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

sample37.0ms

Algorithm

intervals

Results

12.0ms	127×	body	160	valid
8.0ms	276×	pre	80	true
6.0ms	129×	body	80	valid
1.0ms	20×	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: 27.2b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* 4.0 (* a c))))
0.2b	(- (* b b) (* 4.0 (* a c)))
0.2b	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
27.2b	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

rewrite30.0ms

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))))
6.0ms	(- (* 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)

series65.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
8.0ms	(- (* 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)

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5340	1316

prune184.0ms

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: 8.6b

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

prune55.0ms

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: 8.6b

Counts

15 → 15

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)

rewrite18.0ms

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)

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 (36.0ms)

Iter	Nodes	Cost
0	4991	490
1	4991	490

prune162.0ms

Filtered

40 candidates to 68 candidates (-70.0%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	53	15	68
Fresh	0	13	13
Picked	1	0	1
Done	1	0	1
Total	55	28	83

Merged error: 8.5b

Counts

83 → 28

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ 1 (* (/ b c) (/ 2.0 -2.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
22×	`div-exp`
19×	`add-cbrt-cube`
12×	`prod-exp`
9×	`cbrt-undiv`
5×	`rec-exp` `1-exp`
4×	`pow1` `cbrt-unprod`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r/` `associate-/l`
2×	`pow-flip`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `associate-/r*` `div-inv` `inv-pow` `add-log-exp`

Counts

1 → 43

Calls

1 calls:

8.0ms

(/ 1 (* (/ b c) (/ 2.0 -2.0)))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ 1 (* (/ b c) (/ 2.0 -2.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4964	340
1	4964	340

prune26.0ms

Filtered

19 candidates to 46 candidates (-142.1%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	27	27
Picked	0	1	1
Done	0	0	0
Total	45	29	74

Merged error: 8.5b

Counts

74 → 29

regimes579.0ms

Accuracy

45.9% (7.4b remaining)

Error of 16.3b against oracle of 8.9b and baseline of 22.6b

bsearch5.0ms

Steps

Iters	Range		Point
1	7017.269237237536	7402.346139657565	7113.538462842543

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	99	43
1	99	43

end0.0ms

sample1.1s

Algorithm

intervals

Results

424.0ms	4470×	body	160	valid
249.0ms	8841×	pre	80	true
174.0ms	3530×	body	80	valid
40.0ms	841×	body	80	nan

Details

analyze267.0ms

sample37.0ms

simplify203.0ms

prune8.0ms

localize11.0ms

rewrite30.0ms

series65.0ms

simplify40.0ms

prune184.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune55.0ms

localize7.0ms

rewrite18.0ms

series11.0ms

simplify42.0ms

prune162.0ms

localize6.0ms

rewrite9.0ms

series3.0ms

simplify61.0ms

prune26.0ms

regimes579.0ms

bsearch5.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling