Details

analyze267.0ms

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

sample43.0ms

Algorithm

intervals

Results

17.0ms	164×	body	160	valid
8.0ms	271×	pre	80	true
4.0ms	29×	body	320	valid
3.0ms	63×	body	80	valid
1.0ms	15×	body	80	nan

simplify203.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (202.0ms)

Iter	Nodes	Cost
0	1931	16
1	1931	16

prune8.0ms

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: 41.4b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* 4.0 (* a c))))
0.1b	(- (* b b) (* 4.0 (* a c)))
0.2b	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
37.7b	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

rewrite27.0ms

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))))
4.0ms	(- (* b b) (* 4.0 (* a c)))
10.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
7.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

series63.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
8.0ms	(- (* b b) (* 4.0 (* a c)))
24.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
17.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify39.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5340	1316

prune189.0ms

Filtered

62 candidates to 82 candidates (-32.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	67	15	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	15	83

Merged error: 5.7b

Counts

83 → 15

localize3.0ms

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

prune56.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	14	14
Picked	1	1
Done	0	0
Total	15	15

Merged error: 5.7b

Counts

15 → 15

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 62

Calls

2 calls:

9.0ms	(/ (* -2.0 (* (/ a b) c)) (* a 2.0))
6.0ms	(* (/ a b) c)

series10.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4991	490
1	4991	490

prune160.0ms

Filtered

40 candidates to 68 candidates (-70.0%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	54	14	68
Fresh	0	13	13
Picked	1	0	1
Done	0	1	1
Total	55	28	83

Merged error: 5.6b

Counts

83 → 28

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-l`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

6.0ms

(* (/ -2.0 b) c)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (/ -2.0 b) c)

simplify58.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5054	224

prune43.0ms

Filtered

27 candidates to 35 candidates (-29.6%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	29	6	35
Fresh	4	22	26
Picked	1	0	1
Done	0	1	1
Total	34	29	63

Merged error: 5.6b

Counts

63 → 29

regimes484.0ms

Accuracy

14.2% (5.9b remaining)

Error of 11.1b against oracle of 5.2b and baseline of 12.1b

bsearch22.0ms

Steps

Iters	Range		Point
3	0.006940931547724334	0.008532928257927914	0.00837895543527296

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	96	39
1	96	39

end0.0ms

sample1.2s

Algorithm

intervals

Results

456.0ms	4785×	body	160	valid
262.0ms	8909×	pre	80	true
197.0ms	1403×	body	320	valid
90.0ms	1812×	body	80	valid
43.0ms	909×	body	80	nan

Details

analyze267.0ms

sample43.0ms

simplify203.0ms

prune8.0ms

localize10.0ms

rewrite27.0ms

series63.0ms

simplify39.0ms

prune189.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune56.0ms

localize7.0ms

rewrite17.0ms

series10.0ms

simplify42.0ms

prune160.0ms

localize5.0ms

rewrite7.0ms

series3.0ms

simplify58.0ms

prune43.0ms

regimes484.0ms

bsearch22.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling