Details

sample78.0ms

Algorithm

intervals

Results

52.0ms	185×	body	1280	valid
8.0ms	275×	body	80	valid
6.0ms	38×	body	640	valid
2.0ms	20×	body	320	valid
1.0ms	11×	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: 30.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.4b	(+ (- (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)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify90.0ms

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	5001	260

prune89.0ms

Filtered

41 candidates to 29 candidates (70.7%)

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))

rewrite24.0ms

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:

133.0ms	(+ (* 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))))
52.0ms	(* 1/360 (pow x 6))
36.0ms	(* 1/12 (pow x 4))

simplify57.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (44.0ms)

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

prune188.0ms

Filtered

87 candidates to 55 candidates (63.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	87	2	89

Merged error: 0.0b

Counts

89 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))
0.0b	(+ 2.0 (exp x))
0.0b	(pow (exp x) 3)
3.6b	(+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))) (exp (- x)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube`
4×	`add-exp-log` `pow-pow`
3×	`+-commutative` `unpow-prod-down` `pow-unpow` `exp-prod` `flip3-+` `cube-prod` `sum-log` `flip-+`
2×	`associate-+l+` `frac-add` `distribute-lft-out`
1×	`neg-sub0` `distribute-rgt-in` `exp-neg` `cube-mult` `pow-to-exp` `associate-+l-` `distribute-lft-in` `exp-diff` `unpow3` `div-sub` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

9.0ms	(+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))
3.0ms	(+ 2.0 (exp x))
4.0ms	(pow (exp x) 3)
41.0ms	(+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))) (exp (- x)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))
8.0ms	(+ 2.0 (exp x))
23.0ms	(pow (exp x) 3)
196.0ms	(+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))) (exp (- x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	401	662
1	1882	608
2	5002	604

prune212.0ms

Filtered

78 candidates to 54 candidates (69.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	77	3	80

Merged error: 0.0b

Counts

80 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.0b	(pow (exp x) 3)
0.0b	(pow (exp x) 3)
3.6b	(- (* (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))) (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x))))) (* (exp (- x)) (exp (- x))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

27×	`frac-sub`
21×	`exp-neg` `frac-times`
18×	`neg-sub0` `exp-diff`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`associate-r/` `associate-l/`
12×	`pow-pow`
9×	`unpow-prod-down` `pow-unpow` `exp-prod` `cube-prod`
7×	`pow1` `add-cbrt-cube`
6×	`add-log-exp`
4×	`add-exp-log`
3×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `un-div-inv` `rem-cube-cbrt` `sqr-pow`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

4 → 118

Calls

4 calls:

4.0ms	(pow (exp x) 3)
4.0ms	(pow (exp x) 3)
3.0ms	(pow (exp x) 3)
52.0ms	(- (* (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))) (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x))))) (* (exp (- x)) (exp (- x))))

series479.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(pow (exp x) 3)
24.0ms	(pow (exp x) 3)
24.0ms	(pow (exp x) 3)
403.0ms	(- (* (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))) (/ (- (pow (exp x) 3) (pow 2.0 3)) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x))))) (* (exp (- x)) (exp (- x))))

simplify66.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	494	1926
1	2026	1796
2	5002	1784

prune331.0ms

Filtered

130 candidates to 65 candidates (50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	130	3	133

Merged error: 0.0b

Counts

133 → 3

regimes19.0ms

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	5626×	body	1280	valid
190.0ms	1238×	body	640	valid
167.0ms	7748×	body	80	valid
60.0ms	646×	body	320	valid
19.0ms	334×	body	160	valid