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

sample14.0ms

Algorithm

intervals

Results

5.0ms	243×	body	80	valid
0.0ms	5×	body	640	valid
0.0ms	4×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	1×	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

prune3.0ms

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: 0.1b

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))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify55.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4944	171
1	4944	171

prune34.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	11	4	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	5	16

Merged error: 0.0b

Counts

16 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.5b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

17.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5106	1940

prune202.0ms

Filtered

71 candidates to 107 candidates (-50.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	104	8	112

Merged error: 0.0b

Counts

112 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))
0.6b	(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))
0.6b	(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
22×	`*-un-lft-identity`
21×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`unpow2` `sqr-pow`
2×	`cbrt-div`
1×	`flip3-+` `flip-+`

Counts

4 → 74

Calls

4 calls:

6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
7.0ms	(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))
7.0ms	(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))
7.0ms	(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))

series93.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
24.0ms	(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))
27.0ms	(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))
24.0ms	(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))

simplify82.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4832	1645
1	4832	1645

prune289.0ms

Filtered

61 candidates to 86 candidates (-41.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

6.0ms	(+ x (/ (fabs (- y x)) 2.0))
6.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series37.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ x (/ (fabs (- y x)) 2.0))
13.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
14.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify38.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4979	1678
1	4979	1678

prune133.0ms

Filtered

67 candidates to 118 candidates (-76.1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	117	9	126

Merged error: 0b

Counts

126 → 9

regimes199.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample336.0ms

Algorithm

intervals

Results

178.0ms	7704×	body	80	valid
15.0ms	114×	body	1280	valid
6.0ms	76×	body	640	valid
6.0ms	46×	body	2560	valid
2.0ms	31×	body	320	valid
1.0ms	29×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze19.0ms

sample14.0ms

simplify11.0ms

prune3.0ms

localize6.0ms

rewrite6.0ms

series4.0ms

simplify55.0ms

prune34.0ms

localize10.0ms

rewrite36.0ms

series83.0ms

simplify68.0ms

prune202.0ms

localize19.0ms

rewrite29.0ms

series93.0ms

simplify82.0ms

prune289.0ms

localize11.0ms

rewrite36.0ms

series37.0ms

simplify38.0ms

prune133.0ms

regimes199.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample336.0ms

Profiling