Details

sample41.0ms

Algorithm

intervals

Results

21.0ms

266×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	4203
10	1582
9	731
8	425
7	258
6	185
5	149
4	115
3	75
2	43
1	24
0	14

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- b y) z y)
0.5b	(fma z (- t a) (* x y))
19.9b	(/ (fma z (- t a) (* x y)) (fma (- b y) z y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

0.0ms	(fma (- b y) z y)
0.0ms	(fma z (- t a) (* x y))
9.0ms	(/ (fma z (- t a) (* x y)) (fma (- b y) z y))

series451.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(fma (- b y) z y)
56.0ms	(fma z (- t a) (* x y))
355.0ms	(/ (fma z (- t a) (* x y)) (fma (- b y) z y))

simplify1.1s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
3	1097
2	311
1	137
0	80

prune385.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 17.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- b y) z y)
0.5b	(fma z (- t a) (* x y))
0.5b	(/ 1 (fma (- b y) z y))
19.6b	(* (fma z (- t a) (* x y)) (/ 1 (fma (- b y) z y)))

rewrite22.0ms

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-r`
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-l` `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-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 95

Calls

4 calls:

0.0ms	(fma (- b y) z y)
0.0ms	(fma z (- t a) (* x y))
5.0ms	(/ 1 (fma (- b y) z y))
14.0ms	(* (fma z (- t a) (* x y)) (/ 1 (fma (- b y) z y)))

series571.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(fma (- b y) z y)
67.0ms	(fma z (- t a) (* x y))
123.0ms	(/ 1 (fma (- b y) z y))
338.0ms	(* (fma z (- t a) (* x y)) (/ 1 (fma (- b y) z y)))

simplify2.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	5010
3	2193
2	617
1	242
0	118

prune627.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 17.8b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- b y) z y)
0.5b	(/ 1 (/ (fma (- b y) z y) (fma z (- t a) (* x y))))
0.5b	(fma z (- t a) (* x y))
19.7b	(/ (fma (- b y) z y) (fma z (- t a) (* x y)))

rewrite27.0ms

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 (- b y) z y)
14.0ms	(/ 1 (/ (fma (- b y) z y) (fma z (- t a) (* x y))))
0.0ms	(fma z (- t a) (* x y))
7.0ms	(/ (fma (- b y) z y) (fma z (- t a) (* x y)))

series1.7s

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma (- b y) z y)
1.5s	(/ 1 (/ (fma (- b y) z y) (fma z (- t a) (* x y))))
64.0ms	(fma z (- t a) (* x y))
178.0ms	(/ (fma (- b y) z y) (fma z (- t a) (* x y)))

simplify2.0s

Counts

143 → 143

Iterations

Iter	Nodes
done	5000
3	2966
2	950
1	398
0	182

prune1.2s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 8.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (fma z (- t a) (* x y)))
0.5b	(fma z (- t a) (* x y))
0.5b	(/ 1 (fma (- b y) z y))
19.5b	(/ (/ 1 (fma (- b y) z y)) (/ 1 (fma z (- t a) (* x y))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

439×	`times-frac`
216×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
52×	`add-exp-log`
36×	`div-exp`
31×	`div-inv`
20×	`add-cbrt-cube`
19×	`associate-/r` `associate-/l`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow-flip` `inv-pow`
1×	`associate-/r/` `fma-udef` `associate-/l/`

Counts

4 → 309

Calls

4 calls:

12.0ms	(/ 1 (fma z (- t a) (* x y)))
0.0ms	(fma z (- t a) (* x y))
7.0ms	(/ 1 (fma (- b y) z y))
24.0ms	(/ (/ 1 (fma (- b y) z y)) (/ 1 (fma z (- t a) (* x y))))

series1.7s

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ 1 (fma z (- t a) (* x y)))
51.0ms	(fma z (- t a) (* x y))
123.0ms	(/ 1 (fma (- b y) z y))
1.4s	(/ (/ 1 (fma (- b y) z y)) (/ 1 (fma z (- t a) (* x y))))

simplify1.9s

Counts

321 → 321

Iterations

Iter	Nodes
done	5002
2	2248
1	1184
0	418

prune1.4s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 8.2b

regimes939.0ms

Accuracy

31.3% (7.8b remaining)

Error of 18.4b against oracle of 10.6b and baseline of 21.9b

bsearch122.0ms

Steps

Iters	Range		Point
8	8.593314144825802e+118	8.777301834317267e+121	8.615954677581334e+121
8	-2.045597282003089e+68	-4.910149353574579e+65	-2.7361233842143253e+67

simplify4.0ms

Iterations

Iter	Nodes
done	25
1	25
0	21

end0.0ms

sample1.0s

Algorithm

intervals

Results

734.0ms

8434×

body

valid