Details

sample66.0ms

Algorithm

intervals

Results

32.0ms	111×	body	1280	valid
13.0ms	77×	body	640	valid
6.0ms	251×	body	80	valid
5.0ms	45×	body	320	valid
1.0ms	14×	body	160	valid

simplify220.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	103	5
7	250	5
8	1252	5
9	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize6.0ms

Local error

Found 1 expressions with local error:

5.1b	(- (exp x) (exp (- x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

6.0ms

(- (exp x) (exp (- x)))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(- (exp x) (exp (- x)))

simplify580.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	100	120
1	257	108
2	763	107
3	4896	105
4	5001	105

prune45.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.0b	(+ (* 1/60 (pow x 5)) (* 2 x))
0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`cube-mult` `associate-+r+` `unpow3`

Counts

4 → 80

Calls

4 calls:

8.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
3.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series278.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
132.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
50.0ms	(* 1/60 (pow x 5))
36.0ms	(* 1/3 (pow x 3))

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	354	458
1	1537	430
2	5002	429

prune192.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x))
0.0b	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`cube-mult` `associate-+l+` `unpow3`

Counts

4 → 80

Calls

4 calls:

15.0ms	(+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x))
3.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series280.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x))
134.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
47.0ms	(* 1/60 (pow x 5))
39.0ms	(* 1/3 (pow x 3))

simplify52.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	348	479
1	1530	450
2	5001	449

prune195.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

921.0ms	3295×	body	1280	valid
410.0ms	2514×	body	640	valid
190.0ms	8127×	body	80	valid
128.0ms	1286×	body	320	valid
38.0ms	633×	body	160	valid