Details

sample63.0ms

Algorithm

intervals

Results

29.0ms	104×	body	1280	valid
13.0ms	88×	body	640	valid
5.0ms	250×	body	80	valid
4.0ms	39×	body	320	valid
1.0ms	18×	body	160	valid

simplify218.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize6.0ms

Local error

Found 1 expressions with local error:

5.9b	(- (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)))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify606.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (29.0ms)

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

prune46.0ms

Filtered

17 candidates to 14 candidates (82.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 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))
0.2b	(* 1/3 (pow x 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

9.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms	(* 1/60 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series146.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
51.0ms	(* 1/60 (pow x 5))
35.0ms	(* 1/3 (pow x 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	300	375
1	1301	346
2	5001	346

prune163.0ms

Filtered

78 candidates to 49 candidates (62.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (pow x 3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`associate-r`
12×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp` `add-cbrt-cube`
4×	`cube-prod` `sqr-pow`
2×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
1×	`cube-mult` `unpow3`

Counts

2 → 56

Calls

2 calls:

5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series83.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* 1/60 (pow x 5))
38.0ms	(* 1/3 (pow x 3))

simplify190.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	208	221
1	871	199
2	4632	199
3	5001	199

prune124.0ms

Filtered

62 candidates to 38 candidates (61.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (exp x) (- (exp x) (pow (exp x) -3)))
0.0b	(pow (exp x) -3)
5.8b	(- (exp x) (pow (exp x) -3))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`add-log-exp`
7×	`pow1` `associate-r`
6×	`add-cbrt-cube` `difference-of-squares`
5×	`add-exp-log` `unpow-prod-down`
4×	`pow-pow`
3×	`sub-neg` `pow-unpow` `exp-prod` `associate-l` `sqr-pow`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`+-commutative` `pow-to-exp` `flip3-+` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
29.0ms	(* (exp x) (- (exp x) (pow (exp x) -3)))
2.0ms	(pow (exp x) -3)
7.0ms	(- (exp x) (pow (exp x) -3))

series187.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
89.0ms	(* (exp x) (- (exp x) (pow (exp x) -3)))
32.0ms	(pow (exp x) -3)
44.0ms	(- (exp x) (pow (exp x) -3))

simplify52.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	334	556
1	1434	510
2	5001	498

prune196.0ms

Filtered

88 candidates to 65 candidates (73.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

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

945.0ms	3452×	body	1280	valid
391.0ms	2423×	body	640	valid
193.0ms	8359×	body	80	valid
119.0ms	1234×	body	320	valid
37.0ms	610×	body	160	valid