Details

sample23.0ms

Algorithm

intervals

Results

8.0ms	307×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	6×	body	160	valid
0.0ms	4×	body	320	valid

simplify71.0ms

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.1b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.5b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

199×	`add-sqr-sqrt`
195×	`prod-diff`
191×	`*-un-lft-identity`
185×	`add-cube-cbrt`
146×	`times-frac`
82×	`distribute-rgt-in` `associate-+r+` `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×	`fma-def` `distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 304

Calls

4 calls:

22.0ms	(- (/ 2.0 3.0) z)
24.0ms	(* (- y x) 6.0)
25.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
78.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series163.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
29.0ms	(* (- y x) 6.0)
65.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
49.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify109.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	1016	3937
1	4362	2939
2	5001	2939

prune665.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.3b	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
0.3b	(* (/ 2.0 3.0) (- y x))
0.5b	(* (- z) (* (- y x) 6.0))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
28×	`associate-l`
18×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
9×	`associate-r`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down` `associate-*l/`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `*-commutative` `unswap-sqr`
2×	`frac-times` `sub-neg` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `distribute-lft-neg-out` `neg-mul-1` `div-exp` `fma-udef` `div-inv`

Counts

4 → 126

Calls

4 calls:

23.0ms	(* (- y x) 6.0)
0.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
31.0ms	(* (/ 2.0 3.0) (- y x))
37.0ms	(* (- z) (* (- y x) 6.0))

series159.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (- y x) 6.0)
46.0ms	(fma (* (/ 2.0 3.0) (- y x)) 6.0 x)
33.0ms	(* (/ 2.0 3.0) (- y x))
47.0ms	(* (- z) (* (- y x) 6.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	592	853
1	2730	663
2	5003	650

prune328.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 4.0 y) (* 3.0 x))
0.0b	(+ (- (* 4.0 y) (* 3.0 x)) (* (- z) (* (- y x) 6.0)))
0.0b	(* (- y x) 6.0)
0.5b	(* (- z) (* (- y x) 6.0))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-l`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`add-cube-cbrt`
8×	`associate-*l/`
7×	`flip3--` `flip--`
6×	`associate-*r/`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `frac-add` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `associate-+l+` `fma-def` `distribute-rgt-neg-in`
2×	`sub-neg` `diff-log` `prod-diff` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `neg-mul-1` `flip3-+` `fma-neg` `unsub-neg` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

9.0ms	(- (* 4.0 y) (* 3.0 x))
41.0ms	(+ (- (* 4.0 y) (* 3.0 x)) (* (- z) (* (- y x) 6.0)))
25.0ms	(* (- y x) 6.0)
36.0ms	(* (- z) (* (- y x) 6.0))

series183.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* 4.0 y) (* 3.0 x))
67.0ms	(+ (- (* 4.0 y) (* 3.0 x)) (* (- z) (* (- y x) 6.0)))
29.0ms	(* (- y x) 6.0)
51.0ms	(* (- z) (* (- y x) 6.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	511	699
1	2356	633
2	5002	626

prune282.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 4.0 y) (fma x 3.0 (* z (* (- y x) 6.0))))
0.0b	(* (- y x) 6.0)
0.1b	(fma x 3.0 (* z (* (- y x) 6.0)))
0.5b	(* z (* (- y x) 6.0))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`*-un-lft-identity`
8×	`add-cube-cbrt` `associate-l`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`flip3--` `prod-diff` `flip--`
2×	`associate-r/` `-commutative` `fma-udef`
1×	`sub-neg` `fma-neg` `diff-log` `associate--r+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

9.0ms	(- (* 4.0 y) (fma x 3.0 (* z (* (- y x) 6.0))))
23.0ms	(* (- y x) 6.0)
0.0ms	(fma x 3.0 (* z (* (- y x) 6.0)))
30.0ms	(* z (* (- y x) 6.0))

series191.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* 4.0 y) (fma x 3.0 (* z (* (- y x) 6.0))))
29.0ms	(* (- y x) 6.0)
50.0ms	(fma x 3.0 (* z (* (- y x) 6.0)))
48.0ms	(* z (* (- y x) 6.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	321	540
1	1258	433
2	5001	433

prune279.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes152.0ms

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	15	6
1	15	6

end0.0ms

sample627.0ms

Algorithm

intervals

Results

264.0ms	9368×	body	80	valid
27.0ms	262×	body	640	valid
20.0ms	161×	body	1280	valid
15.0ms	203×	body	320	valid
5.0ms	102×	body	160	valid