Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	38	7
1	72	7
2	167	6
3	354	6
4	646	6
5	921	6
6	1060	6
7	1331	6
8	1792	6
9	1860	6
10	1861	6
11	1861	6

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ z 6.012459259764103) z 3.350343815022304)
0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
5.7b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
15.5b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `fma-udef` `associate-/l`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 59

Calls

4 calls:

0.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
0.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
5.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series229.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
25.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
58.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
125.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify107.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	245	408
1	760	361
2	3482	358
3	5001	356

prune260.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z 6.012459259764103 (fma z z 3.350343815022304))
0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
5.7b	(/ y (fma z 6.012459259764103 (fma z z 3.350343815022304)))
15.5b	(fma (/ y (fma z 6.012459259764103 (fma z z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `fma-udef` `associate-/l`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 59

Calls

4 calls:

0.0ms	(fma z 6.012459259764103 (fma z z 3.350343815022304))
0.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
5.0ms	(/ y (fma z 6.012459259764103 (fma z z 3.350343815022304)))
0.0ms	(fma (/ y (fma z 6.012459259764103 (fma z z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series240.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(fma z 6.012459259764103 (fma z z 3.350343815022304))
25.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
62.0ms	(/ y (fma z 6.012459259764103 (fma z z 3.350343815022304)))
130.0ms	(fma (/ y (fma z 6.012459259764103 (fma z z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify110.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	243	404
1	794	360
2	3558	357
3	5002	355

prune247.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.4b	(/ 1 (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y))
5.7b	(/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)
15.5b	(fma (/ 1 (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `fma-udef`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

4 → 127

Calls

4 calls:

0.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
10.0ms	(/ 1 (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y))
5.0ms	(/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)
0.0ms	(fma (/ 1 (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series201.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
42.0ms	(/ 1 (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y))
47.0ms	(/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)
87.0ms	(fma (/ 1 (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify65.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	475	1087
1	2001	960
2	5002	880

prune377.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)) x)
0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
5.7b	(/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)
18.2b	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
91×	`*-un-lft-identity`
89×	`add-sqr-sqrt` `add-cube-cbrt`
44×	`fma-def`
16×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

4 → 169

Calls

4 calls:

40.0ms	(+ (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)) x)
0.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
8.0ms	(/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)
9.0ms	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y))

series238.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)) x)
24.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
47.0ms	(/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)
75.0ms	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	511	1353
1	1896	1274
2	5001	1271

prune667.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes196.0ms

Accuracy

97.5% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 17.3b

bsearch110.0ms

Steps

Iters	Range		Point
9	8.901813113166364e-20	9.557195848858434e-13	9.349284559663864e-13
5	-2359205746464.0527	-1146855530477.335	-1766059654986.307

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	17
1	37	17

end0.0ms

sample543.0ms

Algorithm

intervals

Results

319.0ms

8000×

body

valid