Details

sample32.0ms

Algorithm

intervals

Results

14.0ms	87×	body	1280	valid
5.0ms	50×	body	640	valid
3.0ms	172×	body	80	valid
2.0ms	24×	body	320	valid
0.0ms	10×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	13	3
2	15	3
3	15	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: 41.2b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
2.5b	(- (exp x) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`flip3--` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `div-sub` `clear-num` `div-inv`

Counts

2 → 10

Calls

2 calls:

4.0ms	(/ (- (exp x) 1.0) x)
2.0ms	(- (exp x) 1.0)

series53.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (- (exp x) 1.0) x)
14.0ms	(- (exp x) 1.0)

simplify66.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	108	62
1	239	62
2	688	60
3	2031	59
4	5001	59

prune36.0ms

Filtered

16 candidates to 11 candidates (68.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	3	17

Merged error: 0.0b

Counts

17 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
0.2b	(* 1/6 (pow x 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative` `associate-+r+` `associate-r`
1×	`flip3-+` `*-commutative` `flip-+` `unpow2` `sqr-pow`

Counts

2 → 8

Calls

2 calls:

6.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
3.0ms	(* 1/6 (pow x 2))

series47.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
24.0ms	(* 1/6 (pow x 2))

simplify92.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	87	66
1	342	65
2	2302	64
3	5002	64

prune23.0ms

Filtered

14 candidates to 8 candidates (57.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Merged error: 0.0b

Counts

17 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(/ (- (pow (exp x) 3) (pow 1.0 3)) (* (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) x))
0.0b	(pow (exp x) 3)
2.4b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 29

Calls

4 calls:

2.0ms	(+ 1.0 (exp x))
13.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (* (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) x))
2.0ms	(pow (exp x) 3)
4.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series204.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ 1.0 (exp x))
135.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (* (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) x))
23.0ms	(pow (exp x) 3)
39.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify34.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	282	346
1	1038	329
2	5001	329

prune121.0ms

Filtered

41 candidates to 33 candidates (80.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	40	4	44

Merged error: 0.0b

Counts

44 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(exp (* 3 x))
0.0b	(/ (- (exp (* 3 x)) (pow 1.0 3)) (* (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) x))
2.4b	(- (exp (* 3 x)) (pow 1.0 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 28

Calls

4 calls:

2.0ms	(+ 1.0 (exp x))
2.0ms	(exp (* 3 x))
11.0ms	(/ (- (exp (* 3 x)) (pow 1.0 3)) (* (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) x))
4.0ms	(- (exp (* 3 x)) (pow 1.0 3))

series137.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ 1.0 (exp x))
6.0ms	(exp (* 3 x))
102.0ms	(/ (- (exp (* 3 x)) (pow 1.0 3)) (* (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) x))
21.0ms	(- (exp (* 3 x)) (pow 1.0 3))

simplify121.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	269	349
1	865	314
2	4586	308
3	5001	308

prune96.0ms

Filtered

40 candidates to 28 candidates (70.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	40	4	44

Merged error: 0.0b

Counts

44 → 4

regimes25.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.2b

bsearch38.0ms

Steps

Iters	Range		Point
9	-6.308761783247451	-1.485944467815708e-07	-0.0002027317307470265

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	22
1	39	22

end0.0ms

sample879.0ms

Algorithm

intervals

Results

392.0ms	2323×	body	1280	valid
173.0ms	1629×	body	640	valid
104.0ms	5547×	body	80	valid
53.0ms	788×	body	320	valid
19.0ms	434×	body	160	valid