Details

sample278.0ms

Algorithm: halfpoints

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	47	7
2	84	7
3	121	7
4	206	7
5	410	7
6	1017	7
7	2074	7
8	5001	7

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 44.7b

Counts

2 → 1

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.9b	(- (exp x) (exp (- x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 21

Calls

4 calls:

5.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
3.0ms	(+ (exp x) (exp (- x)))
5.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
2.0ms	(- (exp x) (exp (- x)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms	(+ (exp x) (exp (- x)))
80.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms	(- (exp x) (exp (- x)))

simplify122.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	197	194
1	710	188
2	3706	184
3	5002	184

prune140.0ms

Filtered

33 candidates to 28 candidates (84.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	3	34

Merged error: 0.1b

Counts

34 → 3

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
0.1b	(* 1/3 (pow x 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-*l/`
3×	`associate-r` `*-commutative`
2×	`flip3-+` `flip-+` `associate-/l/` `sqr-pow`
1×	`+-commutative` `frac-2neg` `unpow3` `associate-l` `clear-num` `div-inv`

Counts

4 → 15

Calls

4 calls:

3.0ms	(+ (exp x) (exp (- x)))
3.0ms	(* 1/60 (pow x 5))
9.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
3.0ms	(* 1/3 (pow x 3))

series204.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (exp x) (exp (- x)))
47.0ms	(* 1/60 (pow x 5))
90.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
39.0ms	(* 1/3 (pow x 3))

simplify164.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	188	131
1	698	124
2	4200	122
3	5002	122

prune126.0ms

Filtered

27 candidates to 19 candidates (70.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	25	5	30

Merged error: 0.1b

Counts

30 → 5

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))
0.3b	(/ (sin y) (/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-/r/`
3×	`frac-2neg` `associate-r` `clear-num` `associate-/r*` `div-inv`
2×	`flip3-+` `*-commutative` `flip-+` `sqr-pow`
1×	`unpow3`

Counts

4 → 19

Calls

4 calls:

7.0ms	(/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
3.0ms	(* 1/60 (pow x 5))
3.0ms	(* 1/3 (pow x 3))
9.0ms	(/ (sin y) (/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))

series358.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
46.0ms	(* 1/60 (pow x 5))
40.0ms	(* 1/3 (pow x 3))
177.0ms	(/ (sin y) (/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))

simplify85.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	188	194
1	596	189
2	2505	182
3	5003	182

prune152.0ms

Filtered

31 candidates to 22 candidates (71.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	29	7	36

Merged error: 0.0b

Counts

36 → 7

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))
0.2b	(/ (/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (sin y))
0.9b	(/ 1 (/ (/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (sin y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`associate-/r/`
7×	`clear-num` `associate-/l/`
6×	`associate-/l*`
5×	`frac-2neg` `div-inv`
3×	`associate-r`
2×	`flip3-+` `*-commutative` `flip-+` `remove-double-div` `sqr-pow`
1×	`unpow3` `associate-/r*` `inv-pow`

Counts

4 → 30

Calls

4 calls:

3.0ms	(* 1/60 (pow x 5))
3.0ms	(* 1/3 (pow x 3))
9.0ms	(/ (/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (sin y))
10.0ms	(/ 1 (/ (/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (sin y)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* 1/60 (pow x 5))
36.0ms	(* 1/3 (pow x 3))
95.0ms	(/ (/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (sin y))
91.0ms	(/ 1 (/ (/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (sin y)))

simplify142.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	229	258
1	807	249
2	4123	233
3	5001	232

prune164.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	40	9	49

Merged error: 0.0b

Counts

49 → 9

regimes125.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	19
1	35	19

end0.0ms

sample6.0s

Algorithm: halfpoints