Details

sample86.0ms

Algorithm

intervals

Results

58.0ms	187×	body	1280	valid
7.0ms	41×	body	640	valid
7.0ms	258×	body	80	valid
1.0ms	13×	body	320	valid
1.0ms	13×	body	160	valid

simplify135.0ms

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	65	5
5	96	5
6	140	5
7	285	5
8	1642	5
9	5001	5

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 28.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.2b	(+ (- (exp x) 2.0) (exp (neg 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 (neg x)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify86.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	209	282
1	694	269
2	3196	260
3	5001	260

prune61.0ms

Filtered

41 candidates to 29 candidates (29.3%)

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	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.0b	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.0b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite25.0ms

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:

9.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
4.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
5.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))

series25.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
11.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
4.0ms	(* 1/360 (pow x 6))
4.0ms	(* 1/12 (pow x 4))

simplify48.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	329	464
1	1456	438
2	5001	422

prune134.0ms

Filtered

87 candidates to 55 candidates (36.8%)

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

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x))))
0.0b	(* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))
0.0b	(pow (exp x) 3)
4.6b	(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

12.0ms	(* (exp x) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x))))
18.0ms	(* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))
3.0ms	(pow (exp x) 3)
9.0ms	(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

series33.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (exp x) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x))))
8.0ms	(* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))
4.0ms	(pow (exp x) 3)
12.0ms	(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

simplify103.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	518	828
1	3042	744
2	5002	740

prune160.0ms

Filtered

97 candidates to 65 candidates (33.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	97	2	99

Merged error: 0.0b

Counts

99 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))
0.0b	(pow (exp x) 3)
4.6b	(log (exp (+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))))
4.6b	(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

18.0ms	(* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))
3.0ms	(pow (exp x) 3)
9.0ms	(log (exp (+ (* 2.0 2.0) (+ (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))))))

series38.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))
4.0ms	(pow (exp x) 3)
12.0ms	(log (exp (+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))))
14.0ms	(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

simplify72.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	401	875
1	2087	780
2	5002	776

prune176.0ms

Filtered

91 candidates to 63 candidates (30.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	91	2	93

Merged error: 0.0b

Counts

93 → 2

regimes27.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b 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	5579×	body	1280	valid
227.0ms	1300×	body	640	valid
214.0ms	7999×	body	80	valid
67.0ms	634×	body	320	valid
22.0ms	324×	body	160	valid

Details

sample86.0ms

simplify135.0ms

prune6.0ms

localize6.0ms

rewrite12.0ms

series9.0ms

simplify86.0ms

prune61.0ms

localize10.0ms

rewrite25.0ms

series25.0ms

simplify48.0ms

prune134.0ms

localize21.0ms

rewrite45.0ms

series33.0ms

simplify103.0ms

prune160.0ms

localize21.0ms

rewrite42.0ms

series38.0ms

simplify72.0ms

prune176.0ms

regimes27.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.6s

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