Details

sample102.0ms

Algorithm: halfpoints

simplify59.0ms

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

prune6.0ms

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: 0.0b

Counts

2 → 1

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
38.2b	(- (exp x) (exp (- x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

5.0ms	(+ (exp x) (exp (- x)))
11.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
5.0ms	(- (exp x) (exp (- x)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (exp x) (exp (- x)))
79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
39.0ms	(- (exp x) (exp (- x)))

simplify34.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	345	606
1	1108	537
2	5001	536

prune227.0ms

Filtered

73 candidates to 57 candidates (78.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	4	74

Merged error: 0b

Counts

74 → 4

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.0b	(pow (+ (exp (* -1 x)) (exp x)) 3)
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
38.2b	(- (exp x) (exp (- x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
19×	`associate-l`
17×	`add-cube-cbrt`
16×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
4×	`unpow-prod-down` `cube-prod` `distribute-lft-out--` `difference-of-squares`
3×	`pow-unpow` `associate-r` `distribute-lft-out`
2×	`cube-div` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `diff-log` `unpow3` `div-exp` `pow-prod-down` `associate-l/` `pow-exp` `sum-log` `-commutative` `flip--` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 91

Calls

4 calls:

5.0ms	(+ (exp (* -1 x)) (exp x))
6.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)
10.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
5.0ms	(- (exp x) (exp (- x)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp (* -1 x)) (exp x))
45.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)
79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
39.0ms	(- (exp x) (exp (- x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	462	827
1	1714	734
2	5001	730

prune349.0ms

Filtered

103 candidates to 70 candidates (68.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	103	4	107

Merged error: 0b

Counts

107 → 4

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.1b	(* 1/12 (pow x 4))
38.2b	(- (exp x) (exp (- x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
22×	`associate-l`
17×	`add-cube-cbrt`
16×	`times-frac`
14×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-r`
6×	`pow1`
5×	`prod-exp` `unswap-sqr`
4×	`unpow-prod-down` `distribute-lft-out--` `difference-of-squares`
3×	`sum-log` `cbrt-unprod`
2×	`*-commutative` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `associate-*l/` `pow-exp` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 91

Calls

4 calls:

8.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
11.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
5.0ms	(* 1/12 (pow x 4))
5.0ms	(- (exp x) (exp (- x)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms	(* 1/12 (pow x 4))
39.0ms	(- (exp x) (exp (- x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	477	732
1	1789	659
2	5001	655

prune346.0ms

Filtered

103 candidates to 72 candidates (69.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	103	4	107

Merged error: 0b

Counts

107 → 4

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
38.2b	(+ (exp (+ x x)) (- (exp (+ (- x) (- x)))))
38.2b	(- (exp x) (exp (* -1 x)))
38.2b	(- (exp x) (exp (- x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
19×	`associate-l`
16×	`times-frac`
14×	`add-cube-cbrt`
12×	`add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`distribute-lft-out--` `difference-of-squares`
3×	`associate-r`
2×	`sub-neg` `flip3--` `diff-log` `prod-exp` `sum-log` `flip--` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `associate-+r-` `distribute-rgt-neg-in` `flip3-+` `div-exp` `unsub-neg` `pow-prod-down` `neg-log` `associate-l/` `-commutative` `flip-+` `div-inv`

Counts

4 → 83

Calls

4 calls:

11.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
20.0ms	(+ (exp (+ x x)) (- (exp (+ (- x) (- x)))))
4.0ms	(- (exp x) (exp (* -1 x)))
5.0ms	(- (exp x) (exp (- x)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
45.0ms	(+ (exp (+ x x)) (- (exp (+ (- x) (- x)))))
167.0ms	(- (exp x) (exp (* -1 x)))
35.0ms	(- (exp x) (exp (- x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	455	814
1	1453	702
2	5001	685

prune395.0ms

Filtered

95 candidates to 70 candidates (73.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	95	4	99

Merged error: 0b

Counts

99 → 4

regimes94.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	16
1	19	16

end0.0ms

sample2.3s

Algorithm: halfpoints