Details

sample46.0ms

Algorithm

intervals

Results

24.0ms

256×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2529
11	2529
10	2182
9	1689
8	1203
7	1037
6	864
5	633
4	359
3	162
2	70
1	38
0	18

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ z 6.012459259764103) z 3.350343815022304)
0.1b	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
3.5b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
18.6b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `fma-udef` `associate-/l`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 63

Calls

4 calls:

0.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
1.0ms	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
10.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

series350.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
39.0ms	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
86.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
198.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify2.0s

Counts

75 → 75

Iterations

Iter	Nodes
done	5003
3	2593
2	743
1	270
0	137

prune466.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
0.6b	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
3.1b	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
18.6b	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `fma-udef`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 131

Calls

4 calls:

0.0ms	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
10.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
5.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
1.0ms	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

series334.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
64.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
74.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
148.0ms	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify2.2s

Counts

143 → 143

Iterations

Iter	Nodes
done	5001
3	3517
2	1160
1	520
0	233

prune897.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
0.3b	(/ 1 (fma z (+ z 6.012459259764103) 3.350343815022304))
3.3b	(* (/ 1 (fma z (+ z 6.012459259764103) 3.350343815022304)) y)
18.6b	(fma (* (/ 1 (fma z (+ z 6.012459259764103) 3.350343815022304)) y) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
17×	`add-exp-log`
13×	`associate-l`
11×	`add-cbrt-cube`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `insert-posit16` `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×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 94

Calls

4 calls:

1.0ms	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
10.0ms	(/ 1 (fma z (+ z 6.012459259764103) 3.350343815022304))
39.0ms	(* (/ 1 (fma z (+ z 6.012459259764103) 3.350343815022304)) y)
1.0ms	(fma (* (/ 1 (fma z (+ z 6.012459259764103) 3.350343815022304)) y) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

series696.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
59.0ms	(/ 1 (fma z (+ z 6.012459259764103) 3.350343815022304))
72.0ms	(* (/ 1 (fma z (+ z 6.012459259764103) 3.350343815022304)) y)
533.0ms	(fma (* (/ 1 (fma z (+ z 6.012459259764103) 3.350343815022304)) y) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify2.0s

Counts

106 → 106

Iterations

Iter	Nodes
done	5051
3	3127
2	1029
1	386
0	177

prune611.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.3b	(fma 0.07512208616047561 (/ y z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

(fma 0.07512208616047561 (/ y z) x)

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(fma 0.07512208616047561 (/ y z) x)

simplify2.7s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
5	2738
4	610
3	151
2	50
1	23
0	18

prune67.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes251.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.5b

bsearch224.0ms

Steps

Iters	Range		Point
10	73049.03827748532	1894903939847283.5	95815542.39360864
6	-4607476146472.435	-343836526097.91516	-676045330612.146

simplify9.0ms

Iterations

Iter	Nodes
done	31
1	31
0	25

end0.0ms

sample993.0ms

Algorithm

intervals

Results

809.0ms

8000×

body

valid