Details

sample68.0ms

Algorithm

intervals

Results

32.0ms	115×	body	1280	valid
11.0ms	73×	body	640	valid
6.0ms	270×	body	80	valid
4.0ms	22×	body	160	valid
4.0ms	37×	body	320	valid

simplify215.0ms

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: 57.8b

localize6.0ms

Local error

Found 1 expressions with local error:

6.4b	(- (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:

12.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify581.0ms

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

prune47.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

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))
0.1b	(* 1/3 (pow x 3))

rewrite45.0ms

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:

20.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
11.0ms	(* 1/60 (pow x 5))
12.0ms	(* 1/3 (pow x 3))

series130.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
42.0ms	(* 1/60 (pow x 5))
36.0ms	(* 1/3 (pow x 3))

simplify45.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (9.0ms)

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

prune164.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

6.4b	(- (exp x) (exp (* -1 x)))

rewrite14.0ms

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 (* -1 x)))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify76.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (8.0ms)

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

prune30.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(exp (log (- (exp x) (exp (- x)))))
6.4b	(- (exp x) (exp (- x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`log-prod` `exp-sum`
4×	`add-cube-cbrt` `exp-prod` `add-log-exp`
3×	`pow1`
2×	`add-exp-log` `log-div` `flip3--` `exp-diff` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `diff-log` `log-pow` `rem-exp-log`

Counts

2 → 33

Calls

2 calls:

12.0ms	(exp (log (- (exp x) (exp (- x)))))
13.0ms	(- (exp x) (exp (- x)))

series66.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(exp (log (- (exp x) (exp (- x)))))
32.0ms	(- (exp x) (exp (- x)))

simplify34.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	143	280
1	318	256
2	900	245
3	5001	235

prune71.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes34.0ms

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

913.0ms	3378×	body	1280	valid
398.0ms	2494×	body	640	valid
188.0ms	8527×	body	80	valid
121.0ms	1251×	body	320	valid
38.0ms	617×	body	160	valid