Details

sample65.0ms

Algorithm

intervals

Results

38.0ms	94×	body	10240	exit
10.0ms	265×	body	80	valid
2.0ms	8×	body	640	valid
2.0ms	3×	body	1280	valid
1.0ms	9×	body	320	valid
0.0ms	4×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

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: 0.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.8b	(log (+ 1.0 (exp x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

4.0ms	(+ 1.0 (exp x))
14.0ms	(- (log (+ 1.0 (exp x))) (* x y))
4.0ms	(log (+ 1.0 (exp x)))

series137.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ 1.0 (exp x))
65.0ms	(- (log (+ 1.0 (exp x))) (* x y))
63.0ms	(log (+ 1.0 (exp x)))

simplify56.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	216	377
1	579	356
2	1597	353
3	5001	352

prune134.0ms

Filtered

61 candidates to 43 candidates (29.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	5	62

Merged error: 0.5b

Counts

62 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp x)))
0.0b	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
1.5b	(log (sqrt (+ 1.0 (exp x))))
1.5b	(log (sqrt (+ 1.0 (exp x))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
28×	`log-prod`
20×	`sqrt-prod`
19×	`add-sqr-sqrt`
17×	`pow1`
16×	`associate--l+`
14×	`log-pow` `add-log-exp`
13×	`add-cube-cbrt` `distribute-lft-out`
10×	`sqrt-div` `distribute-lft-out--`
8×	`log-div`
7×	`associate-+l+` `associate-+r+`
6×	`add-exp-log`
5×	`flip3-+` `diff-log` `associate-l` `flip-+`
4×	`associate--l-` `sum-log` `add-cbrt-cube`
3×	`sqrt-pow1` `pow1/2`
2×	`associate-+l-` `associate-+r-` `rem-log-exp` `difference-of-squares`
1×	`+-commutative` `sub-neg` `rem-sqrt-square` `flip3--` `flip--` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 (exp x)))
31.0ms	(- (+ (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))))

series423.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt (+ 1.0 (exp x)))
162.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
111.0ms	(log (sqrt (+ 1.0 (exp x))))
117.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify118.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	317	1040
1	971	925
2	3425	877
3	5001	867

prune244.0ms

Filtered

116 candidates to 77 candidates (33.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	116	5	121

Merged error: 0.5b

Counts

121 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp x)))
0.0b	(- (+ (* (/ 1 2) (log (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
0.8b	(log (+ 1.0 (exp x)))
1.5b	(log (sqrt (+ 1.0 (exp x))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
26×	`log-prod`
18×	`add-sqr-sqrt` `distribute-lft-out`
17×	`associate--l+`
15×	`associate-l`
14×	`pow1` `distribute-lft-out--`
12×	`add-cube-cbrt` `sqrt-prod`
11×	`add-log-exp`
10×	`log-pow`
8×	`associate-+l+`
7×	`associate-+r+`
6×	`add-exp-log` `log-div` `sqrt-div`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `add-cbrt-cube` `flip-+` `div-inv`
3×	`diff-log`
2×	`associate--l-` `associate-+r-` `sqrt-pow1` `pow1/2` `rem-log-exp` `sum-log` `difference-of-squares`
1×	`+-commutative` `sub-neg` `rem-sqrt-square` `flip3--` `flip--` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 (exp x)))
39.0ms	(- (+ (* (/ 1 2) (log (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
3.0ms	(log (+ 1.0 (exp x)))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series439.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt (+ 1.0 (exp x)))
230.0ms	(- (+ (* (/ 1 2) (log (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
67.0ms	(log (+ 1.0 (exp x)))
109.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify49.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	396	1048
1	1244	987
2	5001	817

prune260.0ms

Filtered

112 candidates to 76 candidates (32.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	112	5	117

Merged error: 0.5b

Counts

117 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (sqrt (+ 1.0 (exp x))))
1.3b	(log (sqrt (sqrt (+ 1.0 (exp x)))))
1.3b	(log (sqrt (sqrt (+ 1.0 (exp x)))))
1.5b	(log (sqrt (+ 1.0 (exp x))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

38×	`sqrt-prod`
27×	`log-prod`
22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`pow1` `add-cube-cbrt` `sqrt-div`
13×	`sqrt-pow1` `log-pow`
7×	`add-exp-log` `pow1/2`
6×	`log-div`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
3×	`rem-log-exp`
2×	`rem-sqrt-square`

Counts

4 → 92

Calls

4 calls:

4.0ms	(sqrt (sqrt (+ 1.0 (exp x))))
8.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
5.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series671.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(sqrt (sqrt (+ 1.0 (exp x))))
215.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
208.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
113.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify113.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	261	835
1	796	780
2	3057	769
3	5002	744

prune267.0ms

Filtered

104 candidates to 70 candidates (32.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	104	5	109

Merged error: 0.5b

Counts

109 → 5

regimes52.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	18
1	17	18

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2474×	body	10240	exit
314.0ms	8391×	body	80	valid
69.0ms	255×	body	640	valid
63.0ms	121×	body	1280	valid
32.0ms	196×	body	320	valid
9.0ms	93×	body	160	valid