Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	240×	body	80	valid
0.0ms	6×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify38.0ms

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

localize9.0ms

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:

12.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify110.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 4 (106.0ms)

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

prune56.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
52×	`prod-diff`
48×	`add-sqr-sqrt`
43×	`add-cube-cbrt`
37×	`times-frac`
15×	`distribute-lft-out`
6×	`add-log-exp`
4×	`fma-neg` `div-inv`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+` `log1p-expm1-u`

Counts

1 → 78

Calls

1 calls:

71.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify67.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	451	1522
1	1443	1047
2	5002	936

prune98.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(cbrt (+ x (/ x 2.0)))

rewrite71.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 103

Calls

4 calls:

50.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
6.0ms	(cbrt (+ x (/ x 2.0)))
6.0ms	(cbrt (+ x (/ x 2.0)))
6.0ms	(cbrt (+ x (/ x 2.0)))

series955.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
234.0ms	(cbrt (+ x (/ x 2.0)))
231.0ms	(cbrt (+ x (/ x 2.0)))
220.0ms	(cbrt (+ x (/ x 2.0)))

simplify102.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	183	879
1	576	828
2	2517	761
3	5001	756

prune369.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(cbrt (cbrt (+ x (/ x 2.0))))
0.6b	(cbrt (cbrt (+ x (/ x 2.0))))
0.6b	(cbrt (cbrt (+ x (/ x 2.0))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
19×	`*-un-lft-identity`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

4 → 73

Calls

4 calls:

5.0ms	(cbrt (+ x (/ x 2.0)))
6.0ms	(cbrt (cbrt (+ x (/ x 2.0))))
6.0ms	(cbrt (cbrt (+ x (/ x 2.0))))
6.0ms	(cbrt (cbrt (+ x (/ x 2.0))))

series1.6s

Counts

4 → 12

Calls

4 calls:

232.0ms	(cbrt (+ x (/ x 2.0)))
442.0ms	(cbrt (cbrt (+ x (/ x 2.0))))
441.0ms	(cbrt (cbrt (+ x (/ x 2.0))))
442.0ms	(cbrt (cbrt (+ x (/ x 2.0))))

simplify89.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	130	607
1	257	573
2	633	565
3	2099	565
4	5001	565

prune383.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample301.0ms

Algorithm

intervals

Results

133.0ms	7396×	body	80	valid
16.0ms	204×	body	1280	valid
10.0ms	160×	body	640	valid
9.0ms	102×	body	320	valid
8.0ms	90×	body	2560	valid
2.0ms	50×	body	160	valid