Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	241×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

20.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify82.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	91	81
1	242	74
2	704	74
3	3412	74
4	5001	74

prune29.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `flip3-+` `times-frac` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+` `distribute-lft-out`

Counts

1 → 20

Calls

1 calls:

87.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	161	176
1	472	166
2	1719	162
3	5002	162

prune44.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
0.0b	(- x (/ (- x y) 2.0))
14.5b	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
34.6b	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 171

Calls

4 calls:

52.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
20.0ms	(- x (/ (- x y) 2.0))
10.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
60.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

series181.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
35.0ms	(- x (/ (- x y) 2.0))
29.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
95.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

simplify121.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	767	1986
1	4021	1797
2	5001	1766

prune340.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite221.0ms

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:

158.0ms	(* (cbrt (- x (/ (- x y) 2.0))) (cbrt (- x (/ (- x y) 2.0))))
19.0ms	(cbrt (- x (/ (- x y) 2.0)))
18.0ms	(cbrt (- x (/ (- x y) 2.0)))
22.0ms	(cbrt (- x (/ (- x y) 2.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

492.0ms	(* (cbrt (- x (/ (- x y) 2.0))) (cbrt (- x (/ (- x y) 2.0))))
208.0ms	(cbrt (- x (/ (- x y) 2.0)))
213.0ms	(cbrt (- x (/ (- x y) 2.0)))
212.0ms	(cbrt (- x (/ (- x y) 2.0)))

simplify123.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	312	1322
1	929	1257
2	4183	1163
3	5001	1148

prune291.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes82.0ms

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	7	3
1	7	3

end0.0ms

sample341.0ms

Algorithm

intervals

Results

132.0ms	7358×	body	80	valid
15.0ms	225×	body	1280	valid
11.0ms	194×	body	640	valid
8.0ms	93×	body	2560	valid
3.0ms	79×	body	320	valid
2.0ms	53×	body	160	valid