Details

analyze278.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

sample45.0ms

Algorithm

intervals

Results

18.0ms	150×	body	160	valid
8.0ms	285×	pre	80	true
6.0ms	106×	body	80	valid
1.0ms	29×	body	80	nan

simplify205.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (203.0ms)

Iter	Nodes	Cost
0	1931	16
1	1931	16

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 29.6b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (- (* b b) (* 4.0 (* a c))))
0.2b	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
0.2b	(- (* b b) (* 4.0 (* a c)))
29.5b	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `sqrt-prod` `associate-/l*` `difference-of-squares`
5×	`pow1`
4×	`flip3--` `flip--`
3×	`distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `sqrt-div` `diff-log` `div-exp` `associate-/l/`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 70

Calls

4 calls:

4.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
11.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
4.0ms	(- (* b b) (* 4.0 (* a c)))
7.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

series67.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
26.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
9.0ms	(- (* b b) (* 4.0 (* a c)))
17.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify42.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5083	1316

prune223.0ms

Filtered

62 candidates to 82 candidates (-32.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	64	18	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	18	83

Merged error: 9.6b

Counts

83 → 18

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune81.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	17	17
Picked	1	1
Done	0	0
Total	18	18

Merged error: 9.6b

Counts

18 → 18

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(* a (/ c b))
0.3b	(/ (* -2.0 (* a (/ c b))) (* a 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
15×	`add-sqr-sqrt`
13×	`associate-r`
11×	`cbrt-undiv` `times-frac` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1`
3×	`associate-r/` `associate-l*`
2×	`div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `associate-/l/` `associate-/l*`

Counts

2 → 62

Calls

2 calls:

8.0ms	(* a (/ c b))
9.0ms	(/ (* -2.0 (* a (/ c b))) (* a 2.0))

series10.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* a (/ c b))
5.0ms	(/ (* -2.0 (* a (/ c b))) (* a 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4978	496
1	4978	496

prune210.0ms

Filtered

39 candidates to 68 candidates (-74.4%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	52	16	68
Fresh	0	16	16
Picked	1	0	1
Done	1	0	1
Total	54	32	86

Merged error: 9.5b

Counts

86 → 32

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(* a (/ (/ c b) 2.0))
0.3b	(* (/ -2.0 a) (* a (/ (/ c b) 2.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
54×	`add-sqr-sqrt`
45×	`add-cube-cbrt` `*-un-lft-identity`
44×	`associate-r`
43×	`add-exp-log` `add-cbrt-cube`
17×	`prod-exp` `cbrt-unprod`
16×	`associate-l`
13×	`cbrt-undiv` `div-exp`
9×	`pow1`
5×	`div-inv`
4×	`associate-*r/` `pow-prod-down`
3×	`unswap-sqr`
2×	`*-commutative` `add-log-exp`
1×	`frac-times` `associate-*l/`

Counts

2 → 108

Calls

2 calls:

14.0ms	(* a (/ (/ c b) 2.0))
12.0ms	(* (/ -2.0 a) (* a (/ (/ c b) 2.0)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* a (/ (/ c b) 2.0))
5.0ms	(* (/ -2.0 a) (* a (/ (/ c b) 2.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5046	1022

prune137.0ms

Filtered

82 candidates to 114 candidates (-39.0%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	106	8	114
Fresh	9	22	31
Picked	0	1	1
Done	0	0	0
Total	115	31	146

Merged error: 9.4b

Counts

146 → 31

regimes694.0ms

Accuracy

43.5% (7.7b remaining)

Error of 16.8b against oracle of 9.1b and baseline of 22.7b

bsearch10.0ms

Steps

Iters	Range		Point
0	8239.361087156976	8544.36334510803	8391.862216132502
2	2129.724718983999	2428.8804997612324	2167.1191915811532
0	110.18552667142109	110.39426165433021	110.28989416287564

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	205	90
1	205	90

end0.0ms

sample1.2s

Algorithm

intervals

Results

485.0ms	4509×	body	160	valid
272.0ms	8876×	pre	80	true
201.0ms	3491×	body	80	valid
45.0ms	876×	body	80	nan

Details

analyze278.0ms

sample45.0ms

simplify205.0ms

prune10.0ms

localize11.0ms

rewrite28.0ms

series67.0ms

simplify42.0ms

prune223.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune81.0ms

localize8.0ms

rewrite20.0ms

series10.0ms

simplify50.0ms

prune210.0ms

localize7.0ms

rewrite34.0ms

series11.0ms

simplify53.0ms

prune137.0ms

regimes694.0ms

bsearch10.0ms

simplify3.0ms

end0.0ms

sample1.2s

Profiling