Details

sample88.0ms

Algorithm

intervals

Results

59.0ms	184×	body	1280	valid
8.0ms	296×	body	80	valid
6.0ms	33×	body	640	valid
2.0ms	20×	body	320	valid
1.0ms	16×	body	160	valid

simplify228.0ms

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: 31.5b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
5.0b	(+ (- (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)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(- (exp x) 2.0)
56.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify93.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (20.0ms)

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

prune97.0ms

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

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))

rewrite27.0ms

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)))
10.0ms	(+ (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))

series271.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
53.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
51.0ms	(* 1/360 (pow x 6))
37.0ms	(* 1/12 (pow x 4))

simplify53.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (45.0ms)

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

prune183.0ms

Filtered

87 candidates to 55 candidates (63.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))
0.1b	(pow (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) 3)
21.7b	(cbrt (pow (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
16×	`add-cube-cbrt` `unpow-prod-down`
15×	`add-exp-log`
14×	`cbrt-prod` `associate-r`
9×	`add-cbrt-cube`
8×	`cube-prod`
6×	`associate-l` `prod-exp` `unswap-sqr` `sqr-pow`
5×	`pow1`
4×	`cube-div` `distribute-lft-out` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `pow-exp`
2×	`cube-mult` `cbrt-div` `flip3-+` `unpow3` `*-commutative` `cbrt-unprod` `flip-+`
1×	`pow-pow` `pow1/3` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 102

Calls

4 calls:

6.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))
9.0ms	(pow (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) 3)
8.0ms	(cbrt (pow (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) 3))

series220.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* 1/360 (pow x 6))
37.0ms	(* 1/12 (pow x 4))
75.0ms	(pow (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) 3)
57.0ms	(cbrt (pow (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) 3))

simplify65.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	418	926
1	1871	851
2	5002	838

prune236.0ms

Filtered

114 candidates to 61 candidates (53.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	114	4	118

Merged error: 0.0b

Counts

118 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))
0.0b	(pow (exp x) 3)
0.1b	(+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3)))))
6.2b	(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

10.0ms	(+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))
6.0ms	(pow (exp x) 3)
7.0ms	(+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3)))))
9.0ms	(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

series221.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))
24.0ms	(pow (exp x) 3)
73.0ms	(+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3)))))
91.0ms	(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

simplify76.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	418	688
1	2110	635
2	5002	627

prune227.0ms

Filtered

78 candidates to 57 candidates (73.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	77	5	82

Merged error: 0.0b

Counts

82 → 5

regimes29.0ms

Accuracy

0% (0.6b 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

sample2.6s

Algorithm

intervals

Results

1.8s	5647×	body	1280	valid
226.0ms	7931×	body	80	valid
225.0ms	1222×	body	640	valid
76.0ms	631×	body	320	valid
24.0ms	334×	body	160	valid

Details

sample88.0ms

simplify228.0ms

prune2.0ms

localize9.0ms

rewrite13.0ms

series72.0ms

simplify93.0ms

prune97.0ms

localize11.0ms

rewrite27.0ms

series271.0ms

simplify53.0ms

prune183.0ms

localize14.0ms

rewrite31.0ms

series220.0ms

simplify65.0ms

prune236.0ms

localize20.0ms

rewrite34.0ms

series221.0ms

simplify76.0ms

prune227.0ms

regimes29.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.6s

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