Details

sample89.0ms

Algorithm

intervals

Results

53.0ms	374×	body	80	valid
14.0ms	122×	body	80	nan

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5006
6	2177
5	655
4	215
3	97
2	52
1	26
0	12

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 1 (* 10 k)) (* k k))
0.0b	(+ 1 (* 10 k))
0.0b	(* a (pow k m))
0.7b	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
16×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt` `add-log-exp`
7×	`associate-r`
6×	`fma-def` `prod-exp`
4×	`expm1-log1p-u` `pow1` `sum-log` `unpow-prod-down` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `flip3-+` `times-frac` `associate-l*` `flip-+` `unswap-sqr`
2×	`pow-to-exp` `cbrt-undiv` `+-commutative` `pow-exp` `associate-/r/` `cbrt-unprod` `sqr-pow`
1×	`associate-+l+` `clear-num` `frac-2neg` `-commutative` `div-inv` `associate-/l`

Counts

4 → 92

Calls

4 calls:

31.0ms	(+ (+ 1 (* 10 k)) (* k k))
9.0ms	(+ 1 (* 10 k))
19.0ms	(* a (pow k m))
50.0ms	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (+ 1 (* 10 k)) (* k k))
43.0ms	(+ 1 (* 10 k))
87.0ms	(* a (pow k m))
169.0ms	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))

simplify1.9s

Counts

104 → 104

Iterations

Iter	Nodes
done	5003
2	1689
1	480
0	177

prune517.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 1 (* 10 k)) (* k k))
0.0b	(+ 1 (* 10 k))
0.0b	(* (* a (sqrt (pow k m))) (sqrt (pow k m)))
0.7b	(/ (* (* a (sqrt (pow k m))) (sqrt (pow k m))) (+ (+ 1 (* 10 k)) (* k k)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
10×	`associate-r`
9×	`pow1`
7×	`sqrt-prod`
6×	`fma-def` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `sum-log` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-/r*` `unpow-prod-down` `flip3-+` `times-frac` `div-exp` `pow-prod-down` `flip-+`
2×	`+-commutative` `associate-/r/`
1×	`associate-+l+` `clear-num` `frac-2neg` `associate-l` `-commutative` `div-inv` `associate-/l` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

29.0ms	(+ (+ 1 (* 10 k)) (* k k))
8.0ms	(+ 1 (* 10 k))
42.0ms	(* (* a (sqrt (pow k m))) (sqrt (pow k m)))
59.0ms	(/ (* (* a (sqrt (pow k m))) (sqrt (pow k m))) (+ (+ 1 (* 10 k)) (* k k)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (+ 1 (* 10 k)) (* k k))
52.0ms	(+ 1 (* 10 k))
89.0ms	(* (* a (sqrt (pow k m))) (sqrt (pow k m)))
167.0ms	(/ (* (* a (sqrt (pow k m))) (sqrt (pow k m))) (+ (+ 1 (* 10 k)) (* k k)))

simplify1.7s

Counts

104 → 104

Iterations

Iter	Nodes
done	5002
2	2072
1	536
0	188

prune540.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (* 10 k))
0.0b	(* (cbrt (sqrt (pow k m))) (cbrt (sqrt (pow k m))))
0.0b	(* (* (* a (sqrt (pow k m))) (* (cbrt (sqrt (pow k m))) (cbrt (sqrt (pow k m))))) (cbrt (sqrt (pow k m))))
0.7b	(/ (* (* (* a (sqrt (pow k m))) (* (cbrt (sqrt (pow k m))) (cbrt (sqrt (pow k m))))) (cbrt (sqrt (pow k m)))) (+ (+ 1 (* 10 k)) (* k k)))

rewrite391.0ms

Algorithm

rewrite-expression-head

Rules

94×	`cbrt-prod`
71×	`add-sqr-sqrt`
67×	`sqrt-prod`
49×	`add-exp-log`
29×	`pow1` `add-cbrt-cube`
27×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
26×	`associate-r`
25×	`unpow-prod-down` `unswap-sqr`
15×	`swap-sqr` `pow-prod-down` `sqr-pow`
14×	`associate-l`
6×	`cbrt-undiv` `pow1/3` `div-exp` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `fma-def` `times-frac`
2×	`flip3-+` `associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+`
1×	`pow2` `+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-plus` `div-inv` `associate-/l*`

Counts

4 → 178

Calls

4 calls:

5.0ms	(+ 1 (* 10 k))
20.0ms	(* (cbrt (sqrt (pow k m))) (cbrt (sqrt (pow k m))))
191.0ms	(* (* (* a (sqrt (pow k m))) (* (cbrt (sqrt (pow k m))) (cbrt (sqrt (pow k m))))) (cbrt (sqrt (pow k m))))
172.0ms	(/ (* (* (* a (sqrt (pow k m))) (* (cbrt (sqrt (pow k m))) (cbrt (sqrt (pow k m))))) (cbrt (sqrt (pow k m)))) (+ (+ 1 (* 10 k)) (* k k)))

series348.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ 1 (* 10 k))
101.0ms	(* (cbrt (sqrt (pow k m))) (cbrt (sqrt (pow k m))))
68.0ms	(* (* (* a (sqrt (pow k m))) (* (cbrt (sqrt (pow k m))) (cbrt (sqrt (pow k m))))) (cbrt (sqrt (pow k m))))
137.0ms	(/ (* (* (* a (sqrt (pow k m))) (* (cbrt (sqrt (pow k m))) (cbrt (sqrt (pow k m))))) (cbrt (sqrt (pow k m)))) (+ (+ 1 (* 10 k)) (* k k)))

simplify2.1s

Counts

190 → 190

Iterations

Iter	Nodes
done	5003
2	2827
1	786
0	293

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* a (pow k m)) (sqrt (+ (+ 1 (* 10 k)) (* k k))))
0.0b	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1 (* 10 k)) (* k k)))) (sqrt (+ (+ 1 (* 10 k)) (* k k))))
11.0b	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
11.0b	(sqrt (+ (+ 1 (* 10 k)) (* k k)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

120×	`times-frac`
72×	`sqrt-prod`
61×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `add-cube-cbrt`
30×	`add-exp-log`
22×	`sqrt-div`
18×	`add-cbrt-cube` `associate-/r/`
13×	`div-exp` `associate-/l*`
12×	`associate-/r*`
11×	`flip3-+` `flip-+`
9×	`div-inv`
7×	`cbrt-undiv`
6×	`pow1` `prod-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-exp` `cbrt-unprod` `hypot-def`
1×	`associate-/l/`

Counts

4 → 186

Calls

4 calls:

29.0ms	(/ (* a (pow k m)) (sqrt (+ (+ 1 (* 10 k)) (* k k))))
81.0ms	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1 (* 10 k)) (* k k)))) (sqrt (+ (+ 1 (* 10 k)) (* k k))))
17.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
27.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))

series376.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(/ (* a (pow k m)) (sqrt (+ (+ 1 (* 10 k)) (* k k))))
132.0ms	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1 (* 10 k)) (* k k)))) (sqrt (+ (+ 1 (* 10 k)) (* k k))))
37.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
38.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))

simplify1.8s

Counts

198 → 198

Iterations

Iter	Nodes
done	5001
2	2470
1	724
0	280

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes145.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	21
1	21
0	14

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.8s	12055×	body	80	valid
578.0ms	4268×	body	80	nan