Details

sample58.0ms

Algorithm

intervals

Results

15.0ms	164×	body	160	valid
10.0ms	516×	pre	80	true
9.0ms	260×	body	80	nan
5.0ms	44×	body	320	valid
2.0ms	48×	body	80	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 45.0b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
0.2b	(- (* b b) (* (* 4.0 a) c))
39.2b	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

483×	`add-sqr-sqrt`
330×	`associate-l` `prod-diff`
309×	`*-un-lft-identity`
229×	`add-cube-cbrt`
177×	`associate-r`
125×	`unswap-sqr`
75×	`swap-sqr`
65×	`*-commutative`
60×	`times-frac`
30×	`difference-of-squares`
28×	`distribute-lft-out`
24×	`sqrt-prod`
17×	`distribute-rgt-neg-in`
15×	`fma-neg`
12×	`associate-/r*` `distribute-lft-out--`
10×	`fma-def` `add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-lft-neg-in`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3--` `flip3-+` `sqrt-div` `div-exp` `sum-log` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `neg-mul-1` `sub-neg` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `neg-log` `prod-exp` `clear-num` `cbrt-unprod` `div-inv`

Counts

4 → 541

Calls

4 calls:

42.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
43.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
34.0ms	(- (* b b) (* (* 4.0 a) c))
34.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series315.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
115.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
45.0ms	(- (* b b) (* (* 4.0 a) c))
86.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify196.0ms

Algorithm

egg-herbie

Counts

553 → 553

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1449	9181
1	4990	6678
2	5001	6678

prune762.0ms

Filtered

553 candidates to 170 candidates (30.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	540	13	553
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	541	13	554

Merged error: 5.1b

Counts

554 → 13

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune35.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	12	12
Picked	1	1
Done	0	0
Total	13	13

Merged error: 5.1b

Counts

13 → 13

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

1142×	`times-frac`
808×	`add-sqr-sqrt` `associate-r`
501×	`*-un-lft-identity`
499×	`add-cube-cbrt`
328×	`associate-l`
148×	`unswap-sqr`
109×	`*-commutative`
77×	`associate-/l*`
39×	`add-exp-log` `add-cbrt-cube`
21×	`associate-/l/`
18×	`associate-r/` `associate-/r`
15×	`div-inv`
14×	`cbrt-undiv` `div-exp`
13×	`prod-exp` `cbrt-unprod`
4×	`clear-num`
3×	`frac-2neg` `un-div-inv`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

2 → 791

Calls

2 calls:

7.0ms	(/ (* a c) b)
43.0ms	(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series40.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ (* a c) b)
21.0ms	(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify149.0ms

Algorithm

egg-herbie

Counts

797 → 797

Iterations

Useful iterations: 1 (66.0ms)

Iter	Nodes	Cost
0	4141	8389
1	5001	8343

prune1.8s

Filtered

797 candidates to 566 candidates (71.0%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	778	19	797
Fresh	1	10	11
Picked	1	0	1
Done	1	0	1
Total	781	29	810

Merged error: 5.0b

Counts

810 → 29

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (* 2.0 a) (/ a b))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

273×	`times-frac`
164×	`add-sqr-sqrt`
136×	`add-cube-cbrt` `*-un-lft-identity`
42×	`associate-r` `associate-l`
16×	`associate-/r*`
15×	`associate-/l*`
14×	`*-commutative` `div-inv` `unswap-sqr`
13×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r/`
6×	`cbrt-undiv` `div-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
1×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

1 → 210

Calls

1 calls:

16.0ms

(/ (* 2.0 a) (/ a b))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(/ (* 2.0 a) (/ a b))

simplify42.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	998	1683
1	5002	1511

prune443.0ms

Filtered

213 candidates to 145 candidates (68.1%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	206	7	213
Fresh	4	24	28
Picked	1	0	1
Done	0	0	0
Total	211	31	242

Merged error: 5.0b

Counts

242 → 31

regimes461.0ms

Accuracy

19.1% (5.4b remaining)

Error of 10.6b against oracle of 5.2b and baseline of 11.9b

bsearch4.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	33
1	46	33
2	49	33
3	54	33
4	54	33

end0.0ms

sample1.5s

Algorithm

intervals

Results

346.0ms	4911×	body	160	valid
302.0ms	16410×	pre	80	true
282.0ms	8410×	body	80	nan
142.0ms	1345×	body	320	valid
62.0ms	1744×	body	80	valid