Details

sample77.0ms

Algorithm

intervals

Results

53.0ms	180×	body	1280	valid
5.0ms	245×	body	80	valid
5.0ms	33×	body	640	valid
2.0ms	24×	body	320	valid
1.0ms	13×	body	160	valid

simplify218.0ms

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 (0.0%)

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: 31.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
6.0b	(+ (- (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)))

series78.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
64.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (23.0ms)

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

prune82.0ms

Filtered

41 candidates to 29 candidates (70.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	4	42

Merged error: 0.0b

Counts

42 → 4

localize14.0ms

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

31.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
7.0ms	(* 1/360 (pow x 6))
7.0ms	(* 1/12 (pow x 4))

series148.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
48.0ms	(* 1/360 (pow x 6))
41.0ms	(* 1/12 (pow x 4))

simplify42.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	282	403
1	1220	376
2	5002	366

prune141.0ms

Filtered

80 candidates to 46 candidates (57.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 2.0)
0.0b	(* (exp x) (- (exp x) 2.0))
0.0b	(* (+ (exp x) 2.0) (exp x))
5.2b	(+ (* (exp x) (- (exp x) 2.0)) 1)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

4.0ms	(+ (exp x) 2.0)
9.0ms	(* (exp x) (- (exp x) 2.0))
8.0ms	(* (+ (exp x) 2.0) (exp x))
16.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

series133.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (exp x) 2.0)
36.0ms	(* (exp x) (- (exp x) 2.0))
24.0ms	(* (+ (exp x) 2.0) (exp x))
65.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

simplify43.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	317	510
1	1441	462
2	5001	462

prune141.0ms

Filtered

90 candidates to 59 candidates (65.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	90	5	95

Merged error: 0.0b

Counts

95 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 2.0 (exp (- x)))
6.0b	(- (exp x) (- 2.0 (exp (- x))))

rewrite12.0ms

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:

4.0ms	(- 2.0 (exp (- x)))
8.0ms	(- (exp x) (- 2.0 (exp (- x))))

series75.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(- 2.0 (exp (- x)))
61.0ms	(- (exp x) (- 2.0 (exp (- x))))

simplify50.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	175	251
1	493	240
2	1824	237
3	5001	237

prune59.0ms

Filtered

39 candidates to 27 candidates (69.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	39	5	44

Merged error: 0.0b

Counts

44 → 5

regimes20.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

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

1.7s	5650×	body	1280	valid
192.0ms	1206×	body	640	valid
180.0ms	7902×	body	80	valid
63.0ms	654×	body	320	valid
23.0ms	321×	body	160	valid