Details

sample262.0ms

Algorithm

intervals

Results

166.0ms

533×

body

valid

simplify802.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	2323
3	534
2	142
1	51
0	22

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 151

Calls

4 calls:

0.0ms	(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
34.0ms	(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
12.0ms	(/ 2 (* r r))
27.0ms	(/ (- 1 v) (fma -2 v 3))

series348.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
128.0ms	(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
41.0ms	(/ 2 (* r r))
61.0ms	(/ (- 1 v) (fma -2 v 3))

simplify836.0ms

Counts

163 → 163

Iterations

Iter	Nodes
2	2936
1	807
0	290

prune998.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 2 (* r r))
0.2b	(/ (- 1 v) (fma -2 v 3))
0.3b	(/ (/ (- 1 v) (fma -2 v 3)) (* w r))
0.7b	(/ 0.125 (/ (/ (- 1 v) (fma -2 v 3)) (* w r)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

317×	`times-frac`
174×	`add-sqr-sqrt` `*-un-lft-identity`
108×	`add-cube-cbrt`
44×	`difference-of-squares`
41×	`add-cbrt-cube` `add-exp-log`
34×	`associate-/l*`
31×	`associate-/r*`
22×	`distribute-lft-out--`
20×	`cbrt-undiv` `div-exp`
14×	`div-inv`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-sub` `associate-/l/`
1×	`flip3--` `associate-/r/` `flip--`

Counts

4 → 268

Calls

4 calls:

7.0ms	(/ 2 (* r r))
17.0ms	(/ (- 1 v) (fma -2 v 3))
34.0ms	(/ (/ (- 1 v) (fma -2 v 3)) (* w r))
38.0ms	(/ 0.125 (/ (/ (- 1 v) (fma -2 v 3)) (* w r)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ 2 (* r r))
49.0ms	(/ (- 1 v) (fma -2 v 3))
89.0ms	(/ (/ (- 1 v) (fma -2 v 3)) (* w r))
71.0ms	(/ 0.125 (/ (/ (- 1 v) (fma -2 v 3)) (* w r)))

simplify1.9s

Counts

280 → 280

Iterations

Iter	Nodes
2	3535
1	1220
0	458

prune1.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

151×	`times-frac`
107×	`add-sqr-sqrt` `*-un-lft-identity`
77×	`add-cube-cbrt`
32×	`add-cbrt-cube` `add-exp-log`
28×	`associate-/r*`
20×	`associate-/l*` `difference-of-squares`
13×	`cbrt-undiv` `div-exp`
10×	`distribute-lft-out--`
9×	`div-inv`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `fma-udef` `flip--`

Counts

4 → 200

Calls

4 calls:

0.0ms	(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
26.0ms	(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
12.0ms	(/ (/ 2 r) r)
16.0ms	(/ (- 1 v) (fma -2 v 3))

series346.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
123.0ms	(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
35.0ms	(/ (/ 2 r) r)
34.0ms	(/ (- 1 v) (fma -2 v 3))

simplify1.3s

Counts

212 → 212

Iterations

Iter	Nodes
2	3437
1	1029
0	386

prune1.6s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1 v) (fma -2 v 3))
0.2b	(/ (- 1 v) (fma -2 v 3))
0.2b	(/ (- 1 v) (fma -2 v 3))
0.5b	(cbrt (* (/ (- 1 v) (fma -2 v 3)) (* (/ (- 1 v) (fma -2 v 3)) (/ (- 1 v) (fma -2 v 3)))))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt` `*-un-lft-identity`
54×	`times-frac`
37×	`add-cube-cbrt`
24×	`difference-of-squares`
18×	`associate-/l*`
12×	`distribute-lft-out--`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r*`
7×	`cbrt-div`
6×	`associate-/l/`
5×	`frac-times` `associate-*r/`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `associate-*l/` `div-inv` `flip--`
1×	`cbrt-prod` `pow1/3` `cube-unmult` `rem-cbrt-cube`

Counts

4 → 155

Calls

4 calls:

26.0ms	(/ (- 1 v) (fma -2 v 3))
25.0ms	(/ (- 1 v) (fma -2 v 3))
19.0ms	(/ (- 1 v) (fma -2 v 3))
61.0ms	(cbrt (* (/ (- 1 v) (fma -2 v 3)) (* (/ (- 1 v) (fma -2 v 3)) (/ (- 1 v) (fma -2 v 3)))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (- 1 v) (fma -2 v 3))
34.0ms	(/ (- 1 v) (fma -2 v 3))
45.0ms	(/ (- 1 v) (fma -2 v 3))
50.0ms	(cbrt (* (/ (- 1 v) (fma -2 v 3)) (* (/ (- 1 v) (fma -2 v 3)) (/ (- 1 v) (fma -2 v 3)))))

simplify5.8s

Counts

167 → 167

Iterations

Iter	Nodes
4	4899
3	1800
2	629
1	283
0	134

prune1.3s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes674.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	28
1	28
0	24

end0.0ms

sample5.2s

Algorithm

intervals

Results

4.6s

16924×

body

valid