Details

sample15.0ms

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

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 0.2b

localize7.0ms

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)))

rewrite25.0ms

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:

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

series175.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- 2.0 (* x 3.0))
84.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
57.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	253	437
1	1184	374
2	5001	369

prune140.0ms

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×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

8.0ms

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

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

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

simplify71.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	117	122
1	473	108
2	2840	104
3	5002	104

prune49.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

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))

rewrite22.0ms

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:

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

series195.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- 2.0 (* x 3.0))
70.0ms	(* (- 2.0 (* x 3.0)) x)
84.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify36.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (30.0ms)

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

prune121.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.4b	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
0.4b	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

2.0ms	(- 2.0 (* x 3.0))
7.0ms	(* (- 2.0 (* x 3.0)) x)
16.0ms	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
33.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- 2.0 (* x 3.0))
72.0ms	(* (- 2.0 (* x 3.0)) x)
143.0ms	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
185.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	328	668
1	1388	541
2	5001	531

prune173.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 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

sample368.0ms

Algorithm

intervals

Results

193.0ms	9839×	body	80	valid
30.0ms	353×	body	1280	valid
21.0ms	270×	body	640	valid
8.0ms	146×	body	320	valid
2.0ms	67×	body	160	valid