Details

sample75.0ms

Algorithm

intervals

Results

53.0ms	188×	body	1280	valid
5.0ms	35×	body	640	valid
5.0ms	233×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	9×	body	160	valid

simplify216.0ms

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

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: 30.8b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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)))

series74.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
61.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify91.0ms

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	5002	260

prune94.0ms

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

localize11.0ms

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))

rewrite23.0ms

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:

4.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
7.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
5.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))

series287.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
59.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
48.0ms	(* 1/360 (pow x 6))
42.0ms	(* 1/12 (pow x 4))

simplify49.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	327	476
1	1399	444
2	5001	426

prune161.0ms

Filtered

87 candidates to 55 candidates (63.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	87	4	91

Merged error: 0.0b

Counts

91 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- x)) 3)
0.0b	(pow (- (exp x) 2.0) 3)
0.0b	(pow (exp x) -2)
3.8b	(+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
19×	`unpow-prod-down`
16×	`add-cube-cbrt` `pow-pow` `cube-prod`
13×	`exp-prod`
12×	`cube-div`
9×	`pow-unpow` `distribute-lft-out`
7×	`pow1`
6×	`add-cbrt-cube` `distribute-lft-out--` `add-log-exp`
5×	`add-exp-log`
4×	`frac-add`
3×	`neg-sub0` `distribute-lft-neg-in` `exp-neg` `pow-to-exp` `flip3--` `distribute-rgt-neg-in` `exp-diff` `pow-exp` `flip--` `sqr-pow`
2×	`cube-mult` `unpow3` `rem-cube-cbrt` `difference-of-squares`
1×	`+-commutative` `neg-mul-1` `flip3-+` `sum-log` `sum-cubes` `flip-+`

Counts

4 → 109

Calls

4 calls:

5.0ms	(pow (exp (- x)) 3)
5.0ms	(pow (- (exp x) 2.0) 3)
3.0ms	(pow (exp x) -2)
20.0ms	(+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3))

series251.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(pow (exp (- x)) 3)
42.0ms	(pow (- (exp x) 2.0) 3)
18.0ms	(pow (exp x) -2)
159.0ms	(+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3))

simplify83.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	498	690
1	2359	643
2	5001	627

prune271.0ms

Filtered

121 candidates to 71 candidates (58.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	121	4	125

Merged error: 0.0b

Counts

125 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (exp x) 2.0) 3)
0.0b	(pow (exp x) -2)
0.3b	(exp (log (+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3))))
3.8b	(+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
24×	`unpow-prod-down`
21×	`cube-prod`
18×	`cube-div` `distribute-lft-out`
16×	`add-sqr-sqrt`
13×	`log-prod` `exp-sum`
12×	`add-cube-cbrt`
10×	`exp-diff` `distribute-lft-out--`
8×	`frac-add`
7×	`pow1` `exp-prod`
6×	`log-div` `pow-unpow` `add-log-exp`
5×	`add-exp-log` `flip3--` `pow-pow` `add-cbrt-cube` `flip--`
4×	`neg-sub0` `exp-neg`
2×	`pow-to-exp` `flip3-+` `pow-exp` `sum-cubes` `flip-+` `difference-of-squares` `sqr-pow`
1×	`+-commutative` `cube-mult` `unpow3` `sum-log` `log-pow` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 105

Calls

4 calls:

5.0ms	(pow (- (exp x) 2.0) 3)
6.0ms	(pow (exp x) -2)
18.0ms	(exp (log (+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3))))
17.0ms	(+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3))

series381.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(pow (- (exp x) 2.0) 3)
23.0ms	(pow (exp x) -2)
160.0ms	(exp (log (+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3))))
155.0ms	(+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3))

simplify69.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	487	988
1	2077	924
2	5001	900

prune280.0ms

Filtered

117 candidates to 64 candidates (54.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	118	3	121

Merged error: 0.0b

Counts

121 → 3

regimes23.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b 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

1.6s	5719×	body	1280	valid
184.0ms	1222×	body	640	valid
177.0ms	7994×	body	80	valid
55.0ms	605×	body	320	valid
18.0ms	306×	body	160	valid