Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	107×	body	1280	valid
0.0hr	71×	body	640	valid
0.0hr	41×	body	320	valid
0.0hr	390×	pre	80	true
0.0hr	142×	body	80	valid
0.0hr	29×	body	160	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

prune0.0hr

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: 58.2b

Counts

2 → 1

localize0.0hr

Local error

Found 1 expressions with local error:

8.0b	(- (exp x) 1.0)

rewrite0.0hr

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:

0.0hr

(- (exp x) 1.0)

series0.0hr

Counts

1 → 3

Calls

1 calls:

0.0hr

(- (exp x) 1.0)

simplify0.0hr

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	81	72
1	185	67
2	499	66
3	1399	66
4	5002	66

prune0.0hr

Filtered

17 candidates to 12 candidates (29.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	4	18

Merged error: 0.1b

Counts

18 → 4

localize0.0hr

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 1/6) 1/2)
0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

0.0hr	(+ (* x 1/6) 1/2)
0.0hr	(* (pow x 2) (+ (* x 1/6) 1/2))
0.0hr	(* x 1/6)

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(+ (* x 1/6) 1/2)
0.0hr	(* (pow x 2) (+ (* x 1/6) 1/2))
0.0hr	(* x 1/6)

simplify0.0hr

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (0.0hr)

Iter	Nodes	Cost
0	268	291
1	1284	262
2	5001	262

prune0.0hr

Filtered

69 candidates to 45 candidates (34.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	69	4	73

Merged error: 0.1b

Counts

73 → 4

localize0.0hr

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) 1.0))
8.0b	(- (exp x) 1.0)
8.0b	(- (exp x) 1.0)
8.0b	(- (exp x) 1.0)

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

0.0hr	(cbrt (- (exp x) 1.0))
0.0hr	(- (exp x) 1.0)
0.0hr	(- (exp x) 1.0)
0.0hr	(- (exp x) 1.0)

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(cbrt (- (exp x) 1.0))
0.0hr	(- (exp x) 1.0)
0.0hr	(- (exp x) 1.0)
0.0hr	(- (exp x) 1.0)

simplify0.0hr

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	139	345
1	329	311
2	990	297
3	4941	289
4	5001	289

prune0.0hr

Filtered

69 candidates to 50 candidates (27.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	69	4	73

Merged error: 0.0b

Counts

73 → 4

localize0.0hr

Local error

Found 4 expressions with local error:

0.1b	(cbrt (* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0))))
8.0b	(- (exp x) 1.0)
8.0b	(- (exp x) 1.0)
8.0b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`cbrt-div`
6×	`flip3--` `sqrt-prod` `flip--` `difference-of-squares`
4×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--`
3×	`sub-neg` `flip3-+` `diff-log` `flip-+`
2×	`associate-r/` `associate-l/`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 63

Calls

4 calls:

0.0hr	(cbrt (* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0))))
0.0hr	(- (exp x) 1.0)
0.0hr	(- (exp x) 1.0)
0.0hr	(- (sqrt (exp x)) (sqrt 1.0))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(cbrt (* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0))))
0.0hr	(- (exp x) 1.0)
0.0hr	(- (exp x) 1.0)
0.0hr	(- (sqrt (exp x)) (sqrt 1.0))

simplify0.0hr

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	304	698
1	1138	636
2	4742	621
3	5003	614

prune0.0hr

Filtered

75 candidates to 55 candidates (26.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	73	6	79

Merged error: 0.0b

Counts

79 → 6

regimes0.0hr

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	3427×	body	1280	valid
0.0hr	2453×	body	640	valid
0.0hr	12050×	pre	80	true
0.0hr	1248×	body	320	valid
0.0hr	4238×	body	80	valid
0.0hr	684×	body	160	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

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