Details

sample72.0ms

Algorithm

intervals

Results

16.0ms	143×	body	160	valid
15.0ms	539×	pre	80	true
13.0ms	283×	body	80	nan
5.0ms	113×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	88	16
1	88	16

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 29.3b

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	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.3b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite29.0ms

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)
11.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series54.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
3.0ms	(* (* 3.0 a) c)
27.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
15.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify38.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5005	1123

prune111.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	4	86

Merged error: 0.5b

Counts

86 → 4

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)) 0) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
0.4b	(/ (/ (+ (* 3.0 (* a c)) 0) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 157

Calls

4 calls:

5.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a c))
17.0ms	(/ (+ (* 3.0 (* a c)) 0) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
18.0ms	(/ (/ (+ (* 3.0 (* a c)) 0) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series106.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* a c))
3.0ms	(* 3.0 (* a c))
56.0ms	(/ (+ (* 3.0 (* a c)) 0) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
43.0ms	(/ (/ (+ (* 3.0 (* a c)) 0) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify62.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4904	3674
1	4904	3674

prune266.0ms

Filtered

103 candidates to 169 candidates (-64.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	160	9	169
Fresh	2	0	2
Picked	1	0	1
Done	1	0	1
Total	164	9	173

Merged error: 0.0b

Counts

173 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
151×	`add-sqr-sqrt` `*-un-lft-identity`
87×	`add-cube-cbrt`
32×	`distribute-lft-out--` `difference-of-squares`
28×	`associate-/r*`
22×	`add-exp-log`
16×	`distribute-rgt-neg-in` `sqrt-prod` `add-cbrt-cube`
10×	`pow1` `associate-/l*`
8×	`div-exp`
6×	`div-inv` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `associate-r` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 200

Calls

4 calls:

10.0ms	(/ (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) c)
3.0ms	(- (* b b) (* 3.0 (* a c)))
14.0ms	(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) c))
5.0ms	(* 3.0 (* a c))

series64.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) c)
8.0ms	(- (* b b) (* 3.0 (* a c)))
34.0ms	(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) c))
3.0ms	(* 3.0 (* a c))

simplify85.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5169	4613

prune255.0ms

Filtered

111 candidates to 212 candidates (-91.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	208	4	212
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	213	8	221

Merged error: 0b

Counts

221 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

146×	`times-frac`
142×	`add-sqr-sqrt`
117×	`*-un-lft-identity`
47×	`add-cube-cbrt`
35×	`distribute-lft-out--`
30×	`difference-of-squares`
17×	`associate-/r*`
15×	`distribute-rgt-neg-in`
13×	`add-exp-log`
11×	`add-cbrt-cube` `div-inv`
10×	`pow1` `sqrt-prod`
8×	`add-log-exp`
5×	`distribute-rgt-out--`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*`
2×	`sub-neg` `diff-log` `div-exp` `frac-sub` `sub-div`
1×	`cbrt-undiv` `associate--l-` `neg-sub0` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `div-sub` `associate-r` `clear-num` `*-commutative` `inv-pow`

Counts

4 → 150

Calls

4 calls:

38.0ms	(- (/ (neg b) c) (/ (sqrt (- (* b b) (* 3.0 (* a c)))) c))
4.0ms	(- (* b b) (* 3.0 (* a c)))
40.0ms	(/ 1 (- (/ (neg b) c) (/ (sqrt (- (* b b) (* 3.0 (* a c)))) c)))
5.0ms	(* 3.0 (* a c))

series63.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ (neg b) c) (/ (sqrt (- (* b b) (* 3.0 (* a c)))) c))
9.0ms	(- (* b b) (* 3.0 (* a c)))
29.0ms	(/ 1 (- (/ (neg b) c) (/ (sqrt (- (* b b) (* 3.0 (* a c)))) c)))
4.0ms	(* 3.0 (* a c))

simplify68.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4961	3470
1	4961	3470

prune359.0ms

Filtered

91 candidates to 162 candidates (-78.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	161	1	162
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	162	8	170

Merged error: 0b

Counts

170 → 8

regimes193.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	14	15
1	14	15

end0.0ms

sample2.0s

Algorithm

intervals

Results

446.0ms	16450×	pre	80	true
426.0ms	4494×	body	160	valid
397.0ms	8450×	body	80	nan
169.0ms	3506×	body	80	valid

Details

sample72.0ms

simplify4.0ms

prune8.0ms

localize10.0ms

rewrite29.0ms

series54.0ms

simplify38.0ms

prune111.0ms

localize13.0ms

rewrite52.0ms

series106.0ms

simplify62.0ms

prune266.0ms

localize14.0ms

rewrite42.0ms

series64.0ms

simplify85.0ms

prune255.0ms

localize13.0ms

rewrite96.0ms

series63.0ms

simplify68.0ms

prune359.0ms

regimes193.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

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