Details

sample55.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
20.0ms	266×	body	80	nan

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	21	7
1	41	6
2	69	6
3	95	6
4	125	6
5	140	6
6	142	6
7	142	6

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.1b	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
95×	`add-sqr-sqrt` `*-un-lft-identity`
67×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--` `fma-udef`

Counts

3 → 142

Calls

3 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
2.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
12.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series188.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
51.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
92.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	627	1691
1	2379	1609
2	5002	1609

prune404.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.1b	(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
0.2b	(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
104×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`associate-/r*`
18×	`add-exp-log` `add-cbrt-cube`
12×	`div-inv` `associate-/l*`
8×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`associate-/r/`

Counts

4 → 202

Calls

4 calls:

2.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
2.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
5.0ms	(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
5.0ms	(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series279.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
54.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
68.0ms	(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
105.0ms	(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify102.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	668	2123
1	2799	2002
2	5001	2002

prune692.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.1b	(/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))
0.2b	(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
0.2b	(/ (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

514×	`times-frac`
258×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`div-inv`
35×	`add-exp-log`
32×	`associate-/r*`
25×	`add-cbrt-cube`
22×	`associate-/l*`
21×	`div-exp`
13×	`cbrt-undiv`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `1-exp` `associate-/r/`
1×	`associate-/l/`

Counts

4 → 351

Calls

4 calls:

2.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
2.0ms	(/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))
5.0ms	(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
11.0ms	(/ (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))

series300.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
64.0ms	(/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))
110.0ms	(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
68.0ms	(/ (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))

simplify89.0ms

Algorithm

egg-herbie

Counts

363 → 363

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	1613	4654
1	5001	4267

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.1b	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
0.1b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

652×	`times-frac`
371×	`add-sqr-sqrt` `*-un-lft-identity`
279×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
36×	`div-inv`
27×	`add-exp-log`
24×	`associate-/l*`
17×	`div-exp` `add-cbrt-cube`
16×	`associate-/r*`
9×	`cbrt-undiv`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`flip3--` `associate-/r/` `flip--` `fma-udef`

Counts

3 → 356

Calls

3 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
18.0ms	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
12.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series216.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
87.0ms	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
85.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify94.0ms

Algorithm

egg-herbie

Counts

365 → 365

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	1624	5786
1	5001	5326

prune759.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	12
1	17	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

738.0ms	8000×	body	80	valid
625.0ms	8027×	body	80	nan