Details

sample52.0ms

Algorithm

intervals

Results

11.0ms	113×	body	320	valid
9.0ms	467×	pre	80	true
7.0ms	106×	body	160	valid
6.0ms	211×	body	80	nan
3.0ms	20×	body	640	valid
1.0ms	17×	body	80	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	9
1	43	9
2	83	9
3	110	9
4	118	9
5	118	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: 53.8b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.2b	(* (* 3.0 a) c)
28.7b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `add-log-exp`
9×	`pow1`
6×	`distribute-rgt-neg-in` `distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `neg-mul-1` `sub-neg` `flip3--` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 93

Calls

4 calls:

4.0ms	(- (* b b) (* (* 3.0 a) c))
12.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
9.0ms	(* (* 3.0 a) c)
9.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series257.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* b b) (* (* 3.0 a) c))
107.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
19.0ms	(* (* 3.0 a) c)
81.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify62.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	449	785
1	2075	672
2	5002	663

prune244.0ms

Filtered

105 candidates to 78 candidates (74.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	96	9	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	9	106

Merged error: 2.7b

Counts

106 → 9

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify6.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune20.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	8	8
Picked	1	1
Done	0	0
Total	9	9

Merged error: 2.7b

Counts

9 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b	(* -1.5 (/ (* a c) b))
0.3b	(/ (* a c) b)
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `clear-num` `associate-/l`
1×	`pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

7.0ms	(* -1.5 (/ (* a c) b))
4.0ms	(/ (* a c) b)
9.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series73.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* -1.5 (/ (* a c) b))
24.0ms	(/ (* a c) b)
21.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify59.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	383	531
1	2513	389
2	5002	389

prune168.0ms

Filtered

93 candidates to 54 candidates (58.1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	82	11	93
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	83	19	102

Merged error: 2.7b

Counts

102 → 19

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b	(* -1.5 (/ a (/ b c)))
0.3b	(/ a (/ b c))
0.4b	(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

145×	`times-frac`
90×	`add-sqr-sqrt`
81×	`add-cube-cbrt` `*-un-lft-identity`
49×	`add-exp-log` `add-cbrt-cube`
44×	`associate-r`
20×	`cbrt-undiv` `div-exp`
14×	`associate-/r*`
13×	`prod-exp` `cbrt-unprod`
10×	`div-inv`
5×	`pow1`
4×	`associate-/l*`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `clear-num` `associate-/r/`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 172

Calls

3 calls:

14.0ms	(* -1.5 (/ a (/ b c)))
6.0ms	(/ a (/ b c))
11.0ms	(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

series76.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* -1.5 (/ a (/ b c)))
21.0ms	(/ a (/ b c))
25.0ms	(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

simplify99.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	720	1132
1	4243	985
2	5002	985

prune335.0ms

Filtered

181 candidates to 136 candidates (75.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	172	9	181
Fresh	5	12	17
Picked	1	0	1
Done	0	1	1
Total	178	22	200

Merged error: 2.7b

Counts

200 → 22

regimes401.0ms

Accuracy

0% (3.6b remaining)

Error of 6.4b against oracle of 2.8b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample1.5s

Algorithm

intervals

Results

348.0ms	3610×	body	320	valid
294.0ms	15941×	pre	80	true
244.0ms	7941×	body	80	nan
194.0ms	2966×	body	160	valid
61.0ms	469×	body	640	valid
31.0ms	955×	body	80	valid