Details

sample55.0ms

Algorithm

intervals

Results

13.0ms	300×	body	80	nan
10.0ms	556×	pre	80	true
10.0ms	140×	body	160	valid
4.0ms	116×	body	80	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	9
1	45	9
2	79	9
3	97	9
4	105	9
5	105	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: 27.1b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b	(- (* b b) (* (* 4.0 a) c))
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
27.0b	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

2×	`neg-sub0` `associate-+l-` `flip3--` `flip3-+` `sqrt-div` `associate-/r*` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `frac-2neg` `pow1/2` `div-sub` `clear-num` `*-commutative` `div-inv`

Counts

4 → 19

Calls

4 calls:

5.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
5.0ms	(- (* b b) (* (* 4.0 a) c))
8.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
5.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series303.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
47.0ms	(- (* b b) (* (* 4.0 a) c))
105.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
80.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify121.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	269	246
1	985	235
2	3930	225
3	5002	224

prune87.0ms

Filtered

31 candidates to 27 candidates (87.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	26	5	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	5	32

Merged error: 0.4b

Counts

32 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 4.0 a) c))
0.3b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.3b	(/ (/ (* 4.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.4b	(/ (* 4.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

11×	`associate-/l*`
8×	`associate-/r/` `*-commutative`
7×	`associate-/l/`
6×	`flip3--` `times-frac` `flip--`
5×	`div-inv`
4×	`associate-r`
3×	`frac-2neg` `clear-num`
2×	`sub-neg` `associate-/r*`
1×	`associate--l-` `neg-sub0`

Counts

4 → 39

Calls

4 calls:

5.0ms	(- (* b b) (* (* 4.0 a) c))
8.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
11.0ms	(/ (/ (* 4.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
9.0ms	(/ (* 4.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series456.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* b b) (* (* 4.0 a) c))
78.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
147.0ms	(/ (/ (* 4.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
183.0ms	(/ (* 4.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify41.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	355	552
1	1419	505
2	5002	479

prune170.0ms

Filtered

51 candidates to 42 candidates (82.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	41	10	51
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	46	10	56

Merged error: 0.0b

Counts

56 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* 4.0 a) (* (* 2.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)))
0.3b	(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)
0.3b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.3b	(* (* 2.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-commutative`
10×	`times-frac` `associate-*r/`
8×	`associate-l`
6×	`clear-num` `associate-/r/` `div-inv` `associate-/l/`
5×	`associate-/r*`
4×	`flip3--` `frac-2neg` `associate-r` `flip--`
2×	`associate--l-` `neg-sub0` `div-sub` `un-div-inv` `associate-/l*`
1×	`sub-neg`

Counts

4 → 48

Calls

4 calls:

11.0ms	(/ (* 4.0 a) (* (* 2.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)))
7.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)
6.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
9.0ms	(* (* 2.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c))

series482.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(/ (* 4.0 a) (* (* 2.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)))
90.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)
78.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
152.0ms	(* (* 2.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c))

simplify40.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	342	483
1	1337	446
2	5002	434

prune192.0ms

Filtered

60 candidates to 55 candidates (91.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	55	5	60
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	60	10	70

Merged error: 0b

Counts

70 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 4.0 2.0) (+ b (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.2b	(- (* b b) (* (* 4.0 a) c))
0.3b	(+ b (sqrt (- (* b b) (* (* 4.0 a) c))))
0.3b	(* (/ (/ 4.0 2.0) (+ b (sqrt (- (* b b) (* (* 4.0 a) c))))) (- c))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-*l/`
6×	`associate-/l/`
4×	`frac-2neg` `clear-num` `associate-/r/` `div-inv`
3×	`flip3-+` `associate-l` `flip-+`
2×	`associate-/l*`
1×	`+-commutative` `neg-mul-1` `sub-neg` `flip3--` `associate-r` `*-commutative` `distribute-rgt-neg-out` `flip--`

Counts

4 → 29

Calls

4 calls:

7.0ms	(/ (/ 4.0 2.0) (+ b (sqrt (- (* b b) (* (* 4.0 a) c)))))
5.0ms	(- (* b b) (* (* 4.0 a) c))
8.0ms	(+ b (sqrt (- (* b b) (* (* 4.0 a) c))))
9.0ms	(* (/ (/ 4.0 2.0) (+ b (sqrt (- (* b b) (* (* 4.0 a) c))))) (- c))

series352.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (/ 4.0 2.0) (+ b (sqrt (- (* b b) (* (* 4.0 a) c)))))
45.0ms	(- (* b b) (* (* 4.0 a) c))
79.0ms	(+ b (sqrt (- (* b b) (* (* 4.0 a) c))))
126.0ms	(* (/ (/ 4.0 2.0) (+ b (sqrt (- (* b b) (* (* 4.0 a) c))))) (- c))

simplify143.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	301	273
1	1025	253
2	4807	245
3	5002	245

prune104.0ms

Filtered

41 candidates to 35 candidates (85.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	42	9	51

Merged error: 0b

Counts

51 → 9

regimes124.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	13
1	23	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

323.0ms	4497×	body	160	valid
304.0ms	16342×	pre	80	true
280.0ms	8342×	body	80	nan
130.0ms	3503×	body	80	valid