Details

sample29.0ms

Algorithm

intervals

Results

6.0ms	185×	body	80	valid
4.0ms	29×	body	1280	valid
4.0ms	256×	pre	80	true
3.0ms	24×	body	640	valid
1.0ms	9×	body	320	valid
1.0ms	9×	body	160	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	34	6
2	52	6
3	73	6
4	123	6
5	172	6
6	224	6
7	261	6
8	323	6
9	411	6
10	532	6
11	612	6
12	654	6
13	697	6
14	922	6
15	980	6
16	1007	6
17	1027	6
18	1035	6
19	1035	6

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: 16.8b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
2.5b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
19×	`distribute-lft-out`
14×	`add-cube-cbrt`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `flip3-+` `div-sub` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3--` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `div-inv`

Counts

2 → 65

Calls

2 calls:

10.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
18.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series118.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
66.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify38.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	320	535
1	1022	510
2	5001	502

prune163.0ms

Filtered

71 candidates to 46 candidates (64.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	59	12	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	12	72

Merged error: 16.0b

Counts

72 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0)
0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.0b	(/ beta (+ (+ alpha beta) 2.0))
2.5b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
56×	`times-frac`
36×	`add-cube-cbrt`
24×	`distribute-lft-out`
13×	`associate-/r` `associate-/l` `distribute-lft-out--`
10×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`add-log-exp`
4×	`pow1` `associate-/r/` `associate-/l/`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
2×	`flip3-+` `frac-sub` `flip-+`
1×	`sub-neg` `diff-log` `div-sub`

Counts

4 → 137

Calls

4 calls:

30.0ms	(/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0)
7.0ms	(/ alpha (+ (+ alpha beta) 2.0))
7.0ms	(/ beta (+ (+ alpha beta) 2.0))
18.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series250.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0)
47.0ms	(/ alpha (+ (+ alpha beta) 2.0))
52.0ms	(/ beta (+ (+ alpha beta) 2.0))
80.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify59.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	544	1336
1	1910	1268
2	5002	1268

prune341.0ms

Filtered

149 candidates to 103 candidates (69.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	139	10	149
Fresh	8	3	11
Picked	1	0	1
Done	0	0	0
Total	148	13	161

Merged error: 3.4b

Counts

161 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ beta (+ (+ alpha beta) 2.0))
0.1b	(* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0)))
0.1b	(pow (/ alpha (+ (+ alpha beta) 2.0)) 3)
2.5b	(- (pow (/ alpha (+ (+ alpha beta) 2.0)) 3) (pow 1.0 3))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
153×	`times-frac`
139×	`add-sqr-sqrt`
102×	`distribute-lft-out`
81×	`add-cube-cbrt`
39×	`unpow-prod-down` `cube-prod` `swap-sqr`
24×	`difference-of-squares`
21×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
14×	`associate-/r/`
12×	`pow1`
11×	`sqr-pow`
7×	`flip3-+` `flip-+` `div-inv`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
5×	`associate-/r*` `distribute-lft-out--`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow-unpow` `associate-/l*`
2×	`pow-exp` `rem-cube-cbrt`
1×	`difference-cubes` `cube-div` `pow2` `cube-mult` `frac-times` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `frac-2neg` `pow-plus` `diff-log` `unpow3` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `flip--`

Counts

4 → 250

Calls

4 calls:

7.0ms	(/ beta (+ (+ alpha beta) 2.0))
25.0ms	(* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0)))
10.0ms	(pow (/ alpha (+ (+ alpha beta) 2.0)) 3)
42.0ms	(- (pow (/ alpha (+ (+ alpha beta) 2.0)) 3) (pow 1.0 3))

series313.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ beta (+ (+ alpha beta) 2.0))
68.0ms	(* (/ alpha (+ (+ alpha beta) 2.0)) (/ alpha (+ (+ alpha beta) 2.0)))
72.0ms	(pow (/ alpha (+ (+ alpha beta) 2.0)) 3)
119.0ms	(- (pow (/ alpha (+ (+ alpha beta) 2.0)) 3) (pow 1.0 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

262 → 262

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	925	2341
1	5001	2046

prune776.0ms

Filtered

262 candidates to 131 candidates (50.0%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	260	2	262
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	262	13	275

Merged error: 3.3b

Counts

275 → 13

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ alpha (+ (+ alpha beta) 2.0)) 6)
0.1b	(pow (/ alpha (+ (+ alpha beta) 2.0)) 3)
0.1b	(pow (/ alpha (+ (+ alpha beta) 2.0)) 3)
2.4b	(- (pow (pow (/ alpha (+ (+ alpha beta) 2.0)) 3) 3) (pow (pow 1.0 3) 3))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

300×	`add-sqr-sqrt`
283×	`unpow-prod-down`
262×	`cube-prod`
169×	`*-un-lft-identity`
140×	`difference-of-squares`
115×	`times-frac`
75×	`sqr-pow`
52×	`add-cube-cbrt`
45×	`distribute-lft-out`
21×	`distribute-lft-out--`
13×	`add-exp-log`
10×	`associate-/r/` `add-cbrt-cube`
9×	`pow-unpow`
7×	`pow1`
6×	`pow-exp` `add-log-exp`
5×	`flip3-+` `flip-+` `div-inv`
4×	`rem-cube-cbrt`
3×	`pow-to-exp` `pow-pow` `div-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3`
1×	`difference-cubes` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 334

Calls

4 calls:

10.0ms	(pow (/ alpha (+ (+ alpha beta) 2.0)) 6)
10.0ms	(pow (/ alpha (+ (+ alpha beta) 2.0)) 3)
10.0ms	(pow (/ alpha (+ (+ alpha beta) 2.0)) 3)
133.0ms	(- (pow (pow (/ alpha (+ (+ alpha beta) 2.0)) 3) 3) (pow (pow 1.0 3) 3))

series372.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(pow (/ alpha (+ (+ alpha beta) 2.0)) 6)
72.0ms	(pow (/ alpha (+ (+ alpha beta) 2.0)) 3)
74.0ms	(pow (/ alpha (+ (+ alpha beta) 2.0)) 3)
125.0ms	(- (pow (pow (/ alpha (+ (+ alpha beta) 2.0)) 3) 3) (pow (pow 1.0 3) 3))

simplify157.0ms

Algorithm

egg-herbie

Counts

346 → 346

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	787	4366
1	3437	4183
2	5003	4089

prune762.0ms

Filtered

346 candidates to 115 candidates (33.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	343	3	346
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	346	13	359

Merged error: 3.3b

Counts

359 → 13

regimes138.0ms

Accuracy

75.3% (3.2b remaining)

Error of 6.1b against oracle of 2.9b and baseline of 15.8b

bsearch31.0ms

Steps

Iters	Range		Point
5	46345386568556.25	101317474703801.08	87740132466490.45

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	26
1	41	26

end0.0ms

sample739.0ms

Algorithm

intervals

Results

178.0ms	5833×	body	80	valid
144.0ms	8000×	pre	80	true
132.0ms	880×	body	1280	valid
87.0ms	709×	body	640	valid
34.0ms	379×	body	320	valid
12.0ms	199×	body	160	valid

Details

sample29.0ms

simplify74.0ms

prune2.0ms

localize9.0ms

rewrite30.0ms

series118.0ms

simplify38.0ms

prune163.0ms

localize10.0ms

rewrite68.0ms

series250.0ms

simplify59.0ms

prune341.0ms

localize19.0ms

rewrite99.0ms

series313.0ms

simplify55.0ms

prune776.0ms

localize30.0ms

rewrite186.0ms

series372.0ms

simplify157.0ms

prune762.0ms

regimes138.0ms

bsearch31.0ms

simplify1.0ms

end0.0ms

sample739.0ms

Profiling