Details

sample104.0ms

Algorithm

intervals

Results

46.0ms	256×	body	80	valid
39.0ms	226×	body	80	nan

simplify729.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
3	827
2	162
1	46
0	19

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5 (* v v))
0.2b	(* PI t)
0.3b	(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
0.5b	(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

rewrite219.0ms

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:

27.0ms	(* 5 (* v v))
11.0ms	(* PI t)
124.0ms	(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
55.0ms	(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

series924.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* 5 (* v v))
34.0ms	(* PI t)
583.0ms	(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
259.0ms	(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify658.0ms

Counts

110 → 110

Iterations

Iter	Nodes
done	2003
1	717
0	233

prune606.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* v v) 5)
0.2b	(* PI t)
0.3b	(/ (- 1 (* (* v v) 5)) (* PI t))
0.4b	(/ (/ (- 1 (* (* v v) 5)) (* PI t)) (sqrt (* 2 (- 1 (* (* v v) 3)))))

rewrite71.0ms

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:

14.0ms	(* (* v v) 5)
9.0ms	(* PI t)
20.0ms	(/ (- 1 (* (* v v) 5)) (* PI t))
27.0ms	(/ (/ (- 1 (* (* v v) 5)) (* PI t)) (sqrt (* 2 (- 1 (* (* v v) 3)))))

series645.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* v v) 5)
25.0ms	(* PI t)
107.0ms	(/ (- 1 (* (* v v) 5)) (* PI t))
465.0ms	(/ (/ (- 1 (* (* v v) 5)) (* PI t)) (sqrt (* 2 (- 1 (* (* v v) 3)))))

simplify740.0ms

Counts

136 → 136

Iterations

Iter	Nodes
done	2000
1	707
0	263

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

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:

22.0ms	(* (* v v) (* v v))
29.0ms	(* (* v v) 5)
18.0ms	(/ (/ (- 1 (* (* v v) 5)) PI) t)
20.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) PI) t) (sqrt (* 2 (- 1 (* (* v v) 3)))))

series700.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* v v) (* v v))
32.0ms	(* (* v v) 5)
109.0ms	(/ (/ (- 1 (* (* v v) 5)) PI) t)
522.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) PI) t) (sqrt (* 2 (- 1 (* (* v v) 3)))))

simplify1.2s

Counts

408 → 408

Iterations

Iter	Nodes
done	2001
1	1592
0	673

prune3.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize107.0ms

Local error

Found 4 expressions with local error:

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

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

122×	`pow1`
36×	`pow-prod-up`
35×	`add-cbrt-cube` `add-exp-log`
31×	`times-frac`
27×	`pow-prod-down`
24×	`add-sqr-sqrt`
22×	`pow-sqr`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`pow-plus`
14×	`prod-exp` `cbrt-unprod`
13×	`pow2` `associate-/l*`
7×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-l`
4×	`sqrt-div` `associate-l/` `associate-r/` `insert-posit16` `add-log-exp`
3×	`*-commutative` `div-inv` `unswap-sqr`
2×	`flip3--` `div-sub` `associate-/r/` `flip--`
1×	`clear-num` `associate-/r*` `frac-2neg` `swap-sqr` `sqrt-prod` `associate-/l/`

Counts

4 → 156

Calls

4 calls:

23.0ms	(* (* v v) (* v v))
29.0ms	(* (* v v) 5)
61.0ms	(/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v v) 3)))) t))
51.0ms	(* (sqrt (* 2 (- 1 (* (* v v) 3)))) t)

series1.3s

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* v v) (* v v))
44.0ms	(* (* v v) 5)
856.0ms	(/ (/ (- 1 (* (* v v) 5)) PI) (* (sqrt (* 2 (- 1 (* (* v v) 3)))) t))
314.0ms	(* (sqrt (* 2 (- 1 (* (* v v) 3)))) t)

simplify761.0ms

Counts

168 → 168

Iterations

Iter	Nodes
done	2001
1	805
0	287

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	36
1	36
0	26

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.2s	8000×	body	80	valid
1.5s	7874×	body	80	nan