Details

sample82.0ms

Algorithm

intervals

Results

55.0ms	173×	body	1280	valid
7.0ms	42×	body	640	valid
7.0ms	251×	body	80	valid
2.0ms	18×	body	320	valid
1.0ms	14×	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	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: 30.5b

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)))

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)
7.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
58.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify93.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (21.0ms)

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

prune95.0ms

Filtered

41 candidates to 29 candidates (70.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	3	42

Merged error: 0.0b

Counts

42 → 3

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))

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))

series280.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
58.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
46.0ms	(* 1/360 (pow x 6))
41.0ms	(* 1/12 (pow x 4))

simplify52.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (44.0ms)

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

prune169.0ms

Filtered

87 candidates to 55 candidates (63.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	86	4	90

Merged error: 0.0b

Counts

90 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))
0.0b	(* (exp x) (- (exp x) 2.0))
0.0b	(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
3.1b	(+ (* (exp x) (- (exp x) 2.0)) 1)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-cbrt-cube`
17×	`add-exp-log`
14×	`add-sqr-sqrt` `flip3-+` `flip-+`
12×	`*-un-lft-identity`
8×	`pow1` `frac-times` `add-cube-cbrt` `associate-r` `associate-/l/`
7×	`associate-l`
6×	`associate-r/` `associate-l/` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`cbrt-undiv` `sub-neg` `associate-+l+` `div-exp`
2×	`pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `times-frac` `clear-num` `associate-/r` `sum-log` `flip--` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 101

Calls

4 calls:

21.0ms	(/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))
12.0ms	(* (exp x) (- (exp x) 2.0))
14.0ms	(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
8.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

series286.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))
33.0ms	(* (exp x) (- (exp x) 2.0))
97.0ms	(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
56.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

simplify120.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	604	1296
1	3958	1029
2	5001	1018

prune206.0ms

Filtered

113 candidates to 77 candidates (68.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (- (exp x) 2.0))
0.0b	(pow (exp x) 2)
0.0b	(* (- (exp x) 2.0) (- (exp x) 2.0))
3.5b	(- (* (pow (exp x) 2) (* (- (exp x) 2.0) (- (exp x) 2.0))) 1)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

9.0ms	(* (exp x) (- (exp x) 2.0))
4.0ms	(pow (exp x) 2)
14.0ms	(* (- (exp x) 2.0) (- (exp x) 2.0))
15.0ms	(- (* (pow (exp x) 2) (* (- (exp x) 2.0) (- (exp x) 2.0))) 1)

series226.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (exp x) (- (exp x) 2.0))
14.0ms	(pow (exp x) 2)
38.0ms	(* (- (exp x) 2.0) (- (exp x) 2.0))
141.0ms	(- (* (pow (exp x) 2) (* (- (exp x) 2.0) (- (exp x) 2.0))) 1)

simplify79.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	450	826
1	2275	725
2	5003	714

prune251.0ms

Filtered

124 candidates to 76 candidates (61.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	124	4	128

Merged error: 0.0b

Counts

128 → 4

regimes24.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.8s	5590×	body	1280	valid
224.0ms	1269×	body	640	valid
219.0ms	7927×	body	80	valid
66.0ms	609×	body	320	valid
24.0ms	337×	body	160	valid