Details

analyze69.0ms

Algorithm: search

sample25.0ms

Algorithm

intervals

Results

10.0ms	235×	body	80	valid
3.0ms	5×	body	1280	valid
2.0ms	8×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	80	invalid

simplify4.0ms

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: 0.5b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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:

3.0ms	(+ 1.0 (exp x))
5.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(log (+ 1.0 (exp x)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify46.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (42.0ms)

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

prune84.0ms

Filtered

40 candidates to 54 candidates (-35.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	4	55

Merged error: 0b

Counts

55 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
1.2b	(log (sqrt (+ 1.0 (exp x))))
1.2b	(log (sqrt (+ 1.0 (exp x))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
12.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
4.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ 1.0 (exp x))
15.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
14.0ms	(log (sqrt (+ 1.0 (exp x))))
15.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify88.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	272	721
1	917	616
2	3302	584
3	5002	576

prune156.0ms

Filtered

61 candidates to 82 candidates (-34.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	82	4	86

Merged error: 0b

Counts

86 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
0.0b	(* 1/2 (pow x 2))
0.0b	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
8.3b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
10×	`add-exp-log` `add-log-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`log-prod` `add-cbrt-cube`
5×	`pow1`
4×	`unpow-prod-down` `log-div` `unswap-sqr`
3×	`flip3-+` `associate-l` `prod-exp` `associate--l+` `sum-log` `flip-+`
2×	`associate--l-` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `associate-+r+` `flip3--` `diff-log` `rem-log-exp` `pow-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 71

Calls

4 calls:

6.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
5.0ms	(* 1/2 (pow x 2))
8.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
6.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series20.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
3.0ms	(* 1/2 (pow x 2))
9.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
4.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	371	575
1	1439	529
2	5001	520

prune141.0ms

Filtered

61 candidates to 83 candidates (-36.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	83	4	87

Merged error: 0b

Counts

87 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(log (+ 1.0 (exp x)))
0.5b	(* (log (+ (exp x) 1.0)) (+ (log (+ 1.0 (exp x))) (* x y)))
0.7b	(pow (log (+ 1.0 (exp x))) 3)
16.6b	(/ (- (pow (log (+ 1.0 (exp x))) 3) (pow (* x y) 3)) (+ (* (log (+ (exp x) 1.0)) (+ (log (+ 1.0 (exp x))) (* x y))) (* (* x y) (* x y))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
39×	`times-frac`
38×	`*-un-lft-identity`
32×	`difference-of-squares`
28×	`add-cube-cbrt`
25×	`sqr-pow`
13×	`associate-/l*`
12×	`unpow-prod-down` `cube-prod`
11×	`pow1`
10×	`add-exp-log`
9×	`add-cbrt-cube`
4×	`difference-cubes` `log-prod` `associate-l` `log-pow` `distribute-lft-out--` `add-log-exp`
3×	`pow-unpow` `flip3-+` `associate-r` `associate-/r*` `flip-+`
2×	`log-div` `associate-*r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `cube-mult` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `distribute-lft-in` `unpow3` `div-sub` `div-exp` `rem-log-exp` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 135

Calls

4 calls:

3.0ms	(log (+ 1.0 (exp x)))
6.0ms	(* (log (+ (exp x) 1.0)) (+ (log (+ 1.0 (exp x))) (* x y)))
2.0ms	(pow (log (+ 1.0 (exp x))) 3)
18.0ms	(/ (- (pow (log (+ 1.0 (exp x))) 3) (pow (* x y) 3)) (+ (* (log (+ (exp x) 1.0)) (+ (log (+ 1.0 (exp x))) (* x y))) (* (* x y) (* x y))))

series91.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(log (+ 1.0 (exp x)))
21.0ms	(* (log (+ (exp x) 1.0)) (+ (log (+ 1.0 (exp x))) (* x y)))
16.0ms	(pow (log (+ 1.0 (exp x))) 3)
44.0ms	(/ (- (pow (log (+ 1.0 (exp x))) 3) (pow (* x y) 3)) (+ (* (log (+ (exp x) 1.0)) (+ (log (+ 1.0 (exp x))) (* x y))) (* (* x y) (* x y))))

simplify129.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	693	3202
1	3329	3080
2	5001	3030

prune566.0ms

Filtered

97 candidates to 147 candidates (-51.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	147	4	151

Merged error: 0b

Counts

151 → 4

regimes135.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

analyze68.0ms

Algorithm: search

sample693.0ms

Algorithm

intervals

Results

337.0ms	7313×	body	80	valid
81.0ms	265×	body	640	valid
80.0ms	142×	body	1280	valid
34.0ms	181×	body	320	valid
11.0ms	99×	body	160	valid
2.0ms	45×	body	80	invalid
1.0ms	12×	body	80	overflowed

Details

analyze69.0ms

sample25.0ms

simplify4.0ms

prune3.0ms

localize7.0ms

rewrite13.0ms

series24.0ms

simplify46.0ms

prune84.0ms

localize10.0ms

rewrite25.0ms

series46.0ms

simplify88.0ms

prune156.0ms

localize10.0ms

rewrite26.0ms

series20.0ms

simplify45.0ms

prune141.0ms

localize20.0ms

rewrite34.0ms

series91.0ms

simplify129.0ms

prune566.0ms

regimes135.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze68.0ms

sample693.0ms

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