Details

analyze3.0ms

Algorithm: search

sample35.0ms

Algorithm

intervals

Results

16.0ms	105×	body	1280	valid
7.0ms	73×	body	640	valid
3.0ms	256×	pre	80	true
2.0ms	41×	body	320	valid
1.0ms	28×	body	160	valid
0.0ms	9×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

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: 57.9b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

8.2b	(- (exp x) 1.0)

rewrite4.0ms

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:

4.0ms

(- (exp x) 1.0)

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(- (exp x) 1.0)

simplify52.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (6.0ms)

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

prune38.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize7.0ms

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))
0.4b	(* x 1/6)

rewrite16.0ms

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:

4.0ms	(+ (* x 1/6) 1/2)
7.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)

series12.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+ (* x 1/6) 1/2)
6.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
2.0ms	(* x 1/6)

simplify43.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (8.0ms)

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

prune83.0ms

Filtered

45 candidates to 69 candidates (-53.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	69	4	73

Merged error: 0.0b

Counts

73 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) 1.0))
8.2b	(- (exp x) 1.0)
8.2b	(- (exp x) 1.0)
8.2b	(- (exp x) 1.0)

rewrite16.0ms

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:

4.0ms	(cbrt (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)

series24.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt (- (exp x) 1.0))
2.0ms	(- (exp x) 1.0)
2.0ms	(- (exp x) 1.0)
2.0ms	(- (exp x) 1.0)

simplify188.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (32.0ms)

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

prune112.0ms

Filtered

50 candidates to 69 candidates (-38.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

localize16.0ms

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	(- (sqrt (exp x)) (sqrt 1.0))
8.2b	(- (exp x) 1.0)
8.2b	(- (exp x) 1.0)

rewrite29.0ms

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:

13.0ms	(cbrt (* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0))))
6.0ms	(- (sqrt (exp x)) (sqrt 1.0))
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)

series43.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0))))
5.0ms	(- (sqrt (exp x)) (sqrt 1.0))
2.0ms	(- (exp x) 1.0)
2.0ms	(- (exp x) 1.0)

simplify116.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	304	698
1	1138	636
2	4742	621
3	5001	614

prune151.0ms

Filtered

54 candidates to 75 candidates (-38.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	75	5	80

Merged error: 0.0b

Counts

80 → 5

regimes148.0ms

Accuracy

77.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	15
1	25	15

end0.0ms

analyze2.0ms

Algorithm: search

sample1.1s

Algorithm

intervals

Results

528.0ms	3404×	body	1280	valid
243.0ms	2537×	body	640	valid
81.0ms	8000×	pre	80	true
78.0ms	1234×	body	320	valid
25.0ms	640×	body	160	valid
4.0ms	185×	body	80	valid

Details

analyze3.0ms

sample35.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series2.0ms

simplify52.0ms

prune38.0ms

localize7.0ms

rewrite16.0ms

series12.0ms

simplify43.0ms

prune83.0ms

localize7.0ms

rewrite16.0ms

series24.0ms

simplify188.0ms

prune112.0ms

localize16.0ms

rewrite29.0ms

series43.0ms

simplify116.0ms

prune151.0ms

regimes148.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze2.0ms

sample1.1s

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