Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	30
5	30
4	29
3	26
2	22
1	15
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ y (fma x (/ y 2.0) 1.0)))
7.8b	(/ y (fma x (/ y 2.0) 1.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
45×	`add-cube-cbrt`
39×	`prod-diff`
37×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `div-inv` `add-log-exp`
3×	`associate-/r` `fma-neg` `associate-/l`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `flip--` `distribute-lft-out--`

Counts

2 → 88

Calls

2 calls:

32.0ms	(- x (/ y (fma x (/ y 2.0) 1.0)))
8.0ms	(/ y (fma x (/ y 2.0) 1.0))

series180.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(- x (/ y (fma x (/ y 2.0) 1.0)))
112.0ms	(/ y (fma x (/ y 2.0) 1.0))

simplify2.5s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	2280
1	502
0	202

prune322.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1 (/ (fma x (/ y 2.0) 1.0) y)))
0.1b	(/ 1 (/ (fma x (/ y 2.0) 1.0) y))
7.8b	(/ (fma x (/ y 2.0) 1.0) y)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
217×	`add-sqr-sqrt`
208×	`*-un-lft-identity`
203×	`add-cube-cbrt`
132×	`prod-diff`
19×	`div-inv`
16×	`associate-/r*` `add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`associate-/l*`
5×	`add-log-exp` `difference-of-squares`
4×	`pow1` `cbrt-undiv` `associate-/r/`
3×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `pow-flip` `flip--` `inv-pow`

Counts

3 → 263

Calls

3 calls:

25.0ms	(- x (/ 1 (/ (fma x (/ y 2.0) 1.0) y)))
15.0ms	(/ 1 (/ (fma x (/ y 2.0) 1.0) y))
8.0ms	(/ (fma x (/ y 2.0) 1.0) y)

series190.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- x (/ 1 (/ (fma x (/ y 2.0) 1.0) y)))
68.0ms	(/ 1 (/ (fma x (/ y 2.0) 1.0) y))
63.0ms	(/ (fma x (/ y 2.0) 1.0) y)

simplify684.0ms

Counts

272 → 272

Iterations

Iter	Nodes
done	5001
1	1374
0	516

prune713.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1 (fma 0.5 x (/ 1.0 y))))
0.0b	(fma 0.5 x (/ 1.0 y))
0.1b	(/ 1 (fma 0.5 x (/ 1.0 y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
46×	`add-cube-cbrt`
39×	`prod-diff`
38×	`times-frac`
7×	`add-exp-log`
5×	`add-cbrt-cube` `div-inv` `add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `fma-neg` `log1p-expm1-u` `associate-/l` `difference-of-squares`
2×	`div-exp` `distribute-lft-out--`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `1-exp` `fma-udef` `pow-flip` `flip--` `inv-pow`

Counts

3 → 104

Calls

3 calls:

20.0ms	(- x (/ 1 (fma 0.5 x (/ 1.0 y))))
0.0ms	(fma 0.5 x (/ 1.0 y))
8.0ms	(/ 1 (fma 0.5 x (/ 1.0 y)))

series174.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- x (/ 1 (fma 0.5 x (/ 1.0 y))))
42.0ms	(fma 0.5 x (/ 1.0 y))
85.0ms	(/ 1 (fma 0.5 x (/ 1.0 y)))

simplify1.4s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1821
1	484
0	203

prune372.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1 (* (fma x (/ y 2.0) 1.0) (/ 1 y))))
0.1b	(/ 1 (* (fma x (/ y 2.0) 1.0) (/ 1 y)))
7.9b	(* (fma x (/ y 2.0) 1.0) (/ 1 y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
38×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
27×	`prod-diff`
23×	`times-frac`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`prod-exp`
13×	`associate-r`
9×	`rec-exp` `1-exp`
8×	`pow1` `associate-/r/`
6×	`div-inv`
5×	`cbrt-undiv` `associate-*r/` `un-div-inv` `add-log-exp`
4×	`cbrt-unprod`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `log1p-expm1-u` `associate-/l*` `unswap-sqr`
2×	`pow-prod-down` `pow-flip` `distribute-lft-out--`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `-commutative` `flip--` `inv-pow` `difference-of-squares`

Counts

3 → 127

Calls

3 calls:

12.0ms	(- x (/ 1 (* (fma x (/ y 2.0) 1.0) (/ 1 y))))
25.0ms	(/ 1 (* (fma x (/ y 2.0) 1.0) (/ 1 y)))
13.0ms	(* (fma x (/ y 2.0) 1.0) (/ 1 y))

series213.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- x (/ 1 (* (fma x (/ y 2.0) 1.0) (/ 1 y))))
94.0ms	(/ 1 (* (fma x (/ y 2.0) 1.0) (/ 1 y)))
64.0ms	(* (fma x (/ y 2.0) 1.0) (/ 1 y))

simplify3.3s

Counts

136 → 136

Iterations

Iter	Nodes
done	5000
2	3584
1	611
0	231

prune464.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
0	8

end0.0ms

sample871.0ms

Algorithm

intervals

Results

572.0ms

8000×

body

valid