Details

analyze255.0ms

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

sample42.0ms

Algorithm

intervals

Results

16.0ms	173×	body	160	valid
8.0ms	285×	pre	80	true
5.0ms	34×	body	320	valid
2.0ms	49×	body	80	valid
1.0ms	29×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	17
1	27	17

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 43.4b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.6b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`prod-exp` `cbrt-unprod`
3×	`distribute-rgt-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-sub` `associate-l` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 72

Calls

4 calls:

3.0ms	(- (* b b) (* (* 3.0 a) c))
7.0ms	(* (* 3.0 a) c)
11.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
7.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series51.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
3.0ms	(* (* 3.0 a) c)
25.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
15.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify34.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4951	1155
1	4951	1155

prune110.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	2	85

Merged error: 0.3b

Counts

85 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
0.3b	(* 3.0 (* a c))
0.3b	(* 3.0 (* a c))
0.4b	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log` `add-cbrt-cube`
34×	`times-frac`
28×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
14×	`pow1` `associate-/l*`
12×	`add-cube-cbrt`
8×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `pow-prod-down` `associate-/r/`
4×	`distribute-rgt-neg-in` `sqrt-prod` `div-inv` `add-log-exp`
3×	`flip3--` `flip--`
2×	`frac-2neg` `associate-r` `clear-num` `*-commutative`
1×	`associate-/l/`

Counts

4 → 123

Calls

4 calls:

12.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
4.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a c))
16.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series103.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
3.0ms	(* 3.0 (* a c))
6.0ms	(* 3.0 (* a c))
42.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify57.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4959	2134
1	4959	2134

prune191.0ms

Filtered

76 candidates to 135 candidates (-77.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	124	11	135
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	126	11	137

Merged error: 0.0b

Counts

137 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
0.1b	(/ (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) c)
0.2b	(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) c))
0.3b	(* 3.0 (* a c))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
155×	`add-sqr-sqrt` `*-un-lft-identity`
87×	`add-cube-cbrt`
34×	`distribute-lft-out--` `difference-of-squares`
28×	`associate-/r*`
22×	`add-exp-log`
17×	`distribute-rgt-neg-in` `sqrt-prod`
16×	`add-cbrt-cube`
10×	`pow1` `associate-/l*`
8×	`div-exp` `add-log-exp`
6×	`div-inv`
4×	`cbrt-undiv`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rec-exp` `flip3--` `frac-2neg` `diff-log` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`associate--l-` `neg-sub0` `sub-neg` `pow-flip` `div-sub` `associate-r` `neg-log` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 205

Calls

4 calls:

7.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
9.0ms	(/ (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) c)
15.0ms	(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) c))
5.0ms	(* 3.0 (* a c))

series71.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
21.0ms	(/ (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) c)
30.0ms	(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) c))
4.0ms	(* 3.0 (* a c))

simplify97.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4965	4768
1	4965	4768

prune264.0ms

Filtered

114 candidates to 217 candidates (-90.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	213	4	217
Fresh	7	3	10
Picked	0	1	1
Done	0	0	0
Total	220	8	228

Merged error: 0b

Counts

228 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* 3.0 (* a c)))
0.1b	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
0.3b	(* (/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) c)
0.3b	(* 3.0 (* a c))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
30×	`associate-l`
23×	`times-frac`
18×	`add-exp-log`
17×	`add-cube-cbrt`
14×	`add-cbrt-cube`
11×	`pow1`
10×	`add-log-exp`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`prod-exp`
5×	`cbrt-unprod`
4×	`distribute-rgt-neg-in` `associate-r` `pow-prod-down` `sqrt-prod`
3×	`flip3--` `diff-log` `flip--` `unswap-sqr`
2×	`sub-neg` `div-exp` `associate-/r/` `*-commutative`
1×	`cbrt-undiv` `associate--l-` `neg-sub0` `rec-exp` `1-exp` `neg-log` `associate-*l/` `div-inv`

Counts

4 → 95

Calls

4 calls:

3.0ms	(- (* b b) (* 3.0 (* a c)))
7.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
13.0ms	(* (/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) c)
5.0ms	(* 3.0 (* a c))

series60.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* 3.0 (* a c)))
15.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
30.0ms	(* (/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) c)
5.0ms	(* 3.0 (* a c))

simplify50.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5453	1535

prune122.0ms

Filtered

69 candidates to 107 candidates (-55.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	3	3	6
Picked	0	1	1
Done	1	0	1
Total	109	6	115

Merged error: 0b

Counts

115 → 6

regimes152.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	15
1	14	15

end0.0ms

analyze249.0ms

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

sample1.2s

Algorithm

intervals

Results

451.0ms	4872×	body	160	valid
243.0ms	8839×	pre	80	true
184.0ms	1336×	body	320	valid
84.0ms	1792×	body	80	valid
38.0ms	839×	body	80	nan

Details

analyze255.0ms

sample42.0ms

simplify3.0ms

prune6.0ms

localize10.0ms

rewrite30.0ms

series51.0ms

simplify34.0ms

prune110.0ms

localize12.0ms

rewrite41.0ms

series103.0ms

simplify57.0ms

prune191.0ms

localize11.0ms

rewrite46.0ms

series71.0ms

simplify97.0ms

prune264.0ms

localize11.0ms

rewrite32.0ms

series60.0ms

simplify50.0ms

prune122.0ms

regimes152.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze249.0ms

sample1.2s

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