Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	71×	body	640	valid
6.0ms	132×	body	80	valid
4.0ms	41×	body	320	valid
1.0ms	12×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	15	5
2	15	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
2.9b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
55×	`times-frac`
50×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
25×	`distribute-lft-out--`
10×	`distribute-lft-out`
9×	`associate-/r*`
8×	`difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1` `flip--`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip-+`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 102

Calls

3 calls:

5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ 1.0 (+ x 1.0))
51.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series239.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1.0 (- x 1.0))
25.0ms	(/ 1.0 (+ x 1.0))
179.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	387	679
1	1331	648
2	5001	644

prune198.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.2b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
9.7b	(- (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (/ 1.0 (- x 1.0)))
14.6b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
40×	`times-frac`
32×	`add-cube-cbrt`
18×	`associate-l`
13×	`add-exp-log` `add-cbrt-cube`
12×	`difference-of-squares`
9×	`associate-/r*` `flip--`
8×	`flip3--`
7×	`associate-/r/`
6×	`pow1` `associate-/l*` `distribute-lft-out--` `add-log-exp`
5×	`sub-neg` `associate-r` `frac-sub`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `associate--l+`
3×	`cbrt-undiv` `div-exp` `div-inv`
2×	`frac-2neg` `associate-*l/` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 139

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
19.0ms	(- (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (/ 1.0 (- x 1.0)))
24.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0))

series382.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 1.0 (- x 1.0))
53.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
252.0ms	(- (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0)) (/ 1.0 (- x 1.0)))
49.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- x 1.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	635	1245
1	3094	1162
2	5002	1154

prune304.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (- 2.0) (pow x 6)) (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
0.1b	(/ (- 2.0) (pow x 6))
0.2b	(/ 1 (pow x 2))
0.4b	(/ 1 (pow x 4))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

115×	`times-frac`
83×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
57×	`unpow-prod-down`
27×	`add-exp-log`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`associate-/r*`
19×	`sqr-pow`
16×	`associate-/l*`
15×	`div-exp`
10×	`add-cbrt-cube`
8×	`neg-mul-1`
7×	`pow-to-exp` `pow-exp`
6×	`rec-exp` `1-exp` `add-log-exp`
4×	`pow1` `unpow2`
3×	`cbrt-undiv` `frac-2neg` `associate-*r/` `clear-num` `frac-sub` `div-inv`
2×	`neg-sub0` `pow-flip` `div-sub` `associate--r+` `inv-pow`
1×	`associate--l-` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `diff-log` `distribute-frac-neg` `frac-add` `flip--` `flip-+`

Counts

4 → 231

Calls

4 calls:

52.0ms	(- (/ (- 2.0) (pow x 6)) (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
6.0ms	(/ (- 2.0) (pow x 6))
4.0ms	(/ 1 (pow x 2))
4.0ms	(/ 1 (pow x 4))

series157.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (/ (- 2.0) (pow x 6)) (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
53.0ms	(/ (- 2.0) (pow x 6))
16.0ms	(/ 1 (pow x 2))
32.0ms	(/ 1 (pow x 4))

simplify100.0ms

Algorithm

egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	766	1559
1	3496	1334
2	5001	1283

prune446.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (- 2.0) (pow x 6)) (* 2.0 (+ (pow x (- 2)) (/ 1 (pow x 4)))))
0.1b	(/ (- 2.0) (pow x 6))
0.4b	(/ 1 (pow x 4))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

91×	`times-frac`
65×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
45×	`unpow-prod-down`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
17×	`add-exp-log`
15×	`sqr-pow`
14×	`associate-/r*`
13×	`associate-/l*`
9×	`div-exp`
8×	`neg-mul-1`
7×	`add-cbrt-cube`
5×	`add-log-exp`
4×	`pow-to-exp` `associate-*r/` `pow-exp` `frac-sub`
3×	`pow1` `neg-sub0` `rec-exp` `1-exp`
2×	`cbrt-undiv` `frac-2neg` `div-sub` `frac-add` `clear-num` `div-inv` `associate--r+`
1×	`associate--l-` `distribute-rgt-in` `pow-neg` `sub-neg` `flip3--` `pow-flip` `distribute-lft-in` `flip3-+` `diff-log` `distribute-frac-neg` `flip--` `flip-+` `inv-pow` `pow-sub`

Counts

3 → 175

Calls

3 calls:

53.0ms	(- (/ (- 2.0) (pow x 6)) (* 2.0 (+ (pow x (- 2)) (/ 1 (pow x 4)))))
6.0ms	(/ (- 2.0) (pow x 6))
4.0ms	(/ 1 (pow x 4))

series140.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- (/ (- 2.0) (pow x 6)) (* 2.0 (+ (pow x (- 2)) (/ 1 (pow x 4)))))
48.0ms	(/ (- 2.0) (pow x 6))
32.0ms	(/ 1 (pow x 4))

simplify77.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	679	1356
1	3266	1259
2	5001	1240

prune407.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.2b

bsearch107.0ms

Steps

Iters	Range		Point
10	4.8244160186105205e-08	257763.20554958374	226.88116188083188
10	-772.3369502403921	-4.163765984402517e-10	-202.21834799239102

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	19
1	41	19

end0.0ms

sample651.0ms

Algorithm

intervals

Results

221.0ms	1926×	body	640	valid
174.0ms	4193×	body	80	valid
116.0ms	1293×	body	320	valid
40.0ms	588×	body	160	valid