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

sample40.0ms

Algorithm

intervals

Results

13.0ms	145×	body	160	valid
8.0ms	286×	pre	80	true
8.0ms	111×	body	80	valid
1.0ms	30×	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: 28.2b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* 4.0 (* a c))))
0.2b	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
0.3b	(- (* b b) (* 4.0 (* a c)))
28.1b	(- (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))))
10.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
4.0ms	(- (* b b) (* 4.0 (* a c)))
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))))
25.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
8.0ms	(- (* b b) (* 4.0 (* a c)))
17.0ms	(- (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

prune176.0ms

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: 10.2b

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

prune55.0ms

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: 10.2b

Counts

16 → 16

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)

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ (* -2.0 (* (/ a b) c)) (* a 2.0))
6.0ms	(* (/ a b) c)

simplify41.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4991	490
1	4991	490

prune168.0ms

Filtered

40 candidates to 68 candidates (-70.0%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	50	18	68
Fresh	0	14	14
Picked	1	0	1
Done	1	0	1
Total	52	32	84

Merged error: 10.1b

Counts

84 → 32

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

prune21.0ms

Filtered

14 candidates to 34 candidates (-142.9%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	2	29	31
Picked	0	1	1
Done	0	0	0
Total	34	32	66

Merged error: 10.1b

Counts

66 → 32

regimes574.0ms

Accuracy

49.9% (6.9b remaining)

Error of 15.9b against oracle of 9.0b and baseline of 22.8b

bsearch2.0ms

Steps

Iters	Range		Point
0	1983.3224992026408	2031.5048017974214	2007.413650500031

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	100	45
1	100	45

end0.0ms

sample1.1s

Algorithm

intervals

Results

415.0ms	4477×	body	160	valid
249.0ms	8826×	pre	80	true
174.0ms	3523×	body	80	valid
39.0ms	826×	body	80	nan

Details

analyze266.0ms

sample40.0ms

simplify203.0ms

prune8.0ms

localize11.0ms

rewrite27.0ms

series64.0ms

simplify39.0ms

prune176.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune55.0ms

localize7.0ms

rewrite17.0ms

series11.0ms

simplify41.0ms

prune168.0ms

localize7.0ms

rewrite10.0ms

series5.0ms

simplify32.0ms

prune21.0ms

regimes574.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample1.1s

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