Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	249×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	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: 0.0b

localize5.0ms

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))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify117.0ms

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

prune32.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 146

Calls

4 calls:

240.0ms	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
10.0ms	(- x (/ (fabs (- y x)) 2.0))
7.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
37.0ms	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

series113.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
21.0ms	(- x (/ (fabs (- y x)) 2.0))
26.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
47.0ms	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

simplify106.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	646	2135
1	3374	1888
2	5002	1853

prune344.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x))
5.9b	(+ (* (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x)) (* x x))
11.8b	(+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))
45.9b	(/ (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (+ (* (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x)) (* x x)))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
38×	`times-frac`
36×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
25×	`distribute-lft-out`
20×	`unpow-prod-down` `cube-prod`
13×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
8×	`add-log-exp`
6×	`pow1` `associate-r`
5×	`sum-cubes`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `flip3-+` `flip-+`
3×	`associate-/r*`
2×	`cbrt-undiv` `+-commutative` `frac-times` `flip3--` `associate-*r/` `div-exp` `prod-exp` `sum-log` `associate-/r/` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-lft-out--`

Counts

4 → 130

Calls

4 calls:

54.0ms	(* (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x))
24.0ms	(+ (* (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x)) (* x x))
37.0ms	(+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))
146.0ms	(/ (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (+ (* (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x)) (* x x)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x))
39.0ms	(+ (* (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x)) (* x x))
37.0ms	(+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))
72.0ms	(/ (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (+ (* (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x)) (* x x)))

simplify84.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	526	2430
1	2577	2280
2	5002	2272

prune344.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes55.0ms

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	8	4
1	8	4

end0.0ms

sample328.0ms

Algorithm

intervals

Results

136.0ms	7690×	body	80	valid
11.0ms	103×	body	1280	valid
9.0ms	51×	body	2560	valid
6.0ms	94×	body	640	valid
2.0ms	39×	body	320	valid
1.0ms	25×	body	160	valid