Details

analyze6.0ms

Algorithm: search

sample31.0ms

Algorithm

intervals

Results

10.0ms	65×	body	640	valid
7.0ms	32×	body	320	valid
5.0ms	125×	body	80	valid
3.0ms	15×	body	1280	valid
1.0ms	19×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	31	7
2	43	7
3	57	7
4	73	7
5	92	7
6	126	7
7	158	7
8	207	7
9	209	7
10	209	7

prune2.0ms

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: 8.9b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
0.0b	(/ 1.0 (+ x 1.0))
3.0b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
47×	`times-frac`
43×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
14×	`distribute-lft-out--`
13×	`distribute-lft-out`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `sub-neg` `associate-+l+` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-`

Counts

4 → 114

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
17.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
5.0ms	(/ 1.0 (+ x 1.0))
29.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1.0 (- x 1.0))
3.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.0ms	(/ 1.0 (+ x 1.0))
10.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	496	865
1	1681	827
2	5001	816

prune181.0ms

Filtered

92 candidates to 126 candidates (-37.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	2	127

Merged error: 0.1b

Counts

127 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (+ (/ 1 (pow x 7)) (+ (/ 1 (pow x 5)) (/ 1 (pow x 3)))))
0.1b	(/ 1 (pow x 7))
0.2b	(/ 1 (pow x 3))
0.2b	(/ 1 (pow x 5))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
87×	`times-frac`
68×	`add-sqr-sqrt`
66×	`add-cube-cbrt`
36×	`unpow-prod-down`
33×	`add-exp-log`
26×	`associate-/r*`
24×	`distribute-lft-out`
18×	`div-exp`
16×	`associate-r` `div-inv`
12×	`cube-prod` `add-cbrt-cube` `sqr-pow`
9×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `associate-/l*`
6×	`pow1`
5×	`associate-*r/`
4×	`cube-mult` `unpow3` `frac-add` `add-log-exp`
3×	`cbrt-undiv` `pow-flip` `frac-2neg` `associate-l` `clear-num` `inv-pow`
2×	`flip3-+` `flip-+`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 217

Calls

4 calls:

61.0ms	(* 2.0 (+ (/ 1 (pow x 7)) (+ (/ 1 (pow x 5)) (/ 1 (pow x 3)))))
5.0ms	(/ 1 (pow x 7))
5.0ms	(/ 1 (pow x 3))
5.0ms	(/ 1 (pow x 5))

series19.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* 2.0 (+ (/ 1 (pow x 7)) (+ (/ 1 (pow x 5)) (/ 1 (pow x 3)))))
4.0ms	(/ 1 (pow x 7))
3.0ms	(/ 1 (pow x 3))
4.0ms	(/ 1 (pow x 5))

simplify87.0ms

Algorithm

egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	652	1114
1	3943	895
2	5002	895

prune239.0ms

Filtered

92 candidates to 229 candidates (-148.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	227	2	229
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	228	3	231

Merged error: 0.0b

Counts

231 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (pow x 5)) (pow x -3))
0.0b	(* 2.0 (+ (/ 1 (pow x 7)) (+ (/ 1 (pow x 5)) (pow x -3))))
0.1b	(/ 1 (pow x 7))
0.2b	(/ 1 (pow x 5))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
42×	`times-frac`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
24×	`add-exp-log` `unpow-prod-down`
14×	`associate-/r*`
12×	`div-exp` `distribute-lft-out`
10×	`add-cbrt-cube`
9×	`associate-r`
8×	`div-inv` `sqr-pow`
6×	`pow1` `pow-to-exp` `rec-exp` `1-exp` `pow-exp` `associate-/l*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3-+` `associate-l` `flip-+`
2×	`cbrt-undiv` `pow-flip` `frac-2neg` `frac-add` `clear-num` `inv-pow`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

13.0ms	(+ (/ 1 (pow x 5)) (pow x -3))
28.0ms	(* 2.0 (+ (/ 1 (pow x 7)) (+ (/ 1 (pow x 5)) (pow x -3))))
4.0ms	(/ 1 (pow x 7))
4.0ms	(/ 1 (pow x 5))

series24.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (/ 1 (pow x 5)) (pow x -3))
6.0ms	(* 2.0 (+ (/ 1 (pow x 7)) (+ (/ 1 (pow x 5)) (pow x -3))))
4.0ms	(/ 1 (pow x 7))
4.0ms	(/ 1 (pow x 5))

simplify58.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	505	880
1	2549	751
2	5002	751

prune185.0ms

Filtered

74 candidates to 161 candidates (-117.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	161	3	164

Merged error: 0b

Counts

164 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (pow x 7))
0.1b	(* (sqrt 2.0) (+ (/ 1 (pow x 7)) (+ (/ 1 (pow x 5)) (pow x -3))))
0.1b	(* (sqrt 2.0) (* (sqrt 2.0) (+ (/ 1 (pow x 7)) (+ (/ 1 (pow x 5)) (pow x -3)))))
0.2b	(/ 1 (pow x 5))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
42×	`times-frac`
41×	`add-cube-cbrt`
29×	`add-exp-log`
24×	`unpow-prod-down`
15×	`add-cbrt-cube`
14×	`associate-/r*`
12×	`associate-r/` `div-exp` `associate-l*`
11×	`pow1`
10×	`associate-r` `distribute-lft-out`
8×	`sqr-pow`
7×	`sqrt-prod` `div-inv`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `associate-/l*`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`flip3-+` `pow-prod-down` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `add-log-exp`
2×	`cbrt-undiv` `pow-flip` `frac-2neg` `clear-num` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 169

Calls

4 calls:

5.0ms	(/ 1 (pow x 7))
29.0ms	(* (sqrt 2.0) (+ (/ 1 (pow x 7)) (+ (/ 1 (pow x 5)) (pow x -3))))
28.0ms	(* (sqrt 2.0) (* (sqrt 2.0) (+ (/ 1 (pow x 7)) (+ (/ 1 (pow x 5)) (pow x -3)))))
5.0ms	(/ 1 (pow x 5))

series25.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (pow x 7))
7.0ms	(* (sqrt 2.0) (+ (/ 1 (pow x 7)) (+ (/ 1 (pow x 5)) (pow x -3))))
9.0ms	(* (sqrt 2.0) (* (sqrt 2.0) (+ (/ 1 (pow x 7)) (+ (/ 1 (pow x 5)) (pow x -3)))))
4.0ms	(/ 1 (pow x 5))

simplify80.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	583	1288
1	3163	1083
2	5001	1083

prune261.0ms

Filtered

85 candidates to 181 candidates (-112.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	181	3	184

Merged error: 0b

Counts

184 → 3

regimes78.0ms

Accuracy

92.2% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 10.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	29
1	38	29

end0.0ms

analyze6.0ms

Algorithm: search

sample787.0ms

Algorithm

intervals

Results

274.0ms	1901×	body	640	valid
164.0ms	4126×	body	80	valid
105.0ms	927×	body	320	valid
103.0ms	557×	body	1280	valid
39.0ms	489×	body	160	valid

Details

analyze6.0ms

sample31.0ms

simplify15.0ms

prune2.0ms

localize8.0ms

rewrite60.0ms

series17.0ms

simplify46.0ms

prune181.0ms

localize13.0ms

rewrite82.0ms

series19.0ms

simplify87.0ms

prune239.0ms

localize12.0ms

rewrite55.0ms

series24.0ms

simplify58.0ms

prune185.0ms

localize14.0ms

rewrite72.0ms

series25.0ms

simplify80.0ms

prune261.0ms

regimes78.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze6.0ms

sample787.0ms

Profiling