Details

sample32.0ms

Algorithm

intervals

Results

13.0ms	267×	body	80	valid
3.0ms	82×	body	80	overflowed
3.0ms	8×	body	640	valid
2.0ms	3×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	3×	body	160	valid

simplify6.0ms

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 (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: 0.0b

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))
0.0b	(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))
6.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(log (+ 1.0 (exp x)))

series138.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ 1.0 (exp x))
62.0ms	(- (log (+ 1.0 (exp x))) (* x y))
68.0ms	(log (+ 1.0 (exp x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (48.0ms)

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

prune117.0ms

Filtered

54 candidates to 40 candidates (74.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	4	55

Merged error: 0.0b

Counts

55 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))
0.0b	(- (log (sqrt (+ 1.0 (exp x)))) (* x y))
0.7b	(log (sqrt (+ 1.0 (exp x))))
0.7b	(log (sqrt (+ 1.0 (exp x))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

14.0ms	(+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))
7.0ms	(- (log (sqrt (+ 1.0 (exp x)))) (* x y))
4.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series529.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))
146.0ms	(- (log (sqrt (+ 1.0 (exp x)))) (* x y))
109.0ms	(log (sqrt (+ 1.0 (exp x))))
107.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify89.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	309	981
1	933	910
2	3159	857
3	5001	826

prune262.0ms

Filtered

106 candidates to 76 candidates (71.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	105	5	110

Merged error: 0.0b

Counts

110 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x)))))) (* x y))
0.7b	(log (sqrt (+ 1.0 (exp x))))
0.8b	(log (sqrt (sqrt (+ 1.0 (exp x)))))
0.8b	(log (sqrt (sqrt (+ 1.0 (exp x)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
26×	`sqrt-prod`
18×	`*-un-lft-identity` `sqrt-div`
13×	`log-pow`
12×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
10×	`log-div`
9×	`sqrt-pow1`
7×	`add-exp-log` `add-log-exp`
5×	`flip3-+` `pow1/2` `flip-+`
4×	`associate--l-` `add-cbrt-cube`
3×	`rem-log-exp` `distribute-lft-out`
2×	`associate-+l-` `associate-+r-` `diff-log`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

4 → 88

Calls

4 calls:

17.0ms	(- (+ (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x)))))) (* x y))
4.0ms	(log (sqrt (+ 1.0 (exp x))))
5.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
5.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))

series715.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(- (+ (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x)))))) (* x y))
110.0ms	(log (sqrt (+ 1.0 (exp x))))
209.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
203.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))

simplify119.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	340	1025
1	1007	885
2	3993	862
3	5001	842

prune328.0ms

Filtered

100 candidates to 72 candidates (72.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	100	5	105

Merged error: 0.0b

Counts

105 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b	(log (sqrt (+ 1.0 (exp x))))
0.8b	(log (sqrt (+ (pow 1.0 3) (pow (exp x) 3))))
4.9b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
5.0b	(log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

25×	`log-prod`
22×	`*-un-lft-identity`
16×	`sqrt-prod`
10×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
9×	`log-pow`
7×	`add-exp-log`
6×	`log-div` `sqrt-div` `distribute-lft-out` `add-log-exp`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube`
3×	`sqrt-pow1` `flip3-+` `pow1/2` `rem-log-exp` `flip-+`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `sum-cubes` `flip--`

Counts

4 → 77

Calls

4 calls:

4.0ms	(log (sqrt (+ 1.0 (exp x))))
12.0ms	(log (sqrt (+ (pow 1.0 3) (pow (exp x) 3))))
7.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
10.0ms	(log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))

series474.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(log (sqrt (+ 1.0 (exp x))))
139.0ms	(log (sqrt (+ (pow 1.0 3) (pow (exp x) 3))))
51.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
171.0ms	(log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))

simplify46.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	427	965
1	1378	861
2	5001	841

prune354.0ms

Filtered

89 candidates to 62 candidates (69.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

regimes89.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	18
1	16	18

end0.0ms

sample999.0ms

Algorithm

intervals

Results

440.0ms	8375×	body	80	valid
108.0ms	2354×	body	80	overflowed
95.0ms	265×	body	640	valid
76.0ms	124×	body	1280	valid
33.0ms	159×	body	320	valid
14.0ms	107×	body	160	valid