Details

sample78.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 49.560547%

Guaranteed chance to sample good point: 99.987899%

Results

55.0ms	174×	body	1280	valid
8.0ms	43×	body	640	valid
3.0ms	24×	body	320	valid
1.0ms	10×	body	160	valid
0.0ms	5×	body	80	valid

simplify137.0ms

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

prune3.0ms

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)
4.5b	(+ (- (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

prune56.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

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

localize12.0ms

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))

series26.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
6.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
5.0ms	(* 1/360 (pow x 6))
4.0ms	(* 1/12 (pow x 4))

simplify49.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (42.0ms)

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

prune142.0ms

Filtered

55 candidates to 87 candidates (-58.2%)

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

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))
0.0b	(* (exp x) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x))))
0.1b	(pow (exp x) 3)
4.0b	(+ (* 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

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

Counts

4 → 74

Calls

4 calls:

9.0ms	(+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))
12.0ms	(* (exp x) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x))))
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))))))

series32.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))
8.0ms	(* (exp x) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x))))
6.0ms	(pow (exp x) 3)
13.0ms	(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

simplify88.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	447	744
1	2507	669
2	5002	665

prune154.0ms

Filtered

60 candidates to 86 candidates (-43.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))
0.0b	(* (exp x) (+ 4.0 (* (exp x) (+ (exp x) 2.0))))
0.1b	(pow (exp x) 3)
4.0b	(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

rewrite40.0ms

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:

19.0ms	(* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))
6.0ms	(* (exp x) (+ 4.0 (* (exp x) (+ (exp x) 2.0))))
4.0ms	(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))))))

series37.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))
9.0ms	(* (exp x) (+ 4.0 (* (exp x) (+ (exp x) 2.0))))
4.0ms	(pow (exp x) 3)
15.0ms	(+ (* 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 (94.0ms)

Iter	Nodes	Cost
0	517	802
1	2997	720
2	5002	716

prune153.0ms

Filtered

64 candidates to 97 candidates (-51.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

regimes40.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

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

sampling

Space saved by range analysis: 0%

Space saved by search: 49.560547%

Guaranteed chance to sample good point: 99.987899%

Results

1.8s	5668×	body	1280	valid
215.0ms	1213×	body	640	valid
71.0ms	656×	body	320	valid
22.0ms	312×	body	160	valid
6.0ms	151×	body	80	valid
0.0ms	1×	body	80	invalid

Details

sample78.0ms

simplify137.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series9.0ms

simplify86.0ms

prune56.0ms

localize12.0ms

rewrite23.0ms

series26.0ms

simplify49.0ms

prune142.0ms

localize19.0ms

rewrite34.0ms

series32.0ms

simplify88.0ms

prune154.0ms

localize19.0ms

rewrite40.0ms

series37.0ms

simplify103.0ms

prune153.0ms

regimes40.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

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