Details

sample66.0ms

Algorithm

intervals

Results

30.0ms	104×	body	1280	valid
13.0ms	81×	body	640	valid
6.0ms	250×	body	80	valid
4.0ms	41×	body	320	valid
2.0ms	24×	body	160	valid

simplify223.0ms

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: 58.5b

localize6.0ms

Local error

Found 1 expressions with local error:

6.3b	(- (exp x) (exp (- x)))

rewrite13.0ms

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:

13.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify588.0ms

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

prune48.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:

11.0ms	(* 1/60 (pow x 5))
12.0ms	(* 1/3 (pow x 3))

series81.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* 1/60 (pow x 5))
36.0ms	(* 1/3 (pow x 3))

simplify188.0ms

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

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (- (exp x) (exp (* -1 x))) 3)
0.1b	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
6.3b	(- (exp x) (exp (* -1 x)))

rewrite49.0ms

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:

19.0ms	(pow (- (exp x) (exp (* -1 x))) 3)
16.0ms	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
11.0ms	(- (exp x) (exp (* -1 x)))

series120.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(pow (- (exp x) (exp (* -1 x))) 3)
30.0ms	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
31.0ms	(- (exp x) (exp (* -1 x)))

simplify34.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (27.0ms)

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

prune126.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))) (+ (exp x) (exp (* -1 x))))
6.3b	(+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))

rewrite243.0ms

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:

178.0ms	(/ (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))) (+ (exp x) (exp (* -1 x))))
62.0ms	(+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))

series124.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(/ (+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x))))) (+ (exp x) (exp (* -1 x))))
44.0ms	(+ (exp (+ x x)) (- (exp (+ (* -1 x) (* -1 x)))))

simplify40.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (31.0ms)

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

prune147.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b 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

sample2.0s

Algorithm

intervals

Results

926.0ms	3312×	body	1280	valid
429.0ms	2578×	body	640	valid
191.0ms	8137×	body	80	valid
124.0ms	1242×	body	320	valid
38.0ms	619×	body	160	valid