Details

sample32.0ms

Algorithm

intervals

Results

17.0ms

266×

body

valid

simplify3.5s

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.8b	(fma z (- t a) (* x y))
23.0b	(/ (fma z (- t a) (* x y)) (fma (- b y) z y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

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

series463.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(fma z (- t a) (* x y))
397.0ms	(/ (fma z (- t a) (* x y)) (fma (- b y) z y))

simplify2.8s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
4	4973
3	974
2	278
1	120
0	71

prune332.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 18.3b

localize27.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 1 (/ (fma (- b y) z y) (fma z (- t a) (* x y))))
0.8b	(fma z (- t a) (* x y))
23.0b	(/ (fma (- b y) z y) (fma z (- t a) (* x y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 120

Calls

3 calls:

10.0ms	(/ 1 (/ (fma (- b y) z y) (fma z (- t a) (* x y))))
0.0ms	(fma z (- t a) (* x y))
5.0ms	(/ (fma (- b y) z y) (fma z (- t a) (* x y)))

series1.7s

Counts

3 → 9

Calls

3 calls:

1.4s	(/ 1 (/ (fma (- b y) z y) (fma z (- t a) (* x y))))
67.0ms	(fma z (- t a) (* x y))
168.0ms	(/ (fma (- b y) z y) (fma z (- t a) (* x y)))

simplify2.0s

Counts

129 → 129

Iterations

Iter	Nodes
done	5001
3	2909
2	875
1	381
0	173

prune736.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 11.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.3b	(fma x y (* z (- t a)))
0.7b	(/ 1 (fma z (- b y) y))
22.5b	(* (/ 1 (fma z (- b y) y)) (fma x y (* z (- t a))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
34×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
18×	`prod-diff`
16×	`associate-l`
13×	`add-cbrt-cube`
12×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`associate-r`
5×	`prod-exp`
4×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `cbrt-unprod` `fma-udef` `associate-/l`
2×	`cbrt-undiv` `rec-exp` `sub-neg` `1-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `flip3--` `associate-*l/` `pow-flip` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 132

Calls

4 calls:

22.0ms	(* z (- t a))
0.0ms	(fma x y (* z (- t a)))
5.0ms	(/ 1 (fma z (- b y) y))
28.0ms	(* (/ 1 (fma z (- b y) y)) (fma x y (* z (- t a))))

series768.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* z (- t a))
66.0ms	(fma x y (* z (- t a)))
68.0ms	(/ 1 (fma z (- b y) y))
589.0ms	(* (/ 1 (fma z (- b y) y)) (fma x y (* z (- t a))))

simplify2.9s

Counts

144 → 144

Iterations

Iter	Nodes
done	5002
3	3150
2	1032
1	468
0	211

prune750.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 11.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* (fma (- b y) z y) (/ 1 (fma z (- t a) (* x y)))))
0.8b	(fma z (- t a) (* x y))
0.8b	(/ 1 (fma z (- t a) (* x y)))
22.2b	(* (fma (- b y) z y) (/ 1 (fma z (- t a) (* x y))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
29×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
20×	`add-cbrt-cube` `div-exp`
16×	`prod-exp`
13×	`associate-r`
10×	`pow1` `rec-exp` `1-exp`
6×	`cbrt-undiv` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r*` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `div-inv` `pow-flip` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*r/` `associate-/r/` `un-div-inv` `inv-pow`
1×	`*-commutative` `fma-udef`

Counts

4 → 127

Calls

4 calls:

31.0ms	(/ 1 (* (fma (- b y) z y) (/ 1 (fma z (- t a) (* x y)))))
0.0ms	(fma z (- t a) (* x y))
9.0ms	(/ 1 (fma z (- t a) (* x y)))
24.0ms	(* (fma (- b y) z y) (/ 1 (fma z (- t a) (* x y))))

series1.7s

Counts

4 → 12

Calls

4 calls:

1.4s	(/ 1 (* (fma (- b y) z y) (/ 1 (fma z (- t a) (* x y)))))
71.0ms	(fma z (- t a) (* x y))
73.0ms	(/ 1 (fma z (- t a) (* x y)))
229.0ms	(* (fma (- b y) z y) (/ 1 (fma z (- t a) (* x y))))

simplify2.3s

Counts

139 → 139

Iterations

Iter	Nodes
done	5006
3	2307
2	753
1	332
0	151

prune658.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 11.1b

regimes918.0ms

Accuracy

30.8% (8.1b remaining)

Error of 19.0b against oracle of 10.9b and baseline of 22.6b

bsearch80.0ms

Steps

Iters	Range		Point
4	8.033207595066825e+123	1.1275513457902998e+124	1.0112549105590363e+124
8	-3.79888392172931e+195	-2.0131075904441452e+192	-5.613549175387801e+193

simplify3.0ms

Iterations

Iter	Nodes
done	25
1	25
0	21

end0.0ms

sample1.1s

Algorithm

intervals

Results

819.0ms

8442×

body

valid