Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	291×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	11×	body	640	valid
0.0ms	7×	body	320	valid
0.0ms	2×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	75	4
3	141	4
4	170	4
5	170	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)
0.1b	(* 3.0 (- 2.0 (* x 3.0)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sub-neg` `flip3--` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `-commutative`
1×	`diff-log` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

5.0ms	(- 2.0 (* x 3.0))
30.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
16.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- 2.0 (* x 3.0))
86.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
55.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	219	323
1	1062	277
2	5002	274

prune96.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 6.0 (* 9.0 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

16.0ms

(* x (- 6.0 (* 9.0 x)))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(* x (- 6.0 (* 9.0 x)))

simplify86.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	122	130
1	534	113
2	2894	113
3	5001	113

prune40.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.1b	(* 3.0 (* (- 2.0 (* x 3.0)) x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`flip3--` `flip--`
2×	`associate-r/` `-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

5.0ms	(- 2.0 (* x 3.0))
19.0ms	(* (- 2.0 (* x 3.0)) x)
27.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series192.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- 2.0 (* x 3.0))
71.0ms	(* (- 2.0 (* x 3.0)) x)
85.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify33.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	207	312
1	816	266
2	5001	260

prune95.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
0.4b	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
20×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-l`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r/` `associate-l/` `add-log-exp`
5×	`associate-r`
4×	`flip3--` `flip--`
3×	`cbrt-prod` `*-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

5.0ms	(- 2.0 (* x 3.0))
16.0ms	(* (- 2.0 (* x 3.0)) x)
89.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
31.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series426.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- 2.0 (* x 3.0))
73.0ms	(* (- 2.0 (* x 3.0)) x)
177.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
140.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify47.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	328	742
1	1360	566
2	5002	516

prune148.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample396.0ms

Algorithm

intervals

Results

185.0ms	9874×	body	80	valid
29.0ms	335×	body	1280	valid
17.0ms	266×	body	640	valid
8.0ms	156×	body	320	valid
2.0ms	62×	body	160	valid