Details

sample34.0ms

Algorithm

intervals

Results

15.0ms	82×	body	1280	valid
4.0ms	37×	body	640	valid
4.0ms	184×	body	80	valid
2.0ms	26×	body	320	valid
1.0ms	15×	body	160	valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	26	3
3	48	3
4	110	3
5	318	3
6	1614	3
7	5002	3

prune2.0ms

Filtered

1 candidates to 0 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: 27.8b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.6b	(- (exp (* a x)) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`exp-prod`
1×	`sub-neg` `flip3--` `*-commutative` `flip--`

Counts

2 → 6

Calls

2 calls:

2.0ms	(exp (* a x))
3.0ms	(- (exp (* a x)) 1.0)

series47.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(exp (* a x))
34.0ms	(- (exp (* a x)) 1.0)

simplify183.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	91	56
1	261	55
2	870	53
3	4413	53
4	5001	53

prune32.0ms

Filtered

12 candidates to 7 candidates (58.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	8	4	12
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	8	5	13

Merged error: 8.3b

Counts

13 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* a x)) 1.0)
0.0b	(pow (exp (* a x)) 3)
0.0b	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
4.6b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

5×	`sqr-pow`
2×	`difference-cubes` `exp-prod` `flip3--` `pow-pow` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/` `associate-/l*` `difference-of-squares`
1×	`+-commutative` `pow-to-exp` `sub-neg` `frac-2neg` `unpow3` `div-sub` `pow-exp` `clear-num` `*-commutative` `div-inv`

Counts

4 → 25

Calls

4 calls:

3.0ms	(+ (exp (* a x)) 1.0)
3.0ms	(pow (exp (* a x)) 3)
14.0ms	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
5.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series213.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (exp (* a x)) 1.0)
24.0ms	(pow (exp (* a x)) 3)
113.0ms	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
56.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify149.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	262	335
1	907	333
2	4385	331
3	5001	331

prune125.0ms

Filtered

37 candidates to 29 candidates (78.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	32	5	37
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	36	6	42

Merged error: 8.3b

Counts

42 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* (* a x) 3))
0.0b	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
0.2b	(* (* a x) 3)
4.6b	(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

6×	`exp-prod`
4×	`difference-cubes` `associate-l` `*-commutative`
3×	`exp-lft-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/` `associate-/l*`
1×	`sub-neg` `frac-2neg` `flip3-+` `div-sub` `clear-num` `flip-+` `div-inv`

Counts

4 → 24

Calls

4 calls:

4.0ms	(exp (* (* a x) 3))
12.0ms	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
3.0ms	(* (* a x) 3)
4.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

series192.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(exp (* (* a x) 3))
105.0ms	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
19.0ms	(* (* a x) 3)
50.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify109.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	228	308
1	772	301
2	3552	296
3	5002	296

prune100.0ms

Filtered

36 candidates to 22 candidates (61.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	36	6	42

Merged error: 8.3b

Counts

42 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
0.0b	(+ (exp (* a x)) 1.0)
0.0b	(/ (- (pow (exp 3) (* a x)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
4.6b	(- (pow (exp 3) (* a x)) (pow 1.0 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

4×	`sqr-pow`
3×	`+-commutative` `flip3-+` `flip-+`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `associate-/r/` `flip--` `associate-/l/` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `div-sub` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 24

Calls

4 calls:

7.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
3.0ms	(+ (exp (* a x)) 1.0)
13.0ms	(/ (- (pow (exp 3) (* a x)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
4.0ms	(- (pow (exp 3) (* a x)) (pow 1.0 3))

series315.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
21.0ms	(+ (exp (* a x)) 1.0)
147.0ms	(/ (- (pow (exp 3) (* a x)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
112.0ms	(- (pow (exp 3) (* a x)) (pow 1.0 3))

simplify156.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	280	350
1	973	348
2	4744	344
3	5001	344

prune106.0ms

Filtered

36 candidates to 26 candidates (72.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	35	7	42

Merged error: 8.2b

Counts

42 → 7

regimes267.0ms

Accuracy

93.9% (1.3b remaining)

Error of 9.3b against oracle of 8.1b and baseline of 28.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	40
1	56	40

end0.0ms

sample932.0ms

Algorithm

intervals

Results

427.0ms	2664×	body	1280	valid
134.0ms	1278×	body	640	valid
114.0ms	5498×	body	80	valid
53.0ms	791×	body	320	valid
18.0ms	394×	body	160	valid