Details

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

sample37.0ms

Algorithm

intervals

Results

21.0ms	94×	body	1280	valid
5.0ms	133×	body	80	valid
4.0ms	20×	body	640	valid
1.0ms	7×	body	320	valid
0.0ms	2×	body	160	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	442	12
1	442	12

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 14.3b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ 1.0 (hypot 1.0 x)))
0.0b	(/ 1.0 (hypot 1.0 x))
0.0b	(hypot 1.0 x)
1.3b	(- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-/r` `associate-/l`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 59

Calls

4 calls:

6.0ms	(+ 1.0 (/ 1.0 (hypot 1.0 x)))
3.0ms	(/ 1.0 (hypot 1.0 x))
1.0ms	(hypot 1.0 x)
3.0ms	(- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

series30.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ 1.0 (/ 1.0 (hypot 1.0 x)))
4.0ms	(/ 1.0 (hypot 1.0 x))
1.0ms	(hypot 1.0 x)
20.0ms	(- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

simplify67.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5028	716

prune135.0ms

Filtered

52 candidates to 71 candidates (-36.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	5	72

Merged error: 13.8b

Counts

72 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 0.5 (hypot 1.0 x))
0.0b	(hypot 1.0 x)
0.0b	(hypot 1.0 x)
0.7b	(- (- 1.0 0.5) (/ 0.5 (hypot 1.0 x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`times-frac`
9×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`diff-log` `associate-/r` `associate-/l` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-sub` `flip--` `difference-of-squares`
1×	`cbrt-undiv` `associate--l-` `frac-2neg` `div-exp` `associate--l+` `clear-num` `div-inv`

Counts

4 → 61

Calls

4 calls:

3.0ms	(/ 0.5 (hypot 1.0 x))
1.0ms	(hypot 1.0 x)
1.0ms	(hypot 1.0 x)
12.0ms	(- (- 1.0 0.5) (/ 0.5 (hypot 1.0 x)))

series12.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 0.5 (hypot 1.0 x))
1.0ms	(hypot 1.0 x)
1.0ms	(hypot 1.0 x)
6.0ms	(- (- 1.0 0.5) (/ 0.5 (hypot 1.0 x)))

simplify40.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4898	669
1	4898	669

prune171.0ms

Filtered

54 candidates to 73 candidates (-35.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	73	5	78

Merged error: 13.8b

Counts

78 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot 1.0 x)
0.1b	(pow (/ 0.5 (hypot 1.0 x)) 3)
0.7b	(- (pow (- 1.0 0.5) 3) (pow (/ 0.5 (hypot 1.0 x)) 3))
0.7b	(- (/ 0.5 (hypot 1.0 x)) 0.5)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
35×	`unpow-prod-down` `cube-prod`
27×	`times-frac`
26×	`difference-of-squares`
19×	`add-cube-cbrt`
14×	`distribute-lft-out--`
11×	`sqr-pow`
8×	`add-log-exp`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `cube-div`
3×	`pow-unpow` `flip3--` `flip--`
2×	`sub-neg` `diff-log` `pow-exp` `frac-sub` `div-inv` `rem-cube-cbrt`
1×	`difference-cubes` `cbrt-undiv` `cube-mult` `pow-to-exp` `pow-pow` `unpow3` `div-exp`

Counts

4 → 114

Calls

4 calls:

1.0ms	(hypot 1.0 x)
5.0ms	(pow (/ 0.5 (hypot 1.0 x)) 3)
32.0ms	(- (pow (- 1.0 0.5) 3) (pow (/ 0.5 (hypot 1.0 x)) 3))
8.0ms	(- (/ 0.5 (hypot 1.0 x)) 0.5)

series31.0ms

Counts

4 → 12

Calls

4 calls:

1.0ms	(hypot 1.0 x)
9.0ms	(pow (/ 0.5 (hypot 1.0 x)) 3)
15.0ms	(- (pow (- 1.0 0.5) 3) (pow (/ 0.5 (hypot 1.0 x)) 3))
6.0ms	(- (/ 0.5 (hypot 1.0 x)) 0.5)

simplify61.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5533	1904

prune382.0ms

Filtered

66 candidates to 126 candidates (-90.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	121	5	126
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	126	5	131

Merged error: 13.6b

Counts

131 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ 0.5 (hypot 1.0 x)) 3)
0.1b	(pow (/ 0.5 (hypot 1.0 x)) 2)
0.7b	(- (pow (/ 0.5 (hypot 1.0 x)) 2) (* 0.5 0.5))
0.7b	(- (pow (- 1.0 0.5) 3) (pow (/ 0.5 (hypot 1.0 x)) 3))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
50×	`unpow-prod-down`
49×	`*-un-lft-identity`
36×	`times-frac`
35×	`cube-prod`
29×	`difference-of-squares`
27×	`add-cube-cbrt`
13×	`distribute-lft-out--` `sqr-pow`
10×	`add-exp-log`
8×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`pow1` `pow-unpow`
5×	`cube-div`
4×	`pow-exp`
3×	`flip3--` `flip--` `div-inv`
2×	`pow-to-exp` `sub-neg` `pow-pow` `diff-log` `div-exp` `frac-sub` `unpow2` `rem-cube-cbrt`
1×	`difference-cubes` `cbrt-undiv` `cube-mult` `unpow3`

Counts

4 → 138

Calls

4 calls:

5.0ms	(pow (/ 0.5 (hypot 1.0 x)) 3)
5.0ms	(pow (/ 0.5 (hypot 1.0 x)) 2)
9.0ms	(- (pow (/ 0.5 (hypot 1.0 x)) 2) (* 0.5 0.5))
32.0ms	(- (pow (- 1.0 0.5) 3) (pow (/ 0.5 (hypot 1.0 x)) 3))

series43.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(pow (/ 0.5 (hypot 1.0 x)) 3)
7.0ms	(pow (/ 0.5 (hypot 1.0 x)) 2)
12.0ms	(- (pow (/ 0.5 (hypot 1.0 x)) 2) (* 0.5 0.5))
15.0ms	(- (pow (- 1.0 0.5) 3) (pow (/ 0.5 (hypot 1.0 x)) 3))

simplify63.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5498	2239

prune518.0ms

Filtered

78 candidates to 150 candidates (-92.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	150	5	155

Merged error: 13.6b

Counts

155 → 5

regimes107.0ms

Accuracy

0% (0.3b remaining)

Error of 14.8b against oracle of 14.5b and baseline of 14.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	74
1	66	74

end0.0ms

sample1.1s

Algorithm

intervals

Results

650.0ms	2852×	body	1280	valid
162.0ms	4046×	body	80	valid
116.0ms	641×	body	640	valid
38.0ms	306×	body	320	valid
12.0ms	155×	body	160	valid

Details

analyze1.0ms

sample37.0ms

simplify19.0ms

prune6.0ms

localize8.0ms

rewrite14.0ms

series30.0ms

simplify67.0ms

prune135.0ms

localize12.0ms

rewrite18.0ms

series12.0ms

simplify40.0ms

prune171.0ms

localize22.0ms

rewrite51.0ms

series31.0ms

simplify61.0ms

prune382.0ms

localize26.0ms

rewrite56.0ms

series43.0ms

simplify63.0ms

prune518.0ms

regimes107.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling