Details

sample54.0ms

Algorithm

intervals

Results

12.0ms	142×	body	160	valid
11.0ms	553×	pre	80	true
9.0ms	297×	body	80	nan
4.0ms	114×	body	80	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	9
1	43	9
2	83	9
3	110	9
4	118	9
5	118	9

prune2.0ms

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: 27.5b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
27.5b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-commutative`
8×	`prod-diff`
6×	`associate-l`
2×	`neg-sub0` `associate-+l-` `flip3-+` `fma-neg` `associate-/r*` `flip-+` `associate-/l/`
1×	`+-commutative` `neg-mul-1` `sub-neg` `flip3--` `fma-def` `frac-2neg` `div-sub` `clear-num` `flip--` `div-inv`

Counts

4 → 30

Calls

4 calls:

6.0ms	(- (* b b) (* (* 3.0 a) c))
4.0ms	(* (* 3.0 a) c)
8.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
6.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(* (* 3.0 a) c)
108.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
80.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify134.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (130.0ms)

Iter	Nodes	Cost
0	296	286
1	1077	259
2	4554	250
3	5001	248

prune92.0ms

Filtered

42 candidates to 27 candidates (64.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	6	43

Merged error: 0.5b

Counts

43 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (* 3.0 c) a 0)
0.3b	(/ (fma (* 3.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (/ (fma (* 3.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 26

Calls

4 calls:

1.0ms	(fma (* 3.0 c) a 0)
7.0ms	(/ (fma (* 3.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms	(* (* 3.0 a) c)
9.0ms	(/ (/ (fma (* 3.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series425.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(fma (* 3.0 c) a 0)
192.0ms	(/ (fma (* 3.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
20.0ms	(* (* 3.0 a) c)
182.0ms	(/ (/ (fma (* 3.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify85.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	228	376
1	682	340
2	3406	294
3	5001	292

prune138.0ms

Filtered

38 candidates to 29 candidates (76.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	26	12	38
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	30	14	44

Merged error: 0.0b

Counts

44 → 14

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

21×	`associate-/l*`
16×	`*-commutative`
12×	`associate-l` `associate-/l/`
8×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/r/`
6×	`times-frac`
5×	`div-inv`
4×	`flip3-+` `flip-+`
3×	`frac-2neg` `div-sub` `distribute-frac-neg` `clear-num`
2×	`neg-sub0` `neg-mul-1` `associate-/r*`

Counts

4 → 50

Calls

4 calls:

9.0ms	(/ (- (* (* 3.0 a) c)) (+ b (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms	(* (* 3.0 a) c)
4.0ms	(* (* 3.0 a) c)
15.0ms	(/ (/ (- (* (* 3.0 a) c)) (+ b (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series390.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(/ (- (* (* 3.0 a) c)) (+ b (sqrt (- (* b b) (* (* 3.0 a) c)))))
20.0ms	(* (* 3.0 a) c)
22.0ms	(* (* 3.0 a) c)
158.0ms	(/ (/ (- (* (* 3.0 a) c)) (+ b (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify38.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	313	563
1	1190	512
2	5001	482

prune181.0ms

Filtered

62 candidates to 52 candidates (83.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	9	4	13
Picked	1	0	1
Done	0	0	0
Total	67	9	76

Merged error: 0.0b

Counts

76 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- a) (* (* 1 a) (/ (+ b (sqrt (- (* b b) (* (* 3.0 a) c)))) c)))
0.3b	(+ b (sqrt (- (* b b) (* (* 3.0 a) c))))
0.3b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-commutative`
10×	`associate-l`
8×	`prod-diff`
6×	`neg-mul-1` `associate-/r/`
5×	`times-frac` `associate-r/` `associate-/r`
3×	`clear-num` `div-inv`
2×	`frac-2neg` `flip3-+` `fma-neg` `associate-r` `flip-+` `associate-/l/`
1×	`+-commutative` `neg-sub0` `sub-neg` `flip3--` `div-sub` `distribute-frac-neg` `un-div-inv` `flip--` `associate-/l*`

Counts

4 → 42

Calls

4 calls:

10.0ms	(/ (- a) (* (* 1 a) (/ (+ b (sqrt (- (* b b) (* (* 3.0 a) c)))) c)))
5.0ms	(+ b (sqrt (- (* b b) (* (* 3.0 a) c))))
6.0ms	(- (* b b) (* (* 3.0 a) c))
4.0ms	(* (* 3.0 a) c)

series317.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(/ (- a) (* (* 1 a) (/ (+ b (sqrt (- (* b b) (* (* 3.0 a) c)))) c)))
79.0ms	(+ b (sqrt (- (* b b) (* (* 3.0 a) c))))
50.0ms	(- (* b b) (* (* 3.0 a) c))
21.0ms	(* (* 3.0 a) c)

simplify50.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	349	373
1	1676	331
2	5001	324

prune114.0ms

Filtered

54 candidates to 37 candidates (68.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	53	10	63

Merged error: 0b

Counts

63 → 10

regimes176.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	29	11
1	49	10
2	53	10
3	53	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

314.0ms	16193×	pre	80	true
305.0ms	4506×	body	160	valid
260.0ms	8193×	body	80	nan
118.0ms	3494×	body	80	valid