Details

sample14.0ms

Algorithm

intervals

Results

4.0ms	246×	body	80	valid
1.0ms	4×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:

10.0ms

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

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify113.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

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

prune37.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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))))
0.6b	(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)))

rewrite104.0ms

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:

74.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
10.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
61.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
59.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
66.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	364	1473
1	1202	1394
2	5001	1293

prune279.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

9.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
55.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
60.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
58.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	206	844
1	579	800
2	2056	788
3	5001	776

prune274.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

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))))

rewrite122.0ms

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:

10.0ms	(+ x (/ (fabs (- y x)) 2.0))
15.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
18.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
76.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series136.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ x (/ (fabs (- y x)) 2.0))
46.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
51.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
18.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify44.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	273	1063
1	1071	971
2	5001	937

prune197.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes110.0ms

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

sample338.0ms

Algorithm

intervals

Results

145.0ms	7699×	body	80	valid
10.0ms	95×	body	640	valid
9.0ms	103×	body	1280	valid
4.0ms	39×	body	2560	valid
2.0ms	40×	body	320	valid
1.0ms	25×	body	160	valid