Details

sample76.0ms

Algorithm

intervals

Results

52.0ms	178×	body	1280	valid
6.0ms	38×	body	640	valid
6.0ms	245×	body	80	valid
2.0ms	27×	body	320	valid
0.0ms	6×	body	160	valid

simplify215.0ms

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	1319	5
9	5001	5

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 31.7b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.8b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite13.0ms

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

series73.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
60.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	208	282
1	700	269
2	3389	260
3	5001	260

prune74.0ms

Filtered

41 candidates to 29 candidates (29.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Merged error: 0.0b

Counts

42 → 2

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

25.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
27.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
6.0ms	(* 1/360 (pow x 6))
7.0ms	(* 1/12 (pow x 4))

series275.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
57.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
50.0ms	(* 1/360 (pow x 6))
37.0ms	(* 1/12 (pow x 4))

simplify50.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	323	520
1	1401	495
2	5001	482

prune162.0ms

Filtered

98 candidates to 56 candidates (42.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	97	3	100

Merged error: 0.0b

Counts

100 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (- (exp x) 2.0))
0.0b	(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
0.0b	(* (+ (exp x) 2.0) (exp x))
2.3b	(+ (* (exp x) (- (exp x) 2.0)) 1)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

8.0ms	(* (exp x) (- (exp x) 2.0))
19.0ms	(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
7.0ms	(* (+ (exp x) 2.0) (exp x))
13.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

series218.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (exp x) (- (exp x) 2.0))
94.0ms	(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
23.0ms	(* (+ (exp x) 2.0) (exp x))
60.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

simplify72.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	487	989
1	2732	895
2	5002	894

prune172.0ms

Filtered

119 candidates to 73 candidates (38.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	119	3	122

Merged error: 0.0b

Counts

122 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (exp x) 2.0) (exp x))
0.0b	(* (- (exp x) 2.0) (- (exp x) 2.0))
0.0b	(pow (exp x) 2)
3.0b	(- (* (pow (exp x) 2) (* (- (exp x) 2.0) (- (exp x) 2.0))) 1)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

139×	`add-sqr-sqrt`
74×	`unswap-sqr`
54×	`*-un-lft-identity`
46×	`difference-of-squares`
21×	`difference-of-sqr-1`
19×	`swap-sqr`
18×	`unpow-prod-down`
16×	`unpow2` `sqr-pow`
14×	`pow1` `*-commutative`
13×	`add-cube-cbrt`
10×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-l`
8×	`associate-r` `associate--l+` `add-cbrt-cube` `distribute-lft-out--`
7×	`sub-neg` `flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `pow-pow` `associate-*l/`
3×	`pow-unpow` `exp-prod` `prod-exp`
2×	`associate-*r/` `pow-prod-down` `pow-exp` `cbrt-unprod`
1×	`pow2` `pow-to-exp` `flip3-+` `pow-plus` `diff-log` `pow-sqr` `pow-prod-up` `flip-+` `distribute-lft-out`

Counts

4 → 174

Calls

4 calls:

7.0ms	(* (+ (exp x) 2.0) (exp x))
11.0ms	(* (- (exp x) 2.0) (- (exp x) 2.0))
3.0ms	(pow (exp x) 2)
41.0ms	(- (* (pow (exp x) 2) (* (- (exp x) 2.0) (- (exp x) 2.0))) 1)

series221.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ (exp x) 2.0) (exp x))
35.0ms	(* (- (exp x) 2.0) (- (exp x) 2.0))
18.0ms	(pow (exp x) 2)
144.0ms	(- (* (pow (exp x) 2) (* (- (exp x) 2.0) (- (exp x) 2.0))) 1)

simplify87.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	584	1747
1	2417	1462
2	5001	1451

prune242.0ms

Filtered

186 candidates to 80 candidates (57.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	185	4	189

Merged error: 0.0b

Counts

189 → 4

regimes24.0ms

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	5570×	body	1280	valid
202.0ms	1274×	body	640	valid
181.0ms	7959×	body	80	valid
62.0ms	643×	body	320	valid
21.0ms	353×	body	160	valid