Details

sample76.0ms

Algorithm

intervals

Results

50.0ms	177×	body	1280	valid
6.0ms	44×	body	640	valid
5.0ms	249×	body	80	valid
2.0ms	22×	body	320	valid
0.0ms	8×	body	160	valid

simplify214.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	26	5
2	41	5
3	55	5
4	67	5
5	100	5
6	144	5
7	296	5
8	1321	5
9	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.4b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `add-cube-cbrt` `sub-neg` `associate-+l+` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

9.0ms	(- (exp x) 2.0)
46.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
59.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	211	282
1	715	269
2	3477	260
3	5001	260

prune82.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.1b	(* 1/12 (pow x 4))
0.1b	(* 1/360 (pow x 6))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`associate-r`
13×	`add-exp-log`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube`
6×	`associate-l` `prod-exp` `unswap-sqr`
4×	`sqr-pow`
3×	`pow1` `sum-log`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `associate-+r+` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

23.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
11.0ms	(* 1/12 (pow x 4))
11.0ms	(* 1/360 (pow x 6))

series145.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
42.0ms	(* 1/12 (pow x 4))
51.0ms	(* 1/360 (pow x 6))

simplify42.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	283	367
1	1255	340
2	5002	327

prune152.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 2.0 (exp (- x)))
3.4b	(- (exp x) (- 2.0 (exp (- x))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
6×	`add-sqr-sqrt`
4×	`diff-log` `distribute-lft-out--`
3×	`sub-neg`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--` `associate--r+` `difference-of-squares`
1×	`associate--r-`

Counts

2 → 33

Calls

2 calls:

8.0ms	(- 2.0 (exp (- x)))
30.0ms	(- (exp x) (- 2.0 (exp (- x))))

series73.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(- 2.0 (exp (- x)))
59.0ms	(- (exp x) (- 2.0 (exp (- x))))

simplify55.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	178	251
1	508	240
2	1920	237
3	5002	237

prune67.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (exp (- x)))
0.0b	(* (- 2.0 (exp (- x))) (- 2.0 (exp (- x))))
0.0b	(* (exp x) (exp x))
3.4b	(- (* (exp x) (exp x)) (* (- 2.0 (exp (- x))) (- 2.0 (exp (- x)))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
18×	`pow1` `add-cube-cbrt` `exp-prod`
10×	`swap-sqr`
8×	`flip3--` `associate-r` `associate-l` `add-cbrt-cube` `flip--` `add-log-exp`
7×	`distribute-lft-out--`
6×	`add-exp-log` `sub-neg` `difference-of-squares`
5×	`pow-prod-down` `pow-sqr` `pow-prod-up`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `associate--r+`
2×	`pow2` `pow-plus` `diff-log` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

8.0ms	(- 2.0 (exp (- x)))
60.0ms	(* (- 2.0 (exp (- x))) (- 2.0 (exp (- x))))
16.0ms	(* (exp x) (exp x))
21.0ms	(- (* (exp x) (exp x)) (* (- 2.0 (exp (- x))) (- 2.0 (exp (- x)))))

series157.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- 2.0 (exp (- x)))
38.0ms	(* (- 2.0 (exp (- x))) (- 2.0 (exp (- x))))
13.0ms	(* (exp x) (exp x))
92.0ms	(- (* (exp x) (exp x)) (* (- 2.0 (exp (- x))) (- 2.0 (exp (- x)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	422	905
1	1899	789
2	5002	769

prune235.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

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	17	7
1	17	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s	5672×	body	1280	valid
189.0ms	1253×	body	640	valid
167.0ms	8049×	body	80	valid
55.0ms	635×	body	320	valid
15.0ms	279×	body	160	valid