Details

analyze261.0ms

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

14.0ms	152×	body	160	valid
8.0ms	283×	pre	80	true
6.0ms	46×	body	320	valid
3.0ms	58×	body	80	valid
1.0ms	27×	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: 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))
38.7b	(+ (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))
5.0ms	(* (* 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))))

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))
14.0ms	(+ (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

prune123.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	5	85

Merged error: 0.3b

Counts

85 → 5

localize13.0ms

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))))))
5.0ms	(* 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))

series105.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
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))

simplify59.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4959	2134
1	4959	2134

prune166.0ms

Filtered

76 candidates to 135 candidates (-77.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	129	6	135
Fresh	4	0	4
Picked	0	1	1
Done	0	0	0
Total	133	7	140

Merged error: 0b

Counts

140 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
0.1b	(- (* b b) (* 3.0 (* a c)))
0.1b	(/ c (- (neg b) (sqrt (- (* 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)))))
4.0ms	(- (* b b) (* 3.0 (* a c)))
10.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
5.0ms	(* 3.0 (* a c))

series75.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
8.0ms	(- (* b b) (* 3.0 (* a c)))
46.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
6.0ms	(* 3.0 (* a c))

simplify51.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5701	1659

prune136.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	103	7	110

Merged error: 0b

Counts

110 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
41×	`times-frac`
36×	`add-sqr-sqrt`
35×	`add-cbrt-cube`
31×	`*-un-lft-identity`
27×	`add-cube-cbrt`
19×	`div-exp`
14×	`associate-r`
13×	`associate-/l*`
12×	`cbrt-undiv`
11×	`pow1` `prod-exp`
10×	`associate-l`
9×	`cbrt-unprod`
6×	`add-log-exp`
5×	`flip3--` `associate-/r/` `flip--`
4×	`frac-times` `pow-prod-down` `associate-*l/` `div-inv`
3×	`1-exp`
2×	`associate-r/` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `distribute-rgt-neg-in` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `sqrt-prod` `associate-/l/`

Counts

4 → 127

Calls

4 calls:

3.0ms	(- (* b b) (* 3.0 (* a c)))
15.0ms	(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 3.0 c))
14.0ms	(/ (/ 3.0 1) (* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 3.0 c)))
5.0ms	(* 3.0 (* a c))

series65.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* b b) (* 3.0 (* a c)))
19.0ms	(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 3.0 c))
31.0ms	(/ (/ 3.0 1) (* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 3.0 c)))
4.0ms	(* 3.0 (* a c))

simplify59.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5307	2237

prune166.0ms

Filtered

91 candidates to 139 candidates (-52.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	139	7	146

Merged error: 0b

Counts

146 → 7

regimes191.0ms

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	18	15
1	18	15

end0.0ms

analyze256.0ms

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

446.0ms	4808×	body	160	valid
257.0ms	8943×	pre	80	true
195.0ms	1396×	body	320	valid
89.0ms	1796×	body	80	valid
45.0ms	943×	body	80	nan

Details

analyze261.0ms

sample42.0ms

simplify3.0ms

prune7.0ms

localize10.0ms

rewrite30.0ms

series51.0ms

simplify34.0ms

prune123.0ms

localize13.0ms

rewrite41.0ms

series105.0ms

simplify59.0ms

prune166.0ms

localize11.0ms

rewrite28.0ms

series75.0ms

simplify51.0ms

prune136.0ms

localize14.0ms

rewrite42.0ms

series65.0ms

simplify59.0ms

prune166.0ms

regimes191.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze256.0ms

sample1.2s

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