Details

sample383.0ms

Algorithm

intervals

Results

212.0ms

533×

body

valid

simplify722.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
4	2000
3	534
2	144
1	53
0	22

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 2 (* r r))
0.2b	(/ (- 1 v) (fma -2 v 3))
0.3b	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
0.4b	(* (* w r) (* w r))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
29×	`add-sqr-sqrt` `*-un-lft-identity`
23×	`add-cbrt-cube` `add-exp-log`
21×	`times-frac`
17×	`pow-prod-down` `add-cube-cbrt`
9×	`prod-exp` `cbrt-unprod` `associate-/l*`
8×	`difference-of-squares`
4×	`expm1-log1p-u` `associate-/r*` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`clear-num` `frac-2neg` `pow-plus` `div-inv` `associate-/l/`
1×	`pow2` `flip3--` `div-sub` `swap-sqr` `associate-r` `associate-l` `*-commutative` `fma-udef` `flip--`

Counts

4 → 117

Calls

4 calls:

7.0ms	(/ 2 (* r r))
21.0ms	(/ (- 1 v) (fma -2 v 3))
0.0ms	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
26.0ms	(* (* w r) (* w r))

series232.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 2 (* r r))
28.0ms	(/ (- 1 v) (fma -2 v 3))
128.0ms	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
38.0ms	(* (* w r) (* w r))

simplify1.1s

Counts

129 → 129

Iterations

Iter	Nodes
done	2004
3	2004
2	1457
1	469
0	202

prune2.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 2 (* r r))
0.2b	(/ (- 1 v) (fma -2 v 3))
0.3b	(* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)))
0.4b	(* (* w r) (* w r))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
115×	`add-sqr-sqrt`
109×	`*-un-lft-identity`
92×	`add-cbrt-cube` `add-exp-log`
72×	`associate-l`
70×	`add-cube-cbrt`
61×	`pow1`
48×	`prod-exp` `cbrt-unprod`
30×	`pow-prod-down`
26×	`difference-of-squares`
18×	`cbrt-undiv` `div-exp`
13×	`distribute-lft-out--`
9×	`associate-/l*`
6×	`div-inv`
4×	`expm1-log1p-u` `associate-/r*` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-plus` `associate-r` `*-commutative` `associate-/l/`
1×	`pow2` `flip3--` `div-sub` `swap-sqr` `associate-*l/` `associate-/r/` `flip--`

Counts

4 → 228

Calls

4 calls:

14.0ms	(/ 2 (* r r))
20.0ms	(/ (- 1 v) (fma -2 v 3))
103.0ms	(* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)))
31.0ms	(* (* w r) (* w r))

series235.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ 2 (* r r))
32.0ms	(/ (- 1 v) (fma -2 v 3))
101.0ms	(* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)))
54.0ms	(* (* w r) (* w r))

simplify1.2s

Counts

240 → 240

Iterations

Iter	Nodes
done	2007
2	2007
1	1073
0	370

prune3.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* w r))
0.2b	(/ 2 (* r r))
0.2b	(/ (- 1 v) (fma -2 v 3))
0.3b	(* (* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* w r)) (* w r))

rewrite562.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
109×	`add-sqr-sqrt` `*-un-lft-identity`
97×	`add-cbrt-cube` `add-exp-log`
72×	`associate-l`
70×	`add-cube-cbrt`
49×	`prod-exp` `cbrt-unprod`
30×	`pow1`
26×	`difference-of-squares`
21×	`cbrt-undiv` `div-exp`
18×	`pow-prod-down`
13×	`distribute-lft-out--`
9×	`associate-/l*`
6×	`div-inv`
4×	`expm1-log1p-u` `associate-/r*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-*l/`
2×	`clear-num` `frac-2neg` `associate-r` `*-commutative` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

4 → 215

Calls

4 calls:

48.0ms	(* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* w r))
6.0ms	(/ 2 (* r r))
16.0ms	(/ (- 1 v) (fma -2 v 3))
486.0ms	(* (* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* w r)) (* w r))

series257.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* w r))
50.0ms	(/ 2 (* r r))
38.0ms	(/ (- 1 v) (fma -2 v 3))
87.0ms	(* (* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* w r)) (* w r))

simplify1.2s

Counts

227 → 227

Iterations

Iter	Nodes
done	2006
2	2006
1	1138
0	385

prune3.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (* 0.125 (* w r)) (* w r)) (/ (- 1 v) (fma -2 v 3)))
0.2b	(/ 2 (* r r))
0.2b	(/ (- 1 v) (fma -2 v 3))
0.4b	(* (* 0.125 (* w r)) (* w r))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-cbrt-cube` `add-exp-log`
79×	`times-frac`
67×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`prod-exp` `cbrt-unprod`
37×	`add-cube-cbrt`
26×	`associate-/r*`
25×	`pow1`
24×	`cbrt-undiv` `div-exp`
20×	`difference-of-squares`
15×	`pow-prod-down`
10×	`associate-/l*` `distribute-lft-out--`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`associate-/l/`
1×	`flip3--` `div-sub` `associate-r` `associate-l` `associate-/r/` `*-commutative` `flip--`

Counts

4 → 187

Calls

4 calls:

101.0ms	(/ (* (* 0.125 (* w r)) (* w r)) (/ (- 1 v) (fma -2 v 3)))
14.0ms	(/ 2 (* r r))
26.0ms	(/ (- 1 v) (fma -2 v 3))
84.0ms	(* (* 0.125 (* w r)) (* w r))

series243.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(/ (* (* 0.125 (* w r)) (* w r)) (/ (- 1 v) (fma -2 v 3)))
50.0ms	(/ 2 (* r r))
40.0ms	(/ (- 1 v) (fma -2 v 3))
40.0ms	(* (* 0.125 (* w r)) (* w r))

simplify1.2s

Counts

199 → 199

Iterations

Iter	Nodes
done	2000
2	2000
1	909
0	310

prune2.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes647.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	29
1	29
0	21

end0.0ms

sample4.7s

Algorithm

intervals

Results

4.2s

16924×

body

valid