Details

sample21.0ms

Algorithm

intervals

Results

9.0ms	311×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	4×	body	160	valid

simplify113.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

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:

10.0ms	(- (/ 2.0 3.0) z)
6.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
10.0ms	(* (- y x) 6.0)
38.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series153.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
62.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
28.0ms	(* (- y x) 6.0)
45.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify56.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (11.0ms)

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

prune214.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

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:

10.0ms	(- (/ 2.0 3.0) z)
28.0ms	(* 6.0 (- (/ 2.0 3.0) z))
7.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
38.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
37.0ms	(* 6.0 (- (/ 2.0 3.0) z))
63.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
44.0ms	(* (- 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

prune214.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

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:

10.0ms	(* (- y x) 6.0)
10.0ms	(* (- y x) 6.0)
15.0ms	(* (- z) (* (- y x) 6.0))
18.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series135.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- y x) 6.0)
32.0ms	(* (- y x) 6.0)
44.0ms	(* (- z) (* (- y x) 6.0))
32.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (11.0ms)

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

prune264.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
0.6b	(cbrt (* (- y x) 6.0))
0.6b	(cbrt (* (- y x) 6.0))
0.6b	(cbrt (* (- y x) 6.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

11.0ms	(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
3.0ms	(cbrt (* (- y x) 6.0))
3.0ms	(cbrt (* (- y x) 6.0))
4.0ms	(cbrt (* (- y x) 6.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

431.0ms	(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
209.0ms	(cbrt (* (- y x) 6.0))
215.0ms	(cbrt (* (- y x) 6.0))
209.0ms	(cbrt (* (- y x) 6.0))

simplify36.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	281	658
1	992	607
2	5001	566

prune288.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

0% (0.1b 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

sample583.0ms

Algorithm

intervals

Results

295.0ms	9477×	body	80	valid
24.0ms	216×	body	640	valid
23.0ms	162×	body	1280	valid
17.0ms	200×	body	320	valid
6.0ms	112×	body	160	valid