Details

sample65.0ms

Algorithm

intervals

Results

30.0ms	107×	body	1280	valid
14.0ms	86×	body	640	valid
6.0ms	275×	body	80	valid
4.0ms	33×	body	320	valid
1.0ms	23×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize6.0ms

Local error

Found 1 expressions with local error:

6.2b	(- (exp x) (exp (- x)))

rewrite7.0ms

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)))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify586.0ms

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 (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

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))

rewrite18.0ms

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:

3.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
6.0ms	(* 1/60 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series219.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
48.0ms	(* 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

prune157.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) (exp (- x))))
6.2b	(- (exp x) (exp (- x)))
6.2b	(- (exp x) (exp (- x)))
6.2b	(- (exp x) (exp (- x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

5.0ms	(cbrt (- (exp x) (exp (- x))))
6.0ms	(- (exp x) (exp (- x)))
8.0ms	(- (exp x) (exp (- x)))
6.0ms	(- (exp x) (exp (- x)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (- (exp x) (exp (- x))))
35.0ms	(- (exp x) (exp (- x)))
37.0ms	(- (exp x) (exp (- x)))
36.0ms	(- (exp x) (exp (- x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	171	546
1	478	481
2	1845	471
3	5001	471

prune192.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

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

940.0ms	3339×	body	1280	valid
415.0ms	2493×	body	640	valid
186.0ms	8178×	body	80	valid
129.0ms	1232×	body	320	valid
41.0ms	654×	body	160	valid