Details

sample157.0ms

Algorithm

intervals

Results

52.0ms	256×	body	80	valid
51.0ms	264×	body	80	nan

simplify1.0s

Counts

1 → 1

Iterations

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

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize69.0ms

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)))

rewrite61.0ms

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))
19.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
32.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
9.0ms	(/ (fma (* v v) -5 1) (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)))

series1.7s

Counts

4 → 12

Calls

4 calls:

492.0ms	(fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t))
266.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
282.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
658.0ms	(/ (fma (* v v) -5 1) (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)))

simplify1.6s

Counts

95 → 95

Iterations

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

prune1.4s

Pruning

11 alts after pruning (11 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))
0.2b	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
0.2b	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
0.3b	(/ (sqrt (fma (* v v) -5 1)) (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

0.0ms	(fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t))
23.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
31.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
5.0ms	(/ (sqrt (fma (* v v) -5 1)) (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)))

series2.0s

Counts

4 → 12

Calls

4 calls:

533.0ms	(fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t))
288.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
312.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
834.0ms	(/ (sqrt (fma (* v v) -5 1)) (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)))

simplify1.7s

Counts

107 → 107

Iterations

Iter	Nodes
done	2002
3	2002
2	1876
1	533
0	209

prune1.6s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
0.3b	(* 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))))
0.4b	(* (sqrt (fma 6 (* (- v) v) 2)) (* PI t))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

31.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
11.0ms	(* PI t)
8.0ms	(/ (fma (* v v) -5 1) (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (sqrt (fma 6 (* (- v) v) 2)) (* PI t))))
24.0ms	(* (sqrt (fma 6 (* (- v) v) 2)) (* PI t))

series1.1s

Counts

4 → 12

Calls

4 calls:

254.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
38.0ms	(* PI t)
569.0ms	(/ (fma (* v v) -5 1) (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (sqrt (fma 6 (* (- v) v) 2)) (* PI t))))
266.0ms	(* (sqrt (fma 6 (* (- v) v) 2)) (* PI t))

simplify1.6s

Counts

108 → 108

Iterations

Iter	Nodes
done	2002
3	2002
2	1940
1	527
0	210

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
0.3b	(* t PI)
0.3b	(/ (fma (* v v) -5 1) (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (sqrt (fma 6 (* (- v) v) 2)) (* t PI))))
0.4b	(* (sqrt (fma 6 (* (- v) v) 2)) (* t PI))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

38.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
11.0ms	(* t PI)
4.0ms	(/ (fma (* v v) -5 1) (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (sqrt (fma 6 (* (- v) v) 2)) (* t PI))))
16.0ms	(* (sqrt (fma 6 (* (- v) v) 2)) (* t PI))

series1.2s

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t)
35.0ms	(* t PI)
622.0ms	(/ (fma (* v v) -5 1) (fma (* (* (sqrt (fma 6 (* (- v) v) 2)) PI) t) (* (- v) v) (* (sqrt (fma 6 (* (- v) v) 2)) (* t PI))))
217.0ms	(* (sqrt (fma 6 (* (- v) v) 2)) (* t PI))

simplify1.7s

Counts

108 → 108

Iterations

Iter	Nodes
done	2001
3	2001
2	1988
1	543
0	212

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes259.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample3.9s

Algorithm

intervals

Results

2.0s	8000×	body	80	valid
1.5s	8080×	body	80	nan