Details

sample37.0ms

Algorithm

intervals

Results

12.0ms	76×	body	1280	valid
5.0ms	43×	body	640	valid
5.0ms	187×	body	80	valid
2.0ms	24×	body	320	valid
1.0ms	15×	body	160	valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4796	6
1	4796	6

prune9.0ms

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: 30.4b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

3.9b	(- (exp (* a x)) 1.0)

rewrite4.0ms

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:

4.0ms

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

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify23.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5109	163

prune31.0ms

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: 4.8b

Counts

19 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* x (+ a (* x (+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3)))))))
6.4b	(* x (+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3)))))
6.7b	(* x (* 1/6 (pow a 3)))
10.5b	(+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3))))

rewrite28.0ms

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:

5.0ms	(* x (+ a (* x (+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3)))))))
8.0ms	(* x (+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3)))))
7.0ms	(* x (* 1/6 (pow a 3)))
6.0ms	(+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3))))

series71.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* x (+ a (* x (+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3)))))))
27.0ms	(* x (+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3)))))
12.0ms	(* x (* 1/6 (pow a 3)))
9.0ms	(+ (* a (* a 1/2)) (* x (* 1/6 (pow a 3))))

simplify24.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5199	1359

prune131.0ms

Filtered

54 candidates to 86 candidates (-59.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	84	5	89

Merged error: 0.1b

Counts

89 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

4.7b	(* a (* (* a 1/2) (* x x)))
6.2b	(* (* a 1/2) (* x x))
6.2b	(+ (* a x) (* a (* (* a 1/2) (* x x))))

rewrite27.0ms

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:

11.0ms	(* a (* (* a 1/2) (* x x)))
10.0ms	(* (* a 1/2) (* x x))
4.0ms	(+ (* a x) (* a (* (* a 1/2) (* x x))))

series28.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(* a (* (* a 1/2) (* x x)))
8.0ms	(* (* a 1/2) (* x x))
12.0ms	(+ (* a x) (* a (* (* a 1/2) (* x x))))

simplify26.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5314	677

prune66.0ms

Filtered

36 candidates to 70 candidates (-94.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	71	4	75

Merged error: 0.1b

Counts

75 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* a (* x 1/2)) x)
4.7b	(* a (* (* a (* x 1/2)) x))
6.2b	(+ (* a x) (* a (* (* a (* x 1/2)) x)))

rewrite24.0ms

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:

7.0ms	(* (* a (* x 1/2)) x)
10.0ms	(* a (* (* a (* x 1/2)) x))
4.0ms	(+ (* a x) (* a (* (* a (* x 1/2)) x)))

series30.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(* (* a (* x 1/2)) x)
8.0ms	(* a (* (* a (* x 1/2)) x))
14.0ms	(+ (* a x) (* a (* (* a (* x 1/2)) x)))

simplify40.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4999	651
1	4999	651

prune56.0ms

Filtered

37 candidates to 66 candidates (-78.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	66	4	70

Merged error: 0.1b

Counts

70 → 4

regimes238.0ms

Accuracy

98.5% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 22.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	25
1	21	25

end0.0ms

sample1.1s

Algorithm

intervals

Results

414.0ms	2611×	body	1280	valid
144.0ms	1304×	body	640	valid
134.0ms	5517×	body	80	valid
59.0ms	799×	body	320	valid
24.0ms	411×	body	160	valid

Details

sample37.0ms

simplify42.0ms

prune9.0ms

localize5.0ms

rewrite4.0ms

series8.0ms

simplify23.0ms

prune31.0ms

localize12.0ms

rewrite28.0ms

series71.0ms

simplify24.0ms

prune131.0ms

localize8.0ms

rewrite27.0ms

series28.0ms

simplify26.0ms

prune66.0ms

localize8.0ms

rewrite24.0ms

series30.0ms

simplify40.0ms

prune56.0ms

regimes238.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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