Details

sample25.0ms

Algorithm

intervals

Results

9.0ms	312×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	7×	body	640	valid
1.0ms	8×	body	320	valid
0.0ms	3×	body	160	valid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite367.0ms

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:

16.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
22.0ms	(* (- y x) 6.0)
18.0ms	(- (/ 2.0 3.0) z)
308.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series183.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
45.0ms	(* (- y x) 6.0)
18.0ms	(- (/ 2.0 3.0) z)
44.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify69.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (15.0ms)

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

prune219.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite164.0ms

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:

16.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
51.0ms	(* 6.0 (- (/ 2.0 3.0) z))
20.0ms	(- (/ 2.0 3.0) z)
73.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series167.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
40.0ms	(* 6.0 (- (/ 2.0 3.0) z))
22.0ms	(- (/ 2.0 3.0) z)
42.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (13.0ms)

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

prune225.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-l`
26×	`add-sqr-sqrt`
25×	`add-exp-log` `add-cbrt-cube`
22×	`*-un-lft-identity`
18×	`pow1` `add-cube-cbrt`
11×	`associate-*l/` `prod-exp` `cbrt-unprod`
9×	`times-frac`
8×	`associate-r` `pow-prod-down`
5×	`flip3--` `flip--`
4×	`associate-r/` `-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cbrt-undiv` `frac-times` `div-exp` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1` `div-inv`

Counts

4 → 109

Calls

4 calls:

22.0ms	(* (- y x) 6.0)
24.0ms	(* (- y x) 6.0)
36.0ms	(* (- z) (* (- y x) 6.0))
47.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series140.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- y x) 6.0)
28.0ms	(* (- y x) 6.0)
49.0ms	(* (- z) (* (- y x) 6.0))
31.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	447	579
1	2273	489
2	5002	489

prune278.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* 6.0 (* x z)) (* 4.0 y)) (* 3.0 x))
0.3b	(* 6.0 (* x z))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log`
1×	`sub-neg` `flip3--` `associate-r` `associate--l+` `sum-log` `*-commutative` `flip--`

Counts

2 → 32

Calls

2 calls:

102.0ms	(- (+ (* 6.0 (* x z)) (* 4.0 y)) (* 3.0 x))
17.0ms	(* 6.0 (* x z))

series61.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (+ (* 6.0 (* x z)) (* 4.0 y)) (* 3.0 x))
20.0ms	(* 6.0 (* x z))

simplify96.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	178	225
1	665	197
2	3041	190
3	5001	190

prune70.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample621.0ms

Algorithm

intervals

Results

266.0ms	9425×	body	80	valid
30.0ms	298×	body	640	valid
22.0ms	155×	body	1280	valid
16.0ms	177×	body	320	valid
6.0ms	111×	body	160	valid