Details

analyze262.0ms

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

18.0ms	126×	body	320	valid
11.0ms	86×	body	160	valid
8.0ms	289×	pre	80	true
3.0ms	17×	body	640	valid
2.0ms	33×	body	80	nan
2.0ms	27×	body	80	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 53.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
24.0b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite28.0ms

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

series53.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
25.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
4.0ms	(* (* 3.0 a) c)
16.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify35.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4951	1155
1	4951	1155

prune118.0ms

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: 0.1b

Counts

85 → 5

localize15.0ms

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

series106.0ms

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

simplify61.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4959	2134
1	4959	2134

prune175.0ms

Filtered

76 candidates to 135 candidates (-77.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	128	7	135
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	133	7	140

Merged error: 0.0b

Counts

140 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
0.0b	(- (* b b) (* 3.0 (* a c)))
0.1b	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
0.3b	(* 3.0 (* a c))

rewrite30.0ms

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:

11.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
3.0ms	(- (* b b) (* 3.0 (* a c)))
8.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
5.0ms	(* 3.0 (* a c))

series74.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
8.0ms	(- (* b b) (* 3.0 (* a c)))
15.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
3.0ms	(* 3.0 (* a c))

simplify50.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5701	1659

prune130.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	104	6	110

Merged error: 0b

Counts

110 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
0.2b	(pow (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) 3)
0.3b	(* 3.0 (* a c))
0.6b	(cbrt (pow (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`cbrt-prod`
14×	`unpow-prod-down` `cube-prod`
11×	`add-cube-cbrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
8×	`add-log-exp`
5×	`distribute-rgt-neg-in` `sqrt-prod`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`cube-mult` `cbrt-div` `diff-log` `unpow3` `sqr-pow`
1×	`associate--l-` `neg-sub0` `pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `associate-r` `neg-log` `pow-exp` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 99

Calls

4 calls:

8.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
9.0ms	(pow (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) 3)
5.0ms	(* 3.0 (* a c))
11.0ms	(cbrt (pow (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) 3))

series71.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
30.0ms	(pow (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) 3)
3.0ms	(* 3.0 (* a c))
23.0ms	(cbrt (pow (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4992	1841
1	4992	1841

prune117.0ms

Filtered

60 candidates to 111 candidates (-85.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	111	6	117

Merged error: 0b

Counts

117 → 6

regimes154.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	15
1	18	15

end0.0ms

analyze258.0ms

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

sample1.4s

Algorithm

intervals

Results

520.0ms	3671×	body	320	valid
285.0ms	2910×	body	160	valid
251.0ms	8847×	pre	80	true
103.0ms	531×	body	640	valid
45.0ms	888×	body	80	valid
41.0ms	847×	body	80	nan

Details

analyze262.0ms

sample53.0ms

simplify3.0ms

prune7.0ms

localize10.0ms

rewrite28.0ms

series53.0ms

simplify35.0ms

prune118.0ms

localize15.0ms

rewrite41.0ms

series106.0ms

simplify61.0ms

prune175.0ms

localize11.0ms

rewrite30.0ms

series74.0ms

simplify50.0ms

prune130.0ms

localize14.0ms

rewrite36.0ms

series71.0ms

simplify48.0ms

prune117.0ms

regimes154.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze258.0ms

sample1.4s

Profiling