Details

analyze266.0ms

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

14.0ms	147×	body	160	valid
11.0ms	289×	pre	80	true
5.0ms	109×	body	80	valid
2.0ms	33×	body	80	nan

simplify203.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (201.0ms)

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: 29.2b

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)))
0.3b	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
29.0b	(- (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)))
11.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
7.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

series64.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
8.0ms	(- (* b b) (* 4.0 (* a c)))
27.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
15.0ms	(- (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

prune192.0ms

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: 9.4b

Counts

83 → 16

localize5.0ms

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

prune63.0ms

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: 9.4b

Counts

16 → 16

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 (37.0ms)

Iter	Nodes	Cost
0	4991	490
1	4991	490

prune175.0ms

Filtered

40 candidates to 68 candidates (-70.0%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	53	15	68
Fresh	0	14	14
Picked	1	0	1
Done	0	1	1
Total	54	30	84

Merged error: 9.3b

Counts

84 → 30

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log` `add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
1×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

9.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify32.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5022	278

prune19.0ms

Filtered

13 candidates to 34 candidates (-161.5%)

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	28	28
Picked	0	1	1
Done	0	1	1
Total	33	31	64

Merged error: 9.3b

Counts

64 → 31

regimes623.0ms

Accuracy

40.5% (8.1b remaining)

Error of 17.3b against oracle of 9.1b and baseline of 22.8b

bsearch9.0ms

Steps

Iters	Range		Point
0	61181.097461380654	62586.874969813485	61883.98621559707
0	17290.572862161076	17376.55158257064	17333.562222365857
2	541.591794556228	608.782183672394	600.3833850328732

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	112	48
1	112	48

end0.0ms

sample1.1s

Algorithm

intervals

Results

451.0ms	4460×	body	160	valid
256.0ms	8802×	pre	80	true
186.0ms	3540×	body	80	valid
39.0ms	802×	body	80	nan

Details

analyze266.0ms

sample43.0ms

simplify203.0ms

prune8.0ms

localize11.0ms

rewrite27.0ms

series64.0ms

simplify39.0ms

prune192.0ms

localize5.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune63.0ms

localize8.0ms

rewrite18.0ms

series11.0ms

simplify42.0ms

prune175.0ms

localize7.0ms

rewrite10.0ms

series5.0ms

simplify32.0ms

prune19.0ms

regimes623.0ms

bsearch9.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling