Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	307×	body	80	valid
1.0ms	9×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	6
1	48	6
2	160	6
3	421	6
4	984	6
5	1956	6
6	3390	6
7	5001	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.2b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
7×	`add-cube-cbrt`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--`
2×	`times-frac` `associate-r/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

7.0ms	(- (/ 2.0 3.0) z)
6.0ms	(* (- y x) 6.0)
5.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
14.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series157.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
32.0ms	(* (- y x) 6.0)
63.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
42.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify62.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	435	616
1	2060	564
2	5001	564

prune215.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
0.2b	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
10×	`associate-*r/`
8×	`associate-+r+` `flip3--` `associate-l` `flip--` `add-log-exp`
7×	`add-cube-cbrt` `associate-r`
5×	`difference-of-squares`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--`
2×	`times-frac` `associate-l/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

7.0ms	(- (/ 2.0 3.0) z)
9.0ms	(* 6.0 (- (/ 2.0 3.0) z))
13.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
5.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

series164.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
36.0ms	(* 6.0 (- (/ 2.0 3.0) z))
46.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
63.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

simplify53.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	437	708
1	1830	652
2	5001	652

prune238.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (* (- y x) 6.0) (- z)))
0.2b	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
0.4b	(* (/ 2.0 3.0) (* (- y x) 6.0))
0.5b	(* (* (- y x) 6.0) (- z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
17×	`associate-*l/`
14×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
11×	`associate-r` `add-log-exp`
9×	`times-frac` `prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`flip3--` `flip--`
4×	`flip3-+` `frac-add` `sum-log` `flip-+`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`cbrt-undiv` `+-commutative` `frac-times` `associate-r/` `div-exp` `-commutative`
1×	`neg-mul-1` `associate-+l+` `unsub-neg` `div-inv`

Counts

4 → 95

Calls

4 calls:

7.0ms	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (* (- y x) 6.0) (- z)))
3.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
9.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))
9.0ms	(* (* (- y x) 6.0) (- z))

series167.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (* (- y x) 6.0) (- z)))
37.0ms	(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
29.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))
36.0ms	(* (* (- y x) 6.0) (- z))

simplify85.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	644	890
1	3130	803
2	5002	800

prune258.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ (sqrt 2.0) 1) (* (/ (sqrt 2.0) 3.0) (* (- y x) 6.0)))
0.5b	(* (/ (sqrt 2.0) 3.0) (* (- y x) 6.0))
0.5b	(* (* (- y x) 6.0) (- z))
1.0b	(/ (sqrt 2.0) 3.0)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-exp-log`
64×	`add-cbrt-cube`
54×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
45×	`associate-l`
42×	`prod-exp`
31×	`cbrt-unprod`
30×	`sqrt-prod`
23×	`pow1`
20×	`associate-*l/`
19×	`div-exp`
12×	`cbrt-undiv` `associate-r` `pow-prod-down`
11×	`frac-times` `associate-*r/`
7×	`flip3--` `flip--`
6×	`associate-/l*`
5×	`1-exp`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/r` `-commutative` `div-inv`
1×	`neg-mul-1` `frac-2neg` `clear-num` `distribute-rgt-neg-out`

Counts

4 → 183

Calls

4 calls:

21.0ms	(* (/ (sqrt 2.0) 1) (* (/ (sqrt 2.0) 3.0) (* (- y x) 6.0)))
11.0ms	(* (/ (sqrt 2.0) 3.0) (* (- y x) 6.0))
8.0ms	(* (* (- y x) 6.0) (- z))
4.0ms	(/ (sqrt 2.0) 3.0)

series274.0ms

Counts

4 → 10

Calls

4 calls:

156.0ms	(* (/ (sqrt 2.0) 1) (* (/ (sqrt 2.0) 3.0) (* (- y x) 6.0)))
86.0ms	(* (/ (sqrt 2.0) 3.0) (* (- y x) 6.0))
32.0ms	(* (* (- y x) 6.0) (- z))
0.0ms	(/ (sqrt 2.0) 3.0)

simplify107.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	847	1443
1	4700	1159
2	5001	1108

prune452.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample566.0ms

Algorithm

intervals

Results

288.0ms	9416×	body	80	valid
27.0ms	255×	body	640	valid
18.0ms	138×	body	1280	valid
15.0ms	180×	body	320	valid
7.0ms	127×	body	160	valid