Details

sample14.0ms

Algorithm

intervals

Results

6.0ms	301×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	9×	body	640	valid
0.0ms	8×	body	320	valid
0.0ms	1×	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)))

rewrite21.0ms

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

series178.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- 2.0 (* x 3.0))
83.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
56.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (34.0ms)

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

prune103.0ms

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

rewrite8.0ms

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×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

7.0ms

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

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

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

simplify67.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	113	114
1	465	100
2	2777	97
3	5002	97

prune36.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
6.0ms	(* (cbrt x) (cbrt x))

series731.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
176.0ms	(cbrt x)
181.0ms	(cbrt x)
195.0ms	(* (cbrt x) (cbrt x))

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	115	288
1	479	261
2	2963	238
3	5002	235

prune167.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) x)
0.1b	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
0.3b	(* (* x 3.0) (* x 3.0))
5.2b	(/ (* (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) x) (+ 2.0 (* x 3.0)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

15.0ms	(* (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) x)
13.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
10.0ms	(* (* x 3.0) (* x 3.0))
17.0ms	(/ (* (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) x) (+ 2.0 (* x 3.0)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) x)
83.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
23.0ms	(* (* x 3.0) (* x 3.0))
179.0ms	(/ (* (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) x) (+ 2.0 (* x 3.0)))

simplify79.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	454	922
1	2693	749
2	5002	749

prune159.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes22.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample365.0ms

Algorithm

intervals

Results

190.0ms	9839×	body	80	valid
29.0ms	353×	body	1280	valid
18.0ms	270×	body	640	valid
7.0ms	146×	body	320	valid
2.0ms	67×	body	160	valid