Details

sample60.0ms

Algorithm

intervals

Results

39.0ms	225×	body	10240	exit
6.0ms	216×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	7×	body	640	valid
1.0ms	16×	body	160	valid

simplify47.0ms

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: 9.8b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite454.0ms

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:

5.0ms	(/ wj (+ wj 1))
12.0ms	(/ (/ x (+ wj 1)) (exp wj))
5.0ms	(/ x (+ wj 1))
418.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ wj (+ wj 1))
43.0ms	(/ (/ x (+ wj 1)) (exp wj))
22.0ms	(/ x (+ wj 1))
57.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify128.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 2 (90.0ms)

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

prune510.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

6.0ms	(* 2 (* wj x))
8.0ms	(+ x (pow wj 2))

series46.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(* 2 (* wj x))
28.0ms	(+ x (pow wj 2))

simplify67.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	156	135
1	574	114
2	2444	114
3	5001	112

prune95.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2 (* wj x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

6.0ms

(* 2 (* wj x))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(* 2 (* wj x))

simplify77.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	88	72
1	320	62
2	1237	62
3	3448	62
4	5001	62

prune47.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt wj)
0.7b	(cbrt wj)
0.7b	(cbrt wj)
8.0b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ (* (cbrt wj) (cbrt wj)) (/ (+ wj 1) (cbrt wj))))

rewrite445.0ms

Algorithm

rewrite-expression-head

Rules

226×	`*-un-lft-identity`
213×	`times-frac`
132×	`prod-diff`
115×	`add-sqr-sqrt`
105×	`add-cube-cbrt`
59×	`distribute-lft-out`
58×	`cbrt-prod`
9×	`add-log-exp`
8×	`div-inv`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-neg` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u` `difference-of-squares`
3×	`pow1/3`
2×	`diff-log` `frac-sub` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `flip--` `flip-+`

Counts

4 → 199

Calls

4 calls:

0.0ms	(cbrt wj)
0.0ms	(cbrt wj)
1.0ms	(cbrt wj)
430.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ (* (cbrt wj) (cbrt wj)) (/ (+ wj 1) (cbrt wj))))

series784.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt wj)
368.0ms	(cbrt wj)
171.0ms	(cbrt wj)
72.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ (* (cbrt wj) (cbrt wj)) (/ (+ wj 1) (cbrt wj))))

simplify145.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	879	7714
1	3879	5760
2	5001	5733

prune441.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

regimes56.0ms

Accuracy

0% (1.9b remaining)

Error of 2.2b against oracle of 0.3b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.4s	7745×	body	10240	exit
186.0ms	6321×	body	80	valid
75.0ms	457×	body	640	valid
67.0ms	754×	body	320	valid
32.0ms	540×	body	160	valid