Details

sample24.0ms

Algorithm

intervals

Results

9.0ms	244×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	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))

rewrite6.0ms

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` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

6.0ms

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

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify47.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	88	110
1	226	97
2	540	97
3	1522	97
4	5001	97

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

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))
12.5b	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
29.7b	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

121×	`add-sqr-sqrt`
97×	`times-frac`
91×	`*-un-lft-identity`
79×	`add-cube-cbrt`
40×	`prod-diff`
20×	`difference-of-squares`
18×	`add-exp-log` `add-cbrt-cube`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
8×	`div-inv` `add-log-exp`
6×	`associate-/r*` `distribute-lft-out--`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `flip3--` `fma-neg` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `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 → 198

Calls

4 calls:

13.0ms	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
8.0ms	(- x (/ (fabs (- y x)) 2.0))
3.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
18.0ms	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

series118.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
20.0ms	(- x (/ (fabs (- y x)) 2.0))
28.0ms	(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
53.0ms	(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

simplify130.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	882	3559
1	4054	2716
2	5001	2673

prune440.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (fabs (- y x)) 2)
0.0b	(- x (/ (fabs (- y x)) 2.0))
13.1b	(fma x x (- (/ (pow (fabs (- y x)) 2) (* 2.0 2.0))))
29.7b	(/ (fma x x (- (/ (pow (fabs (- y x)) 2) (* 2.0 2.0)))) (- x (/ (fabs (- y x)) 2.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
52×	`add-cube-cbrt`
50×	`times-frac`
39×	`prod-diff`
10×	`difference-of-squares`
7×	`add-exp-log`
6×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
5×	`pow1` `distribute-lft-out--`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
3×	`unpow-prod-down` `pow-unpow` `fma-neg` `associate-/l*`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `pow-pow` `frac-2neg` `diff-log` `div-exp` `pow-exp` `clear-num` `fma-udef` `unpow2` `sqr-pow`

Counts

4 → 132

Calls

4 calls:

1.0ms	(pow (fabs (- y x)) 2)
8.0ms	(- x (/ (fabs (- y x)) 2.0))
0.0ms	(fma x x (- (/ (pow (fabs (- y x)) 2) (* 2.0 2.0))))
12.0ms	(/ (fma x x (- (/ (pow (fabs (- y x)) 2) (* 2.0 2.0)))) (- x (/ (fabs (- y x)) 2.0)))

series123.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(pow (fabs (- y x)) 2)
20.0ms	(- x (/ (fabs (- y x)) 2.0))
34.0ms	(fma x x (- (/ (pow (fabs (- y x)) 2) (* 2.0 2.0))))
60.0ms	(/ (fma x x (- (/ (pow (fabs (- y x)) 2) (* 2.0 2.0)))) (- x (/ (fabs (- y x)) 2.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	556	2573
1	1972	1922
2	5001	1809

prune303.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

series101.0ms

Counts

1 → 3

Calls

1 calls:

101.0ms

(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	88	117
1	275	101
2	1326	95
3	5001	92

prune31.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes60.0ms

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

sample305.0ms

Algorithm

intervals

Results

153.0ms	7702×	body	80	valid
11.0ms	118×	body	1280	valid
5.0ms	67×	body	640	valid
4.0ms	41×	body	2560	valid
3.0ms	47×	body	320	valid
1.0ms	30×	body	160	valid