Details

sample78.0ms

Algorithm

intervals

Results

51.0ms	177×	body	1280	valid
7.0ms	44×	body	640	valid
5.0ms	249×	body	80	valid
2.0ms	22×	body	320	valid
0.0ms	8×	body	160	valid

simplify219.0ms

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)))

rewrite58.0ms

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:

10.0ms	(- (exp x) 2.0)
47.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(- (exp x) 2.0)
54.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify93.0ms

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

prune91.0ms

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))

rewrite47.0ms

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))

series134.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
32.0ms	(* 1/12 (pow x 4))
48.0ms	(* 1/360 (pow x 6))

simplify43.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (37.0ms)

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

prune169.0ms

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	(- (exp (* -1 x)) 2.0)
3.4b	(+ (exp x) (- (exp (* -1 x)) 2.0))

rewrite43.0ms

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:

12.0ms	(- (exp (* -1 x)) 2.0)
30.0ms	(+ (exp x) (- (exp (* -1 x)) 2.0))

series62.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (exp (* -1 x)) 2.0)
50.0ms	(+ (exp x) (- (exp (* -1 x)) 2.0))

simplify56.0ms

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

prune74.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp x) (- (exp (* -1 x)) 2.0))
0.0b	(* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0))
0.0b	(* (exp x) (exp x))
3.4b	(- (* (exp x) (exp x)) (* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

26.0ms	(- (exp x) (- (exp (* -1 x)) 2.0))
71.0ms	(* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0))
17.0ms	(* (exp x) (exp x))
22.0ms	(- (* (exp x) (exp x)) (* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (exp x) (- (exp (* -1 x)) 2.0))
32.0ms	(* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0))
12.0ms	(* (exp x) (exp x))
83.0ms	(- (* (exp x) (exp x)) (* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0)))

simplify62.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	436	987
1	1950	855
2	5003	837

prune266.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes16.0ms

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
185.0ms	1253×	body	640	valid
168.0ms	8049×	body	80	valid
58.0ms	635×	body	320	valid
16.0ms	279×	body	160	valid