Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	9	11
1	15	11
2	22	11
3	26	10
4	29	10
5	30	10
done	30	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ y (fma (/ x 2.0) y 1.0)))
5.5b	(/ y (fma (/ x 2.0) y 1.0))

rewrite14.0ms

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-exp-log` `add-cbrt-cube` `div-inv` `add-log-exp`
3×	`fma-neg` `associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `distribute-lft-out--`

Counts

2 → 88

Calls

2 calls:

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

series97.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- x (/ y (fma (/ x 2.0) y 1.0)))
58.0ms	(/ y (fma (/ x 2.0) y 1.0))

simplify727.0ms

Counts

94 → 94

Iterations

Useful iterations: done (723.0ms)

Iter	Nodes	Cost
0	202	3491
1	490	3104
2	1742	2276
done	5000	2273

prune174.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* y (/ 1 (fma (/ x 2.0) y 1.0))))
0.7b	(/ 1 (fma (/ x 2.0) y 1.0))
4.6b	(* y (/ 1 (fma (/ x 2.0) y 1.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac`
16×	`add-exp-log`
13×	`associate-r`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `prod-diff` `associate-/r` `log1p-expm1-u` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`sub-neg` `flip3--` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `flip--` `inv-pow`

Counts

3 → 91

Calls

3 calls:

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

series146.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- x (* y (/ 1 (fma (/ x 2.0) y 1.0))))
46.0ms	(/ 1 (fma (/ x 2.0) y 1.0))
62.0ms	(* y (/ 1 (fma (/ x 2.0) y 1.0)))

simplify707.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	168	1559
1	399	1344
2	1552	1175
done	5001	1175

prune196.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
0.1b	(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
5.4b	(/ (fma (/ x 2.0) y 1.0) y)

rewrite49.0ms

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×	`add-exp-log` `associate-/r*`
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` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `flip--` `inv-pow`

Counts

3 → 263

Calls

3 calls:

26.0ms	(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
5.0ms	(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
2.0ms	(/ (fma (/ x 2.0) y 1.0) y)

series147.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
57.0ms	(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
52.0ms	(/ (fma (/ x 2.0) y 1.0) y)

simplify3.6s

Counts

272 → 272

Iterations

Useful iterations: 2 (497.0ms)

Iter	Nodes	Cost
0	516	13640
1	1328	11807
2	4338	8165
done	5000	8165

prune310.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(pow (cbrt y) 3)
2.2b	(/ (cbrt y) (fma (/ x 2.0) y 1.0))
5.5b	(/ (pow (cbrt y) 3) (fma (/ x 2.0) y 1.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

72×	`times-frac`
64×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
45×	`cbrt-prod`
30×	`unpow-prod-down` `cube-prod`
24×	`associate-/l*`
12×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/r*`
5×	`pow1` `cube-mult` `unpow3` `sqr-pow`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `pow-exp` `clear-num` `div-inv`
1×	`rem-cube-cbrt`

Counts

4 → 177

Calls

4 calls:

0.0ms	(cbrt y)
4.0ms	(pow (cbrt y) 3)
3.0ms	(/ (cbrt y) (fma (/ x 2.0) y 1.0))
8.0ms	(/ (pow (cbrt y) 3) (fma (/ x 2.0) y 1.0))

series695.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt y)
227.0ms	(pow (cbrt y) 3)
206.0ms	(/ (cbrt y) (fma (/ x 2.0) y 1.0))
81.0ms	(/ (pow (cbrt y) 3) (fma (/ x 2.0) y 1.0))

simplify1.9s

Counts

189 → 189

Iterations

Useful iterations: 2 (270.0ms)

Iter	Nodes	Cost
0	262	3107
1	570	2550
2	3148	2395
done	5001	2395

prune452.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	13	12
done	13	12

end0.0ms

sample337.0ms

Algorithm

intervals

Results

207.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid