Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	318×	body	80	valid
1.0ms	14×	body	1280	valid
1.0ms	9×	body	640	valid
0.0ms	6×	body	320	valid

simplify23.0ms

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: 0.2b

localize5.0ms

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)))

rewrite17.0ms

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:

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

series191.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- 2.0 (* x 3.0))
91.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
63.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (40.0ms)

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

prune154.0ms

Pruning

12 alts after pruning (12 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	(* (- 6.0 (* 9.0 x)) x)

rewrite10.0ms

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:

3.0ms	(- 6.0 (* 9.0 x))
5.0ms	(* (- 6.0 (* 9.0 x)) x)

series118.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- 6.0 (* 9.0 x))
74.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify94.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (89.0ms)

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

prune98.0ms

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))

rewrite17.0ms

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:

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

series203.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- 2.0 (* x 3.0))
75.0ms	(* (- 2.0 (* x 3.0)) x)
91.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (36.0ms)

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

prune144.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

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))
0.5b	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

rewrite31.0ms

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:

3.0ms	(- 2.0 (* x 3.0))
5.0ms	(* (- 2.0 (* x 3.0)) x)
8.0ms	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
11.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

series469.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- 2.0 (* x 3.0))
78.0ms	(* (- 2.0 (* x 3.0)) x)
153.0ms	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
202.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

simplify56.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (48.0ms)

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

prune189.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes30.0ms

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

sample358.0ms

Algorithm

intervals

Results

192.0ms	9895×	body	80	valid
28.0ms	323×	body	1280	valid
21.0ms	289×	body	640	valid
6.0ms	116×	body	320	valid
3.0ms	73×	body	160	valid