Details

sample97.0ms

Algorithm

intervals

Results

53.0ms	370×	body	80	valid
17.0ms	124×	body	80	nan

simplify1.8s

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize46.0ms

Local error

Found 4 expressions with local error:

2.7b	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))
0.0b	(* a (pow k m))
0.0b	(+ (+ 1 (* 10 k)) (* k k))
0.0b	(+ 1 (* 10 k))

rewrite59.0ms

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

24.0ms	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))
15.0ms	(+ (+ 1 (* 10 k)) (* k k))
10.0ms	(+ 1 (* 10 k))
8.0ms	(* a (pow k m))

series387.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

175.0ms	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))
110.0ms	(* a (pow k m))
69.0ms	(+ 1 (* 10 k))
33.0ms	(+ (+ 1 (* 10 k)) (* k k))

simplify553.0ms

Counts: 90 → 90

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.7b

localize65.0ms

Local error

Found 4 expressions with local error:

16.0b	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
16.0b	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
0.0b	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1 (* 10 k)) (* k k)))) (sqrt (+ (+ 1 (* 10 k)) (* k k))))
0.0b	(* a (pow k m))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`sqrt-prod`
63×	`add-sqr-sqrt`
56×	`*-un-lft-identity` `add-cube-cbrt`
25×	`add-exp-log`
20×	`sqrt-div`
16×	`associate-/r/`
15×	`add-cbrt-cube`
12×	`associate-/l*`
10×	`flip3-+` `flip-+`
9×	`div-exp`
8×	`div-inv`
7×	`associate-r`
6×	`pow1` `associate-/r*` `prod-exp`
5×	`cbrt-undiv`
4×	`unpow-prod-down` `insert-posit16` `add-log-exp`
3×	`associate-l` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp` `cbrt-unprod` `sqr-pow`
1×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`

Counts

4 → 170

Calls

4 calls:

Slowest

79.0ms	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1 (* 10 k)) (* k k)))) (sqrt (+ (+ 1 (* 10 k)) (* k k))))
22.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
14.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
8.0ms	(* a (pow k m))

series316.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

162.0ms	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1 (* 10 k)) (* k k)))) (sqrt (+ (+ 1 (* 10 k)) (* k k))))
68.0ms	(* a (pow k m))
47.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
37.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))

simplify1.1s

Counts: 182 → 182

prune2.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

16.0b	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
16.0b	(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	(+ (+ 1 (* 10 k)) (* k k))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

116×	`add-sqr-sqrt`
92×	`times-frac`
52×	`sqrt-prod`
48×	`associate-r`
46×	`*-un-lft-identity` `add-cube-cbrt`
28×	`add-exp-log`
24×	`unpow-prod-down` `associate-l`
21×	`unswap-sqr`
16×	`add-cbrt-cube`
12×	`sqr-pow`
10×	`div-exp`
9×	`add-log-exp`
8×	`pow1` `sqrt-div` `prod-exp`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `associate-/r/` `cbrt-unprod` `insert-posit16`
3×	`sum-log`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp` `div-inv`
1×	`frac-times` `+-commutative` `associate-+l+` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 164

Calls

4 calls:

Slowest

112.0ms	(* (/ a (sqrt (+ (+ 1 (* 10 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1 (* 10 k)) (* k k)))))
33.0ms	(+ (+ 1 (* 10 k)) (* k k))
20.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
14.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

144.0ms	(* (/ a (sqrt (+ (+ 1 (* 10 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1 (* 10 k)) (* k k)))))
50.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
34.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
20.0ms	(+ (+ 1 (* 10 k)) (* k k))

simplify1.2s

Counts: 176 → 176

prune2.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

16.0b	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
16.0b	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
16.0b	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
1.2b	(* (/ (/ a (sqrt (sqrt (+ (+ 1 (* 10 k)) (* k k))))) 1) (/ (/ (pow k m) (sqrt (sqrt (+ (+ 1 (* 10 k)) (* k k))))) (sqrt (+ (+ 1 (* 10 k)) (* k k)))))

rewrite390.0ms

Algorithm

rewrite-expression-head

Rules

1608×	`times-frac`
1356×	`add-sqr-sqrt`
1053×	`sqrt-prod`
561×	`*-un-lft-identity`
477×	`add-cube-cbrt`
420×	`associate-r`
216×	`unpow-prod-down`
189×	`unswap-sqr`
108×	`sqr-pow`
104×	`add-exp-log`
103×	`associate-l`
65×	`div-exp`
44×	`sqrt-div`
40×	`add-cbrt-cube`
25×	`prod-exp`
20×	`associate-/r/`
18×	`cbrt-undiv`
13×	`flip3-+` `flip-+`
11×	`div-inv`
10×	`1-exp`
9×	`pow1` `cbrt-unprod`
5×	`pow-to-exp` `pow-exp`
4×	`insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 807

Calls

4 calls:

Slowest

288.0ms	(* (/ (/ a (sqrt (sqrt (+ (+ 1 (* 10 k)) (* k k))))) 1) (/ (/ (pow k m) (sqrt (sqrt (+ (+ 1 (* 10 k)) (* k k))))) (sqrt (+ (+ 1 (* 10 k)) (* k k)))))
28.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
18.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
14.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

176.0ms	(* (/ (/ a (sqrt (sqrt (+ (+ 1 (* 10 k)) (* k k))))) 1) (/ (/ (pow k m) (sqrt (sqrt (+ (+ 1 (* 10 k)) (* k k))))) (sqrt (+ (+ 1 (* 10 k)) (* k k)))))
60.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
52.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))
52.0ms	(sqrt (+ (+ 1 (* 10 k)) (* k k)))

simplify3.7s

Counts: 819 → 819

prune16.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes290.0ms

Accuracy

98.4% (0.0b remaining)

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

bsearch55.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.7s	12017×	body	80	valid
587.0ms	4337×	body	80	nan