×	`times-frac` `associate-*r/`
33×	`pow1`
30×	`frac-times`
29×	`associate-*l/`
28×	`add-cube-cbrt` `*-un-lft-identity`
26×	`unpow-prod-down`
19×	`cbrt-undiv` `pow-prod-down`
13×	`cbrt-prod`
12×	`tan-quot`
8×	`flip3-+` `flip-+`
5×	`associate-r` `unswap-sqr` `sqr-pow`
4×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
3×	`pow-unpow` `*-commutative`
2×	`pow-pow`
1×	`pow1/3` `div-inv`

Counts

4 → 363

Calls

4 calls:

3.0ms	(pow (cbrt t) 3.0)
18.0ms	(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
11.0ms	(* (/ (pow (cbrt t) 3.0) l) (sin k))
36.0ms	(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))

series1.8s

Counts

4 → 12

Calls

4 calls:

316.0ms	(pow (cbrt t) 3.0)
314.0ms	(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
246.0ms	(* (/ (pow (cbrt t) 3.0) l) (sin k))
932.0ms	(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))

simplify88.0ms

Algorithm

egg-herbie

Counts

375 → 375

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1515	6755
1	5001	5848

prune742.0ms

Filtered

375 candidates to 134 candidates (35.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	368	7	375
Fresh	6	16	22
Picked	1	0	1
Done	0	0	0
Total	375	23	398

Merged error: 8.9b

Counts

398 → 23

Details

sample134.0ms

simplify32.0ms

prune4.0ms

localize21.0ms

rewrite59.0ms

series1.4s

simplify120.0ms

prune470.0ms

localize27.0ms

rewrite81.0ms

series1.6s

simplify69.0ms

prune934.0ms

localize29.0ms

rewrite129.0ms

series1.7s

simplify96.0ms

prune883.0ms

localize30.0ms

rewrite104.0ms

series1.8s

simplify88.0ms

prune742.0ms

regimes513.0ms

bsearch7.0ms

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