Details

sample77.0ms

Algorithm

intervals

Results

53.0ms	185×	body	1280	valid
6.0ms	272×	body	80	valid
6.0ms	37×	body	640	valid
2.0ms	22×	body	320	valid
0.0ms	8×	body	160	valid

simplify213.0ms

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: 29.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.9b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite30.0ms

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:

4.0ms	(- (exp x) 2.0)
25.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (exp x) 2.0)
53.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify95.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (19.0ms)

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

prune85.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

3.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
12.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
5.0ms	(* 1/360 (pow x 6))
8.0ms	(* 1/12 (pow x 4))

series268.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
55.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
51.0ms	(* 1/360 (pow x 6))
35.0ms	(* 1/12 (pow x 4))

simplify49.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	329	464
1	1456	439
2	5001	423

prune195.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp (* -1 x)) 2.0)
3.3b	(+ (exp x) (- (exp (* -1 x)) 2.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

4.0ms	(- (exp (* -1 x)) 2.0)
14.0ms	(+ (exp x) (- (exp (* -1 x)) 2.0))

series62.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(- (exp (* -1 x)) 2.0)
47.0ms	(+ (exp x) (- (exp (* -1 x)) 2.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	173	232
1	512	220
2	2094	219
3	5001	219

prune76.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
0.0b	(+ (exp x) 2.0)
0.0b	(+ (exp x) 2.0)
2.7b	(+ (* (exp x) (- (exp x) 2.0)) 1)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`frac-times` `associate-+l+` `associate-l`
3×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r` `sum-log` `distribute-lft-out`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

45.0ms	(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
4.0ms	(+ (exp x) 2.0)
4.0ms	(+ (exp x) 2.0)
9.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

series163.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
7.0ms	(+ (exp x) 2.0)
8.0ms	(+ (exp x) 2.0)
54.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

simplify53.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	357	670
1	2065	603
2	5002	601

prune165.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes19.0ms

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	17	7
1	17	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s	5631×	body	1280	valid
189.0ms	1250×	body	640	valid
169.0ms	8069×	body	80	valid
58.0ms	652×	body	320	valid
17.0ms	294×	body	160	valid