Details

sample42.0ms

Algorithm

intervals

Results

17.0ms	97×	body	1280	valid
5.0ms	191×	body	80	valid
4.0ms	33×	body	640	valid
2.0ms	22×	body	320	valid
1.0ms	15×	body	160	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	26	3
3	48	3
4	110	3
5	318	3
6	1623	3
7	5001	3

prune3.0ms

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: 29.9b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.3b	(- (exp (* a x)) 1.0)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 24

Calls

2 calls:

1.0ms	(exp (* a x))
3.0ms	(- (exp (* a x)) 1.0)

series61.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(exp (* a x))
47.0ms	(- (exp (* a x)) 1.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	115	135
1	333	127
2	1116	125
3	5001	125

prune82.0ms

Filtered

30 candidates to 20 candidates (33.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	24	6	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	7	31

Merged error: 6.7b

Counts

31 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* x (+ a (* (* 1/2 (pow a 2)) x)))
6.9b	(* (* 1/2 (pow a 2)) x)
12.3b	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
14.7b	(* (pow a 3) (pow x 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
28×	`add-exp-log`
18×	`associate-r`
17×	`prod-exp` `unswap-sqr`
16×	`associate-l`
14×	`unpow-prod-down` `cube-prod`
13×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`sqr-pow`
8×	`pow1`
7×	`pow-to-exp` `pow-exp`
6×	`add-log-exp`
5×	`cbrt-unprod`
3×	`pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `cube-mult` `associate-+l+` `distribute-lft-in` `flip3-+` `unpow3` `associate-*r/` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 113

Calls

4 calls:

5.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
6.0ms	(* (* 1/2 (pow a 2)) x)
6.0ms	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
12.0ms	(* (pow a 3) (pow x 3))

series298.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
30.0ms	(* (* 1/2 (pow a 2)) x)
117.0ms	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
83.0ms	(* (pow a 3) (pow x 3))

simplify103.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	471	797
1	2758	737
2	5001	737

prune482.0ms

Filtered

125 candidates to 75 candidates (40.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	126	6	132

Merged error: 3.5b

Counts

132 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (pow a 2))
0.0b	(+ a (* (* 1/2 (pow a 2)) x))
0.5b	(* x (+ a (* (* 1/2 (pow a 2)) x)))
6.9b	(* (* 1/2 (pow a 2)) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
18×	`add-sqr-sqrt`
14×	`associate-r`
13×	`add-cbrt-cube`
11×	`prod-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
7×	`associate-l`
6×	`add-log-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down`
3×	`*-commutative`
2×	`pow-to-exp` `flip3-+` `associate-*r/` `pow-prod-down` `pow-exp` `flip-+` `unpow2` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `sum-log`

Counts

4 → 79

Calls

4 calls:

5.0ms	(* 1/2 (pow a 2))
2.0ms	(+ a (* (* 1/2 (pow a 2)) x))
5.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
5.0ms	(* (* 1/2 (pow a 2)) x)

series181.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 1/2 (pow a 2))
54.0ms	(+ a (* (* 1/2 (pow a 2)) x))
72.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
25.0ms	(* (* 1/2 (pow a 2)) x)

simplify60.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	317	474
1	1745	406
2	5002	403

prune282.0ms

Filtered

91 candidates to 57 candidates (37.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	92	5	97

Merged error: 0.2b

Counts

97 → 5

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	2	2
Total	5	5

Merged error: 0.2b

Counts

5 → 5

regimes578.0ms

Accuracy

96.9% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 21.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

494.0ms	2825×	body	1280	valid
150.0ms	1286×	body	640	valid
125.0ms	5462×	body	80	valid
59.0ms	727×	body	320	valid
21.0ms	397×	body	160	valid

Details

sample42.0ms

simplify58.0ms

prune3.0ms

localize5.0ms

rewrite5.0ms

series61.0ms

simplify40.0ms

prune82.0ms

localize14.0ms

rewrite32.0ms

series298.0ms

simplify103.0ms

prune482.0ms

localize7.0ms

rewrite20.0ms

series181.0ms

simplify60.0ms

prune282.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes578.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.1s

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