Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	332×	body	80	valid
1.0ms	10×	body	1280	valid
1.0ms	12×	body	640	valid
0.0ms	7×	body	320	valid
0.0ms	3×	body	160	valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	81	4
3	166	4
4	225	4
5	227	4
6	227	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

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)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`prod-diff`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `flip--` `log1p-expm1-u`
2×	`associate-l/` `-commutative`
1×	`diff-log` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

6.0ms	(- 2.0 (* x 3.0))
18.0ms	(* 3.0 (- 2.0 (* x 3.0)))
29.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series187.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- 2.0 (* x 3.0))
57.0ms	(* 3.0 (- 2.0 (* x 3.0)))
90.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	253	437
1	1184	374
2	5002	369

prune145.0ms

Pruning

8 alts after pruning (8 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	(* (- 6.0 (* 9.0 x)) x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `associate-r` `associate-l` `prod-diff`
2×	`expm1-log1p-u` `flip3--` `associate-*l/` `flip--` `log1p-expm1-u`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

6.0ms	(- 6.0 (* 9.0 x))
20.0ms	(* (- 6.0 (* 9.0 x)) x)

series110.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- 6.0 (* 9.0 x))
73.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify88.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	160	218
1	563	191
2	3219	187
3	5001	173

prune97.0ms

Pruning

9 alts after pruning (8 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))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `prod-diff` `flip--` `log1p-expm1-u`
2×	`associate-r/` `-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

8.0ms	(- 2.0 (* x 3.0))
18.0ms	(* (- 2.0 (* x 3.0)) x)
28.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series200.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- 2.0 (* x 3.0))
71.0ms	(* (- 2.0 (* x 3.0)) x)
88.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify39.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	234	366
1	880	311
2	5001	304

prune140.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

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)))
0.3b	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
20×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`associate-r/` `associate-l/` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`cbrt-prod` `fma-neg` `prod-diff` `*-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

6.0ms	(- 2.0 (* x 3.0))
19.0ms	(* (- 2.0 (* x 3.0)) x)
92.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
34.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series453.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- 2.0 (* x 3.0))
74.0ms	(* (- 2.0 (* x 3.0)) x)
189.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
150.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify56.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	358	818
1	1431	632
2	5001	574

prune204.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes21.0ms

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

sample397.0ms

Algorithm

intervals

Results

188.0ms	9948×	body	80	valid
28.0ms	341×	body	1280	valid
16.0ms	255×	body	640	valid
7.0ms	133×	body	320	valid
2.0ms	69×	body	160	valid