Details

sample35.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

12.0ms	261×	body	80	valid
4.0ms	93×	body	80	overflowed
2.0ms	7×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune3.0ms

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: 0.3b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(+ 1.0 (exp x))
0.5b	(log (+ 1.0 (exp x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `log-div` `associate--l+`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `log-pow` `flip--`

Counts

3 → 45

Calls

3 calls:

6.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(+ 1.0 (exp x))
4.0ms	(log (+ 1.0 (exp x)))

series23.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(- (log (+ 1.0 (exp x))) (* x y))
2.0ms	(+ 1.0 (exp x))
11.0ms	(log (+ 1.0 (exp x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	207	322
1	584	301
2	1729	298
3	5001	297

prune103.0ms

Filtered

40 candidates to 54 candidates (-35.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	47	7	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	7	55

Merged error: 0.3b

Counts

55 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ 1.0 (exp x))
1.2b	(log (sqrt (+ 1.0 (exp x))))
1.2b	(log (sqrt (+ 1.0 (exp x))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`log-prod`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `sqrt-prod` `add-log-exp`
6×	`add-exp-log` `log-pow`
4×	`log-div` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`+-commutative` `sqrt-pow1` `pow1/2` `rem-log-exp` `sum-log`

Counts

4 → 64

Calls

4 calls:

4.0ms	(+ 1.0 (exp x))
5.0ms	(+ 1.0 (exp x))
4.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series32.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ 1.0 (exp x))
2.0ms	(+ 1.0 (exp x))
14.0ms	(log (sqrt (+ 1.0 (exp x))))
14.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify41.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	155	476
1	390	432
2	1073	422
3	5002	414

prune150.0ms

Filtered

54 candidates to 76 candidates (-40.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	77	6	83

Merged error: 0.3b

Counts

83 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ 1.0 (exp x))
0.5b	(log (+ 1.0 (exp x)))
1.2b	(log (sqrt (+ 1.0 (exp x))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
11×	`log-prod`
8×	`add-log-exp`
7×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
6×	`add-exp-log`
4×	`log-div` `flip3-+` `sqrt-prod` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`+-commutative` `sqrt-div` `rem-log-exp` `sum-log`
1×	`sqrt-pow1` `pow1/2`

Counts

4 → 59

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
3.0ms	(+ 1.0 (exp x))
3.0ms	(log (+ 1.0 (exp x)))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series28.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ 1.0 (exp x))
2.0ms	(+ 1.0 (exp x))
11.0ms	(log (+ 1.0 (exp x)))
14.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	197	407
1	536	368
2	1585	362
3	5001	357

prune134.0ms

Filtered

51 candidates to 71 candidates (-39.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	71	6	77

Merged error: 0.3b

Counts

77 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (log (+ 1.0 (exp x)))))
0.0b	(log (log (+ 1.0 (exp x))))
0.5b	(log (+ 1.0 (exp x)))
1.2b	(log (sqrt (+ 1.0 (exp x))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod`
14×	`*-un-lft-identity`
11×	`pow1`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`log-pow`
7×	`add-exp-log`
4×	`log-div` `exp-prod` `exp-sum` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`rem-log-exp`
2×	`flip3-+` `sqrt-div` `flip-+` `distribute-lft-out`
1×	`sqrt-pow1` `pow1/2` `rem-exp-log`

Counts

4 → 64

Calls

4 calls:

2.0ms	(exp (log (log (+ 1.0 (exp x)))))
1.0ms	(log (log (+ 1.0 (exp x))))
4.0ms	(log (+ 1.0 (exp x)))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series55.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(exp (log (log (+ 1.0 (exp x)))))
20.0ms	(log (log (+ 1.0 (exp x))))
11.0ms	(log (+ 1.0 (exp x)))
14.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify56.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	244	506
1	647	455
2	2180	439
3	5002	429

prune135.0ms

Filtered

50 candidates to 76 candidates (-52.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	76	6	82

Merged error: 0.3b

Counts

82 → 6

regimes105.0ms

Accuracy

0% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	13
1	24	13
2	24	13

end0.0ms

sample957.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

381.0ms	8299×	body	80	valid
99.0ms	2456×	body	80	overflowed
80.0ms	265×	body	640	valid
75.0ms	138×	body	1280	valid
32.0ms	173×	body	320	valid
13.0ms	114×	body	160	valid

Details

sample35.0ms

simplify5.0ms

prune3.0ms

localize8.0ms

rewrite14.0ms

series23.0ms

simplify51.0ms

prune103.0ms

localize10.0ms

rewrite19.0ms

series32.0ms

simplify41.0ms

prune150.0ms

localize15.0ms

rewrite14.0ms

series28.0ms

simplify45.0ms

prune134.0ms

localize19.0ms

rewrite13.0ms

series55.0ms

simplify56.0ms

prune135.0ms

regimes105.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample957.0ms

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