Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	239×	body	80	valid
4.0ms	9×	body	1280	valid
1.0ms	5×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

13.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify91.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 4 (88.0ms)

Iter	Nodes	Cost
0	97	89
1	261	81
2	773	81
3	3727	81
4	5001	80

prune54.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
52×	`prod-diff`
50×	`add-sqr-sqrt`
45×	`add-cube-cbrt`
37×	`times-frac`
16×	`distribute-lft-out`
9×	`add-log-exp`
4×	`fma-neg` `div-inv`
3×	`fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `diff-log` `sum-log` `frac-sub` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

2 → 95

Calls

2 calls:

71.0ms	(- (+ x (/ x 2.0)) (/ y 2.0))
9.0ms	(+ x (/ x 2.0))

series65.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (+ x (/ x 2.0)) (/ y 2.0))
26.0ms	(+ x (/ x 2.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	460	1578
1	1482	1102
2	5001	991

prune130.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
189×	`*-un-lft-identity`
184×	`add-sqr-sqrt` `add-cube-cbrt`
171×	`associate-+r+`
169×	`prod-diff`
26×	`div-inv`
6×	`add-log-exp`
3×	`fma-def`
2×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out--`

Counts

1 → 191

Calls

1 calls:

59.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify71.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	980	2475
1	2171	2167
2	5001	1589

prune548.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ y 2.0))
0.6b	(cbrt (/ y 2.0))
0.7b	(pow (cbrt (/ x 2.0)) 3)
60.3b	(fma (- (cbrt (/ y 2.0))) (* (cbrt (/ y 2.0)) (cbrt (/ y 2.0))) (* (cbrt (/ y 2.0)) (* (cbrt (/ y 2.0)) (cbrt (/ y 2.0)))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-unpow` `cbrt-div` `pow1/3`
2×	`pow-pow`
1×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `pow-exp` `fma-udef` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 111

Calls

4 calls:

1.0ms	(cbrt (/ y 2.0))
1.0ms	(cbrt (/ y 2.0))
5.0ms	(pow (cbrt (/ x 2.0)) 3)
0.0ms	(fma (- (cbrt (/ y 2.0))) (* (cbrt (/ y 2.0)) (cbrt (/ y 2.0))) (* (cbrt (/ y 2.0)) (* (cbrt (/ y 2.0)) (cbrt (/ y 2.0)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt (/ y 2.0))
224.0ms	(cbrt (/ y 2.0))
289.0ms	(pow (cbrt (/ x 2.0)) 3)
728.0ms	(fma (- (cbrt (/ y 2.0))) (* (cbrt (/ y 2.0)) (cbrt (/ y 2.0))) (* (cbrt (/ y 2.0)) (* (cbrt (/ y 2.0)) (cbrt (/ y 2.0)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	363	721
1	1615	641
2	5001	633

prune398.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes50.0ms

Accuracy

0% (0.1b 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	8	4
1	8	4

end0.0ms

sample493.0ms

Algorithm

intervals

Results

278.0ms	7389×	body	80	valid
32.0ms	209×	body	1280	valid
19.0ms	157×	body	640	valid
18.0ms	98×	body	2560	valid
8.0ms	88×	body	320	valid
4.0ms	62×	body	160	valid