Details

sample42.0ms

Algorithm

intervals

Results

20.0ms	105×	body	1280	valid
4.0ms	36×	body	640	valid
4.0ms	171×	body	80	valid
2.0ms	21×	body	320	valid
1.0ms	11×	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

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: 29.7b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.7b	(- (exp (* a x)) 1.0)

rewrite6.0ms

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:

2.0ms	(exp (* a x))
4.0ms	(- (exp (* a x)) 1.0)

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(exp (* a x))
8.0ms	(- (exp (* a x)) 1.0)

simplify39.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (9.0ms)

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

prune52.0ms

Filtered

20 candidates to 30 candidates (-50.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	25	5	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	5	31

Merged error: 8.5b

Counts

31 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

1.2b	(* x (+ a (* (* 1/2 (pow a 2)) x)))
6.9b	(* (* 1/2 (pow a 2)) x)
13.3b	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
14.7b	(* (pow a 3) (pow x 3))

rewrite30.0ms

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))))
9.0ms	(* (pow a 3) (pow x 3))

series49.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
4.0ms	(* (* 1/2 (pow a 2)) x)
19.0ms	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
10.0ms	(* (pow a 3) (pow x 3))

simplify99.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (14.0ms)

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

prune206.0ms

Filtered

75 candidates to 125 candidates (-66.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	126	4	130

Merged error: 3.0b

Counts

130 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/2 (pow a 2))
1.2b	(* x (+ a (* (* 1/2 (pow a 2)) x)))
6.9b	(* (* 1/2 (pow a 2)) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`add-cbrt-cube`
11×	`prod-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `associate-l`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down`
3×	`*-commutative` `add-log-exp`
2×	`pow-to-exp` `associate-*r/` `pow-prod-down` `pow-exp` `unpow2` `sqr-pow`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

3 → 68

Calls

3 calls:

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

series20.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* 1/2 (pow a 2))
12.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
4.0ms	(* (* 1/2 (pow a 2)) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	296	366
1	1630	322
2	5001	319

prune95.0ms

Filtered

47 candidates to 77 candidates (-63.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	76	5	81

Merged error: 0.2b

Counts

81 → 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 (3 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	1	1
Total	5	5

Merged error: 0.2b

Counts

5 → 5

regimes359.0ms

Accuracy

91.5% (1.8b remaining)

Error of 2.1b against oracle of 0.3b and baseline of 21.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

480.0ms	2741×	body	1280	valid
147.0ms	1305×	body	640	valid
134.0ms	5544×	body	80	valid
56.0ms	733×	body	320	valid
22.0ms	414×	body	160	valid

Details

sample42.0ms

simplify58.0ms

prune3.0ms

localize9.0ms

rewrite6.0ms

series12.0ms

simplify39.0ms

prune52.0ms

localize15.0ms

rewrite30.0ms

series49.0ms

simplify99.0ms

prune206.0ms

localize7.0ms

rewrite20.0ms

series20.0ms

simplify54.0ms

prune95.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes359.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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