Details

sample121.0ms

Algorithm

intervals

Results

57.0ms	256×	body	80	valid
41.0ms	250×	body	80	nan

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2009
4	2009
3	849
2	162
1	46
0	19

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t))
0.2b	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
0.2b	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
0.3b	(/ (fma (* v v) -5 1) (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`associate-l` `*-commutative`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

4 → 83

Calls

4 calls:

0.0ms	(fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t))
21.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
26.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
4.0ms	(/ (fma (* v v) -5 1) (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)))

series1.5s

Counts

4 → 12

Calls

4 calls:

414.0ms	(fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t))
256.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
253.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
589.0ms	(/ (fma (* v v) -5 1) (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)))

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	2005
3	2005
2	1886
1	494
0	188

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)) (fma (* v v) -5 1))
0.2b	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
0.2b	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
0.2b	(/ 1 (/ (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)) (fma (* v v) -5 1)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
56×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`add-exp-log`
21×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`pow1`
8×	`div-exp`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-l` `*-commutative`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 151

Calls

4 calls:

4.0ms	(/ (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)) (fma (* v v) -5 1))
24.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
45.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
13.0ms	(/ 1 (/ (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)) (fma (* v v) -5 1)))

series1.9s

Counts

4 → 12

Calls

4 calls:

648.0ms	(/ (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)) (fma (* v v) -5 1))
293.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
278.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
718.0ms	(/ 1 (/ (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)) (fma (* v v) -5 1)))

simplify1.3s

Counts

163 → 163

Iterations

Iter	Nodes
done	2003
2	2003
1	793
0	297

prune2.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize147.0ms

Local error

Found 4 expressions with local error:

4.1b	(/ (* 12 (* (* v v) (* v v))) (* (* 2 (sqrt 2)) (* PI t)))
4.1b	(/ (* (* v v) (* v v)) (* (sqrt 2) (* PI t)))
9.0b	(/ (* v v) (* (* 2 (sqrt 2)) (* PI t)))
9.0b	(/ (* v v) (* (sqrt 2) (* PI t)))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

308×	`add-cbrt-cube` `add-exp-log`
182×	`prod-exp` `cbrt-unprod`
61×	`cbrt-undiv` `div-exp`
4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `clear-num` `associate-/r` `frac-2neg` `-un-lft-identity` `times-frac` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

4 → 186

Calls

4 calls:

108.0ms	(/ (* 12 (* (* v v) (* v v))) (* (* 2 (sqrt 2)) (* PI t)))
53.0ms	(/ (* (* v v) (* v v)) (* (sqrt 2) (* PI t)))
37.0ms	(/ (* v v) (* (* 2 (sqrt 2)) (* PI t)))
29.0ms	(/ (* v v) (* (sqrt 2) (* PI t)))

series719.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(/ (* 12 (* (* v v) (* v v))) (* (* 2 (sqrt 2)) (* PI t)))
185.0ms	(/ (* (* v v) (* v v)) (* (sqrt 2) (* PI t)))
153.0ms	(/ (* v v) (* (* 2 (sqrt 2)) (* PI t)))
188.0ms	(/ (* v v) (* (sqrt 2) (* PI t)))

simplify1.1s

Counts

198 → 198

Iterations

Iter	Nodes
done	2024
2	2024
1	1052
0	288

prune5.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize130.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (/ 27/2 (* (pow (sqrt 2) 5) t)) (/ (* (* v v) (* v v)) PI))
4.1b	(* (/ 12 (* t (* (sqrt 2) 2))) (/ (* (* v v) (* v v)) PI))
9.1b	(/ (* 4 (* v v)) t)
9.1b	(/ (* (* v v) 3) (* t (* (sqrt 2) 2)))

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

346×	`add-exp-log`
278×	`add-cbrt-cube`
183×	`prod-exp`
143×	`cbrt-unprod`
99×	`div-exp`
77×	`cbrt-undiv`
22×	`add-sqr-sqrt`
18×	`times-frac`
14×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
8×	`pow1`
6×	`pow-to-exp` `pow-exp` `div-inv`
4×	`expm1-log1p-u` `associate-/r*` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `-commutative` `associate-/l`

Counts

4 → 218

Calls

4 calls:

71.0ms	(* (/ 27/2 (* (pow (sqrt 2) 5) t)) (/ (* (* v v) (* v v)) PI))
169.0ms	(* (/ 12 (* t (* (sqrt 2) 2))) (/ (* (* v v) (* v v)) PI))
32.0ms	(/ (* 4 (* v v)) t)
36.0ms	(/ (* (* v v) 3) (* t (* (sqrt 2) 2)))

series886.0ms

Counts

4 → 12

Calls

4 calls:

455.0ms	(* (/ 27/2 (* (pow (sqrt 2) 5) t)) (/ (* (* v v) (* v v)) PI))
266.0ms	(* (/ 12 (* t (* (sqrt 2) 2))) (/ (* (* v v) (* v v)) PI))
44.0ms	(/ (* 4 (* v v)) t)
120.0ms	(/ (* (* v v) 3) (* t (* (sqrt 2) 2)))

simplify1.2s

Counts

230 → 230

Iterations

Iter	Nodes
done	2009
2	2009
1	1337
0	388

prune6.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes245.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.6s	8013×	body	80	nan
1.4s	8000×	body	80	valid