Details

sample68.0ms

Algorithm

intervals

Results

27.0ms	92×	body	1280	valid
8.0ms	190×	body	80	valid
7.0ms	35×	body	640	valid
4.0ms	28×	body	320	valid
1.0ms	11×	body	160	valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4778	6
1	4778	6

prune15.0ms

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: 29.4b

Counts

2 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

3.1b	(- (exp (* a x)) 1.0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

6.0ms

(- (exp (* a x)) 1.0)

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(- (exp (* a x)) 1.0)

simplify62.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4903	163
1	4903	163

prune44.0ms

Filtered

13 candidates to 17 candidates (-30.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 4.4b

Counts

19 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b	(* x (+ a (* x (+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3)))))))
4.6b	(* x (* 1/6 (pow a 3)))
7.3b	(* x (+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3)))))
10.4b	(+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

8.0ms	(* x (+ a (* x (+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3)))))))
9.0ms	(* x (* 1/6 (pow a 3)))
13.0ms	(* x (+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3)))))
9.0ms	(+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3))))

series103.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* x (+ a (* x (+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3)))))))
17.0ms	(* x (* 1/6 (pow a 3)))
37.0ms	(* x (+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3)))))
13.0ms	(+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3))))

simplify46.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5281	1359

prune209.0ms

Filtered

54 candidates to 86 candidates (-59.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	86	3	89

Merged error: 0.1b

Counts

89 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

3.7b	(* a (* (* a 1/2) (* x x)))
5.8b	(+ (* a x) (* a (* (* a 1/2) (* x x))))
6.1b	(* (* a 1/2) (* x x))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

33×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
2×	`associate-r` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 61

Calls

3 calls:

16.0ms	(* a (* (* a 1/2) (* x x)))
9.0ms	(+ (* a x) (* a (* (* a 1/2) (* x x))))
273.0ms	(* (* a 1/2) (* x x))

series43.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(* a (* (* a 1/2) (* x x)))
18.0ms	(+ (* a x) (* a (* (* a 1/2) (* x x))))
12.0ms	(* (* a 1/2) (* x x))

simplify68.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4991	683
1	4991	683

prune94.0ms

Filtered

36 candidates to 70 candidates (-94.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	71	2	73

Merged error: 0.1b

Counts

73 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* a (* 1/2 x)) x)
3.7b	(* a (* (* a (* 1/2 x)) x))
5.8b	(+ (* a x) (* a (* (* a (* 1/2 x)) x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 57

Calls

3 calls:

10.0ms	(* (* a (* 1/2 x)) x)
14.0ms	(* a (* (* a (* 1/2 x)) x))
7.0ms	(+ (* a x) (* a (* (* a (* 1/2 x)) x)))

series42.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(* (* a (* 1/2 x)) x)
11.0ms	(* a (* (* a (* 1/2 x)) x))
19.0ms	(+ (* a x) (* a (* (* a (* 1/2 x)) x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4962	651
1	4962	651

prune85.0ms

Filtered

38 candidates to 66 candidates (-73.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	66	2	68

Merged error: 0.1b

Counts

68 → 2

regimes353.0ms

Accuracy

96.8% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 21.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	25
1	31	25

end0.0ms

sample1.9s

Algorithm

intervals

Results

788.0ms	2748×	body	1280	valid
257.0ms	1301×	body	640	valid
215.0ms	5442×	body	80	valid
98.0ms	732×	body	320	valid
39.0ms	434×	body	160	valid

Details

sample68.0ms

simplify85.0ms

prune15.0ms

localize7.0ms

rewrite7.0ms

series12.0ms

simplify62.0ms

prune44.0ms

localize19.0ms

rewrite43.0ms

series103.0ms

simplify46.0ms

prune209.0ms

localize12.0ms

rewrite302.0ms

series43.0ms

simplify68.0ms

prune94.0ms

localize12.0ms

rewrite34.0ms

series42.0ms

simplify44.0ms

prune85.0ms

regimes353.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

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