Details

sample459.0ms

Algorithm

intervals

Results

318.0ms

531×

body

valid

simplify703.0ms

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize57.0ms

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))

rewrite47.0ms

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:

7.0ms	(- 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)
25.0ms	(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
9.0ms	(/ 2 (* r r))

series521.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
161.0ms	(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
150.0ms	(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
68.0ms	(/ 2 (* r r))

simplify1.3s

Counts

148 → 148

Iterations

Iter	Nodes
2	2827
1	835
0	304

prune2.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

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)

rewrite54.0ms

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:

8.0ms	(- 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)
25.0ms	(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
15.0ms	(/ (/ 2 r) r)

series1.0s

Counts

4 → 12

Calls

4 calls:

172.0ms	(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
163.0ms	(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
613.0ms	(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
60.0ms	(/ (/ 2 r) r)

simplify1.3s

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

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

239×	`times-frac`
151×	`*-un-lft-identity`
146×	`add-sqr-sqrt`
119×	`add-cube-cbrt`
95×	`add-cbrt-cube` `add-exp-log`
43×	`fma-def`
39×	`prod-exp` `cbrt-unprod`
30×	`cbrt-undiv` `div-exp`
27×	`associate-l`
25×	`associate-/r*`
18×	`difference-of-squares`
16×	`associate-+r+`
14×	`div-inv` `associate-/l*`
13×	`add-log-exp`
12×	`prod-diff`
10×	`distribute-lft-out--`
9×	`pow1`
5×	`associate--l+`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `diff-log` `pow-prod-down`
2×	`clear-num` `sub-neg` `frac-2neg` `frac-add` `associate-/r/` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `associate-r` `associate-l/` `-commutative` `flip-+` `flip--` `associate-/l/`

Counts

4 → 294

Calls

4 calls:

77.0ms	(+ (/ (/ 2 r) r) (- (- 3 (* (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r))) 4.5))
37.0ms	(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
15.0ms	(/ (/ 2 r) r)
86.0ms	(* (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r))

series483.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(+ (/ (/ 2 r) r) (- (- 3 (* (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r))) 4.5))
134.0ms	(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
54.0ms	(/ (/ 2 r) r)
111.0ms	(* (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r))

simplify2.7s

Counts

306 → 306

Iterations

Iter	Nodes
2	5365
1	1457
0	504

prune4.8s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 2 r) r)
0.3b	(/ (/ (- 1 v) (fma -2 v 3)) (* w r))
0.3b	(* (/ 0.125 (/ (/ (- 1 v) (fma -2 v 3)) (* w r))) (* w r))
0.6b	(/ 0.125 (/ (/ (- 1 v) (fma -2 v 3)) (* w r)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

569×	`times-frac`
278×	`add-sqr-sqrt` `*-un-lft-identity`
197×	`add-cube-cbrt`
95×	`add-cbrt-cube` `add-exp-log`
83×	`associate-l`
54×	`difference-of-squares`
42×	`cbrt-undiv` `div-exp`
38×	`associate-/l*`
30×	`associate-/r*`
27×	`distribute-lft-out--`
26×	`prod-exp` `cbrt-unprod`
24×	`div-inv`
9×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down`
2×	`div-sub` `associate-/r/` `associate-/l/`
1×	`associate-r` `associate-l/` `-commutative`

Counts

4 → 394

Calls

4 calls:

16.0ms	(/ (/ 2 r) r)
38.0ms	(/ (/ (- 1 v) (fma -2 v 3)) (* w r))
57.0ms	(* (/ 0.125 (/ (/ (- 1 v) (fma -2 v 3)) (* w r))) (* w r))
23.0ms	(/ 0.125 (/ (/ (- 1 v) (fma -2 v 3)) (* w r)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (/ 2 r) r)
77.0ms	(/ (/ (- 1 v) (fma -2 v 3)) (* w r))
83.0ms	(* (/ 0.125 (/ (/ (- 1 v) (fma -2 v 3)) (* w r))) (* w r))
92.0ms	(/ 0.125 (/ (/ (- 1 v) (fma -2 v 3)) (* w r)))

simplify3.4s

Counts

406 → 406

Iterations

Iter	Nodes
2	6088
1	1890
0	646

prune6.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

regimes359.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	26
1	26
0	22

end0.0ms

sample5.5s

Algorithm

intervals

Results

5.0s

17135×

body

valid