Details

sample285.0ms

Algorithm

intervals

Results

157.0ms

561×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
4	2000
3	534
2	144
1	53
0	22

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize74.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ 3 (/ 2 (* r r))) (fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5))
0.1b	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
0.4b	(* (* w r) (* w r))
1.0b	(/ 2 (* r r))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
27×	`*-un-lft-identity`
21×	`add-cbrt-cube` `add-exp-log`
17×	`pow-prod-down`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`prod-diff`
9×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `fma-neg` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `pow-plus` `diff-log` `div-exp` `fma-udef` `distribute-lft-out--`
1×	`pow2` `clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `flip3--` `swap-sqr` `associate-r` `associate-l` `associate--l+` `-commutative` `div-inv` `flip--` `associate--r+` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

135.0ms	(- (+ 3 (/ 2 (* r r))) (fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5))
0.0ms	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
25.0ms	(* (* w r) (* w r))
9.0ms	(/ 2 (* r r))

series314.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(- (+ 3 (/ 2 (* r r))) (fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5))
114.0ms	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
33.0ms	(* (* w r) (* w r))
58.0ms	(/ 2 (* r r))

simplify1.2s

Counts

121 → 121

Iterations

Iter	Nodes
done	2000
3	2000
2	1429
1	417
0	168

prune694.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize71.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ 3 (/ (/ 2 r) r)) (fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5))
0.1b	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
0.2b	(/ (/ 2 r) r)
0.4b	(* (* w r) (* w r))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
67×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
43×	`pow1`
21×	`add-cbrt-cube` `add-exp-log`
17×	`pow-prod-down`
13×	`associate-/l*`
12×	`prod-diff`
9×	`add-log-exp`
8×	`prod-exp` `cbrt-unprod`
5×	`div-inv` `distribute-lft-out`
4×	`expm1-log1p-u` `fma-neg` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
2×	`pow-plus` `diff-log` `fma-udef` `distribute-lft-out--`
1×	`pow2` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `swap-sqr` `associate-r` `associate-l` `associate--l+` `*-commutative` `flip--` `associate--r+` `difference-of-squares` `associate-/l/`

Counts

4 → 158

Calls

4 calls:

120.0ms	(- (+ 3 (/ (/ 2 r) r)) (fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5))
0.0ms	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
16.0ms	(/ (/ 2 r) r)
57.0ms	(* (* w r) (* w r))

series338.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(- (+ 3 (/ (/ 2 r) r)) (fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5))
112.0ms	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
49.0ms	(/ (/ 2 r) r)
38.0ms	(* (* w r) (* w r))

simplify1.4s

Counts

170 → 170

Iterations

Iter	Nodes
done	2009
3	2009
2	1918
1	632
0	265

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize79.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (+ 3 (/ (/ 2 r) r)) (* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)))) 4.5)
0.2b	(* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)))
0.2b	(/ (/ 2 r) r)
0.4b	(* (* w r) (* w r))

rewrite800.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
142×	`add-sqr-sqrt`
138×	`*-un-lft-identity`
107×	`add-cube-cbrt`
90×	`add-cbrt-cube` `add-exp-log`
72×	`associate-l`
61×	`pow1`
47×	`prod-exp` `cbrt-unprod`
30×	`pow-prod-down`
19×	`difference-of-squares`
18×	`cbrt-undiv` `div-exp`
13×	`prod-diff` `associate-/l*` `add-log-exp`
10×	`distribute-lft-out--`
9×	`div-inv`
8×	`associate--l+`
5×	`diff-log`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `fma-neg` `unswap-sqr`
2×	`sub-neg` `pow-plus` `associate-r` `*-commutative`
1×	`associate--l-` `pow2` `clear-num` `sum-log` `frac-2neg` `flip3--` `swap-sqr` `associate-*l/` `associate-/r/` `flip--` `distribute-lft-out` `associate-/l/`

Counts

4 → 271

Calls

4 calls:

584.0ms	(- (- (+ 3 (/ (/ 2 r) r)) (* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)))) 4.5)
171.0ms	(* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)))
14.0ms	(/ (/ 2 r) r)
25.0ms	(* (* w r) (* w r))

series361.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(- (- (+ 3 (/ (/ 2 r) r)) (* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)))) 4.5)
114.0ms	(* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)))
53.0ms	(/ (/ 2 r) r)
44.0ms	(* (* w r) (* w r))

simplify1.1s

Counts

283 → 283

Iterations

Iter	Nodes
done	2000
2	2000
1	1342
0	487

prune1.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ 1 (sqrt (/ (- 1 v) (fma -2 v 3)))) (* (/ 0.125 (sqrt (/ (- 1 v) (fma -2 v 3)))) (* (* w r) (* w r))))
0.4b	(* (* w r) (* w r))
1.0b	(/ 1 (sqrt (/ (- 1 v) (fma -2 v 3))))
1.0b	(/ 0.125 (sqrt (/ (- 1 v) (fma -2 v 3))))

rewrite857.0ms

Algorithm

rewrite-expression-head

Rules

423×	`times-frac`
302×	`add-sqr-sqrt` `*-un-lft-identity`
245×	`add-exp-log`
242×	`sqrt-prod`
203×	`add-cube-cbrt`
156×	`prod-exp`
137×	`add-cbrt-cube`
82×	`cbrt-unprod`
81×	`associate-l`
70×	`pow1`
66×	`difference-of-squares`
50×	`associate-/r*`
45×	`div-exp`
36×	`pow-prod-down`
33×	`distribute-lft-out--`
23×	`cbrt-undiv`
14×	`div-inv`
12×	`rec-exp` `1-exp`
6×	`associate-/l*`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-div` `associate-*l/` `associate-/r/` `pow-flip`
2×	`clear-num` `frac-2neg` `pow-plus` `associate-r` `*-commutative`
1×	`pow2` `frac-times` `sqrt-pow1` `pow1/2` `swap-sqr` `associate-*r/` `inv-pow`

Counts

4 → 448

Calls

4 calls:

790.0ms	(* (/ 1 (sqrt (/ (- 1 v) (fma -2 v 3)))) (* (/ 0.125 (sqrt (/ (- 1 v) (fma -2 v 3)))) (* (* w r) (* w r))))
27.0ms	(* (* w r) (* w r))
12.0ms	(/ 1 (sqrt (/ (- 1 v) (fma -2 v 3))))
11.0ms	(/ 0.125 (sqrt (/ (- 1 v) (fma -2 v 3))))

series354.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (/ 1 (sqrt (/ (- 1 v) (fma -2 v 3)))) (* (/ 0.125 (sqrt (/ (- 1 v) (fma -2 v 3)))) (* (* w r) (* w r))))
32.0ms	(* (* w r) (* w r))
97.0ms	(/ 1 (sqrt (/ (- 1 v) (fma -2 v 3))))
146.0ms	(/ 0.125 (sqrt (/ (- 1 v) (fma -2 v 3))))

simplify1.6s

Counts

460 → 460

Iterations

Iter	Nodes
done	2001
2	2001
1	1554
0	637

prune3.0s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

regimes813.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample4.8s

Algorithm

intervals

Results

4.2s

16984×

body

valid