Details

sample378.0ms

Algorithm

intervals

Results

245.0ms

556×

body

valid

simplify678.0ms

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize86.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
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)))
0.3b	(/ 2 (* r r))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

61×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity`
33×	`add-cube-cbrt`
30×	`add-cbrt-cube` `add-exp-log`
23×	`associate-/r*`
13×	`difference-of-squares`
11×	`cbrt-undiv` `div-exp`
9×	`prod-diff`
7×	`prod-exp` `cbrt-unprod` `distribute-lft-out--`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*`
3×	`fma-neg`
2×	`clear-num` `frac-2neg` `fma-udef`
1×	`sub-neg` `flip3--` `diff-log` `associate-/r/` `flip--` `associate--r+`

Counts

4 → 136

Calls

4 calls:

5.0ms	(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
0.0ms	(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
36.0ms	(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
16.0ms	(/ 2 (* r r))

series531.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
180.0ms	(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
143.0ms	(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
69.0ms	(/ 2 (* r r))

simplify1.1s

Counts

148 → 148

Iterations

Iter	Nodes
2	2827
1	835
0	304

prune2.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
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)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

133×	`times-frac`
93×	`add-sqr-sqrt` `*-un-lft-identity`
73×	`add-cube-cbrt`
30×	`add-cbrt-cube` `add-exp-log`
25×	`associate-/r*`
14×	`associate-/l*`
13×	`difference-of-squares`
12×	`cbrt-undiv` `div-exp`
9×	`prod-diff`
8×	`div-inv`
7×	`distribute-lft-out--`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg`
2×	`clear-num` `frac-2neg` `fma-udef`
1×	`sub-neg` `flip3--` `diff-log` `associate-/r/` `flip--` `associate--r+` `associate-/l/`

Counts

4 → 185

Calls

4 calls:

5.0ms	(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
0.0ms	(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
24.0ms	(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
7.0ms	(/ (/ 2 r) r)

series464.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
143.0ms	(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
105.0ms	(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
29.0ms	(/ (/ 2 r) r)

simplify1.5s

Counts

197 → 197

Iterations

Iter	Nodes
2	3324
1	1035
0	400

prune3.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* 0.125 (* w r)) (- 1 v))
0.2b	(fma (/ (/ (* 0.125 (* w r)) (- 1 v)) (/ 1 (fma -2 v 3))) (* w r) 4.5)
0.2b	(/ (/ 2 r) r)
7.5b	(/ (/ (* 0.125 (* w r)) (- 1 v)) (/ 1 (fma -2 v 3)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

438×	`times-frac`
215×	`add-sqr-sqrt` `*-un-lft-identity`
167×	`add-cube-cbrt`
78×	`add-exp-log`
50×	`add-cbrt-cube`
42×	`div-exp`
34×	`div-inv`
32×	`difference-of-squares`
31×	`associate-/r/`
26×	`associate-/l*`
24×	`cbrt-undiv`
22×	`associate-/r*`
16×	`distribute-lft-out--`
15×	`flip3--` `prod-exp` `flip--`
9×	`cbrt-unprod`
4×	`expm1-log1p-u` `pow1` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`associate-/l/`
1×	`fma-udef`

Counts

4 → 338

Calls

4 calls:

27.0ms	(/ (* 0.125 (* w r)) (- 1 v))
0.0ms	(fma (/ (/ (* 0.125 (* w r)) (- 1 v)) (/ 1 (fma -2 v 3))) (* w r) 4.5)
8.0ms	(/ (/ 2 r) r)
40.0ms	(/ (/ (* 0.125 (* w r)) (- 1 v)) (/ 1 (fma -2 v 3)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (* 0.125 (* w r)) (- 1 v))
116.0ms	(fma (/ (/ (* 0.125 (* w r)) (- 1 v)) (/ 1 (fma -2 v 3))) (* w r) 4.5)
28.0ms	(/ (/ 2 r) r)
155.0ms	(/ (/ (* 0.125 (* w r)) (- 1 v)) (/ 1 (fma -2 v 3)))

simplify13.4s

Counts

350 → 350

Iterations

Iter	Nodes
2	6232
1	1843
0	619

prune5.3s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

2562×	`times-frac`
1298×	`sqrt-prod`
1252×	`add-sqr-sqrt` `*-un-lft-identity`
721×	`add-cube-cbrt`
354×	`difference-of-squares`
177×	`distribute-lft-out--`
92×	`div-inv`
53×	`associate-/r*`
44×	`associate-/l*`
32×	`add-cbrt-cube` `add-exp-log`
28×	`sqrt-div` `associate-/r/`
13×	`cbrt-undiv` `div-exp`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`associate-/l/`
1×	`fma-udef`

Counts

4 → 983

Calls

4 calls:

0.0ms	(fma (/ (/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ (- 1 v) (fma -2 v 3)))) (* w r) 4.5)
8.0ms	(/ (/ 2 r) r)
42.0ms	(/ (/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ (- 1 v) (fma -2 v 3))))
24.0ms	(/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3))))

series574.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(fma (/ (/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ (- 1 v) (fma -2 v 3)))) (* w r) 4.5)
49.0ms	(/ (/ 2 r) r)
141.0ms	(/ (/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ (- 1 v) (fma -2 v 3))))
220.0ms	(/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3))))

simplify3.2s

Counts

995 → 995

Iterations

Iter	Nodes
1	3722
0	1434

prune20.8s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes698.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	24
1	24
0	21

end0.0ms

sample5.2s

Algorithm

intervals

Results

4.6s

17287×

body

valid