Details

sample28.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 99.99971%

Space saved by search: 99.99971%

Guaranteed chance to sample good point: 100%

Results

10.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	39	3
2	65	3
3	70	3
4	70	3

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ b c) d)
0.0b	(* a (+ (+ b c) d))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `distribute-lft-out`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-l` `sum-log`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

5.0ms	(+ (+ b c) d)
8.0ms	(* a (+ (+ b c) d))

series13.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (+ b c) d)
9.0ms	(* a (+ (+ b c) d))

simplify30.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	177	179
1	861	160
2	5001	160

prune43.0ms

Filtered

28 candidates to 45 candidates (-60.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Merged error: 0.0b

Counts

46 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (+ (+ b c) d))
0.1b	(sqrt (* a (+ (+ b c) d)))
0.1b	(sqrt (* a (+ (+ b c) d)))
0.5b	(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `associate-r` `flip-+`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 107

Calls

4 calls:

8.0ms	(* a (+ (+ b c) d))
6.0ms	(sqrt (* a (+ (+ b c) d)))
6.0ms	(sqrt (* a (+ (+ b c) d)))
19.0ms	(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series130.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* a (+ (+ b c) d))
55.0ms	(sqrt (* a (+ (+ b c) d)))
59.0ms	(sqrt (* a (+ (+ b c) d)))
8.0ms	(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify67.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	335	702
1	1829	643
2	5001	621

prune90.0ms

Filtered

70 candidates to 119 candidates (-70.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	4	122

Merged error: 0b

Counts

122 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (+ (+ b c) d))
0.1b	(sqrt (* a (+ (+ b c) d)))
0.4b	(* (* (sqrt (* a (+ (+ b c) d))) (sqrt a)) (sqrt (+ (+ b c) d)))
0.4b	(* (sqrt (* a (+ (+ b c) d))) (sqrt a))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1`
21×	`*-un-lft-identity`
19×	`associate-r`
17×	`add-sqr-sqrt` `pow-prod-down`
16×	`sqrt-div`
14×	`associate-*r/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`sqrt-pow1`
11×	`add-cube-cbrt` `sqrt-prod`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
8×	`associate-l`
6×	`pow1/2` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`frac-times` `add-log-exp`
3×	`sqrt-unprod` `*-commutative` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 101

Calls

4 calls:

8.0ms	(* a (+ (+ b c) d))
6.0ms	(sqrt (* a (+ (+ b c) d)))
20.0ms	(* (* (sqrt (* a (+ (+ b c) d))) (sqrt a)) (sqrt (+ (+ b c) d)))
11.0ms	(* (sqrt (* a (+ (+ b c) d))) (sqrt a))

series4.2s

Counts

4 → 12

Calls

4 calls:

8.0ms	(* a (+ (+ b c) d))
56.0ms	(sqrt (* a (+ (+ b c) d)))
4.1s	(* (* (sqrt (* a (+ (+ b c) d))) (sqrt a)) (sqrt (+ (+ b c) d)))
77.0ms	(* (sqrt (* a (+ (+ b c) d))) (sqrt a))

simplify92.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	603	944
1	3408	892
2	5001	876

prune106.0ms

Filtered

79 candidates to 113 candidates (-43.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ b c) d))
0.0b	(sqrt (+ (+ b c) d))
0.3b	(* a (sqrt (+ (+ b c) d)))
0.4b	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

5.0ms	(sqrt (+ (+ b c) d))
5.0ms	(sqrt (+ (+ b c) d))
8.0ms	(* a (sqrt (+ (+ b c) d)))
15.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (+ (+ b c) d))
9.0ms	(sqrt (+ (+ b c) d))
20.0ms	(* a (sqrt (+ (+ b c) d)))
22.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify49.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	368	717
1	1618	641
2	5002	619

prune73.0ms

Filtered

66 candidates to 103 candidates (-56.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	103	4	107

Merged error: 0b

Counts

107 → 4

regimes368.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample740.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 99.99971%

Space saved by search: 99.99971%

Guaranteed chance to sample good point: 100%

Results

298.0ms	8000×	pre	80	true
184.0ms	8000×	body	80	valid

Details

sample28.0ms

simplify9.0ms

prune3.0ms

localize5.0ms

rewrite14.0ms

series13.0ms

simplify30.0ms

prune43.0ms

localize8.0ms

rewrite43.0ms

series130.0ms

simplify67.0ms

prune90.0ms

localize11.0ms

rewrite49.0ms

series4.2s

simplify92.0ms

prune106.0ms

localize8.0ms

rewrite36.0ms

series61.0ms

simplify49.0ms

prune73.0ms

regimes368.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample740.0ms

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