Details

sample68.0ms

Algorithm

intervals

Results

32.0ms	116×	body	1280	valid
13.0ms	76×	body	640	valid
7.0ms	197×	body	80	valid
4.0ms	38×	body	320	valid
1.0ms	19×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize6.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (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)))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify558.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (27.0ms)

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

prune47.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite28.0ms

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))
9.0ms	(* 1/3 (pow x 3))

series431.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
296.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
48.0ms	(* 1/60 (pow x 5))
34.0ms	(* 1/3 (pow x 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (43.0ms)

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

prune186.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (exp x) (exp (* -1 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:

4.0ms

(- (exp x) (exp (* -1 x)))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(- (exp x) (exp (* -1 x)))

simplify73.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	94	120
1	206	111
2	527	110
3	1967	110
4	5001	110

prune27.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))) (+ (exp x) (exp (* -1 x))))
4.8b	(+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))

rewrite127.0ms

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:

93.0ms	(/ (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))) (+ (exp x) (exp (* -1 x))))
31.0ms	(+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))

series129.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(/ (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))) (+ (exp x) (exp (* -1 x))))
47.0ms	(+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (31.0ms)

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

prune141.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.7b 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

sample1.9s

Algorithm

intervals

Results

920.0ms	3347×	body	1280	valid
404.0ms	2433×	body	640	valid
196.0ms	8138×	body	80	valid
129.0ms	1287×	body	320	valid
39.0ms	639×	body	160	valid