Details

sample55.0ms

Algorithm

intervals

Results

23.0ms	116×	body	5120	exit
7.0ms	206×	body	80	valid
6.0ms	20×	body	640	valid
4.0ms	146×	body	80	overflowed
2.0ms	19×	body	320	valid
1.0ms	12×	body	160	valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	107	9
3	224	8
4	1514	8
5	5002	8

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 11.8b

Counts

2 → 2

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))
3.3b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
118×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
24×	`associate-/l*`
21×	`distribute-lft-out`
13×	`add-cbrt-cube`
12×	`associate-/r/`
11×	`add-exp-log` `associate-/r*`
9×	`add-log-exp`
7×	`flip3-+` `flip-+` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
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 → 176

Calls

4 calls:

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

series146.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ wj (+ wj 1))
23.0ms	(/ x (+ wj 1))
40.0ms	(/ (/ x (+ wj 1)) (exp wj))
60.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify83.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	721	1524
1	3303	1471
2	5002	1469

prune383.0ms

Filtered

188 candidates to 138 candidates (73.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	184	4	188
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	185	5	190

Merged error: 0.1b

Counts

190 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log`
1×	`sub-neg` `flip3--` `associate-r` `associate--l+` `sum-log` `*-commutative` `flip--`

Counts

2 → 32

Calls

2 calls:

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

series54.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
20.0ms	(* 2 (* wj x))

simplify112.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	162	194
1	645	176
2	3837	174
3	5001	174

prune61.0ms

Filtered

38 candidates to 22 candidates (57.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	37	6	43

Merged error: 0.1b

Counts

43 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.3b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
3.3b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt` `times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
5×	`distribute-rgt-out` `distribute-rgt1-in` `associate-/r*`
3×	`associate-r` `associate-l` `associate-/l*`
2×	`flip3--` `flip3-+` `div-sub` `associate-/r/` `flip--` `flip-+` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out--` `associate--r-` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

5.0ms	(* wj (exp wj))
4.0ms	(+ (exp wj) (* wj (exp wj)))
9.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
13.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series163.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* wj (exp wj))
37.0ms	(+ (exp wj) (* wj (exp wj)))
40.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
56.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	394	942
1	1478	877
2	5001	855

prune199.0ms

Filtered

99 candidates to 81 candidates (81.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	99	6	105

Merged error: 0.1b

Counts

105 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x (pow wj 2)) (* 2 (* wj x)))
0.0b	(* 2 (* wj x))
3.2b	(exp (log (- (+ x (pow wj 2)) (* 2 (* wj x)))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`exp-prod`
3×	`log-prod` `associate-l` `exp-sum` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`log-div` `flip3--` `exp-diff` `diff-log` `flip--`
1×	`sub-neg` `associate-r` `associate--l+` `sum-log` `log-pow` `*-commutative` `rem-exp-log`

Counts

3 → 49

Calls

3 calls:

7.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
5.0ms	(* 2 (* wj x))
8.0ms	(exp (log (- (+ x (pow wj 2)) (* 2 (* wj x)))))

series82.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
19.0ms	(* 2 (* wj x))
34.0ms	(exp (log (- (+ x (pow wj 2)) (* 2 (* wj x)))))

simplify116.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	202	366
1	706	336
2	3930	321
3	5001	315

prune94.0ms

Filtered

58 candidates to 34 candidates (58.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	58	6	64

Merged error: 0.1b

Counts

64 → 6

regimes105.0ms

Accuracy

33.5% (1.1b remaining)

Error of 1.4b against oracle of 0.3b and baseline of 1.9b

bsearch35.0ms

Steps

Iters	Range		Point
8	-4.3160224528650695e-07	-6.165672362765855e-10	-5.835378867376918e-09

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	14
1	22	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

782.0ms	3787×	body	5120	exit
220.0ms	6330×	body	80	valid
123.0ms	3898×	body	80	overflowed
86.0ms	775×	body	320	valid
72.0ms	434×	body	640	valid
38.0ms	554×	body	160	valid

Details

sample55.0ms

simplify49.0ms

prune6.0ms

localize9.0ms

rewrite59.0ms

series146.0ms

simplify83.0ms

prune383.0ms

localize7.0ms

rewrite13.0ms

series54.0ms

simplify112.0ms

prune61.0ms

localize8.0ms

rewrite33.0ms

series163.0ms

simplify49.0ms

prune199.0ms

localize10.0ms

rewrite21.0ms

series82.0ms

simplify116.0ms

prune94.0ms

regimes105.0ms

bsearch35.0ms

simplify1.0ms

end0.0ms

sample1.6s

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