Details

analyze19.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

sample37.0ms

Algorithm

intervals

Results

5.0ms	247×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	181	8
1	181	8

prune6.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

5.0ms

(+ x (/ (fabs (- y x)) 2.0))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(+ x (/ (fabs (- y x)) 2.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4944	171
1	4944	171

prune25.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Merged error: 0.0b

Counts

16 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.0b	(+ x (/ (fabs (- y x)) 2.0))
0.0b	(+ x (/ (fabs (- y x)) 2.0))
0.4b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
30×	`sqrt-prod`
26×	`add-sqr-sqrt`
20×	`pow1`
14×	`sqrt-div`
13×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`
8×	`add-log-exp`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-r/` `associate-l/` `sum-log`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

5.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms	(+ x (/ (fabs (- y x)) 2.0))
5.0ms	(+ x (/ (fabs (- y x)) 2.0))
18.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series26.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
4.0ms	(+ x (/ (fabs (- y x)) 2.0))
4.0ms	(+ x (/ (fabs (- y x)) 2.0))
5.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify33.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4979	1509
1	4979	1509

prune128.0ms

Filtered

62 candidates to 114 candidates (-83.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0b

Counts

118 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.2b	(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.6b	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

121×	`sqrt-prod`
74×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`sqrt-div`
29×	`unpow-prod-down` `cube-prod`
26×	`associate-l`
25×	`add-cube-cbrt`
24×	`unswap-sqr`
12×	`pow1` `sqrt-pow1`
10×	`add-exp-log` `associate-r`
9×	`flip3-+` `flip-+`
8×	`cube-div`
7×	`add-cbrt-cube` `distribute-lft-out`
6×	`pow1/2`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 170

Calls

4 calls:

6.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
22.0ms	(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
9.0ms	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

series76.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms	(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
34.0ms	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

simplify63.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5144	2974

prune251.0ms

Filtered

86 candidates to 182 candidates (-111.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	182	5	187

Merged error: 0b

Counts

187 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))
0.0b	(pow (+ x (/ (fabs (- y x)) 2.0)) 3/4)
0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.2b	(* (pow (+ x (/ (fabs (- y x)) 2.0)) 3/4) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
30×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`unpow-prod-down`
10×	`add-exp-log` `associate-r`
9×	`unswap-sqr`
8×	`pow1` `sqrt-div` `associate-l`
7×	`sqrt-pow1`
6×	`add-cbrt-cube` `add-log-exp`
5×	`distribute-lft-out` `sqr-pow`
3×	`pow-unpow` `flip3-+` `pow1/2` `prod-exp` `flip-+`
2×	`pow-to-exp` `rem-sqrt-square` `associate-*r/` `pow-exp` `pow-prod-up`
1×	`+-commutative` `pow-pow` `sum-log` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

5.0ms	(+ x (/ (fabs (- y x)) 2.0))
8.0ms	(pow (+ x (/ (fabs (- y x)) 2.0)) 3/4)
7.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
17.0ms	(* (pow (+ x (/ (fabs (- y x)) 2.0)) 3/4) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

series47.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ x (/ (fabs (- y x)) 2.0))
19.0ms	(pow (+ x (/ (fabs (- y x)) 2.0)) 3/4)
19.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms	(* (pow (+ x (/ (fabs (- y x)) 2.0)) 3/4) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4895	2002
1	4895	2002

prune157.0ms

Filtered

67 candidates to 107 candidates (-59.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	107	5	112

Merged error: 0b

Counts

112 → 5

regimes138.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample781.0ms

Algorithm

intervals

Results

162.0ms	7671×	body	80	valid
13.0ms	122×	body	1280	valid
8.0ms	89×	body	640	valid
7.0ms	47×	body	2560	valid
3.0ms	46×	body	320	valid
1.0ms	25×	body	160	valid

Details

analyze19.0ms

sample37.0ms

simplify11.0ms

prune6.0ms

localize6.0ms

rewrite6.0ms

series5.0ms

simplify51.0ms

prune25.0ms

localize8.0ms

rewrite37.0ms

series26.0ms

simplify33.0ms

prune128.0ms

localize12.0ms

rewrite52.0ms

series76.0ms

simplify63.0ms

prune251.0ms

localize23.0ms

rewrite40.0ms

series47.0ms

simplify52.0ms

prune157.0ms

regimes138.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample781.0ms

Profiling