Details

sample84.0ms

Algorithm

intervals

Results

44.0ms	385×	body	80	valid
18.0ms	123×	body	80	nan

simplify315.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

314.0ms

(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize38.0ms

Local error

Found 4 expressions with local error:

1.7b	(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))
0.0b	(* (pow k m) a)
0.0b	(* k (+ k 10))
0.0b	(+ (* k (+ k 10)) 1)

rewrite87.0ms

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` `insert-posit16` `unswap-sqr`
3×	`associate-/r*` `flip3-+` `times-frac` `cbrt-unprod` `flip-+`
2×	`distribute-rgt-in` `pow-to-exp` `cbrt-undiv` `associate-+l+` `distribute-lft-in` `pow-exp` `associate-r/` `associate-/r/` `-commutative` `sqr-pow`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 90

Calls

4 calls:

Slowest

46.0ms	(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))
17.0ms	(* (pow k m) a)
14.0ms	(* k (+ k 10))
8.0ms	(+ (* k (+ k 10)) 1)

series336.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

148.0ms	(* (pow k m) a)
115.0ms	(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))
54.0ms	(* k (+ k 10))
19.0ms	(+ (* k (+ k 10)) 1)

simplify15.3s

Counts

111 → 102

Calls

111 calls:

Slowest

971.0ms	(* (* (/ (* (pow k m) a) (+ (* k (+ k 10)) 1)) (/ (* (pow k m) a) (+ (* k (+ k 10)) 1))) (/ (* (pow k m) a) (+ (* k (+ k 10)) 1)))
781.0ms	(+ (pow (* k (+ k 10)) 3) (pow 1 3))
655.0ms	(/ (* (pow k m) a) (sqrt (+ (* k (+ k 10)) 1)))
528.0ms	(/ (* (* (* (pow k m) a) (* (pow k m) a)) (* (pow k m) a)) (* (* (+ (* k (+ k 10)) 1) (+ (* k (+ k 10)) 1)) (+ (* k (+ k 10)) 1)))
504.0ms	(/ (* (* (* (pow k m) (pow k m)) (pow k m)) (* (* a a) a)) (* (* (+ (* k (+ k 10)) 1) (+ (* k (+ k 10)) 1)) (+ (* k (+ k 10)) 1)))

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

1.7b	(/ (* (pow (* (cbrt k) (cbrt k)) m) (* (pow (cbrt k) m) a)) (+ (* k (+ k 10)) 1))
0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-exp-log`
32×	`prod-exp`
17×	`div-exp`
13×	`add-cbrt-cube`
12×	`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 → 76

Calls

4 calls:

Slowest

58.0ms	(/ (* (pow (* (cbrt k) (cbrt k)) m) (* (pow (cbrt k) m) a)) (+ (* k (+ k 10)) 1))
1.0ms	(cbrt k)
1.0ms	(cbrt k)
1.0ms	(cbrt k)

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

461.0ms	(/ (* (pow (* (cbrt k) (cbrt k)) m) (* (pow (cbrt k) m) a)) (+ (* k (+ k 10)) 1))
293.0ms	(cbrt k)
287.0ms	(cbrt k)
241.0ms	(cbrt k)

simplify17.9s

Counts

98 → 88

Calls

98 calls:

Slowest

1.3s	(/ (* (* (* (pow (* (cbrt k) (cbrt k)) m) (* (pow (cbrt k) m) a)) (* (pow (* (cbrt k) (cbrt k)) m) (* (pow (cbrt k) m) a))) (* (pow (* (cbrt k) (cbrt k)) m) (* (pow (cbrt k) m) a))) (* (* (+ (* k (+ k 10)) 1) (+ (* k (+ k 10)) 1)) (+ (* k (+ k 10)) 1)))
1.1s	(/ (* (* (* (pow (* (cbrt k) (cbrt k)) m) (pow (* (cbrt k) (cbrt k)) m)) (pow (* (cbrt k) (cbrt k)) m)) (* (* (* (pow (cbrt k) m) (pow (cbrt k) m)) (pow (cbrt k) m)) (* (* a a) a))) (* (* (+ (* k (+ k 10)) 1) (+ (* k (+ k 10)) 1)) (+ (* k (+ k 10)) 1)))
1.0s	(/ (* (* (* (pow (* (cbrt k) (cbrt k)) m) (pow (* (cbrt k) (cbrt k)) m)) (pow (* (cbrt k) (cbrt k)) m)) (* (* (* (pow (cbrt k) m) a) (* (pow (cbrt k) m) a)) (* (pow (cbrt k) m) a))) (* (* (+ (* k (+ k 10)) 1) (+ (* k (+ k 10)) 1)) (+ (* k (+ k 10)) 1)))
813.0ms	(- (+ (* 99 (/ (* (exp (* (log (* (pow (cbrt -1) 2) (pow (pow k 2) 1/3))) m)) (* a (exp (* (log (* (pow (* k -1) 1/3) (cbrt -1))) m)))) (pow k 4))) (/ (* (exp (* (log (* (pow (cbrt -1) 2) (pow (pow k 2) 1/3))) m)) (* a (exp (* (log (* (pow (* k -1) 1/3) (cbrt -1))) m)))) (pow k 2))) (* 10 (/ (* (exp (* (log (* (pow (cbrt -1) 2) (pow (pow k 2) 1/3))) m)) (* a (exp (* (log (* (pow (* k -1) 1/3) (cbrt -1))) m)))) (pow k 3))))
796.0ms	(/ (* (pow (* (cbrt k) (cbrt k)) m) (* (pow (cbrt k) m) a)) 1)

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

15.0b	(sqrt (+ (* k (+ k 10)) 1))
15.0b	(sqrt (+ (* k (+ k 10)) 1))
0.6b	(cbrt k)
0.6b	(cbrt k)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `pow1` `sqrt-prod`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `flip-+`

Counts

4 → 56

Calls

4 calls:

Slowest

18.0ms	(sqrt (+ (* k (+ k 10)) 1))
11.0ms	(sqrt (+ (* k (+ k 10)) 1))
1.0ms	(cbrt k)
1.0ms	(cbrt k)

series649.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

296.0ms	(cbrt k)
281.0ms	(cbrt k)
42.0ms	(sqrt (+ (* k (+ k 10)) 1))
30.0ms	(sqrt (+ (* k (+ k 10)) 1))

simplify5.0s

Counts

78 → 68

Calls

78 calls:

Slowest

689.0ms	(sqrt (+ (pow (* k (+ k 10)) 3) (pow 1 3)))
592.0ms	(sqrt (+ (pow (* k (+ k 10)) 3) (pow 1 3)))
288.0ms	(sqrt (- (* (* k (+ k 10)) (* k (+ k 10))) (* 1 1)))
256.0ms	(* (* (sqrt (+ (* k (+ k 10)) 1)) (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))
220.0ms	(* (* (sqrt (+ (* k (+ k 10)) 1)) (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

15.0b	(sqrt (+ (* k (+ k 10)) 1))
15.0b	(sqrt (+ (* k (+ k 10)) 1))
15.0b	(sqrt (+ (* k (+ k 10)) 1))
0.6b	(cbrt k)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`sqrt-div`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
1×	`pow1/3`

Counts

4 → 60

Calls

4 calls:

Slowest

15.0ms	(sqrt (+ (* k (+ k 10)) 1))
14.0ms	(sqrt (+ (* k (+ k 10)) 1))
10.0ms	(sqrt (+ (* k (+ k 10)) 1))
1.0ms	(cbrt k)

series420.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

293.0ms	(cbrt k)
52.0ms	(sqrt (+ (* k (+ k 10)) 1))
44.0ms	(sqrt (+ (* k (+ k 10)) 1))
31.0ms	(sqrt (+ (* k (+ k 10)) 1))

simplify7.0s

Counts

83 → 72

Calls

83 calls:

Slowest

649.0ms	(sqrt (+ (pow (* k (+ k 10)) 3) (pow 1 3)))
630.0ms	(sqrt (+ (pow (* k (+ k 10)) 3) (pow 1 3)))
553.0ms	(sqrt (+ (pow (* k (+ k 10)) 3) (pow 1 3)))
286.0ms	(* (* (sqrt (+ (* k (+ k 10)) 1)) (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))
284.0ms	(sqrt (- (* (* k (+ k 10)) (* k (+ k 10))) (* 1 1)))

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes163.0ms

Accuracy

98.7% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 2.0b

bsearch127.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.6s	11938×	body	80	valid
956.0ms	4192×	body	80	nan