Details

sample30.0ms

Algorithm

intervals

Results

12.0ms	267×	body	80	valid
3.0ms	82×	body	80	overflowed
2.0ms	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 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	23	5
3	23	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

localize10.0ms

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)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod`
6×	`pow1` `add-log-exp`
4×	`add-exp-log` `log-div` `fma-neg` `prod-diff` `associate--l+`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `flip--`

Counts

3 → 62

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)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ 1.0 (exp x))
56.0ms	(- (log (+ 1.0 (exp x))) (* x y))
59.0ms	(log (+ 1.0 (exp x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	236	404
1	702	369
2	2284	367
3	5002	340

prune137.0ms

Filtered

71 candidates to 54 candidates (76.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

localize12.0ms

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))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

35×	`log-prod`
31×	`*-un-lft-identity`
20×	`sqrt-prod`
19×	`log-pow`
18×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`pow1`
15×	`associate-+r+`
14×	`associate--l+`
12×	`prod-diff`
8×	`log-div` `sqrt-div`
7×	`associate-+l+` `distribute-lft-out` `add-log-exp`
6×	`add-exp-log` `fma-def` `sqrt-pow1` `pow1/2` `fma-neg`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`associate--l-` `associate-+l-` `sub-neg` `diff-log` `rem-log-exp` `sum-log`
1×	`+-commutative` `associate-+r-` `flip3--` `flip--`

Counts

4 → 126

Calls

4 calls:

13.0ms	(+ (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))))

series475.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))
128.0ms	(- (log (sqrt (+ 1.0 (exp x)))) (* x y))
99.0ms	(log (sqrt (+ 1.0 (exp x))))
99.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify129.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	359	1212
1	1168	1104
2	4337	1034
3	5001	1024

prune405.0ms

Filtered

138 candidates to 103 candidates (74.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	137	5	142

Merged error: 0.0b

Counts

142 → 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)))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

81×	`log-pow`
57×	`sqrt-pow1`
56×	`pow1`
40×	`*-un-lft-identity`
32×	`fma-neg` `prod-diff`
29×	`pow1/2`
28×	`distribute-rgt-out`
27×	`log-prod`
26×	`sqrt-prod`
23×	`distribute-lft-out`
22×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`sqrt-div`
10×	`log-div`
7×	`add-exp-log` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate--l-` `expm1-log1p-u` `distribute-lft1-in` `distribute-rgt1-in` `add-cbrt-cube` `log1p-expm1-u`
3×	`rem-log-exp`
2×	`associate-+l-` `associate-+r-` `count-2` `diff-log`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

4 → 160

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)))))

series661.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(- (+ (log (sqrt (sqrt (+ 1.0 (exp x))))) (log (sqrt (sqrt (+ 1.0 (exp x)))))) (* x y))
100.0ms	(log (sqrt (+ 1.0 (exp x))))
189.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
192.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	460	1657
1	1516	1373
2	5002	1282

prune403.0ms

Filtered

172 candidates to 105 candidates (61.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	172	5	177

Merged error: 0.0b

Counts

177 → 5

localize24.0ms

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×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `add-cbrt-cube` `log1p-expm1-u`
3×	`sqrt-pow1` `flip3-+` `pow1/2` `rem-log-exp` `flip-+`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `prod-diff` `sum-cubes` `flip--`

Counts

4 → 87

Calls

4 calls:

4.0ms	(log (sqrt (+ 1.0 (exp x))))
14.0ms	(log (sqrt (+ (pow 1.0 3) (pow (exp x) 3))))
6.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
9.0ms	(log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))

series432.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(log (sqrt (+ 1.0 (exp x))))
133.0ms	(log (sqrt (+ (pow 1.0 3) (pow (exp x) 3))))
41.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
157.0ms	(log (sqrt (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x))))))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	464	1033
1	1541	926
2	5001	908

prune430.0ms

Filtered

99 candidates to 73 candidates (73.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Merged error: 0.0b

Counts

104 → 5

regimes84.0ms

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

sample844.0ms

Algorithm

intervals

Results

366.0ms	8375×	body	80	valid
93.0ms	2354×	body	80	overflowed
79.0ms	265×	body	640	valid
66.0ms	124×	body	1280	valid
28.0ms	159×	body	320	valid
11.0ms	107×	body	160	valid