Details

sample69.0ms

Algorithm

intervals

Results

45.0ms	234×	body	10240	exit
6.0ms	206×	body	80	valid
3.0ms	31×	body	320	valid
2.0ms	14×	body	640	valid
1.0ms	9×	body	160	valid

simplify49.0ms

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

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: 12.6b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ x (+ wj 1))
0.3b	(/ (/ x (+ wj 1)) (exp wj))
3.8b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-2neg` `flip3-+` `clear-num` `associate-/r/` `frac-sub` `flip-+`
4×	`div-inv`
3×	`associate-/l/` `associate-/l*`
2×	`associate--l+`
1×	`+-commutative` `sub-neg` `flip3--` `flip--`

Counts

4 → 31

Calls

4 calls:

3.0ms	(/ wj (+ wj 1))
3.0ms	(/ x (+ wj 1))
4.0ms	(/ (/ x (+ wj 1)) (exp wj))
8.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ wj (+ wj 1))
28.0ms	(/ x (+ wj 1))
39.0ms	(/ (/ x (+ wj 1)) (exp wj))
59.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify49.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	347	445
1	1600	428
2	5002	408

prune127.0ms

Filtered

43 candidates to 36 candidates (83.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	39	6	45

Merged error: 0.3b

Counts

45 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `flip--`

Counts

2 → 7

Calls

2 calls:

2.0ms	(- x (* 2 (* wj x)))
3.0ms	(* 2 (* wj x))

series68.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- x (* 2 (* wj x)))
25.0ms	(* 2 (* wj x))

simplify45.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	60	46
1	211	43
2	1018	42
3	5002	41

prune33.0ms

Filtered

13 candidates to 6 candidates (46.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	13	6	19

Merged error: 0.3b

Counts

19 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ x (+ wj 1))
0.3b	(/ (/ x (+ wj 1)) (exp wj))
5.1b	(- wj (/ wj (+ wj 1)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-/r/`
4×	`frac-2neg` `clear-num` `div-inv`
3×	`flip3-+` `flip-+` `associate-/l/` `associate-/l*`
1×	`sub-neg` `flip3--` `flip--`

Counts

4 → 23

Calls

4 calls:

3.0ms	(/ wj (+ wj 1))
3.0ms	(/ x (+ wj 1))
4.0ms	(/ (/ x (+ wj 1)) (exp wj))
2.0ms	(- wj (/ wj (+ wj 1)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ wj (+ wj 1))
22.0ms	(/ x (+ wj 1))
45.0ms	(/ (/ x (+ wj 1)) (exp wj))
26.0ms	(- wj (/ wj (+ wj 1)))

simplify125.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	213	167
1	858	162
2	3354	158
3	5001	155

prune98.0ms

Filtered

35 candidates to 28 candidates (80.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	36	5	41

Merged error: 0.0b

Counts

41 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow wj 4) (pow wj 3))
0.0b	(+ (/ (/ x (+ wj 1)) (exp wj)) (fma wj wj (- (pow wj 4) (pow wj 3))))
0.0b	(/ x (+ wj 1))
0.3b	(/ (/ x (+ wj 1)) (exp wj))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`sqr-pow`
4×	`associate-/r/` `div-inv`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/` `associate-/l*`
2×	`prod-diff`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `fma-def` `fma-neg` `unpow3` `flip--` `fma-udef` `difference-of-squares`

Counts

4 → 27

Calls

4 calls:

4.0ms	(- (pow wj 4) (pow wj 3))
6.0ms	(+ (/ (/ x (+ wj 1)) (exp wj)) (fma wj wj (- (pow wj 4) (pow wj 3))))
3.0ms	(/ x (+ wj 1))
4.0ms	(/ (/ x (+ wj 1)) (exp wj))

series240.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (pow wj 4) (pow wj 3))
87.0ms	(+ (/ (/ x (+ wj 1)) (exp wj)) (fma wj wj (- (pow wj 4) (pow wj 3))))
23.0ms	(/ x (+ wj 1))
47.0ms	(/ (/ x (+ wj 1)) (exp wj))

simplify195.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	274	242
1	1046	230
2	4813	222
3	5001	222

prune112.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	40	4	44

Merged error: 0.0b

Counts

44 → 4

regimes67.0ms

Accuracy

74.9% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 1.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	35
1	46	35

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.6s	7330×	body	10240	exit
186.0ms	6278×	body	80	valid
78.0ms	824×	body	320	valid
69.0ms	450×	body	640	valid
32.0ms	529×	body	160	valid