Details

sample16.0ms

Algorithm

intervals

Results

7.0ms	328×	body	80	valid
1.0ms	13×	body	1280	valid
1.0ms	8×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	160	valid

simplify13.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

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)

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

series169.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- 2.0 (* x 3.0))
52.0ms	(* 3.0 (- 2.0 (* x 3.0)))
81.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (32.0ms)

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

prune109.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

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)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- 6.0 (* 9.0 x))
67.0ms	(* x (- 6.0 (* 9.0 x)))

simplify93.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

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

prune71.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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))

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-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:

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

series184.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- 2.0 (* x 3.0))
66.0ms	(* (- 2.0 (* x 3.0)) x)
80.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify34.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (29.0ms)

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

prune100.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite31.0ms

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:

3.0ms	(- 2.0 (* x 3.0))
5.0ms	(* (- 2.0 (* x 3.0)) x)
13.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
7.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series420.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- 2.0 (* x 3.0))
69.0ms	(* (- 2.0 (* x 3.0)) x)
176.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
142.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify51.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (43.0ms)

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

prune152.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes25.0ms

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

sample383.0ms

Algorithm

intervals

Results

209.0ms	9805×	body	80	valid
30.0ms	334×	body	1280	valid
19.0ms	266×	body	640	valid
7.0ms	126×	body	320	valid
2.0ms	58×	body	160	valid