Details

sample343.0ms

Algorithm

intervals

Results

259.0ms

510×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
4	2344
3	534
2	144
1	53
0	22

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fma -2 v 3) (- 1 v))
0.1b	(fma (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))) 4.5)
0.3b	(* (* w r) (* 0.125 (* w r)))
0.5b	(/ 2 (* r r))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-cbrt-cube` `add-exp-log`
29×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`pow1`
21×	`times-frac`
17×	`add-cube-cbrt`
16×	`prod-exp` `cbrt-unprod`
15×	`pow-prod-down`
8×	`difference-of-squares`
7×	`associate-/r*`
6×	`associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`clear-num` `frac-2neg` `associate-/r/` `div-inv`
1×	`flip3--` `associate-r` `associate-l` `*-commutative` `fma-udef` `flip--`

Counts

4 → 110

Calls

4 calls:

9.0ms	(/ (fma -2 v 3) (- 1 v))
0.0ms	(fma (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))) 4.5)
79.0ms	(* (* w r) (* 0.125 (* w r)))
27.0ms	(/ 2 (* r r))

series264.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (fma -2 v 3) (- 1 v))
125.0ms	(fma (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))) 4.5)
41.0ms	(* (* w r) (* 0.125 (* w r)))
51.0ms	(/ 2 (* r r))

simplify1.8s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	1479
1	455
0	205

prune773.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fma -2 v 3) (- 1 v))
0.1b	(* (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))))
0.3b	(* (* w r) (* 0.125 (* w r)))
0.5b	(/ 2 (* r r))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-cbrt-cube` `add-exp-log`
60×	`prod-exp` `cbrt-unprod`
54×	`pow1`
48×	`add-sqr-sqrt` `*-un-lft-identity`
39×	`times-frac`
37×	`pow-prod-down`
27×	`add-cube-cbrt`
25×	`associate-l`
14×	`difference-of-squares`
10×	`cbrt-undiv` `div-exp`
7×	`associate-/r*` `distribute-lft-out--`
6×	`associate-/l*`
4×	`expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`clear-num` `frac-2neg` `flip3--` `associate-r` `*-commutative` `flip--`
1×	`associate-*l/`

Counts

4 → 171

Calls

4 calls:

9.0ms	(/ (fma -2 v 3) (- 1 v))
153.0ms	(* (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))))
51.0ms	(* (* w r) (* 0.125 (* w r)))
11.0ms	(/ 2 (* r r))

series245.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (fma -2 v 3) (- 1 v))
96.0ms	(* (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))))
60.0ms	(* (* w r) (* 0.125 (* w r)))
43.0ms	(/ 2 (* r r))

simplify2.3s

Counts

183 → 183

Iterations

Iter	Nodes
done	5000
2	2750
1	707
0	266

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fma -2 v 3) (- 1 v))
0.1b	(* (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))))
0.2b	(/ (/ 2 r) r)
0.3b	(* (* w r) (* 0.125 (* w r)))

rewrite338.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
97×	`add-cbrt-cube` `add-exp-log`
88×	`add-sqr-sqrt` `*-un-lft-identity`
67×	`add-cube-cbrt`
59×	`prod-exp` `cbrt-unprod`
54×	`pow1`
37×	`pow-prod-down`
25×	`associate-l`
16×	`associate-/l*`
14×	`difference-of-squares`
11×	`cbrt-undiv` `div-exp`
9×	`associate-/r*`
7×	`div-inv` `distribute-lft-out--`
4×	`expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `associate-r` `*-commutative` `flip--`
1×	`associate-*l/` `associate-/l/`

Counts

4 → 220

Calls

4 calls:

17.0ms	(/ (fma -2 v 3) (- 1 v))
232.0ms	(* (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))))
10.0ms	(/ (/ 2 r) r)
69.0ms	(* (* w r) (* 0.125 (* w r)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (fma -2 v 3) (- 1 v))
89.0ms	(* (/ (fma -2 v 3) (- 1 v)) (* (* w r) (* 0.125 (* w r))))
29.0ms	(/ (/ 2 r) r)
60.0ms	(* (* w r) (* 0.125 (* w r)))

simplify2.7s

Counts

232 → 232

Iterations

Iter	Nodes
done	5001
2	3164
1	938
0	362

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

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

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

219×	`add-exp-log`
157×	`prod-exp`
143×	`add-cbrt-cube`
97×	`cbrt-unprod`
95×	`times-frac`
92×	`pow1`
73×	`add-sqr-sqrt`
67×	`*-un-lft-identity` `pow-prod-down`
57×	`add-cube-cbrt`
26×	`associate-r`
19×	`div-exp`
13×	`associate-/l*`
11×	`cbrt-undiv`
8×	`rec-exp` `1-exp`
6×	`div-inv` `difference-of-squares`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `-commutative` `distribute-lft-out--` `unswap-sqr`
2×	`associate-l/` `associate-r/` `associate-/r/` `un-div-inv`
1×	`clear-num` `frac-2neg` `flip3--` `flip--` `associate-/l/`

Counts

4 → 239

Calls

4 calls:

21.0ms	(* (fma -2 v 3) (/ 1 (- 1 v)))
211.0ms	(* (* (fma -2 v 3) (/ 1 (- 1 v))) (* (* w r) (* 0.125 (* w r))))
13.0ms	(/ (/ 2 r) r)
54.0ms	(* (* w r) (* 0.125 (* w r)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (fma -2 v 3) (/ 1 (- 1 v)))
70.0ms	(* (* (fma -2 v 3) (/ 1 (- 1 v))) (* (* w r) (* 0.125 (* w r))))
46.0ms	(/ (/ 2 r) r)
45.0ms	(* (* w r) (* 0.125 (* w r)))

simplify2.5s

Counts

251 → 251

Iterations

Iter	Nodes
done	5007
2	3585
1	993
0	388

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes289.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	32
1	32
0	24

end0.0ms

sample5.1s

Algorithm

intervals

Results

4.6s

17079×

body

valid