Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	18	21
1	38	18
2	71	18
3	140	17
4	262	17
5	433	17
6	642	17
7	772	17
8	955	17
9	1088	17
10	1148	17
11	1149	17
done	1149	17

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

4.2b

(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))

15.9b

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

0.0ms

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

6.0ms

(/ 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

3 → 9

Calls

3 calls:

32.0ms

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

79.0ms

(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))

161.0ms

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

simplify851.0ms

Counts

58 → 58

Iterations

Useful iterations: done (848.0ms)

Iter	Nodes	Cost
0	122	869
1	233	849
2	561	759
3	1532	754
done	5001	747

prune258.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.5b	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
3.8b	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
15.9b	(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)
6.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
5.0ms	(/ (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)

series244.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
56.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
49.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
108.0ms	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify1.6s

Counts

139 → 139

Iterations

Useful iterations: 3 (709.0ms)

Iter	Nodes	Cost
0	227	2439
1	478	2211
2	997	1932
3	2574	1909
done	5000	1909

prune417.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) x)
0.1b	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
3.8b	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
19.3b	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))

rewrite53.0ms

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:

37.0ms	(+ (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) x)
0.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
2.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
5.0ms	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))

series277.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(+ (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) x)
29.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
52.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
95.0ms	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))

simplify1.0s

Counts

181 → 181

Iterations

Useful iterations: done (1000.0ms)

Iter	Nodes	Cost
0	229	3228
1	513	3102
2	1540	2917
done	5001	2915

prune730.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y) x)
0.1b	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
0.1b	(* (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y)
15.9b	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+` `fma-udef`

Counts

4 → 87

Calls

4 calls:

5.0ms	(+ (* (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y) x)
0.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
8.0ms	(* (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y)
2.0ms	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

series295.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(+ (* (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y) x)
28.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
84.0ms	(* (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y)
78.0ms	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

simplify1.9s

Counts

99 → 99

Iterations

Useful iterations: 3 (984.0ms)

Iter	Nodes	Cost
0	162	2012
1	377	1934
2	1080	1748
3	3762	1718
done	5000	1718

prune361.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes156.0ms

Accuracy

99% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 16.7b

bsearch139.0ms

Steps

Iters	Range		Point
6	0.0591185632533196	0.44834868164545755	0.4426814927734349
9	-131863331651.28616	-511708.7274343749	-224445954.31451926

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	28	63
1	35	55
done	35	55

end0.0ms

sample509.0ms

Algorithm

intervals

Results

328.0ms

8000×

body

valid