Details

analyze20.0ms

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

6.0ms	244×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

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

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

7.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify65.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4944	171
1	4944	171

prune35.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	10	5	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	6	16

Merged error: 0.0b

Counts

16 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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:

16.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
20.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify83.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5106	1940

prune211.0ms

Filtered

71 candidates to 107 candidates (-50.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	106	7	113

Merged error: 0.0b

Counts

113 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))
0.1b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.1b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.4b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite39.0ms

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)))
17.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series39.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ x (/ (fabs (- y x)) 2.0))
14.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
15.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify45.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4979	1678
1	4979	1678

prune155.0ms

Filtered

66 candidates to 118 candidates (-78.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	118	7	125

Merged error: 0.0b

Counts

125 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0)))
0.0b	(- x (/ (fabs (- y x)) 2.0))
11.2b	(- (* x x) (* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0))))
25.0b	(/ (- (* x x) (* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0)))) (- x (/ (fabs (- y x)) 2.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
18×	`add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
10×	`difference-of-squares`
8×	`add-log-exp`
7×	`associate-r`
6×	`pow1` `associate-/r*`
5×	`distribute-lft-out--`
4×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
3×	`cbrt-undiv` `div-exp` `associate-l` `associate-/l*`
2×	`sub-neg` `diff-log` `associate-/r/` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 97

Calls

4 calls:

7.0ms	(* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0)))
9.0ms	(- x (/ (fabs (- y x)) 2.0))
4.0ms	(- (* x x) (* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0))))
12.0ms	(/ (- (* x x) (* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0)))) (- x (/ (fabs (- y x)) 2.0)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0)))
5.0ms	(- x (/ (fabs (- y x)) 2.0))
9.0ms	(- (* x x) (* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0))))
16.0ms	(/ (- (* x x) (* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0)))) (- x (/ (fabs (- y x)) 2.0)))

simplify85.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4960	2327
1	4960	2327

prune164.0ms

Filtered

82 candidates to 109 candidates (-32.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	109	7	116

Merged error: 0.0b

Counts

116 → 7

regimes180.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample358.0ms

Algorithm

intervals

Results

198.0ms	7710×	body	80	valid
11.0ms	94×	body	1280	valid
8.0ms	58×	body	2560	valid
7.0ms	74×	body	640	valid
3.0ms	41×	body	320	valid
1.0ms	23×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze20.0ms

sample14.0ms

simplify12.0ms

prune3.0ms

localize11.0ms

rewrite7.0ms

series5.0ms

simplify65.0ms

prune35.0ms

localize10.0ms

rewrite40.0ms

series88.0ms

simplify83.0ms

prune211.0ms

localize11.0ms

rewrite39.0ms

series39.0ms

simplify45.0ms

prune155.0ms

localize13.0ms

rewrite36.0ms

series37.0ms

simplify85.0ms

prune164.0ms

regimes180.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample358.0ms

Profiling