Details

sample15.0ms

Algorithm

intervals

Results

6.0ms	320×	body	80	valid
1.0ms	16×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	160	valid

simplify13.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

8.0ms	(* 3.0 (- 2.0 (* x 3.0)))
12.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series148.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* 3.0 (- 2.0 (* x 3.0)))
88.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	198	263
1	980	222
2	5002	219

prune83.0ms

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)))

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)))

series112.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- 6.0 (* 9.0 x))
72.0ms	(* x (- 6.0 (* 9.0 x)))

simplify101.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

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

prune72.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

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

series157.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(* (- 2.0 (* x 3.0)) x)
86.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify32.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	183	252
1	779	211
2	5002	205

prune80.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
10×	`associate-l`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r/` `associate-l/`
5×	`associate-r`
3×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp`
1×	`unswap-sqr`

Counts

3 → 73

Calls

3 calls:

11.0ms	(* (- 2.0 (* x 3.0)) x)
40.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
13.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series391.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* (- 2.0 (* x 3.0)) x)
182.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
141.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify52.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	304	682
1	1319	511
2	5001	461

prune119.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes26.0ms

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

sample355.0ms

Algorithm

intervals

Results

182.0ms	9855×	body	80	valid
31.0ms	353×	body	1280	valid
22.0ms	303×	body	640	valid
8.0ms	159×	body	320	valid
2.0ms	65×	body	160	valid