Details

analyze272.0ms

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

sample47.0ms

Algorithm

intervals

Results

14.0ms	149×	body	160	valid
8.0ms	285×	pre	80	true
8.0ms	42×	body	320	valid
3.0ms	65×	body	80	valid
1.0ms	29×	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

prune9.0ms

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: 42.2b

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))
37.6b	(- (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:

15.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
9.0ms	(- (* b b) (* 4.0 (* a c)))
26.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
19.0ms	(- (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

prune202.0ms

Filtered

62 candidates to 82 candidates (-32.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	68	14	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	14	83

Merged error: 5.9b

Counts

83 → 14

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

prune56.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	13	13
Picked	1	1
Done	0	0
Total	14	14

Merged error: 5.9b

Counts

14 → 14

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (* -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

prune173.0ms

Filtered

40 candidates to 68 candidates (-70.0%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	53	15	68
Fresh	0	12	12
Picked	1	0	1
Done	0	1	1
Total	54	28	82

Merged error: 5.8b

Counts

82 → 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:

7.0ms

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

series4.0ms

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

prune25.0ms

Filtered

18 candidates to 46 candidates (-155.6%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	26	26
Picked	0	1	1
Done	0	1	1
Total	45	29	74

Merged error: 5.8b

Counts

74 → 29

regimes542.0ms

Accuracy

11.1% (6.1b remaining)

Error of 11.2b against oracle of 5.1b and baseline of 12.0b

bsearch22.0ms

Steps

Iters	Range		Point
3	0.0012031002611572667	0.001631826447619832	0.001229895647811177

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	96	39
1	96	39

end0.0ms

sample1.3s

Algorithm

intervals

Results

478.0ms	4860×	body	160	valid
267.0ms	8990×	pre	80	true
197.0ms	1368×	body	320	valid
92.0ms	1772×	body	80	valid
48.0ms	990×	body	80	nan

Details

analyze272.0ms

sample47.0ms

simplify203.0ms

prune9.0ms

localize11.0ms

rewrite28.0ms

series69.0ms

simplify39.0ms

prune202.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune56.0ms

localize8.0ms

rewrite18.0ms

series11.0ms

simplify42.0ms

prune173.0ms

localize6.0ms

rewrite9.0ms

series4.0ms

simplify61.0ms

prune25.0ms

regimes542.0ms

bsearch22.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling