Details

sample48.0ms

Algorithm

intervals

Results

20.0ms	374×	body	80	valid
8.0ms	128×	body	80	nan

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	2347
5	652
4	213
3	94
2	50
1	24
0	12

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b	(* a (pow k m))
2.1b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite83.0ms

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` `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 → 88

Calls

4 calls:

4.0ms	(+ 1.0 (* 10.0 k))
20.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
19.0ms	(* a (pow k m))
38.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ 1.0 (* 10.0 k))
25.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
82.0ms	(* a (pow k m))
179.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify1.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5006
2	1656
1	482
0	177

prune682.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt k)
0.5b	(cbrt k)
0.5b	(cbrt k)
2.1b	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite46.0ms

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` `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 → 79

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
1.0ms	(cbrt k)
42.0ms	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series1.4s

Counts

4 → 12

Calls

4 calls:

268.0ms	(cbrt k)
256.0ms	(cbrt k)
300.0ms	(cbrt k)
580.0ms	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify2.6s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	2015
1	502
0	176

prune632.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (sqrt (pow k m)))
0.2b	(sqrt (pow k m))
0.2b	(sqrt (pow k m))
2.1b	(/ (* (* a (sqrt (pow k m))) (sqrt (pow k m))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
24×	`sqrt-prod`
15×	`add-cbrt-cube` `add-exp-log`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`unpow-prod-down`
10×	`associate-r`
6×	`pow1` `rem-sqrt-square` `sqr-pow`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-/r` `times-frac` `div-exp` `associate-l*`
2×	`sqrt-pow1` `pow1/2` `associate-/r/`
1×	`clear-num` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

4 → 99

Calls

4 calls:

24.0ms	(* a (sqrt (pow k m)))
5.0ms	(sqrt (pow k m))
5.0ms	(sqrt (pow k m))
49.0ms	(/ (* (* a (sqrt (pow k m))) (sqrt (pow k m))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series542.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* a (sqrt (pow k m)))
112.0ms	(sqrt (pow k m))
102.0ms	(sqrt (pow k m))
196.0ms	(/ (* (* a (sqrt (pow k m))) (sqrt (pow k m))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify1.7s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1699
1	474
0	183

prune855.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt k)
0.5b	(cbrt k)
0.5b	(cbrt k)
1.8b	(* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (fma k k (fma 10.0 k 1.0))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-exp-log`
40×	`prod-exp`
34×	`associate-r`
30×	`times-frac`
27×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`cbrt-prod` `unpow-prod-down`
16×	`add-cbrt-cube`
15×	`div-exp`
13×	`pow-exp`
9×	`pow-to-exp`
6×	`pow1` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `sqr-pow`
2×	`cbrt-undiv`
1×	`associate-l` `pow-prod-down` `associate-r/` `-commutative` `div-inv`

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
1.0ms	(cbrt k)
41.0ms	(* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (fma k k (fma 10.0 k 1.0))))

series1.5s

Counts

4 → 12

Calls

4 calls:

329.0ms	(cbrt k)
297.0ms	(cbrt k)
311.0ms	(cbrt k)
594.0ms	(* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (fma k k (fma 10.0 k 1.0))))

simplify2.9s

Counts

122 → 122

Iterations

Iter	Nodes
done	5018
2	2598
1	684
0	228

prune860.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes288.0ms

Accuracy

98.3% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.0b

bsearch60.0ms

Steps

Iters	Range		Point
5	1.0232594418313883e+154	2.1738833249169534e+154	1.2182474807550087e+154

simplify13.0ms

Iterations

Iter	Nodes
done	39
1	39
0	32

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.6s	11865×	body	80	valid
337.0ms	4149×	body	80	nan