Details

sample371.0ms

Algorithm

intervals

Results

169.0ms

545×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	2385
3	541
2	141
1	51
0	22

prune58.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize231.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* r r))
0.4b	(/ (- 1.0 v) (* (* w r) (* w r)))
0.4b	(* (* w r) (* w r))
0.5b	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

rewrite381.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-cbrt-cube` `add-exp-log`
55×	`times-frac`
43×	`pow1`
38×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
25×	`prod-exp` `cbrt-unprod`
18×	`cbrt-undiv` `div-exp`
17×	`pow-prod-down`
11×	`associate-/r` `associate-/l`
7×	`div-inv`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow-plus` `associate-/l/`
1×	`pow2` `flip3--` `div-sub` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `flip--`

Counts

4 → 163

Calls

4 calls:

18.0ms	(/ 2.0 (* r r))
96.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
93.0ms	(* (* w r) (* w r))
159.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

series391.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 2.0 (* r r))
110.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
67.0ms	(* (* w r) (* w r))
180.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

simplify5.3s

Counts

175 → 175

Iterations

Iter	Nodes
done	5002
2	3078
1	710
0	250

prune2.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

localize191.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* (* 0.125 w) r) (/ (- 1.0 v) (* w r))) (- 3.0 (* 2.0 v)) 4.5)
0.2b	(/ (* (* 0.125 w) r) (/ (- 1.0 v) (* w r)))
0.3b	(/ (- 1.0 v) (* w r))
0.3b	(/ 2.0 (* r r))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-cbrt-cube` `add-exp-log`
27×	`times-frac`
20×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`cbrt-undiv` `div-exp`
14×	`prod-exp` `cbrt-unprod`
12×	`add-cube-cbrt`
11×	`associate-/r*`
9×	`associate-/l*`
5×	`div-inv`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`clear-num` `frac-2neg`
2×	`associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `fma-udef` `flip--`

Counts

4 → 117

Calls

4 calls:

1.0ms	(fma (/ (* (* 0.125 w) r) (/ (- 1.0 v) (* w r))) (- 3.0 (* 2.0 v)) 4.5)
103.0ms	(/ (* (* 0.125 w) r) (/ (- 1.0 v) (* w r)))
83.0ms	(/ (- 1.0 v) (* w r))
17.0ms	(/ 2.0 (* r r))

series410.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(fma (/ (* (* 0.125 w) r) (/ (- 1.0 v) (* w r))) (- 3.0 (* 2.0 v)) 4.5)
126.0ms	(/ (* (* 0.125 w) r) (/ (- 1.0 v) (* w r)))
47.0ms	(/ (- 1.0 v) (* w r))
43.0ms	(/ 2.0 (* r r))

simplify5.3s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	2921
1	646
0	233

prune2.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize238.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 2.0 r) r)
0.4b	(/ (- 1.0 v) (* (* w r) (* w r)))
0.4b	(* (* w r) (* w r))
0.5b	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
78×	`add-sqr-sqrt` `*-un-lft-identity`
66×	`add-cube-cbrt`
64×	`add-cbrt-cube` `add-exp-log`
43×	`pow1`
24×	`prod-exp` `cbrt-unprod`
21×	`associate-/l*`
19×	`cbrt-undiv` `div-exp`
17×	`pow-prod-down`
13×	`associate-/r*`
11×	`div-inv`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/l/`
2×	`pow-plus`
1×	`pow2` `flip3--` `div-sub` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `flip--`

Counts

4 → 212

Calls

4 calls:

25.0ms	(/ (/ 2.0 r) r)
124.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
93.0ms	(* (* w r) (* w r))
112.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

series419.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (/ 2.0 r) r)
137.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
67.0ms	(* (* w r) (* w r))
161.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

simplify6.6s

Counts

224 → 224

Iterations

Iter	Nodes
done	5000
2	3459
1	923
0	346

prune2.9s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize320.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- 1.0 v) (* w r))
0.3b	(/ (- 1.0 v) (* w r))
0.3b	(/ (- 1.0 v) (* w r))
0.3b	(/ 2.0 (* r r))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

59.0ms	(/ (- 1.0 v) (* w r))
40.0ms	(/ (- 1.0 v) (* w r))
39.0ms	(/ (- 1.0 v) (* w r))
33.0ms	(/ 2.0 (* r r))

series201.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ (- 1.0 v) (* w r))
49.0ms	(/ (- 1.0 v) (* w r))
53.0ms	(/ (- 1.0 v) (* w r))
41.0ms	(/ 2.0 (* r r))

simplify7.4s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
3	4491
2	929
1	278
0	116

prune2.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes2.3s

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify25.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample3.9s

Algorithm

intervals

Results

3.1s

17016×

body

valid