Details

sample36.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ z 6.012459259764103) z 3.350343815022304)
0.0b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
3.0b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
13.7b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite5.0ms

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)
2.0ms	(/ 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)

series273.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
29.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
70.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
149.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify121.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (113.0ms)

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

prune282.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z 6.012459259764103 (fma z z 3.350343815022304))
0.0b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
3.0b	(/ y (fma z 6.012459259764103 (fma z z 3.350343815022304)))
13.7b	(fma (/ y (fma z 6.012459259764103 (fma z z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite5.0ms

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)
2.0ms	(/ 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)

series290.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(fma z 6.012459259764103 (fma z z 3.350343815022304))
29.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
78.0ms	(/ y (fma z 6.012459259764103 (fma z z 3.350343815022304)))
155.0ms	(fma (/ y (fma z 6.012459259764103 (fma z z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify124.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (116.0ms)

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

prune277.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.4b	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
2.9b	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
13.7b	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite17.0ms

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)
5.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
2.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
0.0ms	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series220.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
47.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
47.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
94.0ms	(fma (/ 1 (/ (fma (+ z 6.012459259764103) 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 (51.0ms)

Iter	Nodes	Cost
0	475	1087
1	1998	960
2	5002	880

prune407.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.2b	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
3.3b	(* (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) y)
13.7b	(fma (* (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) y) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
13×	`associate-l`
11×	`add-cbrt-cube`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `fma-udef` `div-inv`
1×	`pow-flip` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `inv-pow`

Counts

4 → 90

Calls

4 calls:

0.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
2.0ms	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
9.0ms	(* (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) y)
0.0ms	(fma (* (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) y) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series219.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
45.0ms	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
47.0ms	(* (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) y)
98.0ms	(fma (* (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) y) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	359	624
1	1394	539
2	5002	505

prune326.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes215.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.7b

bsearch192.0ms

Steps

Iters	Range		Point
8	14520.350903362307	4204029.862756928	4165457.6089172964
10	-5.141382396726932e+36	-9.942172336951923e+23	-2.4021117721800254e+24

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	12
1	33	12

end0.0ms

sample931.0ms

Algorithm

intervals

Results

741.0ms

8000×

body

valid