Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	199×	body	80	valid
6.0ms	244×	body	80	overflowed
3.0ms	31×	body	320	valid
1.0ms	10×	body	640	valid
1.0ms	17×	body	160	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	21	9
1	52	9
2	113	9
3	240	8
4	1625	8
5	5001	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ x (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
4.6b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite680.0ms

Algorithm

rewrite-expression-head

Rules

231×	`*-un-lft-identity`
175×	`times-frac`
129×	`add-sqr-sqrt`
124×	`add-cube-cbrt`
72×	`prod-diff`
52×	`distribute-lft-out`
24×	`associate-/l*`
20×	`associate-/r/`
13×	`add-cbrt-cube`
11×	`add-exp-log` `flip3-+` `associate-/r*` `flip-+` `div-inv`
9×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
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 → 260

Calls

4 calls:

12.0ms	(/ wj (+ wj 1))
11.0ms	(/ x (+ wj 1))
24.0ms	(/ (/ x (+ wj 1)) (exp wj))
620.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series127.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ wj (+ wj 1))
20.0ms	(/ x (+ wj 1))
40.0ms	(/ (/ x (+ wj 1)) (exp wj))
49.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify125.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	1015	4090
1	4555	3249
2	5001	3243

prune495.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x (pow wj 2)) (* 2 (* wj x)))
0.0b	(* 2 (* wj x))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`fma-neg` `prod-diff`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `diff-log` `log1p-expm1-u` `distribute-lft-out`
1×	`sub-neg` `flip3--` `associate-r` `associate--l+` `sum-log` `*-commutative` `flip--`

Counts

2 → 44

Calls

2 calls:

90.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
18.0ms	(* 2 (* wj x))

series44.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
17.0ms	(* 2 (* wj x))

simplify35.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	195	282
1	764	240
2	5001	222

prune91.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune8.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (pow wj 2))) (cbrt (+ x (pow wj 2))))
0.6b	(cbrt (+ x (pow wj 2)))
0.6b	(cbrt (+ x (pow wj 2)))
0.6b	(cbrt (+ x (pow wj 2)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

68.0ms	(* (cbrt (+ x (pow wj 2))) (cbrt (+ x (pow wj 2))))
7.0ms	(cbrt (+ x (pow wj 2)))
8.0ms	(cbrt (+ x (pow wj 2)))
8.0ms	(cbrt (+ x (pow wj 2)))

series1.2s

Counts

4 → 12

Calls

4 calls:

264.0ms	(* (cbrt (+ x (pow wj 2))) (cbrt (+ x (pow wj 2))))
310.0ms	(cbrt (+ x (pow wj 2)))
296.0ms	(cbrt (+ x (pow wj 2)))
299.0ms	(cbrt (+ x (pow wj 2)))

simplify175.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	259	918
1	988	867
2	4915	790
3	5001	790

prune315.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.4b

regimes58.0ms

Accuracy

0% (1.8b remaining)

Error of 2.1b against oracle of 0.3b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	8
1	16	8

end0.0ms

sample907.0ms

Algorithm

intervals

Results

208.0ms	7693×	body	80	overflowed
184.0ms	6279×	body	80	valid
68.0ms	468×	body	640	valid
68.0ms	756×	body	320	valid
35.0ms	564×	body	160	valid