Details

sample78.0ms

Algorithm

intervals

Results

50.0ms	279×	body	10240	exit
10.0ms	208×	body	80	valid
3.0ms	26×	body	320	valid
2.0ms	11×	body	640	valid
1.0ms	13×	body	160	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

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: 11.6b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (+ wj 1)) (exp wj))
0.0b	(/ x (+ wj 1))
0.0b	(/ wj (+ wj 1))
4.3b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite67.0ms

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:

9.0ms	(/ (/ x (+ wj 1)) (exp wj))
5.0ms	(/ x (+ wj 1))
8.0ms	(/ wj (+ wj 1))
32.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series141.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (/ x (+ wj 1)) (exp wj))
22.0ms	(/ x (+ wj 1))
20.0ms	(/ wj (+ wj 1))
57.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify120.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	1012	4140
1	4552	3266
2	5001	3260

prune513.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

7.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
5.0ms	(+ x (pow wj 2))
5.0ms	(* 2 (* wj x))

series80.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
31.0ms	(+ x (pow wj 2))
19.0ms	(* 2 (* wj x))

simplify37.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	237	340
1	926	292
2	5001	274

prune139.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ x (pow wj 2)) (* 2 (* wj x)))
0.0b	(+ x (pow wj 2))
0.0b	(* 2 (* wj x))
2.8b	(exp (log (- (+ x (pow wj 2)) (* 2 (* wj x)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

11.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
5.0ms	(+ x (pow wj 2))
5.0ms	(* 2 (* wj x))
8.0ms	(exp (log (- (+ x (pow wj 2)) (* 2 (* wj x)))))

series108.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
28.0ms	(+ x (pow wj 2))
18.0ms	(* 2 (* wj x))
29.0ms	(exp (log (- (+ x (pow wj 2)) (* 2 (* wj x)))))

simplify38.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	276	524
1	987	454
2	5001	420

prune195.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes55.0ms

Accuracy

63.5% (0.6b remaining)

Error of 1.2b against oracle of 0.6b and baseline of 2.3b

bsearch34.0ms

Steps

Iters	Range		Point
8	1.7609357123327368e-10	9.598072339636849e-08	7.797590991129306e-08

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	24
1	35	24

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.5s	7700×	body	10240	exit
190.0ms	6334×	body	80	valid
74.0ms	772×	body	320	valid
62.0ms	429×	body	640	valid
32.0ms	531×	body	160	valid