Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	8
1	50	8
2	69	8
3	75	8
4	75	8

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
15.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
46×	`times-frac`
45×	`prod-diff`
15×	`fma-neg`
10×	`associate-/r/`
8×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
6×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`associate-*r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

12.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
3.0ms	(+ 2.30753 (* x 0.27061))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series244.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
38.0ms	(+ 2.30753 (* x 0.27061))
66.0ms	(* x (+ 0.99229 (* x 0.04481)))
55.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify86.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	607	2052
1	2430	1584
2	5002	1517

prune288.0ms

Filtered

162 candidates to 111 candidates (68.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	161	1	162
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	161	2	163

Merged error: 0b

Counts

163 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 2.30753 (* x 0.27061)))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
3.7b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (+ 2.30753 (* x 0.27061))))
3.8b	(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (+ 2.30753 (* x 0.27061)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
162×	`add-sqr-sqrt`
161×	`add-cube-cbrt` `*-un-lft-identity`
153×	`sqrt-prod`
30×	`associate-/r*`
20×	`sqrt-div`
17×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
10×	`flip3-+` `flip-+`
9×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 263

Calls

4 calls:

3.0ms	(sqrt (+ 2.30753 (* x 0.27061)))
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (+ 2.30753 (* x 0.27061))))
16.0ms	(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (+ 2.30753 (* x 0.27061)))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sqrt (+ 2.30753 (* x 0.27061)))
30.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
123.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (+ 2.30753 (* x 0.27061))))
65.0ms	(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (+ 2.30753 (* x 0.27061)))))

simplify132.0ms

Algorithm

egg-herbie

Counts

275 → 275

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	845	4694
1	3882	4286
2	5001	4239

prune511.0ms

Filtered

275 candidates to 153 candidates (55.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	275	0	275
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	275	2	277

Merged error: 0b

Counts

277 → 2

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample324.0ms

Algorithm

intervals

Results

239.0ms

8000×

body

valid