Details

sample15.0ms

Algorithm

intervals

Results

6.0ms	335×	body	80	valid
1.0ms	16×	body	640	valid
1.0ms	6×	body	1280	valid
0.0ms	6×	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: 0.3b

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

rewrite22.0ms

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:

2.0ms	(- 2.0 (* x 3.0))
7.0ms	(* 3.0 (- 2.0 (* x 3.0)))
11.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series173.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- 2.0 (* x 3.0))
54.0ms	(* 3.0 (- 2.0 (* x 3.0)))
82.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (33.0ms)

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

prune100.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* x (- 6.0 (* 9.0 x)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

2.0ms	(- 6.0 (* 9.0 x))
7.0ms	(* x (- 6.0 (* 9.0 x)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- 6.0 (* 9.0 x))
71.0ms	(* x (- 6.0 (* 9.0 x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	140	190
1	583	168
2	3082	168
3	5002	168

prune67.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 6.0) (* x (- (* 9.0 x))))
0.2b	(* x (- (* 9.0 x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `distribute-rgt-neg-out`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ (* x 6.0) (* x (- (* 9.0 x))))
4.0ms	(* x (- (* 9.0 x)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(+ (* x 6.0) (* x (- (* 9.0 x))))
24.0ms	(* x (- (* 9.0 x)))

simplify40.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	180	207
1	897	179
2	5001	176

prune72.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 6.0) (* -9.0 (pow x 2)))
0.3b	(* -9.0 (pow x 2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 38

Calls

2 calls:

2.0ms	(+ (* x 6.0) (* -9.0 (pow x 2)))
10.0ms	(* -9.0 (pow x 2))

series100.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(+ (* x 6.0) (* -9.0 (pow x 2)))
25.0ms	(* -9.0 (pow x 2))

simplify174.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (170.0ms)

Iter	Nodes	Cost
0	190	194
1	740	174
2	3885	167
3	5001	164

prune71.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	5
1	23	5
2	24	5
3	24	5

end0.0ms

sample370.0ms

Algorithm

intervals

Results

201.0ms	9961×	body	80	valid
27.0ms	315×	body	1280	valid
20.0ms	291×	body	640	valid
7.0ms	136×	body	320	valid
2.0ms	59×	body	160	valid