Details

analyze268.0ms

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

sample39.0ms

Algorithm

intervals

Results

14.0ms	143×	body	160	valid
8.0ms	286×	pre	80	true
6.0ms	113×	body	80	valid
1.0ms	30×	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

prune7.0ms

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: 28.2b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(- (* b b) (* (* 3.0 a) c))
0.4b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.0b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite31.0ms

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:

5.0ms	(* (* 3.0 a) c)
3.0ms	(- (* b b) (* (* 3.0 a) c))
13.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* 3.0 a) c)
8.0ms	(- (* b b) (* (* 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

prune133.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	77	7	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	7	85

Merged error: 0.5b

Counts

85 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

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:

4.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a c))
15.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))
13.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))

series109.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* a c))
3.0ms	(* 3.0 (* a c))
45.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))
57.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))

simplify56.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4959	2134
1	4959	2134

prune202.0ms

Filtered

76 candidates to 135 candidates (-77.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	126	9	135
Fresh	6	0	6
Picked	1	0	1
Done	0	0	0
Total	133	9	142

Merged error: 0.0b

Counts

142 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`times-frac`
17×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
9×	`pow1`
7×	`associate-/r*`
5×	`distribute-rgt-neg-in` `sqrt-prod`
3×	`flip3--` `diff-log` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*`
2×	`sub-neg` `associate-/r/`
1×	`cbrt-undiv` `associate--l-` `neg-sub0` `frac-2neg` `div-exp` `associate-r` `neg-log` `clear-num` `*-commutative` `div-inv`

Counts

4 → 91

Calls

4 calls:

8.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
9.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
3.0ms	(- (* b b) (* 3.0 (* a c)))
5.0ms	(* 3.0 (* a c))

series76.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
48.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
9.0ms	(- (* b b) (* 3.0 (* a c)))
3.0ms	(* 3.0 (* a c))

simplify51.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5701	1659

prune155.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	103	9	112

Merged error: 0.0b

Counts

112 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b b) (* 3.0 (* a c)))
0.3b	(/ 1 (* a (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))))
0.3b	(* 3.0 (* a c))
0.4b	(* (* a c) (/ 1 (* a (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-exp-log`
35×	`add-cbrt-cube`
33×	`prod-exp`
17×	`pow1`
15×	`cbrt-unprod`
12×	`div-exp`
10×	`associate-r`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down`
6×	`cbrt-undiv` `rec-exp` `times-frac` `1-exp` `add-log-exp`
5×	`associate-*r/`
4×	`associate-l` `associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`pow-flip` `*-commutative` `div-inv`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `un-div-inv` `inv-pow`

Counts

4 → 101

Calls

4 calls:

3.0ms	(- (* b b) (* 3.0 (* a c)))
11.0ms	(/ 1 (* a (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))))
7.0ms	(* 3.0 (* a c))
15.0ms	(* (* a c) (/ 1 (* a (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))))

series98.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* 3.0 (* a c)))
45.0ms	(/ 1 (* a (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))))
3.0ms	(* 3.0 (* a c))
42.0ms	(* (* a c) (/ 1 (* a (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))))

simplify42.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4952	1441
1	4952	1441

prune113.0ms

Filtered

64 candidates to 113 candidates (-76.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	112	10	122

Merged error: 0b

Counts

122 → 10

regimes227.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	15
1	18	15

end0.0ms

analyze268.0ms

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

sample1.1s

Algorithm

intervals

Results

432.0ms	4397×	body	160	valid
260.0ms	8986×	pre	80	true
186.0ms	3603×	body	80	valid
51.0ms	986×	body	80	nan

Details

analyze268.0ms

sample39.0ms

simplify3.0ms

prune7.0ms

localize10.0ms

rewrite31.0ms

series52.0ms

simplify34.0ms

prune133.0ms

localize12.0ms

rewrite42.0ms

series109.0ms

simplify56.0ms

prune202.0ms

localize11.0ms

rewrite28.0ms

series76.0ms

simplify51.0ms

prune155.0ms

localize13.0ms

rewrite40.0ms

series98.0ms

simplify42.0ms

prune113.0ms

regimes227.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze268.0ms

sample1.1s

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