Details

sample102.0ms

Algorithm

intervals

Results

47.0ms	379×	body	80	valid
31.0ms	166×	body	80	nan

simplify1.4s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize36.0ms

Local error

Found 4 expressions with local error:

1.5b	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))
0.0b	(* a (pow k m))
0.0b	(+ 1 (* 10 k))
0.0b	(+ (+ 1 (* 10 k)) (* k k))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
14×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-log-exp`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`prod-exp`
4×	`pow1` `sum-log` `unpow-prod-down` `div-exp` `insert-posit16`
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 → 78

Calls

4 calls:

Slowest

29.0ms	(+ (+ 1 (* 10 k)) (* k k))
25.0ms	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))
8.0ms	(* a (pow k m))
4.0ms	(+ 1 (* 10 k))

series366.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

177.0ms	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))
91.0ms	(* a (pow k m))
64.0ms	(+ 1 (* 10 k))
32.0ms	(+ (+ 1 (* 10 k)) (* k k))

simplify3.1s

Counts: 90 → 90

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

1.5b	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1 (* 10 k)) (* k k)))
0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)

rewrite84.0ms

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×	`pow1` `insert-posit16` `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 → 75

Calls

4 calls:

Slowest

81.0ms	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1 (* 10 k)) (* k k)))
1.0ms	(cbrt k)
1.0ms	(cbrt k)
1.0ms	(cbrt k)

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

483.0ms	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1 (* 10 k)) (* k k)))
325.0ms	(cbrt k)
295.0ms	(cbrt k)
291.0ms	(cbrt k)

simplify913.0ms

Counts: 87 → 87

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

14.6b	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
14.6b	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
0.1b	(* (/ a (sqrt (+ (+ 1 (* 10 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1 (* 10 k)) (* k k)))))
0.0b	(/ (pow k m) (sqrt (+ (+ 1 (* 10 k)) (* k k))))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

146×	`add-sqr-sqrt`
134×	`times-frac`
76×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
48×	`associate-r`
45×	`unpow-prod-down`
33×	`add-exp-log`
24×	`associate-l`
21×	`unswap-sqr`
19×	`sqr-pow`
18×	`add-cbrt-cube`
13×	`div-exp`
10×	`sqrt-div`
8×	`pow1` `prod-exp`
7×	`associate-/l*`
6×	`associate-/r*` `associate-/r/`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 222

Calls

4 calls:

Slowest

121.0ms	(* (/ a (sqrt (+ (+ 1 (* 10 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1 (* 10 k)) (* k k)))))
20.0ms	(/ (pow k m) (sqrt (+ (+ 1 (* 10 k)) (* k k))))
14.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
14.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))

series399.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

168.0ms	(* (/ a (sqrt (+ (+ 1 (* 10 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1 (* 10 k)) (* k k)))))
120.0ms	(/ (pow k m) (sqrt (+ (+ 1 (* 10 k)) (* k k))))
64.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
46.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))

simplify1.4s

Counts: 234 → 234

prune3.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

14.6b	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
14.6b	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
14.6b	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
14.6b	(sqrt (+ (+ 1 (* 10 k)) (* k k)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

Slowest

29.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
29.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
28.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
14.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

47.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
47.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
45.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
33.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))

simplify911.0ms

Counts: 76 → 76

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes136.0ms

Accuracy

98.7% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 2.1b

bsearch122.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.2s	11938×	body	80	valid
590.0ms	4161×	body	80	nan