Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

sample140.0ms

Algorithm

intervals

Results

60.0ms	186×	body	1280	valid
8.0ms	47×	body	640	valid
1.0ms	14×	body	320	valid
0.0ms	6×	body	160	valid
0.0ms	3×	body	80	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5718	8

prune8.0ms

Filtered

1 candidates to 1 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: 31.9b

Counts

2 → 2

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp (neg x)) 2.0)
31.9b	(+ (exp x) (- (exp (neg x)) 2.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

5.0ms	(- (exp (neg x)) 2.0)
7.0ms	(+ (exp x) (- (exp (neg x)) 2.0))

series9.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify32.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5187	335

prune47.0ms

Filtered

25 candidates to 35 candidates (-40.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	35	2	37

Merged error: 0.0b

Counts

37 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`associate-r`
13×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube`
6×	`associate-l` `prod-exp` `unswap-sqr`
4×	`sqr-pow`
3×	`pow1` `sum-log`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `associate-+r+` `flip3-+` `flip-+`

Counts

3 → 63

Calls

3 calls:

7.0ms	(+ (* x x) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
5.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))

series16.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify45.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5007	654

prune105.0ms

Filtered

46 candidates to 72 candidates (-56.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	71	3	74

Merged error: 0b

Counts

74 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/12 (pow x 4))
0.1b	(* 1/12 (pow x 4))
27.0b	(sqrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))
27.0b	(sqrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
14×	`add-exp-log` `associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-cbrt-cube`
6×	`pow1` `associate-l` `prod-exp` `sqrt-prod` `unswap-sqr`
4×	`sqrt-div` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* 1/12 (pow x 4))
5.0ms	(* 1/12 (pow x 4))
7.0ms	(sqrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))
7.0ms	(sqrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))

series22.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 1/12 (pow x 4))
4.0ms	(* 1/12 (pow x 4))
7.0ms	(sqrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))
7.0ms	(sqrt (+ (* 1/12 (pow x 4)) (+ (* x x) (* 1/360 (pow x 6)))))

simplify34.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5202	1124

prune228.0ms

Filtered

64 candidates to 92 candidates (-43.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	3	95

Merged error: 0b

Counts

95 → 3

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
31.9b	(+ (- (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` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `associate-+l+` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 33

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)))

simplify52.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5310	423

prune34.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	39	3	42

Merged error: 0b

Counts

42 → 3

regimes59.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	33
1	18	33

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.7s	5732×	body	1280	valid
198.0ms	1196×	body	640	valid
61.0ms	599×	body	320	valid
19.0ms	302×	body	160	valid
5.0ms	171×	body	80	valid

Details

analyze4.0ms

sample140.0ms

simplify39.0ms

prune8.0ms

localize21.0ms

rewrite13.0ms

series9.0ms

simplify32.0ms

prune47.0ms

localize9.0ms

rewrite19.0ms

series16.0ms

simplify45.0ms

prune105.0ms

localize13.0ms

rewrite25.0ms

series22.0ms

simplify34.0ms

prune228.0ms

localize24.0ms

rewrite12.0ms

series9.0ms

simplify52.0ms

prune34.0ms

regimes59.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.0s

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