Details

analyze259.0ms

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

sample61.0ms

Algorithm

intervals

Results

15.0ms	170×	body	160	valid
4.0ms	32×	body	320	valid
3.0ms	54×	body	80	valid

simplify205.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (203.0ms)

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: 43.7b

Counts

2 → 1

localize13.0ms

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)))
0.3b	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
43.6b	(- (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))))
4.0ms	(- (* b b) (* 4.0 (* a c)))
11.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
7.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

series69.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
13.0ms	(- (* b b) (* 4.0 (* a c)))
26.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
16.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify39.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5340	1316

prune189.0ms

Filtered

62 candidates to 82 candidates (-32.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	66	16	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	16	83

Merged error: 5.6b

Counts

83 → 16

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

prune57.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	15	15
Picked	1	1
Done	0	0
Total	16	16

Merged error: 5.6b

Counts

16 → 16

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (* -2.0 (* (/ a b) c)) (* a 2.0))
0.3b	(* (/ a b) c)

rewrite19.0ms

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))
8.0ms	(* (/ a b) c)

series11.0ms

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 (37.0ms)

Iter	Nodes	Cost
0	4991	490
1	4991	490

prune159.0ms

Filtered

40 candidates to 68 candidates (-70.0%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	54	14	68
Fresh	0	14	14
Picked	1	0	1
Done	0	1	1
Total	55	29	84

Merged error: 5.6b

Counts

84 → 29

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (sqrt b))
0.3b	(* c (/ a (sqrt b)))
0.3b	(* (/ 1 (sqrt b)) (* c (/ a (sqrt b))))
0.3b	(/ 1 (sqrt b))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
69×	`add-sqr-sqrt`
61×	`add-cube-cbrt` `*-un-lft-identity`
54×	`add-exp-log`
43×	`sqrt-prod`
34×	`add-cbrt-cube`
25×	`associate-l`
23×	`associate-r`
22×	`prod-exp`
14×	`div-exp`
13×	`pow1`
12×	`associate-/r*` `cbrt-unprod`
8×	`cbrt-undiv`
6×	`associate-/l*`
4×	`rec-exp` `1-exp` `associate-*r/` `pow-prod-down` `div-inv` `add-log-exp`
3×	`pow-flip` `unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-*l/` `inv-pow`

Counts

4 → 180

Calls

4 calls:

4.0ms	(/ a (sqrt b))
9.0ms	(* c (/ a (sqrt b)))
12.0ms	(* (/ 1 (sqrt b)) (* c (/ a (sqrt b))))
4.0ms	(/ 1 (sqrt b))

series38.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ a (sqrt b))
10.0ms	(* c (/ a (sqrt b)))
14.0ms	(* (/ 1 (sqrt b)) (* c (/ a (sqrt b))))
7.0ms	(/ 1 (sqrt b))

simplify58.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5212	1466

prune154.0ms

Filtered

112 candidates to 192 candidates (-71.4%)

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	182	10	192
Fresh	4	23	27
Picked	0	1	1
Done	0	1	1
Total	186	35	221

Merged error: 5.5b

Counts

221 → 35

regimes532.0ms

Accuracy

0% (6.7b remaining)

Error of 11.9b against oracle of 5.2b and baseline of 11.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms

sample1.6s

Algorithm

intervals

Results

440.0ms	4912×	body	160	valid
181.0ms	1349×	body	320	valid
80.0ms	1739×	body	80	valid

Details

analyze259.0ms

sample61.0ms

simplify205.0ms

prune8.0ms

localize13.0ms

rewrite28.0ms

series69.0ms

simplify39.0ms

prune189.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune57.0ms

localize7.0ms

rewrite19.0ms

series11.0ms

simplify42.0ms

prune159.0ms

localize11.0ms

rewrite37.0ms

series38.0ms

simplify58.0ms

prune154.0ms

regimes532.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

Profiling