Details

sample42.0ms

Algorithm

intervals

Results

18.0ms	117×	body	1280	valid
8.0ms	80×	body	640	valid
4.0ms	376×	pre	80	true
2.0ms	36×	body	320	valid
2.0ms	126×	body	80	valid
1.0ms	17×	body	160	valid

simplify5.0ms

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

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: 59.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

4.6b	(- (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)

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (exp x) 1.0)

simplify54.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (7.0ms)

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

prune39.0ms

Filtered

17 candidates to 12 candidates (70.6%)

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 2 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b	(* x 1/6)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

9.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms	(* x 1/6)

series77.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)

simplify43.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	247	238
1	1168	215
2	5001	215

prune71.0ms

Filtered

55 candidates to 35 candidates (63.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	55	4	59

Merged error: 0.0b

Counts

59 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) 1.0))
4.6b	(- (exp x) 1.0)
4.6b	(- (exp x) 1.0)
4.6b	(- (exp x) 1.0)

rewrite17.0ms

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)

series133.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt (- (exp x) 1.0))
14.0ms	(- (exp x) 1.0)
14.0ms	(- (exp x) 1.0)
14.0ms	(- (exp x) 1.0)

simplify45.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	138	332
1	354	298
2	1056	293
3	5001	293

prune126.0ms

Filtered

69 candidates to 50 candidates (72.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Merged error: 0.0b

Counts

73 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) 1.0))
4.6b	(- (* (exp x) (exp x)) (* 1.0 1.0))
4.6b	(- (exp x) 1.0)
4.6b	(- (exp x) 1.0)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

11×	`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--` `difference-of-squares`
3×	`sub-neg` `diff-log` `distribute-lft-out--`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 56

Calls

4 calls:

4.0ms	(cbrt (- (exp x) 1.0))
6.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))
6.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)

series144.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (- (exp x) 1.0))
25.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))
13.0ms	(- (exp x) 1.0)
14.0ms	(- (exp x) 1.0)

simplify74.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	213	379
1	681	332
2	2384	326
3	5001	326

prune160.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

regimes61.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b 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	13	5
1	13	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

540.0ms	3407×	body	1280	valid
241.0ms	2504×	body	640	valid
117.0ms	11951×	pre	80	true
76.0ms	1250×	body	320	valid
60.0ms	4136×	body	80	valid
27.0ms	654×	body	160	valid

Details

sample42.0ms

simplify5.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series14.0ms

simplify54.0ms

prune39.0ms

localize7.0ms

rewrite14.0ms

series77.0ms

simplify43.0ms

prune71.0ms

localize9.0ms

rewrite17.0ms

series133.0ms

simplify45.0ms

prune126.0ms

localize13.0ms

rewrite22.0ms

series144.0ms

simplify74.0ms

prune160.0ms

regimes61.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

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