Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	4
1	28	4
2	43	4
3	56	4
4	72	4
5	133	4
6	214	4
7	265	4
8	297	4
9	297	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
14×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-sub` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 60

Calls

1 calls:

22.0ms

(/ (- x y) (- 2.0 (+ x y)))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(/ (- x y) (- 2.0 (+ x y)))

simplify130.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	283	498
1	886	475
2	4321	474
3	5001	474

prune106.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 2.0 (+ x y)) (- x y))
0.0b	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

292×	`*-un-lft-identity`
258×	`times-frac`
214×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
83×	`distribute-lft-out--`
57×	`difference-of-squares`
41×	`associate-/r*`
26×	`distribute-lft-out`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube` `associate-/l*`
8×	`div-exp`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

2 → 230

Calls

2 calls:

29.0ms	(/ (- 2.0 (+ x y)) (- x y))
27.0ms	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series178.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(/ (- 2.0 (+ x y)) (- x y))
57.0ms	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	658	2336
1	3150	2130
2	5001	1941

prune278.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 (- x y)) (/ (+ x y) (- x y)))
0.0b	(/ 2.0 (- x y))
0.0b	(/ (+ x y) (- x y))
0.0b	(/ 1 (- (/ 2.0 (- x y)) (/ (+ x y) (- x y))))

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

1383×	`*-un-lft-identity`
1095×	`times-frac`
976×	`add-sqr-sqrt`
546×	`prod-diff`
528×	`add-cube-cbrt`
289×	`distribute-lft-out--`
214×	`difference-of-squares`
146×	`distribute-lft-out`
124×	`associate-/r/`
62×	`flip3--` `flip--`
61×	`div-inv`
35×	`associate-/r*`
21×	`fma-neg`
15×	`distribute-rgt-out--`
12×	`add-exp-log`
10×	`add-cbrt-cube` `associate-/l*`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`cbrt-undiv` `frac-2neg` `clear-num`
2×	`frac-sub` `associate-/l/` `sub-div`
1×	`sub-neg` `rec-exp` `pow-flip` `flip3-+` `diff-log` `1-exp` `flip-+` `inv-pow`

Counts

4 → 816

Calls

4 calls:

82.0ms	(- (/ 2.0 (- x y)) (/ (+ x y) (- x y)))
8.0ms	(/ 2.0 (- x y))
11.0ms	(/ (+ x y) (- x y))
95.0ms	(/ 1 (- (/ 2.0 (- x y)) (/ (+ x y) (- x y))))

series417.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(- (/ 2.0 (- x y)) (/ (+ x y) (- x y)))
46.0ms	(/ 2.0 (- x y))
72.0ms	(/ (+ x y) (- x y))
142.0ms	(/ 1 (- (/ 2.0 (- x y)) (/ (+ x y) (- x y))))

simplify277.0ms

Algorithm

egg-herbie

Counts

828 → 828

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1480	22991
1	4847	16811
2	5001	16811

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (/ 1 (- (/ 2.0 (- x y)) (/ (+ x y) (- x y))))))
0.0b	(/ (+ x y) (- x y))
0.0b	(/ 1 (- (/ 2.0 (- x y)) (/ (+ x y) (- x y))))
2.9b	(log1p (/ 1 (- (/ 2.0 (- x y)) (/ (+ x y) (- x y)))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

311×	`*-un-lft-identity`
223×	`times-frac`
151×	`add-sqr-sqrt`
97×	`distribute-lft-out--`
61×	`add-cube-cbrt`
37×	`difference-of-squares`
34×	`distribute-lft-out`
30×	`associate-/r*`
22×	`associate-/r/`
12×	`distribute-rgt-out--`
10×	`add-exp-log` `flip3--` `flip--` `div-inv`
8×	`add-cbrt-cube`
7×	`associate-/l*`
5×	`pow1` `expm1-log1p-u`
4×	`log1p-expm1-u` `add-log-exp`
3×	`div-exp`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `associate-/l/`
1×	`rec-exp` `log1p-udef` `expm1-log1p` `pow-flip` `flip3-+` `1-exp` `log1p-expm1` `frac-sub` `flip-+` `inv-pow` `expm1-udef` `sub-div`

Counts

4 → 194

Calls

4 calls:

0.0ms	(expm1 (log1p (/ 1 (- (/ 2.0 (- x y)) (/ (+ x y) (- x y))))))
11.0ms	(/ (+ x y) (- x y))
94.0ms	(/ 1 (- (/ 2.0 (- x y)) (/ (+ x y) (- x y))))
0.0ms	(log1p (/ 1 (- (/ 2.0 (- x y)) (/ (+ x y) (- x y)))))

series781.0ms

Counts

4 → 12

Calls

4 calls:

325.0ms	(expm1 (log1p (/ 1 (- (/ 2.0 (- x y)) (/ (+ x y) (- x y))))))
66.0ms	(/ (+ x y) (- x y))
140.0ms	(/ 1 (- (/ 2.0 (- x y)) (/ (+ x y) (- x y))))
249.0ms	(log1p (/ 1 (- (/ 2.0 (- x y)) (/ (+ x y) (- x y)))))

simplify73.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	650	2005
1	2416	1863
2	5001	1749

prune361.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes193.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample430.0ms

Algorithm

intervals

Results

297.0ms	7995×	body	80	valid
1.0ms	4×	body	1280	valid
0.0ms	1×	body	640	valid