Details

sample304.0ms

Algorithm

intervals

Results

188.0ms

546×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 0.125 (/ (- 1 v) (fma -2 v 3)))
0.1b	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
0.4b	(* (* w r) (* w r))
0.8b	(/ 2 (* r r))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
105×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
43×	`pow1`
26×	`add-cbrt-cube` `add-exp-log`
24×	`difference-of-squares`
23×	`associate-/r*`
17×	`pow-prod-down`
12×	`distribute-lft-out--`
9×	`prod-exp` `cbrt-unprod`
6×	`div-inv` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-plus`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `fma-udef`

Counts

4 → 181

Calls

4 calls:

10.0ms	(/ 0.125 (/ (- 1 v) (fma -2 v 3)))
0.0ms	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
32.0ms	(* (* w r) (* w r))
15.0ms	(/ 2 (* r r))

series295.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ 0.125 (/ (- 1 v) (fma -2 v 3)))
118.0ms	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
46.0ms	(* (* w r) (* w r))
70.0ms	(/ 2 (* r r))

simplify1.1s

Counts

193 → 193

Iterations

Iter	Nodes
done	2000
2	2000
1	838
0	325

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 0.125 (/ (- 1 v) (fma -2 v 3)))
0.1b	(* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)))
0.4b	(* (* w r) (* w r))
0.8b	(/ 2 (* r r))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

264×	`times-frac`
191×	`add-sqr-sqrt`
185×	`*-un-lft-identity`
122×	`add-cube-cbrt`
95×	`add-cbrt-cube` `add-exp-log`
72×	`associate-l`
61×	`pow1`
48×	`prod-exp` `cbrt-unprod`
42×	`difference-of-squares`
30×	`pow-prod-down`
23×	`associate-/r*`
21×	`distribute-lft-out--`
20×	`cbrt-undiv` `div-exp`
10×	`div-inv`
6×	`associate-/l*`
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/`

Counts

4 → 292

Calls

4 calls:

20.0ms	(/ 0.125 (/ (- 1 v) (fma -2 v 3)))
156.0ms	(* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)))
33.0ms	(* (* w r) (* w r))
9.0ms	(/ 2 (* r r))

series260.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ 0.125 (/ (- 1 v) (fma -2 v 3)))
105.0ms	(* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)))
37.0ms	(* (* w r) (* w r))
52.0ms	(/ 2 (* r r))

simplify1.6s

Counts

304 → 304

Iterations

Iter	Nodes
done	2003
2	2003
1	1309
0	424

prune2.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* w r) (* w r))
0.8b	(/ 2 (* r r))
12.9b	(sqrt (* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r))))
12.9b	(sqrt (* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r))))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

81×	`pow1`
43×	`pow-prod-down`
21×	`add-cbrt-cube` `add-exp-log`
12×	`sqrt-pow1`
9×	`prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `pow-plus` `pow1/2` `sqrt-div` `div-exp` `associate-*l/` `sqrt-prod`
1×	`pow2` `clear-num` `associate-/r` `frac-2neg` `swap-sqr` `associate-r` `associate-l` `-commutative` `div-inv`

Counts

4 → 99

Calls

4 calls:

38.0ms	(* (* w r) (* w r))
13.0ms	(/ 2 (* r r))
124.0ms	(sqrt (* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r))))
99.0ms	(sqrt (* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r))))

series1.7s

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* w r) (* w r))
32.0ms	(/ 2 (* r r))
838.0ms	(sqrt (* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r))))
763.0ms	(sqrt (* (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r))))

simplify1.8s

Counts

111 → 111

Iterations

Iter	Nodes
done	2026
3	2026
2	1353
1	355
0	133

prune787.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 0.125 (/ (- 1 v) (fma -2 v 3)))
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))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

213×	`times-frac`
145×	`add-sqr-sqrt` `*-un-lft-identity`
109×	`add-cube-cbrt`
43×	`pow1`
26×	`add-cbrt-cube` `add-exp-log`
25×	`associate-/r*`
24×	`difference-of-squares`
17×	`pow-prod-down`
16×	`associate-/l*`
12×	`distribute-lft-out--`
10×	`div-inv`
8×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-plus`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `fma-udef` `associate-/l/`

Counts

4 → 230

Calls

4 calls:

21.0ms	(/ 0.125 (/ (- 1 v) (fma -2 v 3)))
1.0ms	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
22.0ms	(/ (/ 2 r) r)
48.0ms	(* (* w r) (* w r))

series288.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ 0.125 (/ (- 1 v) (fma -2 v 3)))
126.0ms	(fma (/ 0.125 (/ (- 1 v) (fma -2 v 3))) (* (* w r) (* w r)) 4.5)
41.0ms	(/ (/ 2 r) r)
57.0ms	(* (* w r) (* w r))

simplify1.4s

Counts

242 → 242

Iterations

Iter	Nodes
done	2002
2	2002
1	1043
0	421

prune1.8s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes344.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	29
1	29
0	23

end0.0ms

sample5.5s

Algorithm

intervals

Results

4.8s

16908×

body

valid