Details

sample61.0ms

Algorithm

intervals

Results

29.0ms	128×	body	5120	exit
8.0ms	205×	body	80	valid
4.0ms	117×	body	80	overflowed
4.0ms	23×	body	640	valid
2.0ms	18×	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	5001	8

prune7.0ms

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: 11.9b

Counts

2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(* wj (exp wj))
0.0b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
3.2b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

5.0ms	(* wj (exp wj))
5.0ms	(* wj (exp wj))
11.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
13.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series169.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* wj (exp wj))
30.0ms	(* wj (exp wj))
47.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
58.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify48.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	368	913
1	1407	859
2	5001	845

prune218.0ms

Filtered

104 candidates to 81 candidates (77.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	103	3	106

Merged error: 0.1b

Counts

106 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

3.0ms	(+ x (* wj (- wj (* x 2))))
6.0ms	(* wj (- wj (* x 2)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ x (* wj (- wj (* x 2))))
51.0ms	(* wj (- wj (* x 2)))

simplify129.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	185	229
1	733	208
2	3921	207
3	5001	207

prune66.0ms

Filtered

45 candidates to 28 candidates (62.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	43	5	48

Merged error: 0.1b

Counts

48 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp wj) (* wj (exp wj)))
0.0b	(/ x (+ (exp wj) (* wj (exp wj))))
0.0b	(* wj (exp wj))
6.2b	(- wj (/ wj (/ (* (+ wj 1) (exp wj)) (exp wj))))

rewrite30.0ms

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-+` `associate-/r/` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

4.0ms	(+ (exp wj) (* wj (exp wj)))
6.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
5.0ms	(* wj (exp wj))
13.0ms	(- wj (/ wj (/ (* (+ wj 1) (exp wj)) (exp wj))))

series146.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (exp wj) (* wj (exp wj)))
52.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
30.0ms	(* wj (exp wj))
27.0ms	(- wj (/ wj (/ (* (+ wj 1) (exp wj)) (exp wj))))

simplify52.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	362	710
1	1416	637
2	5001	604

prune212.0ms

Filtered

95 candidates to 77 candidates (81.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	96	4	100

Merged error: 0.0b

Counts

100 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.0b	(/ x (+ (exp wj) (* wj (exp wj))))
0.0b	(* wj (exp wj))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

13.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
4.0ms	(+ (exp wj) (* wj (exp wj)))
5.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
5.0ms	(* wj (exp wj))

series148.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
36.0ms	(+ (exp wj) (* wj (exp wj)))
47.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
34.0ms	(* wj (exp wj))

simplify51.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	376	700
1	1437	644
2	5001	625

prune279.0ms

Filtered

100 candidates to 77 candidates (77.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	100	4	104

Merged error: 0.0b

Counts

104 → 4

regimes45.0ms

Accuracy

0% (1.5b remaining)

Error of 2.1b against oracle of 0.6b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample1.8s

Algorithm

intervals

Results

910.0ms	3809×	body	5120	exit
245.0ms	6289×	body	80	valid
137.0ms	3722×	body	80	overflowed
95.0ms	793×	body	320	valid
90.0ms	474×	body	640	valid
47.0ms	522×	body	160	valid