Details

sample34.0ms

Algorithm

intervals

Results

5.0ms	36×	body	1280	valid
5.0ms	171×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	28×	body	640	valid
1.0ms	14×	body	320	valid
0.0ms	7×	body	160	valid

simplify66.0ms

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

prune9.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 19.5b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
2.2b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite29.0ms

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:

9.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
18.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series20.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
11.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify37.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (28.0ms)

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

prune291.0ms

Filtered

71 candidates to 46 candidates (35.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	61	10	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	10	72

Merged error: 18.8b

Counts

72 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.0b	(/ beta (+ (+ alpha beta) 2.0))
0.0b	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
2.2b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

7.0ms	(/ alpha (+ (+ alpha beta) 2.0))
7.0ms	(/ beta (+ (+ alpha beta) 2.0))
29.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
13.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series35.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ alpha (+ (+ alpha beta) 2.0))
6.0ms	(/ beta (+ (+ alpha beta) 2.0))
12.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
11.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify46.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	450	903
1	1596	871
2	5002	859

prune778.0ms

Filtered

123 candidates to 84 candidates (31.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	117	6	123
Fresh	7	2	9
Picked	1	0	1
Done	0	0	0
Total	125	8	133

Merged error: 3.1b

Counts

133 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ (+ alpha beta) 2.0))
0.7b	(cbrt (+ (+ alpha beta) 2.0))
0.7b	(cbrt (+ (+ alpha beta) 2.0))
2.2b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
15×	`cbrt-prod`
12×	`add-sqr-sqrt`
9×	`distribute-lft-out`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `times-frac` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 60

Calls

4 calls:

5.0ms	(cbrt (+ (+ alpha beta) 2.0))
5.0ms	(cbrt (+ (+ alpha beta) 2.0))
5.0ms	(cbrt (+ (+ alpha beta) 2.0))
13.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series63.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt (+ (+ alpha beta) 2.0))
17.0ms	(cbrt (+ (+ alpha beta) 2.0))
17.0ms	(cbrt (+ (+ alpha beta) 2.0))
13.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify66.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	278	615
1	717	585
2	2737	500
3	5002	491

prune486.0ms

Filtered

72 candidates to 53 candidates (26.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	70	10	80

Merged error: 3.1b

Counts

80 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
0.7b	(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
2.2b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
14.3b	(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
14×	`log-prod`
11×	`add-log-exp`
10×	`distribute-lft-out--`
8×	`log-div` `difference-of-squares`
7×	`add-cube-cbrt` `flip3--` `exp-sum` `flip--`
6×	`pow1` `frac-sub`
5×	`add-exp-log`
4×	`exp-prod` `times-frac` `exp-diff` `diff-log` `add-cbrt-cube`
3×	`sub-neg`
2×	`log-pow` `associate--r+`
1×	`rem-log-exp` `rem-exp-log` `associate--r-`

Counts

4 → 80

Calls

4 calls:

26.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
29.0ms	(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
13.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
26.0ms	(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))

series57.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
16.0ms	(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
11.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
18.0ms	(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))

simplify110.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	356	1237
1	1012	1165
2	4957	1120
3	5001	1116

prune515.0ms

Filtered

92 candidates to 67 candidates (27.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	83	9	92
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	90	12	102

Merged error: 3.1b

Counts

102 → 12

regimes228.0ms

Accuracy

73.8% (3.3b remaining)

Error of 6.3b against oracle of 3.0b and baseline of 15.6b

bsearch18.0ms

Steps

Iters	Range		Point
2	6.812188052194722e+20	7.647929103233441e+20	6.916655683574562e+20

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	40
1	49	40

end0.0ms

sample809.0ms

Algorithm

intervals

Results

181.0ms	5872×	body	80	valid
129.0ms	835×	body	1280	valid
124.0ms	8000×	pre	80	true
84.0ms	690×	body	640	valid
35.0ms	389×	body	320	valid
15.0ms	214×	body	160	valid

Details

sample34.0ms

simplify66.0ms

prune9.0ms

localize8.0ms

rewrite29.0ms

series20.0ms

simplify37.0ms

prune291.0ms

localize10.0ms

rewrite60.0ms

series35.0ms

simplify46.0ms

prune778.0ms

localize18.0ms

rewrite30.0ms

series63.0ms

simplify66.0ms

prune486.0ms

localize13.0ms

rewrite97.0ms

series57.0ms

simplify110.0ms

prune515.0ms

regimes228.0ms

bsearch18.0ms

simplify2.0ms

end0.0ms

sample809.0ms

Profiling