Details

analyze19.0ms

Algorithm: search

sample13.0ms

Algorithm

intervals

Results

6.0ms	249×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	4
1	11	4
2	11	4

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:

9.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify107.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	83	100
1	207	91
2	481	91
3	1288	91
4	3899	91
5	5002	91

prune19.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0.0b

Counts

16 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
0.0b	(- x (/ (fabs (- y x)) 2.0))
12.3b	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
28.0b	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
70×	`times-frac`
56×	`*-un-lft-identity`
44×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`add-exp-log` `add-cbrt-cube`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
8×	`add-log-exp`
6×	`associate-/r*` `distribute-lft-out--`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 146

Calls

4 calls:

9.0ms	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
6.0ms	(- x (/ (fabs (- y x)) 2.0))
3.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
11.0ms	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

series34.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
5.0ms	(- x (/ (fabs (- y x)) 2.0))
8.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
15.0ms	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

simplify102.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	646	2135
1	3374	1888
2	5001	1853

prune212.0ms

Filtered

115 candidates to 158 candidates (-37.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	157	3	160

Merged error: 0.0b

Counts

160 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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)))
0.6b	(* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
50×	`cbrt-prod`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
11×	`pow1` `swap-sqr`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
7×	`times-frac`
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 → 107

Calls

4 calls:

5.0ms	(cbrt (- x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (- x (/ (fabs (- y x)) 2.0)))
5.0ms	(cbrt (- x (/ (fabs (- y x)) 2.0)))
19.0ms	(* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0))))

series98.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt (- x (/ (fabs (- y x)) 2.0)))
24.0ms	(cbrt (- x (/ (fabs (- y x)) 2.0)))
22.0ms	(cbrt (- x (/ (fabs (- y x)) 2.0)))
30.0ms	(* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0))))

simplify50.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	441	1784
1	1505	1705
2	5002	1592

prune280.0ms

Filtered

87 candidates to 119 candidates (-36.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	119	3	122

Merged error: 0.0b

Counts

122 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

12.3b	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
12.3b	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
16.3b	(sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))
16.3b	(sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `difference-of-squares`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 58

Calls

4 calls:

3.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
3.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
3.0ms	(sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))
4.0ms	(sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
8.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
15.0ms	(sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))
15.0ms	(sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))

simplify58.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	152	950
1	544	878
2	2202	868
3	5001	858

prune123.0ms

Filtered

56 candidates to 70 candidates (-25.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Merged error: 0.0b

Counts

73 → 3

regimes118.0ms

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	8	4
1	8	4

end0.0ms

analyze19.0ms

Algorithm: search

sample348.0ms

Algorithm

intervals

Results

191.0ms	7716×	body	80	valid
11.0ms	98×	body	1280	valid
7.0ms	51×	body	2560	valid
6.0ms	68×	body	640	valid
3.0ms	50×	body	320	valid
1.0ms	17×	body	160	valid
0.0ms	3×	body	80	invalid

Details

analyze19.0ms

sample13.0ms

simplify4.0ms

prune3.0ms

localize5.0ms

rewrite10.0ms

series5.0ms

simplify107.0ms

prune19.0ms

localize9.0ms

rewrite36.0ms

series34.0ms

simplify102.0ms

prune212.0ms

localize14.0ms

rewrite39.0ms

series98.0ms

simplify50.0ms

prune280.0ms

localize14.0ms

rewrite14.0ms

series46.0ms

simplify58.0ms

prune123.0ms

regimes118.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze19.0ms

sample348.0ms

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