Details

sample59.0ms

Algorithm

intervals

Results

26.0ms	123×	body	5120	exit
7.0ms	207×	body	80	valid
4.0ms	134×	body	80	overflowed
3.0ms	19×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	14×	body	160	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	107	9
3	224	8
4	1514	8
5	5002	8

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 11.9b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
4.4b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
118×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
24×	`associate-/l*`
21×	`distribute-lft-out`
13×	`add-cbrt-cube`
12×	`associate-/r/`
11×	`add-exp-log` `associate-/r*`
9×	`add-log-exp`
7×	`flip3-+` `flip-+` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `associate-/l/`

Counts

4 → 176

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
5.0ms	(/ wj (+ wj 1))
9.0ms	(/ (/ x (+ wj 1)) (exp wj))
28.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series142.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ x (+ wj 1))
22.0ms	(/ wj (+ wj 1))
43.0ms	(/ (/ x (+ wj 1)) (exp wj))
55.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify81.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	718	1538
1	3300	1481
2	5001	1479

prune398.0ms

Filtered

188 candidates to 138 candidates (73.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	183	5	188
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	185	5	190

Merged error: 0.1b

Counts

190 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2 (* wj x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* 2 (* wj x))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* 2 (* wj x))

simplify78.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	86	66
1	318	56
2	1235	56
3	3444	56
4	5001	56

prune35.0ms

Filtered

21 candidates to 11 candidates (52.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	21	5	26

Merged error: 0.1b

Counts

26 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (- (* wj wj) (* 1 1))) (/ (exp wj) (- wj 1)))
0.0b	(/ (exp wj) (- wj 1))
0.0b	(/ wj (+ wj 1))
4.4b	(- (+ (/ (/ x (- (* wj wj) (* 1 1))) (/ (exp wj) (- wj 1))) wj) (/ wj (+ wj 1)))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

1255×	`times-frac`
707×	`add-sqr-sqrt`
654×	`*-un-lft-identity`
458×	`add-cube-cbrt`
208×	`difference-of-squares`
99×	`associate-/r/`
63×	`distribute-lft-out--`
61×	`difference-of-sqr-1`
50×	`div-inv`
49×	`flip3--` `flip--`
38×	`associate-/r*`
24×	`associate-/l*`
20×	`add-cbrt-cube`
17×	`add-exp-log`
10×	`cbrt-undiv` `div-exp`
9×	`add-log-exp`
5×	`distribute-lft-out`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`flip3-+` `diff-log` `frac-sub` `flip-+`
1×	`sub-neg` `associate--l+` `sum-log` `associate-/l/`

Counts

4 → 649

Calls

4 calls:

26.0ms	(/ (/ x (- (* wj wj) (* 1 1))) (/ (exp wj) (- wj 1)))
6.0ms	(/ (exp wj) (- wj 1))
5.0ms	(/ wj (+ wj 1))
130.0ms	(- (+ (/ (/ x (- (* wj wj) (* 1 1))) (/ (exp wj) (- wj 1))) wj) (/ wj (+ wj 1)))

series425.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(/ (/ x (- (* wj wj) (* 1 1))) (/ (exp wj) (- wj 1)))
18.0ms	(/ (exp wj) (- wj 1))
21.0ms	(/ wj (+ wj 1))
313.0ms	(- (+ (/ (/ x (- (* wj wj) (* 1 1))) (/ (exp wj) (- wj 1))) wj) (/ wj (+ wj 1)))

simplify164.0ms

Algorithm

egg-herbie

Counts

661 → 661

Iterations

Useful iterations: 1 (56.0ms)

Iter	Nodes	Cost
0	3010	11732
1	5001	11400

prune1.4s

Filtered

661 candidates to 411 candidates (62.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	661	0	661
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	661	5	666

Merged error: 0.1b

Counts

666 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* wj wj) (- (* 1 1) (* wj 1))) (exp wj))
0.0b	(/ wj (+ wj 1))
0.0b	(* (/ x (+ (pow wj 3) (pow 1 3))) (/ (+ (* wj wj) (- (* 1 1) (* wj 1))) (exp wj)))
4.4b	(- (+ (* (/ x (+ (pow wj 3) (pow 1 3))) (/ (+ (* wj wj) (- (* 1 1) (* wj 1))) (exp wj))) wj) (/ wj (+ wj 1)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

85×	`*-un-lft-identity`
65×	`times-frac`
59×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
36×	`associate-l`
22×	`distribute-lft-out`
20×	`add-cbrt-cube`
17×	`add-exp-log`
13×	`associate-r`
12×	`unpow-prod-down` `cube-prod`
9×	`add-log-exp`
7×	`associate-/r*`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*`
4×	`flip3-+` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`cube-mult` `sum-cubes`
2×	`frac-2neg` `diff-log` `clear-num` `frac-sub` `associate-/l/` `difference-of-squares`
1×	`frac-times` `associate-+r-` `sub-neg` `flip3--` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `associate--l+` `sum-log` `*-commutative` `flip--` `distribute-lft-out--`

Counts

4 → 155

Calls

4 calls:

10.0ms	(/ (+ (* wj wj) (- (* 1 1) (* wj 1))) (exp wj))
8.0ms	(/ wj (+ wj 1))
29.0ms	(* (/ x (+ (pow wj 3) (pow 1 3))) (/ (+ (* wj wj) (- (* 1 1) (* wj 1))) (exp wj)))
31.0ms	(- (+ (* (/ x (+ (pow wj 3) (pow 1 3))) (/ (+ (* wj wj) (- (* 1 1) (* wj 1))) (exp wj))) wj) (/ wj (+ wj 1)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (+ (* wj wj) (- (* 1 1) (* wj 1))) (exp wj))
22.0ms	(/ wj (+ wj 1))
94.0ms	(* (/ x (+ (pow wj 3) (pow 1 3))) (/ (+ (* wj wj) (- (* 1 1) (* wj 1))) (exp wj)))
179.0ms	(- (+ (* (/ x (+ (pow wj 3) (pow 1 3))) (/ (+ (* wj wj) (- (* 1 1) (* wj 1))) (exp wj))) wj) (/ wj (+ wj 1)))

simplify109.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	830	1936
1	4160	1785
2	5003	1773

prune493.0ms

Filtered

167 candidates to 123 candidates (73.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	167	5	172

Merged error: 0.1b

Counts

172 → 5

regimes47.0ms

Accuracy

0% (1.8b remaining)

Error of 2.0b against oracle of 0.3b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.7s

Algorithm

intervals

Results

855.0ms	3931×	body	5120	exit
220.0ms	6263×	body	80	valid
120.0ms	3757×	body	80	overflowed
93.0ms	786×	body	320	valid
85.0ms	500×	body	640	valid
38.0ms	522×	body	160	valid

Details

sample59.0ms

simplify48.0ms

prune6.0ms

localize9.0ms

rewrite57.0ms

series142.0ms

simplify81.0ms

prune398.0ms

localize7.0ms

rewrite5.0ms

series20.0ms

simplify78.0ms

prune35.0ms

localize13.0ms

rewrite223.0ms

series425.0ms

simplify164.0ms

prune1.4s

localize22.0ms

rewrite85.0ms

series319.0ms

simplify109.0ms

prune493.0ms

regimes47.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

Profiling