Details

sample28.0ms

Algorithm

intervals

Results

6.0ms	193×	body	80	valid
5.0ms	31×	body	1280	valid
4.0ms	256×	pre	80	true
3.0ms	23×	body	640	valid
1.0ms	8×	body	320	valid
0.0ms	1×	body	160	valid

simplify65.0ms

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

prune3.0ms

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: 14.9b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
0.5b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite34.0ms

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))
22.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series19.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
11.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify35.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (27.0ms)

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

prune109.0ms

Filtered

46 candidates to 71 candidates (-54.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	60	11	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	11	72

Merged error: 14.5b

Counts

72 → 11

localize9.0ms

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	(/ beta (+ (+ alpha beta) 2.0))
0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.5b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite63.0ms

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	(/ beta (+ (+ alpha beta) 2.0))
7.0ms	(/ alpha (+ (+ alpha beta) 2.0))
13.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series37.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0)
6.0ms	(/ beta (+ (+ alpha beta) 2.0))
7.0ms	(/ alpha (+ (+ alpha beta) 2.0))
11.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify59.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (15.0ms)

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

prune215.0ms

Filtered

103 candidates to 149 candidates (-44.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	143	6	149
Fresh	10	0	10
Picked	1	0	1
Done	0	0	0
Total	154	6	160

Merged error: 1.8b

Counts

160 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ beta (+ (+ alpha beta) 2.0))
0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.4b	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
0.5b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
26×	`add-cube-cbrt`
24×	`distribute-lft-out`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`log-pow`
6×	`exp-prod` `associate-/l*` `add-log-exp`
5×	`pow1` `log-prod`
4×	`associate-/r/` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `div-exp` `exp-sum` `clear-num` `flip-+` `div-inv` `distribute-lft-out--`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 110

Calls

4 calls:

7.0ms	(/ beta (+ (+ alpha beta) 2.0))
7.0ms	(/ alpha (+ (+ alpha beta) 2.0))
14.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
13.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series37.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ beta (+ (+ alpha beta) 2.0))
6.0ms	(/ alpha (+ (+ alpha beta) 2.0))
13.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
11.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify38.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	368	741
1	1178	696
2	5001	683

prune174.0ms

Filtered

84 candidates to 122 candidates (-45.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	123	5	128

Merged error: 1.8b

Counts

128 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.4b	(exp (log (/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0)))
0.5b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
9.9b	(log (/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
64×	`times-frac`
50×	`log-prod`
37×	`add-cube-cbrt`
25×	`exp-sum`
19×	`distribute-lft-out--`
14×	`difference-of-squares`
12×	`distribute-lft-out`
9×	`add-exp-log`
6×	`pow1` `add-cbrt-cube` `add-log-exp`
5×	`associate-/r*`
4×	`exp-prod`
3×	`div-inv` `associate-/l*`
2×	`log-div` `div-exp` `rem-log-exp` `associate-/r/` `log-pow`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `exp-diff` `diff-log` `clear-num` `flip--` `flip-+` `rem-exp-log`

Counts

4 → 126

Calls

4 calls:

7.0ms	(/ alpha (+ (+ alpha beta) 2.0))
29.0ms	(exp (log (/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0)))
14.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
30.0ms	(log (/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0))

series54.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ alpha (+ (+ alpha beta) 2.0))
13.0ms	(exp (log (/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0)))
11.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
23.0ms	(log (/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	536	1689
1	1566	1612
2	5002	1560

prune212.0ms

Filtered

95 candidates to 138 candidates (-45.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	133	5	138
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	135	8	143

Merged error: 1.8b

Counts

143 → 8

regimes131.0ms

Accuracy

72.9% (3.4b remaining)

Error of 6.3b against oracle of 2.9b and baseline of 15.4b

bsearch23.0ms

Steps

Iters	Range		Point
10	1.547095716289681e+27	1.000206659246847e+46	3.5651741745380584e+27

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	24
1	33	24

end0.0ms

sample779.0ms

Algorithm

intervals

Results

185.0ms	5899×	body	80	valid
130.0ms	8000×	pre	80	true
127.0ms	783×	body	1280	valid
86.0ms	705×	body	640	valid
37.0ms	412×	body	320	valid
12.0ms	201×	body	160	valid

Details

sample28.0ms

simplify65.0ms

prune3.0ms

localize8.0ms

rewrite34.0ms

series19.0ms

simplify35.0ms

prune109.0ms

localize9.0ms

rewrite63.0ms

series37.0ms

simplify59.0ms

prune215.0ms

localize12.0ms

rewrite45.0ms

series37.0ms

simplify38.0ms

prune174.0ms

localize12.0ms

rewrite85.0ms

series54.0ms

simplify51.0ms

prune212.0ms

regimes131.0ms

bsearch23.0ms

simplify1.0ms

end0.0ms

sample779.0ms

Profiling