Details

sample57.0ms

Algorithm

intervals

Results

12.0ms	168×	body	160	valid
10.0ms	528×	pre	80	true
9.0ms	272×	body	80	nan
4.0ms	40×	body	320	valid
2.0ms	48×	body	80	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	9
1	46	9
2	86	9
3	113	9
4	121	9
5	121	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: 45.8b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b	(- (* b b) (* (* 4.0 a) c))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
40.4b	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-commutative`
8×	`prod-diff`
4×	`associate-l`
2×	`neg-sub0` `associate-+l-` `flip3--` `flip3-+` `fma-neg` `sqrt-div` `associate-/r*` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `neg-mul-1` `sub-neg` `fma-def` `frac-2neg` `pow1/2` `div-sub` `clear-num` `div-inv`

Counts

4 → 30

Calls

4 calls:

6.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
6.0ms	(- (* b b) (* (* 4.0 a) c))
8.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
10.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series312.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
45.0ms	(- (* b b) (* (* 4.0 a) c))
109.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
84.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify141.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (136.0ms)

Iter	Nodes	Cost
0	322	329
1	1151	301
2	4760	289
3	5001	287

prune92.0ms

Filtered

42 candidates to 30 candidates (71.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	2	43

Merged error: 0.2b

Counts

43 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b	(- (* b b) (* (* 4.0 a) c))
0.2b	(/ (/ (fma (* 4.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.3b	(/ (fma (* 4.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

6.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
6.0ms	(- (* b b) (* (* 4.0 a) c))
9.0ms	(/ (/ (fma (* 4.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
7.0ms	(/ (fma (* 4.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series517.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
49.0ms	(- (* b b) (* (* 4.0 a) c))
190.0ms	(/ (/ (fma (* 4.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
197.0ms	(/ (fma (* 4.0 c) a 0) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify41.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	360	567
1	1240	510
2	5001	474

prune171.0ms

Filtered

54 candidates to 37 candidates (68.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	46	8	54
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	47	9	56

Merged error: 0.0b

Counts

56 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b	(/ (fma (* 4.0 c) a 0) a)
0.1b	(- (* b b) (* (* 4.0 a) c))
0.3b	(* (/ (fma (* 4.0 c) a 0) a) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) 2.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

27×	`frac-times`
21×	`clear-num`
19×	`frac-2neg`
14×	`associate-/l/`
13×	`associate-/l*`
10×	`*-commutative`
9×	`associate-*r/`
8×	`prod-diff` `associate-/r/` `div-inv`
6×	`flip3--` `flip--`
5×	`associate-l`
4×	`un-div-inv`
3×	`fma-neg` `associate-*l/`
2×	`sub-neg`
1×	`associate--l-` `neg-sub0` `neg-mul-1` `associate-r`

Counts

4 → 69

Calls

4 calls:

6.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
2.0ms	(/ (fma (* 4.0 c) a 0) a)
6.0ms	(- (* b b) (* (* 4.0 a) c))
11.0ms	(* (/ (fma (* 4.0 c) a 0) a) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) 2.0))

series348.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
33.0ms	(/ (fma (* 4.0 c) a 0) a)
49.0ms	(- (* b b) (* (* 4.0 a) c))
187.0ms	(* (/ (fma (* 4.0 c) a 0) a) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) 2.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	451	797
1	1879	720
2	5001	714

prune213.0ms

Filtered

81 candidates to 48 candidates (59.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	82	8	90

Merged error: 0.0b

Counts

90 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b	(/ (fma (* 4.0 c) a 0) a)
0.1b	(/ (/ (fma (* 4.0 c) a 0) a) (* 2.0 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 1)))
0.1b	(- (* b b) (* (* 4.0 a) c))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

6.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
2.0ms	(/ (fma (* 4.0 c) a 0) a)
10.0ms	(/ (/ (fma (* 4.0 c) a 0) a) (* 2.0 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 1)))
6.0ms	(- (* b b) (* (* 4.0 a) c))

series348.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
33.0ms	(/ (fma (* 4.0 c) a 0) a)
187.0ms	(/ (/ (fma (* 4.0 c) a 0) a) (* 2.0 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 1)))
49.0ms	(- (* b b) (* (* 4.0 a) c))

simplify44.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	350	437
1	1393	402
2	5002	387

prune135.0ms

Filtered

54 candidates to 35 candidates (64.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	55	7	62

Merged error: 0.0b

Counts

62 → 7

regimes112.0ms

Accuracy

0% (0.3b 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	35	23
1	35	23

end0.0ms

sample1.5s

Algorithm

intervals

Results

351.0ms	4824×	body	160	valid
311.0ms	16295×	pre	80	true
287.0ms	8295×	body	80	nan
150.0ms	1370×	body	320	valid
69.0ms	1806×	body	80	valid