Details

sample49.0ms

Algorithm

intervals

Results

10.0ms	151×	body	160	valid
9.0ms	498×	pre	80	true
8.0ms	242×	body	80	nan
4.0ms	105×	body	80	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	42	9
2	76	9
3	94	9
4	102	9
5	102	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: 30.6b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
30.5b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

3.0ms	(- (* b b) (* (* 3.0 a) c))
5.0ms	(* (* 3.0 a) c)
15.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series253.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(* (* 3.0 a) c)
107.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
79.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	419	716
1	1930	613
2	5002	608

prune164.0ms

Filtered

85 candidates to 59 candidates (69.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	6	86

Merged error: 0.5b

Counts

86 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
79×	`add-sqr-sqrt` `*-un-lft-identity`
39×	`add-cube-cbrt`
30×	`associate-/l*`
23×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--` `difference-of-squares`
10×	`distribute-rgt-neg-in` `sqrt-prod`
9×	`pow1`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r/` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `flip--` `div-inv`
3×	`div-sub` `associate-r` `pow-prod-down` `associate-/l/`
2×	`associate-+l-` `frac-2neg` `clear-num`
1×	`sub-neg` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip-+`

Counts

4 → 153

Calls

4 calls:

4.0ms	(- (* b b) (* (* 3.0 a) c))
5.0ms	(* (* 3.0 a) c)
25.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
29.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series358.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(* (* 3.0 a) c)
164.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
126.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify119.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	688	3127
1	3498	2604
2	5002	2570

prune422.0ms

Filtered

165 candidates to 104 candidates (63.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	154	11	165
Fresh	5	0	5
Picked	1	0	1
Done	0	0	0
Total	160	11	171

Merged error: 0.0b

Counts

171 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

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)))))
0.4b	(/ (/ (- (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (- (* 3.0 a)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

624×	`times-frac`
364×	`add-sqr-sqrt` `*-un-lft-identity`
168×	`add-cube-cbrt`
155×	`distribute-rgt-neg-in`
106×	`distribute-lft-neg-in` `neg-mul-1`
98×	`distribute-lft-out--` `difference-of-squares`
54×	`associate-/l*`
49×	`sqrt-prod`
21×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r/`
14×	`pow1`
13×	`associate-/r*`
9×	`div-inv`
8×	`flip3--` `flip--`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`div-sub` `distribute-frac-neg`
2×	`neg-sub0` `frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`associate-/l/`

Counts

4 → 466

Calls

4 calls:

5.0ms	(* (* 3.0 a) c)
5.0ms	(* (* 3.0 a) c)
12.0ms	(/ (- (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
22.0ms	(/ (/ (- (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (- (* 3.0 a)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
20.0ms	(* (* 3.0 a) c)
181.0ms	(/ (- (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
152.0ms	(/ (/ (- (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (- (* 3.0 a)))

simplify116.0ms

Algorithm

egg-herbie

Counts

478 → 478

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1469	10124
1	5002	9855

prune928.0ms

Filtered

478 candidates to 290 candidates (60.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	474	4	478
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	481	8	489

Merged error: 0.0b

Counts

489 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(* (* 3.0 a) (/ (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a)))
0.4b	(/ (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
75×	`add-sqr-sqrt` `*-un-lft-identity`
62×	`add-exp-log` `add-cbrt-cube`
39×	`add-cube-cbrt`
34×	`associate-r`
27×	`associate-/l*`
24×	`prod-exp` `cbrt-unprod`
18×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
14×	`pow1`
9×	`distribute-rgt-neg-in` `sqrt-prod`
6×	`pow-prod-down` `associate-/r/` `add-log-exp`
5×	`div-inv`
4×	`flip3--` `flip--`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-r/` `clear-num` `associate-/r` `associate-/l/`

Counts

4 → 167

Calls

4 calls:

4.0ms	(- (* b b) (* (* 3.0 a) c))
7.0ms	(* (* 3.0 a) c)
20.0ms	(* (* 3.0 a) (/ (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a)))
15.0ms	(/ (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series428.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* b b) (* (* 3.0 a) c))
19.0ms	(* (* 3.0 a) c)
143.0ms	(* (* 3.0 a) (/ (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a)))
221.0ms	(/ (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify109.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	814	2421
1	4427	1970
2	5001	1970

prune288.0ms

Filtered

179 candidates to 102 candidates (57.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	178	9	187

Merged error: 0b

Counts

187 → 9

regimes147.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	12
1	17	12

end0.0ms

sample1.3s

Algorithm

intervals

Results

307.0ms	16642×	pre	80	true
304.0ms	4470×	body	160	valid
267.0ms	8642×	body	80	nan
121.0ms	3530×	body	80	valid