Details

sample14.0ms

Algorithm

intervals

Results

6.0ms	327×	body	80	valid
1.0ms	11×	body	1280	valid
1.0ms	9×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	1×	body	160	valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

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

rewrite15.0ms

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:

3.0ms	(- 2.0 (* x 3.0))
6.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
5.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- 2.0 (* x 3.0))
86.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
59.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (41.0ms)

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

prune110.0ms

Pruning

10 alts after pruning (10 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)))

rewrite9.0ms

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:

3.0ms	(- 6.0 (* 9.0 x))
5.0ms	(* x (- 6.0 (* 9.0 x)))

series112.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- 6.0 (* 9.0 x))
71.0ms	(* x (- 6.0 (* 9.0 x)))

simplify108.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (8.0ms)

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

prune71.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 3.0 (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0)))) x)
0.1b	(* 3.0 (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0))))
0.2b	(/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0)))
0.3b	(* (* x 3.0) (* x 3.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
32×	`add-exp-log` `add-cbrt-cube`
28×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-cube-cbrt` `*-un-lft-identity`
22×	`associate-r`
21×	`pow-prod-down`
15×	`prod-exp` `cbrt-unprod`
7×	`difference-of-squares`
5×	`associate-l`
4×	`associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r` `-commutative`
2×	`flip3-+` `pow-plus` `associate-*r/` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`pow2` `flip3--` `frac-2neg` `div-sub` `swap-sqr` `associate-*l/` `clear-num` `flip--`

Counts

4 → 128

Calls

4 calls:

14.0ms	(* (* 3.0 (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0)))) x)
10.0ms	(* 3.0 (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0))))
7.0ms	(/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0)))
7.0ms	(* (* x 3.0) (* x 3.0))

series468.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (* 3.0 (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0)))) x)
139.0ms	(* 3.0 (/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0))))
117.0ms	(/ (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))) (+ 2.0 (* x 3.0)))
25.0ms	(* (* x 3.0) (* x 3.0))

simplify109.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	495	1322
1	2918	1118
2	5001	1118

prune234.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(- (* 6.0 x) (* 9.0 (pow x 2)))
0.2b	(* 9.0 (pow x 2))

rewrite10.0ms

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×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 39

Calls

2 calls:

3.0ms	(- (* 6.0 x) (* 9.0 (pow x 2)))
6.0ms	(* 9.0 (pow x 2))

series103.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(- (* 6.0 x) (* 9.0 (pow x 2)))
26.0ms	(* 9.0 (pow x 2))

simplify163.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (159.0ms)

Iter	Nodes	Cost
0	174	200
1	676	179
2	3696	173
3	5002	170

prune79.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes20.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample343.0ms

Algorithm

intervals

Results

177.0ms	9849×	body	80	valid
25.0ms	319×	body	1280	valid
17.0ms	281×	body	640	valid
7.0ms	140×	body	320	valid
2.0ms	70×	body	160	valid