Details

sample20.0ms

Algorithm

intervals

Results

10.0ms	318×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	10×	body	640	valid
1.0ms	8×	body	320	valid
0.0ms	1×	body	160	valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

rewrite23.0ms

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))
11.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
8.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series169.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- 2.0 (* x 3.0))
81.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
55.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

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

prune134.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (+ (* 3.0 (- 2.0 (* x 3.0))) (* 3.0 (fma (- 3.0) x (* 3.0 x)))) x)
0.1b	(* 3.0 (- 2.0 (* x 3.0)))
40.8b	(fma (- 3.0) x (* 3.0 x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

2.0ms	(- 2.0 (* x 3.0))
17.0ms	(* (+ (* 3.0 (- 2.0 (* x 3.0))) (* 3.0 (fma (- 3.0) x (* 3.0 x)))) x)
8.0ms	(* 3.0 (- 2.0 (* x 3.0)))
0.0ms	(fma (- 3.0) x (* 3.0 x))

series305.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- 2.0 (* x 3.0))
164.0ms	(* (+ (* 3.0 (- 2.0 (* x 3.0))) (* 3.0 (fma (- 3.0) x (* 3.0 x)))) x)
55.0ms	(* 3.0 (- 2.0 (* x 3.0)))
49.0ms	(fma (- 3.0) x (* 3.0 x))

simplify53.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	301	618
1	1365	545
2	5002	536

prune217.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 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)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

2.0ms	(- 6.0 (* 9.0 x))
8.0ms	(* x (- 6.0 (* 9.0 x)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- 6.0 (* 9.0 x))
71.0ms	(* x (- 6.0 (* 9.0 x)))

simplify116.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	173	294
1	705	256
2	3896	252
3	5002	250

prune98.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 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))

rewrite25.0ms

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))
11.0ms	(* (- 2.0 (* x 3.0)) x)
10.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series191.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- 2.0 (* x 3.0))
71.0ms	(* (- 2.0 (* x 3.0)) x)
85.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (35.0ms)

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

prune115.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample523.0ms

Algorithm

intervals

Results

333.0ms	9925×	body	80	valid
36.0ms	347×	body	1280	valid
25.0ms	270×	body	640	valid
9.0ms	139×	body	320	valid
3.0ms	63×	body	160	valid