Details

sample481.0ms

Algorithm

intervals

Results

135.0ms	34×	body	5120	valid
130.0ms	75×	body	2560	valid
105.0ms	134×	body	1280	valid
32.0ms	64×	body	640	valid
11.0ms	32×	body	320	valid
6.0ms	47×	body	80	valid
4.0ms	16×	body	160	valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	44	13
1	147	13
2	857	12
3	5002	11

prune17.0ms

Filtered

1 candidates to 1 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: 38.7b

Counts

2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (/ k t) 2.0)
1.5b	(* (pow t 3.0) (tan k))
18.7b	(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
29.6b	(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

337×	`add-exp-log`
220×	`prod-exp`
71×	`div-exp`
65×	`add-cbrt-cube`
51×	`pow-exp`
34×	`pow-to-exp` `cbrt-unprod`
30×	`unpow-prod-down`
28×	`add-sqr-sqrt`
24×	`associate-l`
23×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
12×	`cbrt-undiv`
5×	`pow1` `associate-*r/`
4×	`associate-r` `add-log-exp` `sqr-pow`
3×	`tan-quot` `pow-unpow` `div-inv` `unswap-sqr`
2×	`*-commutative`
1×	`pow-pow` `frac-2neg` `associate-l/` `clear-num` `associate-/r` `associate-/r/` `associate-/l*`

Counts

4 → 179

Calls

4 calls:

4.0ms	(pow (/ k t) 2.0)
5.0ms	(* (pow t 3.0) (tan k))
17.0ms	(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
11.0ms	(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(pow (/ k t) 2.0)
51.0ms	(* (pow t 3.0) (tan k))
106.0ms	(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
68.0ms	(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

simplify44.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1123	2068
1	5002	1738

prune339.0ms

Filtered

191 candidates to 93 candidates (51.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	182	9	191
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	183	10	193

Merged error: 28.1b

Counts

193 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (pow t 3.0) (tan k))
13.3b	(* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k))))
18.7b	(/ (* 2.0 (* l l)) (* (* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))) (sin k)))
21.7b	(* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

1610×	`add-exp-log`
1168×	`prod-exp`
346×	`div-exp`
341×	`pow-exp`
205×	`pow-to-exp`
95×	`add-cbrt-cube`
55×	`cbrt-unprod`
41×	`associate-l`
30×	`unpow-prod-down`
28×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
15×	`cbrt-undiv`
9×	`associate-*r/`
5×	`associate-r`
4×	`tan-quot` `pow1` `add-log-exp` `sqr-pow`
3×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-l/` `clear-num` `associate-/r` `associate-/r/` `associate-/l*`

Counts

4 → 408

Calls

4 calls:

5.0ms	(* (pow t 3.0) (tan k))
15.0ms	(* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k))))
27.0ms	(/ (* 2.0 (* l l)) (* (* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))) (sin k)))
10.0ms	(* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))

series483.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (pow t 3.0) (tan k))
64.0ms	(* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k))))
107.0ms	(/ (* 2.0 (* l l)) (* (* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))) (sin k)))
261.0ms	(* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))

simplify84.0ms

Algorithm

egg-herbie

Counts

420 → 420

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1771	6487
1	5002	5612

prune368.0ms

Filtered

420 candidates to 111 candidates (73.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	418	2	420
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	420	10	430

Merged error: 28.1b

Counts

430 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
1.5b	(* (pow t 3.0) (tan k))
18.7b	(* (* 2.0 (* l l)) (/ 1 (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k))))
29.6b	(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

1162×	`add-exp-log`
901×	`prod-exp`
196×	`div-exp`
157×	`pow-exp`
105×	`pow-to-exp`
100×	`add-cbrt-cube`
72×	`rec-exp` `1-exp`
58×	`cbrt-unprod`
25×	`associate-l`
24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
17×	`unpow-prod-down`
16×	`pow1` `cbrt-undiv`
15×	`times-frac`
12×	`associate-r`
8×	`associate-*r/`
7×	`pow-prod-down`
4×	`tan-quot` `add-log-exp`
3×	`-commutative` `div-inv` `associate-/l` `unswap-sqr` `sqr-pow`
2×	`pow-flip` `associate-*l/` `associate-/r/`
1×	`frac-2neg` `clear-num` `associate-/r*` `un-div-inv` `inv-pow`

Counts

4 → 352

Calls

4 calls:

13.0ms	(/ 1 (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
5.0ms	(* (pow t 3.0) (tan k))
21.0ms	(* (* 2.0 (* l l)) (/ 1 (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k))))
10.0ms	(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(/ 1 (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
50.0ms	(* (pow t 3.0) (tan k))
104.0ms	(* (* 2.0 (* l l)) (/ 1 (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k))))
68.0ms	(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

simplify70.0ms

Algorithm

egg-herbie

Counts

364 → 364

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1502	4498
1	5001	3994

prune252.0ms

Filtered

364 candidates to 89 candidates (75.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	362	2	364
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	364	10	374

Merged error: 28.1b

Counts

374 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (pow t 3.0) (tan k))
5.6b	(* (pow k 2.0) (* (pow (/ 1 t) 2.0) (* (pow t 3.0) (tan k))))
18.7b	(* (* 2.0 (* l l)) (/ 1 (* (* (pow k 2.0) (* (pow (/ 1 t) 2.0) (* (pow t 3.0) (tan k)))) (sin k))))
42.7b	(* (pow (/ 1 t) 2.0) (* (pow t 3.0) (tan k)))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

4727×	`add-exp-log`
4131×	`prod-exp`
933×	`pow-exp`
710×	`div-exp`
561×	`pow-to-exp`
355×	`rec-exp` `1-exp`
119×	`add-cbrt-cube`
76×	`cbrt-unprod`
32×	`associate-l`
24×	`add-sqr-sqrt`
20×	`unpow-prod-down`
19×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-undiv`
13×	`pow1` `associate-r`
12×	`times-frac`
10×	`associate-*r/`
6×	`pow-prod-down`
4×	`tan-quot` `*-commutative` `add-log-exp` `sqr-pow`
3×	`unswap-sqr`
2×	`div-inv`
1×	`associate-*l/` `associate-/r/` `un-div-inv`

Counts

4 → 910

Calls

4 calls:

5.0ms	(* (pow t 3.0) (tan k))
13.0ms	(* (pow k 2.0) (* (pow (/ 1 t) 2.0) (* (pow t 3.0) (tan k))))
40.0ms	(* (* 2.0 (* l l)) (/ 1 (* (* (pow k 2.0) (* (pow (/ 1 t) 2.0) (* (pow t 3.0) (tan k)))) (sin k))))
10.0ms	(* (pow (/ 1 t) 2.0) (* (pow t 3.0) (tan k)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (pow t 3.0) (tan k))
66.0ms	(* (pow k 2.0) (* (pow (/ 1 t) 2.0) (* (pow t 3.0) (tan k))))
107.0ms	(* (* 2.0 (* l l)) (/ 1 (* (* (pow k 2.0) (* (pow (/ 1 t) 2.0) (* (pow t 3.0) (tan k)))) (sin k))))
50.0ms	(* (pow (/ 1 t) 2.0) (* (pow t 3.0) (tan k)))

simplify155.0ms

Algorithm

egg-herbie

Counts

922 → 922

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	2960	13140
1	5001	12715

prune338.0ms

Filtered

922 candidates to 106 candidates (88.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	918	4	922
Fresh	2	5	7
Picked	1	0	1
Done	0	2	2
Total	921	11	932

Merged error: 21.1b

Counts

932 → 11

regimes639.0ms

Accuracy

89% (1.4b remaining)

Error of 23.9b against oracle of 22.5b and baseline of 35.1b

bsearch148.0ms

Steps

Iters	Range		Point
10	-2.1805454529185974e-299	1.3129156994595436e-303	-5.454792876722564e-309

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	43
1	60	43

end0.0ms

sample14.9s

Algorithm

intervals

Results

4.9s	2513×	body	2560	valid
4.3s	1072×	body	5120	valid
3.2s	4025×	body	1280	valid
1.2s	2345×	body	640	valid
345.0ms	905×	body	320	valid
220.0ms	1649×	body	80	valid
98.0ms	400×	body	160	valid

Details

sample481.0ms

simplify28.0ms

prune17.0ms

localize18.0ms

rewrite47.0ms

series238.0ms

simplify44.0ms

prune339.0ms

localize20.0ms

rewrite102.0ms

series483.0ms

simplify84.0ms

prune368.0ms

localize20.0ms

rewrite81.0ms

series301.0ms

simplify70.0ms

prune252.0ms

localize22.0ms

rewrite210.0ms

series274.0ms

simplify155.0ms

prune338.0ms

regimes639.0ms

bsearch148.0ms

simplify2.0ms

end0.0ms

sample14.9s

Profiling