Details

sample46.0ms

Algorithm

intervals

Results

18.0ms	370×	body	80	valid
6.0ms	135×	body	80	nan

simplify1.8s

Counts: 1 → 1

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* k (+ 10.0 k)) 1.0)
0.0b	(* k (+ 10.0 k))
0.2b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
2.0b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`times-frac`
39×	`*-un-lft-identity`
37×	`add-cube-cbrt`
30×	`associate-l`
22×	`unpow-prod-down`
21×	`add-exp-log`
13×	`add-cbrt-cube`
8×	`pow1` `sqr-pow`
7×	`associate-r` `associate-/l*`
6×	`div-exp` `add-log-exp`
5×	`prod-exp` `unswap-sqr`
4×	`flip3-+` `associate-/r/` `flip-+`
3×	`associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `associate-+l+` `distribute-lft-in` `associate-r/` `pow-prod-down` `pow-exp` `-commutative` `div-inv`
1×	`+-commutative` `frac-2neg` `associate-*l/` `clear-num` `sum-log` `distribute-lft-out`

Counts

4 → 133

Calls

4 calls:

12.0ms	(+ (* k (+ 10.0 k)) 1.0)
20.0ms	(* k (+ 10.0 k))
24.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
70.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series352.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* k (+ 10.0 k)) 1.0)
86.0ms	(* k (+ 10.0 k))
71.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
159.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify1.1s

Counts: 145 → 145

prune563.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.1b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
18×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cbrt-cube`
11×	`add-cube-cbrt`
10×	`associate-l`
7×	`associate-r` `prod-exp`
6×	`pow1` `add-log-exp`
4×	`unpow-prod-down` `div-exp` `unswap-sqr`
3×	`flip3-+` `times-frac` `associate-/r*` `cbrt-unprod` `flip-+`
2×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `associate-+l+` `distribute-lft-in` `associate-r/` `pow-exp` `associate-/r/` `-commutative` `sqr-pow`
1×	`+-commutative` `frac-2neg` `pow-prod-down` `clear-num` `sum-log` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 86

Calls

4 calls:

14.0ms	(+ (* k (+ 10.0 k)) 1.0)
12.0ms	(* (pow k m) a)
34.0ms	(* k (+ 10.0 k))
31.0ms	(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

series419.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* k (+ 10.0 k)) 1.0)
156.0ms	(* (pow k m) a)
86.0ms	(* k (+ 10.0 k))
157.0ms	(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

simplify1.1s

Counts: 98 → 98

prune439.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.0b	(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
14.9b	(sqrt (+ (* k (+ 10.0 k)) 1.0))
14.9b	(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`sqrt-prod`
59×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
55×	`add-cube-cbrt`
22×	`add-exp-log`
20×	`sqrt-div`
16×	`associate-/r/`
15×	`add-cbrt-cube`
12×	`associate-/l*`
11×	`flip3-+` `flip-+`
9×	`div-exp`
8×	`pow1` `div-inv`
6×	`associate-/r*`
5×	`cbrt-undiv`
4×	`associate-r` `prod-exp` `add-log-exp`
3×	`associate-l`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/` `cbrt-unprod`
1×	`distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `pow-prod-down` `pow-exp` `clear-num` `*-commutative` `associate-/l/` `distribute-lft-out` `unswap-sqr`

Counts

4 → 164

Calls

4 calls:

27.0ms	(* k (+ 10.0 k))
103.0ms	(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
24.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
16.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

series361.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* k (+ 10.0 k))
155.0ms	(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
61.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
80.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify1.5s

Counts: 176 → 176

prune776.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt k)
0.5b	(cbrt k)
0.5b	(cbrt k)
2.0b	(* (/ (pow (* (cbrt k) (cbrt k)) m) (/ (+ (* k (+ 10.0 k)) 1.0) (pow (cbrt k) m))) a)

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

347×	`times-frac`
189×	`add-sqr-sqrt`
175×	`associate-l`
143×	`add-cube-cbrt` `*-un-lft-identity`
135×	`unpow-prod-down`
62×	`add-exp-log`
57×	`cbrt-prod` `sqr-pow`
28×	`div-exp`
21×	`prod-exp`
16×	`unswap-sqr`
13×	`add-cbrt-cube`
12×	`pow-exp`
8×	`pow-to-exp`
6×	`pow1` `div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `associate-r` `cbrt-unprod`
1×	`pow-prod-down` `associate-l/` `associate-/r/` `-commutative`

Counts

4 → 257

Calls

4 calls:

2.0ms	(cbrt k)
2.0ms	(cbrt k)
2.0ms	(cbrt k)
200.0ms	(* (/ (pow (* (cbrt k) (cbrt k)) m) (/ (+ (* k (+ 10.0 k)) 1.0) (pow (cbrt k) m))) a)

series1.5s

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt k)
329.0ms	(cbrt k)
287.0ms	(cbrt k)
544.0ms	(* (/ (pow (* (cbrt k) (cbrt k)) m) (/ (+ (* k (+ 10.0 k)) 1.0) (pow (cbrt k) m))) a)

simplify1.8s

Counts: 269 → 269

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

96.4% (0.1b remaining)

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

bsearch71.0ms

Steps

Iters	Range		Point
7	621006482634153.0	37438527651441256.0	3.130344820747544e+16

simplify1.1s

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	11987×	body	80	valid
719.0ms	4227×	body	80	nan