Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	320×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	5×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	1×	body	160	valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	6
1	51	5
2	172	5
3	481	5
4	1241	5
5	3102	5
6	5001	5

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
118×	`*-un-lft-identity`
117×	`prod-diff`
114×	`add-cube-cbrt`
92×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
13×	`fma-neg`
10×	`div-inv`
6×	`associate-r`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 186

Calls

3 calls:

15.0ms	(- (/ 2.0 3.0) z)
21.0ms	(* 6.0 (- (/ 2.0 3.0) z))
1.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series145.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(- (/ 2.0 3.0) z)
45.0ms	(* 6.0 (- (/ 2.0 3.0) z))
80.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify61.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	453	2251
1	1592	1519
2	5002	1387

prune260.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z)))
0.1b	(fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `distribute-rgt-neg-out` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `unsub-neg` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

5.0ms	(+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z)))
1.0ms	(fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)

series92.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z)))
54.0ms	(fma (- y x) (+ (* 6.0 (/ 2.0 3.0)) (* 6.0 (- z))) x)

simplify88.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	170	239
1	670	201
2	3293	193
3	5001	192

prune85.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)) x)
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

198×	`add-sqr-sqrt`
195×	`prod-diff`
190×	`*-un-lft-identity`
184×	`add-cube-cbrt`
146×	`times-frac`
82×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
16×	`div-inv`
13×	`fma-neg`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `fma-def` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 302

Calls

4 calls:

9.0ms	(- (/ 2.0 3.0) z)
21.0ms	(+ (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)) x)
6.0ms	(* (- y x) 6.0)
18.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series148.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
61.0ms	(+ (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)) x)
28.0ms	(* (- y x) 6.0)
42.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify106.0ms

Algorithm

egg-herbie

Counts

314 → 314

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	880	3563
1	4097	2524
2	5001	2524

prune673.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 4.0 y (- (fma 6.0 (* z y) (* 3.0 x))))
0.1b	(fma 6.0 (* z y) (* 3.0 x))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

1.0ms	(fma 4.0 y (- (fma 6.0 (* z y) (* 3.0 x))))
1.0ms	(fma 6.0 (* z y) (* 3.0 x))

series87.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(fma 4.0 y (- (fma 6.0 (* z y) (* 3.0 x))))
43.0ms	(fma 6.0 (* z y) (* 3.0 x))

simplify74.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	48	147
1	125	129
2	463	129
3	2316	129
4	5001	129

prune61.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes144.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	22	7
2	23	7
3	23	7

end0.0ms

sample577.0ms

Algorithm

intervals

Results

284.0ms	9309×	body	80	valid
27.0ms	261×	body	640	valid
22.0ms	161×	body	1280	valid
16.0ms	205×	body	320	valid
7.0ms	125×	body	160	valid