Details

sample327.0ms

Algorithm

intervals

Results

175.0ms

611×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize79.0ms

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))
0.7b	(/ 2 (* r r))

rewrite193.0ms

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)
40.0ms	(* (* w r) (* w r))
16.0ms	(/ 2 (* r r))

series348.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(- (+ 3 (/ 2 (* r r))) (fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5))
113.0ms	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
60.0ms	(* (* w r) (* w r))
37.0ms	(/ 2 (* r r))

simplify1.2s

Counts

121 → 121

Iterations

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

prune807.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize75.0ms

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))

rewrite151.0ms

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:

103.0ms	(- (+ 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)
7.0ms	(/ (/ 2 r) r)
36.0ms	(* (* w r) (* w r))

series307.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(- (+ 3 (/ (/ 2 r) r)) (fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5))
100.0ms	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
48.0ms	(/ (/ 2 r) r)
56.0ms	(* (* w r) (* w r))

simplify1.4s

Counts

170 → 170

Iterations

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

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

336×	`times-frac`
231×	`add-sqr-sqrt`
225×	`*-un-lft-identity`
162×	`add-cube-cbrt`
95×	`add-cbrt-cube` `add-exp-log`
72×	`associate-l`
61×	`pow1`
47×	`prod-exp` `cbrt-unprod`
42×	`difference-of-squares`
30×	`pow-prod-down`
25×	`associate-/r*`
21×	`cbrt-undiv` `div-exp` `distribute-lft-out--`
16×	`associate-/l*`
14×	`div-inv`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-plus` `associate-r` `associate-/r/` `*-commutative`
1×	`pow2` `swap-sqr` `associate-*l/` `associate-/l/`

Counts

4 → 341

Calls

4 calls:

11.0ms	(/ 0.125 (/ (- 1 v) (fma -2 v 3)))
91.0ms	(* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)))
7.0ms	(/ (/ 2 r) r)
37.0ms	(* (* w r) (* w r))

series250.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ 0.125 (/ (- 1 v) (fma -2 v 3)))
86.0ms	(* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)))
39.0ms	(/ (/ 2 r) r)
56.0ms	(* (* w r) (* w r))

simplify1.3s

Counts

353 → 353

Iterations

Iter	Nodes
done	2002
2	2002
1	1526
0	520

prune2.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (sqrt (/ 0.125 (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ 0.125 (/ (- 1 v) (fma -2 v 3))))) (* (* w r) (* w r)))
0.2b	(/ (/ 2 r) r)
0.4b	(* (* w r) (* w r))
0.5b	(* (sqrt (/ 0.125 (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ 0.125 (/ (- 1 v) (fma -2 v 3)))))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

651×	`times-frac`
454×	`add-sqr-sqrt`
448×	`*-un-lft-identity`
346×	`sqrt-prod`
286×	`add-cube-cbrt`
167×	`pow1`
95×	`swap-sqr`
82×	`pow-prod-down`
76×	`associate-r` `associate-l`
72×	`difference-of-squares`
64×	`add-cbrt-cube` `add-exp-log`
54×	`distribute-lft-out--`
40×	`prod-exp` `cbrt-unprod`
23×	`pow-prod-up`
21×	`div-inv`
17×	`unswap-sqr`
15×	`pow-sqr`
13×	`pow-plus` `associate-/l*`
8×	`sqrt-pow1` `pow1/2` `sqrt-div`
5×	`associate-*l/`
4×	`pow2` `expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `div-exp` `-commutative`
2×	`frac-times` `associate-*r/`
1×	`clear-num` `rem-square-sqrt` `frac-2neg` `sqrt-unprod` `associate-/l/`

Counts

4 → 463

Calls

4 calls:

194.0ms	(* (* (sqrt (/ 0.125 (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ 0.125 (/ (- 1 v) (fma -2 v 3))))) (* (* w r) (* w r)))
8.0ms	(/ (/ 2 r) r)
23.0ms	(* (* w r) (* w r))
57.0ms	(* (sqrt (/ 0.125 (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ 0.125 (/ (- 1 v) (fma -2 v 3)))))

series508.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(* (* (sqrt (/ 0.125 (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ 0.125 (/ (- 1 v) (fma -2 v 3))))) (* (* w r) (* w r)))
28.0ms	(/ (/ 2 r) r)
52.0ms	(* (* w r) (* w r))
145.0ms	(* (sqrt (/ 0.125 (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ 0.125 (/ (- 1 v) (fma -2 v 3)))))

simplify1.5s

Counts

475 → 475

Iterations

Iter	Nodes
done	2000
2	2000
1	1602
0	792

prune3.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes279.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	28
1	28
0	23

end0.0ms

sample5.0s

Algorithm

intervals

Results

4.0s

17095×

body

valid