Details

sample68.0ms

Algorithm

intervals

Results

36.0ms	395×	body	80	valid
9.0ms	110×	body	80	nan

simplify2.8s

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (* 10 k))
0.0b	(+ (+ 1 (* 10 k)) (* k k))
0.0b	(* a (pow k m))
1.2b	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))

rewrite91.0ms

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:

5.0ms	(+ 1 (* 10 k))
36.0ms	(+ (+ 1 (* 10 k)) (* k k))
16.0ms	(* a (pow k m))
31.0ms	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ 1 (* 10 k))
21.0ms	(+ (+ 1 (* 10 k)) (* k k))
64.0ms	(* a (pow k m))
130.0ms	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))

simplify1.5s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	1681
1	480
0	177

prune537.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt k)
0.5b	(cbrt k)
0.5b	(cbrt k)
1.2b	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1 (* 10 k)) (* k k)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
30×	`prod-exp`
16×	`div-exp`
13×	`add-cbrt-cube`
11×	`pow-exp`
9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`pow-to-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `times-frac` `pow1/3` `cbrt-unprod`
2×	`associate-/r/`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 83

Calls

4 calls:

2.0ms	(cbrt k)
2.0ms	(cbrt k)
2.0ms	(cbrt k)
81.0ms	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1 (* 10 k)) (* k k)))

series1.4s

Counts

4 → 12

Calls

4 calls:

344.0ms	(cbrt k)
272.0ms	(cbrt k)
305.0ms	(cbrt k)
510.0ms	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1 (* 10 k)) (* k k)))

simplify2.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5003
2	1975
1	493
0	174

prune480.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt k)
0.5b	(cbrt k)
0.5b	(cbrt k)
1.2b	(/ (* a (pow (* (cbrt k) (cbrt k)) m)) (/ (fma k k (fma 10 k 1)) (pow (cbrt k) m)))

rewrite367.0ms

Algorithm

rewrite-expression-head

Rules

94×	`times-frac`
70×	`add-exp-log`
47×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
36×	`unpow-prod-down`
35×	`div-exp`
34×	`associate-/r*`
27×	`cbrt-prod`
20×	`prod-exp`
16×	`add-cbrt-cube`
13×	`pow-exp`
9×	`pow-to-exp`
6×	`cbrt-undiv` `sqr-pow`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`cbrt-unprod`
1×	`clear-num` `frac-2neg` `associate-/r/` `associate-/l*`

Counts

4 → 149

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
1.0ms	(cbrt k)
353.0ms	(/ (* a (pow (* (cbrt k) (cbrt k)) m)) (/ (fma k k (fma 10 k 1)) (pow (cbrt k) m)))

series1.4s

Counts

4 → 12

Calls

4 calls:

295.0ms	(cbrt k)
321.0ms	(cbrt k)
291.0ms	(cbrt k)
501.0ms	(/ (* a (pow (* (cbrt k) (cbrt k)) m)) (/ (fma k k (fma 10 k 1)) (pow (cbrt k) m)))

simplify3.0s

Counts

161 → 161

Iterations

Iter	Nodes
done	5153
2	2831
1	834
0	306

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 1 (* 10 k)) (* k k))
0.0b	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1 (* 10 k)) (* k k)))) (sqrt (+ (+ 1 (* 10 k)) (* k k))))
12.6b	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
12.6b	(sqrt (+ (+ 1 (* 10 k)) (* k k)))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`sqrt-prod`
58×	`add-sqr-sqrt`
54×	`*-un-lft-identity` `add-cube-cbrt`
20×	`sqrt-div` `add-exp-log`
16×	`associate-/r/`
13×	`add-cbrt-cube`
12×	`associate-/l*`
11×	`flip3-+` `flip-+`
9×	`div-exp` `add-log-exp`
8×	`div-inv`
6×	`pow1` `associate-/r*`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `fma-def` `prod-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `hypot-def`
1×	`pow-to-exp` `+-commutative` `associate-+l+` `clear-num` `frac-2neg` `pow-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 171

Calls

4 calls:

46.0ms	(+ (+ 1 (* 10 k)) (* k k))
124.0ms	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1 (* 10 k)) (* k k)))) (sqrt (+ (+ 1 (* 10 k)) (* k k))))
50.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
45.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (+ 1 (* 10 k)) (* k k))
171.0ms	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1 (* 10 k)) (* k k)))) (sqrt (+ (+ 1 (* 10 k)) (* k k))))
37.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
35.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))

simplify2.3s

Counts

183 → 183

Iterations

Iter	Nodes
done	5001
2	2603
1	716
0	276

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes223.0ms

Accuracy

97.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.9b

bsearch114.0ms

Steps

Iters	Range		Point
10	2.0729826645785407e+19	4.112685936513897e+35	7.485561233862986e+31

simplify11.0ms

Iterations

Iter	Nodes
done	38
1	38
0	32

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.6s	11926×	body	80	valid
481.0ms	4227×	body	80	nan