Details

analyze269.0ms

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

sample53.0ms

Algorithm

intervals

Results

15.0ms	105×	body	320	valid
13.0ms	102×	body	160	valid
8.0ms	280×	pre	80	true
4.0ms	19×	body	640	valid
2.0ms	30×	body	80	valid
1.0ms	24×	body	80	nan

simplify168.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (167.0ms)

Iter	Nodes	Cost
0	1794	16
1	1794	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: 52.8b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* 3.0 (* a c)))
0.2b	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
0.3b	(* 3.0 (* a c))
27.6b	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod`
3×	`flip3--` `associate-l` `pow-prod-down` `sqrt-prod` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-r` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 73

Calls

4 calls:

6.0ms	(- (* b b) (* 3.0 (* a c)))
11.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
5.0ms	(* 3.0 (* a c))
7.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

series54.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* 3.0 (* a c)))
26.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
3.0ms	(* 3.0 (* a c))
15.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

simplify43.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5311	1206

prune186.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	74	11	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	11	86

Merged error: 2.7b

Counts

86 → 11

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

prune41.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	10	10
Picked	1	1
Done	0	0
Total	11	11

Merged error: 2.7b

Counts

11 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(* a (/ c b))
0.3b	(* -1.5 (* a (/ c b)))
0.4b	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
21×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
11×	`times-frac`
10×	`pow1`
6×	`associate-l`
5×	`associate-*r/`
4×	`pow-prod-down`
3×	`add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l/` `associate-/l`

Counts

3 → 83

Calls

3 calls:

6.0ms	(* a (/ c b))
6.0ms	(* -1.5 (* a (/ c b)))
10.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

series16.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* a (/ c b))
6.0ms	(* -1.5 (* a (/ c b)))
5.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

simplify65.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5003	679

prune158.0ms

Filtered

51 candidates to 92 candidates (-80.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	83	9	92
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	84	19	103

Merged error: 2.7b

Counts

103 → 19

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* -1.5 (* a c)) b)
0.3b	(* -1.5 (* a c))
0.4b	(/ (/ (* -1.5 (* a c)) b) (* 3.0 a))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
17×	`cbrt-undiv` `div-exp`
16×	`times-frac` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow1` `associate-/l*`
4×	`associate-/r*` `div-inv`
3×	`associate-l` `pow-prod-down` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`associate-r` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

6.0ms	(/ (* -1.5 (* a c)) b)
4.0ms	(* -1.5 (* a c))
9.0ms	(/ (/ (* -1.5 (* a c)) b) (* 3.0 a))

series14.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (* -1.5 (* a c)) b)
3.0ms	(* -1.5 (* a c))
5.0ms	(/ (/ (* -1.5 (* a c)) b) (* 3.0 a))

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5026	741

prune75.0ms

Filtered

50 candidates to 92 candidates (-84.0%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	0	17	17
Picked	0	1	1
Done	0	1	1
Total	90	21	111

Merged error: 2.7b

Counts

111 → 21

regimes378.0ms

Accuracy

0% (3.6b remaining)

Error of 6.2b against oracle of 2.6b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	5
1	22	5

end0.0ms

sample1.5s

Algorithm

intervals

Results

532.0ms	3626×	body	320	valid
291.0ms	2908×	body	160	valid
264.0ms	8814×	pre	80	true
105.0ms	528×	body	640	valid
49.0ms	938×	body	80	valid
44.0ms	814×	body	80	nan

Details

analyze269.0ms

sample53.0ms

simplify168.0ms

prune9.0ms

localize10.0ms

rewrite30.0ms

series54.0ms

simplify43.0ms

prune186.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune41.0ms

localize7.0ms

rewrite25.0ms

series16.0ms

simplify65.0ms

prune158.0ms

localize7.0ms

rewrite21.0ms

series14.0ms

simplify51.0ms

prune75.0ms

regimes378.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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