Details

sample82.0ms

Algorithm

intervals

Results

30.0ms	256×	body	80	valid
27.0ms	251×	body	80	nan

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	4926
3	827
2	162
1	46
0	19

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5 (* v v))
0.2b	(* PI t)
0.3b	(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
0.4b	(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*r/`
16×	`pow1`
13×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`flip3--` `sqrt-div` `associate-r` `associate-/r/` `flip--`
7×	`associate-l` `pow-prod-down`
4×	`frac-times` `cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`associate-*l/` `unswap-sqr` `associate-/l/`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-sub` `sqrt-prod` `div-inv`

Counts

4 → 98

Calls

4 calls:

19.0ms	(* 5 (* v v))
7.0ms	(* PI t)
170.0ms	(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
71.0ms	(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

series904.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 5 (* v v))
39.0ms	(* PI t)
570.0ms	(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
263.0ms	(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify2.8s

Counts

110 → 110

Iterations

Iter	Nodes
done	5076
2	3360
1	717
0	233

prune642.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* v v) 3)
0.2b	(* PI t)
0.3b	(/ (- 1 (* (* 5 v) v)) (* PI t))
0.4b	(/ (/ (- 1 (* (* 5 v) v)) (* PI t)) (sqrt (* 2 (- 1 (* (* v v) 3)))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

46×	`times-frac`
30×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `add-cube-cbrt`
25×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
10×	`associate-/l*`
8×	`sqrt-prod`
7×	`cbrt-undiv` `div-exp` `div-inv`
6×	`associate-r` `prod-exp` `cbrt-unprod`
5×	`associate-/r*`
4×	`associate-l` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`clear-num` `frac-2neg` `flip3--` `sqrt-div` `associate-r/` `associate-/r/` `-commutative` `flip--` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

37.0ms	(* (* v v) 3)
13.0ms	(* PI t)
25.0ms	(/ (- 1 (* (* 5 v) v)) (* PI t))
45.0ms	(/ (/ (- 1 (* (* 5 v) v)) (* PI t)) (sqrt (* 2 (- 1 (* (* v v) 3)))))

series758.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* v v) 3)
47.0ms	(* PI t)
121.0ms	(/ (- 1 (* (* 5 v) v)) (* PI t))
541.0ms	(/ (/ (- 1 (* (* 5 v) v)) (* PI t)) (sqrt (* 2 (- 1 (* (* v v) 3)))))

simplify2.1s

Counts

136 → 136

Iterations

Iter	Nodes
done	5006
2	2797
1	702
0	264

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* v v) (* v v))
0.2b	(* (* v v) 3)
0.4b	(/ (/ (- 1 (* (* 5 v) v)) PI) t)
0.4b	(/ (/ (/ (- 1 (* (* 5 v) v)) PI) t) (sqrt (* 2 (- 1 (* (* v v) 3)))))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

577×	`times-frac`
267×	`add-sqr-sqrt`
266×	`*-un-lft-identity` `add-cube-cbrt`
120×	`pow1`
56×	`associate-/l*`
44×	`sqrt-prod`
36×	`pow-prod-up`
35×	`add-cbrt-cube` `add-exp-log`
26×	`pow-prod-down` `div-inv`
22×	`pow-sqr`
18×	`pow-plus`
13×	`pow2`
11×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
7×	`associate-/r*`
5×	`div-sub`
4×	`associate-r` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `sqrt-div` `associate-l` `associate-r/` `associate-/r/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`flip3--` `swap-sqr` `flip--`

Counts

4 → 396

Calls

4 calls:

55.0ms	(* (* v v) (* v v))
37.0ms	(* (* v v) 3)
37.0ms	(/ (/ (- 1 (* (* 5 v) v)) PI) t)
72.0ms	(/ (/ (/ (- 1 (* (* 5 v) v)) PI) t) (sqrt (* 2 (- 1 (* (* v v) 3)))))

series709.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* v v) (* v v))
40.0ms	(* (* v v) 3)
106.0ms	(/ (/ (- 1 (* (* 5 v) v)) PI) t)
520.0ms	(/ (/ (/ (- 1 (* (* 5 v) v)) PI) t) (sqrt (* 2 (- 1 (* (* v v) 3)))))

simplify2.9s

Counts

408 → 408

Iterations

Iter	Nodes
done	5001
2	4492
1	1572
0	673

prune3.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* v v) (* v v))
0.1b	(* (* v v) (* v v))
0.2b	(* (* v v) 3)
0.3b	(* (/ (/ (sqrt (- 1 (* (* 5 v) v))) PI) (sqrt 2)) (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (sqrt (- 1 (* (* v v) 3)))))

rewrite538.0ms

Algorithm

rewrite-expression-head

Rules

620×	`times-frac`
490×	`add-sqr-sqrt`
310×	`sqrt-prod`
251×	`*-un-lft-identity` `add-cube-cbrt`
233×	`pow1`
143×	`associate-r`
139×	`associate-l`
72×	`pow-prod-up`
69×	`add-cbrt-cube` `add-exp-log`
52×	`unswap-sqr`
50×	`pow-prod-down`
44×	`pow-sqr`
36×	`pow-plus`
28×	`prod-exp` `cbrt-unprod`
26×	`pow2`
18×	`cbrt-undiv` `div-exp`
14×	`div-inv`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`sqrt-div` `swap-sqr` `associate-/r/`
1×	`frac-times` `flip3--` `associate-l/` `associate-r/` `flip--`

Counts

4 → 502

Calls

4 calls:

32.0ms	(* (* v v) (* v v))
32.0ms	(* (* v v) (* v v))
21.0ms	(* (* v v) 3)
421.0ms	(* (/ (/ (sqrt (- 1 (* (* 5 v) v))) PI) (sqrt 2)) (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (sqrt (- 1 (* (* v v) 3)))))

series626.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* v v) (* v v))
43.0ms	(* (* v v) (* v v))
30.0ms	(* (* v v) 3)
518.0ms	(* (/ (/ (sqrt (- 1 (* (* 5 v) v))) PI) (sqrt 2)) (/ (/ (sqrt (- 1 (* (* 5 v) v))) t) (sqrt (- 1 (* (* v v) 3)))))

simplify2.1s

Counts

514 → 514

Iterations

Iter	Nodes
done	5000
1	2007
0	589

prune2.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes138.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	41
1	41
0	30

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.5s	8000×	body	80	valid
920.0ms	7972×	body	80	nan