Details

sample67.0ms

Algorithm

intervals

Results

32.0ms	115×	body	1280	valid
13.0ms	77×	body	640	valid
7.0ms	279×	body	80	valid
4.0ms	38×	body	320	valid
1.0ms	20×	body	160	valid

simplify217.0ms

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: 58.8b

localize9.0ms

Local error

Found 1 expressions with local error:

5.8b	(- (exp x) (exp (- x)))

rewrite5.0ms

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:

5.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify582.0ms

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

prune52.0ms

Filtered

17 candidates to 14 candidates (82.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `flip3-+` `unpow3` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

4.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series216.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
45.0ms	(* 1/60 (pow x 5))
39.0ms	(* 1/3 (pow x 3))

simplify41.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	281	301
1	1179	277
2	5002	276

prune173.0ms

Filtered

76 candidates to 48 candidates (63.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (- (exp x) (exp (* -1 x))) 3)
0.3b	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
5.8b	(- (exp x) (exp (* -1 x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod`
10×	`unpow-prod-down` `cube-prod`
9×	`add-cube-cbrt`
5×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 70

Calls

3 calls:

5.0ms	(pow (- (exp x) (exp (* -1 x))) 3)
8.0ms	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
4.0ms	(- (exp x) (exp (* -1 x)))

series126.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(pow (- (exp x) (exp (* -1 x))) 3)
32.0ms	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
32.0ms	(- (exp x) (exp (* -1 x)))

simplify33.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	235	617
1	831	587
2	5002	573

prune133.0ms

Filtered

79 candidates to 42 candidates (53.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))) (+ (exp x) (exp (* -1 x))))
5.6b	(+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
20×	`times-frac`
18×	`distribute-lft-out`
13×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-rgt-neg-in` `add-log-exp`
5×	`associate-/l*`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
3×	`flip3-+` `div-sub` `flip-+`
2×	`pow1` `neg-sub0` `associate-+r-` `unsub-neg` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `neg-log` `clear-num` `div-inv`

Counts

2 → 65

Calls

2 calls:

19.0ms	(/ (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))) (+ (exp x) (exp (* -1 x))))
11.0ms	(+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))

series131.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(/ (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))) (+ (exp x) (exp (* -1 x))))
47.0ms	(+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	291	1128
1	1112	956
2	5001	918

prune150.0ms

Filtered

71 candidates to 43 candidates (60.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b 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

sample2.0s

Algorithm

intervals

Results

979.0ms	3455×	body	1280	valid
426.0ms	2465×	body	640	valid
200.0ms	8151×	body	80	valid
133.0ms	1197×	body	320	valid
41.0ms	609×	body	160	valid