Details

sample94.0ms

Algorithm

intervals

Results

58.0ms	180×	body	1280	valid
11.0ms	35×	body	640	valid
8.0ms	287×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	16×	body	160	valid

simplify144.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

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: 31.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
5.7b	(+ (- (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)))

simplify90.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (20.0ms)

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

prune64.0ms

Filtered

41 candidates to 29 candidates (29.3%)

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	(+ (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)))
0.1b	(* 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:

7.0ms	(+ (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))
7.0ms	(* 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))

simplify53.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (46.0ms)

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

prune139.0ms

Filtered

87 candidates to 55 candidates (36.8%)

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 2.0 (exp (neg x)))
5.7b	(- (exp x) (- 2.0 (exp (neg x))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
6×	`add-sqr-sqrt`
4×	`diff-log` `distribute-lft-out--`
3×	`sub-neg`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--` `associate--r+` `difference-of-squares`
1×	`associate--r-`

Counts

2 → 33

Calls

2 calls:

4.0ms	(- 2.0 (exp (neg x)))
7.0ms	(- (exp x) (- 2.0 (exp (neg x))))

series9.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	177	251
1	506	238
2	1941	235
3	5003	235

prune41.0ms

Filtered

39 candidates to 27 candidates (30.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 2.0 (exp (neg x))) (- 2.0 (exp (neg x))))
0.0b	(* (exp x) (exp x))
0.3b	(/ (- (* (exp x) (exp x)) (* (- 2.0 (exp (neg x))) (- 2.0 (exp (neg x))))) (+ (exp x) (- 2.0 (exp (neg x)))))
5.6b	(- (* (exp x) (exp x)) (* (- 2.0 (exp (neg x))) (- 2.0 (exp (neg x)))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
20×	`times-frac`
18×	`pow1` `exp-prod`
11×	`distribute-lft-out--` `difference-of-squares`
10×	`swap-sqr` `add-cbrt-cube` `distribute-lft-out`
8×	`add-exp-log` `flip3--` `associate-r` `associate-l` `flip--`
6×	`add-log-exp`
5×	`sub-neg` `pow-prod-down` `associate-/r*` `pow-sqr` `pow-prod-up`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-/l*` `associate--r+`
2×	`pow2` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 142

Calls

4 calls:

10.0ms	(* (- 2.0 (exp (neg x))) (- 2.0 (exp (neg x))))
6.0ms	(* (exp x) (exp x))
13.0ms	(/ (- (* (exp x) (exp x)) (* (- 2.0 (exp (neg x))) (- 2.0 (exp (neg x))))) (+ (exp x) (- 2.0 (exp (neg x)))))
7.0ms	(- (* (exp x) (exp x)) (* (- 2.0 (exp (neg x))) (- 2.0 (exp (neg x)))))

series47.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- 2.0 (exp (neg x))) (- 2.0 (exp (neg x))))
3.0ms	(* (exp x) (exp x))
29.0ms	(/ (- (* (exp x) (exp x)) (* (- 2.0 (exp (neg x))) (- 2.0 (exp (neg x))))) (+ (exp x) (- 2.0 (exp (neg x)))))
11.0ms	(- (* (exp x) (exp x)) (* (- 2.0 (exp (neg x))) (- 2.0 (exp (neg x)))))

simplify93.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	594	1973
1	2995	1762
2	5001	1737

prune172.0ms

Filtered

154 candidates to 98 candidates (36.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	154	4	158

Merged error: 0b

Counts

158 → 4

regimes34.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.8s	5671×	body	1280	valid
229.0ms	1251×	body	640	valid
227.0ms	8048×	body	80	valid
65.0ms	588×	body	320	valid
22.0ms	318×	body	160	valid

Details

sample94.0ms

simplify144.0ms

prune2.0ms

localize6.0ms

rewrite12.0ms

series9.0ms

simplify90.0ms

prune64.0ms

localize10.0ms

rewrite25.0ms

series25.0ms

simplify53.0ms

prune139.0ms

localize6.0ms

rewrite11.0ms

series9.0ms

simplify58.0ms

prune41.0ms

localize11.0ms

rewrite41.0ms

series47.0ms

simplify93.0ms

prune172.0ms

regimes34.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.7s

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