Details

sample54.0ms

Algorithm

intervals

Results

12.0ms	523×	pre	80	true
11.0ms	171×	body	160	valid
8.0ms	267×	body	80	nan
4.0ms	42×	body	320	valid
1.0ms	43×	body	80	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	42	9
2	76	9
3	94	9
4	102	9
5	102	9

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 45.4b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(* (* 3.0 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
40.0b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-commutative`
2×	`neg-sub0` `associate-+l-` `flip3-+` `associate-l` `associate-/r*` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `div-inv`

Counts

4 → 19

Calls

4 calls:

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

series264.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* b b) (* (* 3.0 a) c))
25.0ms	(* (* 3.0 a) c)
110.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
83.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify118.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	249	203
1	917	193
2	3692	186
3	5001	185

prune75.0ms

Filtered

31 candidates to 24 candidates (77.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	4	32

Merged error: 0.2b

Counts

32 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-commutative`
11×	`associate-/l*`
8×	`associate-/r/`
7×	`associate-/l/`
6×	`times-frac` `associate-r`
5×	`div-inv`
4×	`flip3--` `flip--`
3×	`frac-2neg` `clear-num`
2×	`associate-l` `associate-/r*`

Counts

4 → 36

Calls

4 calls:

3.0ms	(* (* 3.0 a) c)
9.0ms	(/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms	(* 3.0 (* a c))
11.0ms	(/ (/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series384.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
189.0ms	(/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
25.0ms	(* 3.0 (* a c))
150.0ms	(/ (/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify32.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	265	450
1	966	407
2	5002	353

prune134.0ms

Filtered

48 candidates to 38 candidates (79.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	39	9	48
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	43	9	52

Merged error: 0.0b

Counts

52 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(* (* 3.0 a) c)
0.3b	(/ (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))
0.4b	(/ (/ (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)) (* 3.0 a))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
20×	`associate-/r/`
17×	`*-commutative`
15×	`div-inv`
14×	`associate-/l/`
12×	`associate-/l*`
7×	`frac-2neg` `clear-num`
5×	`flip3--` `flip--`
4×	`associate-/r*`
2×	`associate-l`
1×	`sub-neg`

Counts

4 → 55

Calls

4 calls:

5.0ms	(- (* b b) (* (* 3.0 a) c))
4.0ms	(* (* 3.0 a) c)
9.0ms	(/ (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))
11.0ms	(/ (/ (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)) (* 3.0 a))

series434.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(* (* 3.0 a) c)
195.0ms	(/ (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))
170.0ms	(/ (/ (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)) (* 3.0 a))

simplify55.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	405	635
1	1709	551
2	5001	545

prune176.0ms

Filtered

67 candidates to 55 candidates (82.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	6	2	8
Picked	0	1	1
Done	0	0	0
Total	70	6	76

Merged error: 0.0b

Counts

76 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

16×	`frac-times`
12×	`clear-num`
11×	`neg-mul-1` `frac-2neg`
6×	`associate-/r*`
5×	`associate-l` `associate-/l*`
4×	`associate-r/` `associate-l/` `associate-/r/` `distribute-neg-frac`
3×	`flip3--` `*-commutative` `flip--` `div-inv`
1×	`sub-neg` `distribute-frac-neg` `associate-r` `un-div-inv` `distribute-rgt-neg-out`

Counts

4 → 44

Calls

4 calls:

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

series425.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ 3.0 (- (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
177.0ms	(- (* b b) (* (* 3.0 a) c))
19.0ms	(* (* 3.0 a) c)
126.0ms	(* (/ 3.0 (- (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (/ (- c) 3.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	375	430
1	1945	413
2	5001	370

prune116.0ms

Filtered

56 candidates to 38 candidates (67.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	56	6	62

Merged error: 0b

Counts

62 → 6

regimes104.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	21
1	41	21
2	50	21
3	51	21
4	51	21

end0.0ms

sample1.4s

Algorithm

intervals

Results

321.0ms	4810×	body	160	valid
292.0ms	16235×	pre	80	true
264.0ms	8235×	body	80	nan
136.0ms	1371×	body	320	valid
63.0ms	1819×	body	80	valid