Details

sample76.0ms

Algorithm

intervals

Results

44.0ms	404×	body	80	valid
14.0ms	137×	body	80	nan

simplify1.4s

Counts: 1 → 1

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize35.0ms

Local error

Found 4 expressions with local error:

4.0b	(/ a (+ (* k (+ k 10)) 1))
0.0b	(* k (+ k 10))
0.0b	(+ (* k (+ k 10)) 1)
0.0b	(* (/ a (+ (* k (+ k 10)) 1)) (pow k m))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`times-frac` `add-exp-log`
18×	`associate-l`
13×	`add-cbrt-cube`
11×	`associate-r`
7×	`prod-exp` `unswap-sqr`
6×	`pow1` `add-log-exp`
5×	`unpow-prod-down`
4×	`flip3-+` `div-exp` `associate-/r/` `flip-+` `insert-posit16`
3×	`associate-/r` `cbrt-unprod` `associate-/l` `sqr-pow`
2×	`distribute-rgt-in` `pow-to-exp` `cbrt-undiv` `associate-+l+` `distribute-lft-in` `pow-exp` `associate-r/` `-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `associate-*l/` `distribute-lft-out`

Counts

4 → 114

Calls

4 calls:

Slowest

74.0ms	(* (/ a (+ (* k (+ k 10)) 1)) (pow k m))
29.0ms	(* k (+ k 10))
27.0ms	(/ a (+ (* k (+ k 10)) 1))
17.0ms	(+ (* k (+ k 10)) 1)

series343.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

162.0ms	(* (/ a (+ (* k (+ k 10)) 1)) (pow k m))
92.0ms	(/ a (+ (* k (+ k 10)) 1))
59.0ms	(* k (+ k 10))
29.0ms	(+ (* k (+ k 10)) 1)

simplify784.0ms

Counts: 126 → 126

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

4.0b	(/ a (+ (* k (+ k 10)) 1))
0.0b	(* k (+ k 10))
0.0b	(+ (* k (+ k 10)) 1)
0.0b	(* (/ a (+ (* k (+ k 10)) 1)) (pow k (/ m 2)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`times-frac` `add-exp-log`
18×	`associate-l`
13×	`add-cbrt-cube`
11×	`associate-r`
7×	`prod-exp` `unswap-sqr`
6×	`pow1` `add-log-exp`
5×	`unpow-prod-down`
4×	`flip3-+` `div-exp` `associate-/r/` `flip-+` `insert-posit16`
3×	`associate-/r` `cbrt-unprod` `associate-/l` `sqr-pow`
2×	`distribute-rgt-in` `pow-to-exp` `cbrt-undiv` `associate-+l+` `distribute-lft-in` `pow-exp` `associate-r/` `-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `associate-*l/` `distribute-lft-out`

Counts

4 → 114

Calls

4 calls:

Slowest

47.0ms	(* (/ a (+ (* k (+ k 10)) 1)) (pow k (/ m 2)))
23.0ms	(/ a (+ (* k (+ k 10)) 1))
14.0ms	(+ (* k (+ k 10)) 1)
12.0ms	(* k (+ k 10))

series341.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

161.0ms	(* (/ a (+ (* k (+ k 10)) 1)) (pow k (/ m 2)))
87.0ms	(* k (+ k 10))
62.0ms	(/ a (+ (* k (+ k 10)) 1))
31.0ms	(+ (* k (+ k 10)) 1)

simplify838.0ms

Counts: 126 → 126

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

4.0b	(/ a (+ (* k (+ k 10)) 1))
0.0b	(* k (+ k 10))
0.0b	(* (/ a (+ (* k (+ k 10)) 1)) (pow k (/ (/ m 2) 2)))
0.0b	(+ (* k (+ k 10)) 1)

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`times-frac` `add-exp-log`
18×	`associate-l`
13×	`add-cbrt-cube`
11×	`associate-r`
7×	`prod-exp` `unswap-sqr`
6×	`pow1` `add-log-exp`
5×	`unpow-prod-down`
4×	`flip3-+` `div-exp` `associate-/r/` `flip-+` `insert-posit16`
3×	`associate-/r` `cbrt-unprod` `associate-/l` `sqr-pow`
2×	`distribute-rgt-in` `pow-to-exp` `cbrt-undiv` `associate-+l+` `distribute-lft-in` `pow-exp` `associate-r/` `-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `associate-*l/` `distribute-lft-out`

Counts

4 → 114

Calls

4 calls:

Slowest

68.0ms	(* (/ a (+ (* k (+ k 10)) 1)) (pow k (/ (/ m 2) 2)))
27.0ms	(/ a (+ (* k (+ k 10)) 1))
25.0ms	(* k (+ k 10))
13.0ms	(+ (* k (+ k 10)) 1)

series333.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

178.0ms	(* (/ a (+ (* k (+ k 10)) 1)) (pow k (/ (/ m 2) 2)))
70.0ms	(* k (+ k 10))
60.0ms	(/ a (+ (* k (+ k 10)) 1))
25.0ms	(+ (* k (+ k 10)) 1)

simplify1.3s

Counts: 126 → 126

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.3b	(* a (/ (pow k m) (+ (* (+ 10 k) k) 1)))
0.2b	(/ (pow k m) (+ (* (+ 10 k) k) 1))
0.0b	(* (+ 10 k) k)
0.0b	(+ (* (+ 10 k) k) 1)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`times-frac`
39×	`*-un-lft-identity`
37×	`add-cube-cbrt`
30×	`associate-r`
22×	`unpow-prod-down`
21×	`add-exp-log`
13×	`add-cbrt-cube`
8×	`pow1` `sqr-pow`
7×	`associate-l` `associate-/l*`
6×	`div-exp` `add-log-exp`
5×	`prod-exp` `unswap-sqr`
4×	`flip3-+` `associate-/r/` `flip-+` `insert-posit16`
3×	`associate-/r*` `cbrt-unprod`
2×	`pow-to-exp` `cbrt-undiv` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `associate-*r/` `distribute-lft-out`

Counts

4 → 133

Calls

4 calls:

Slowest

47.0ms	(* a (/ (pow k m) (+ (* (+ 10 k) k) 1)))
25.0ms	(* (+ 10 k) k)
15.0ms	(/ (pow k m) (+ (* (+ 10 k) k) 1))
13.0ms	(+ (* (+ 10 k) k) 1)

series298.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

118.0ms	(* a (/ (pow k m) (+ (* (+ 10 k) k) 1)))
111.0ms	(/ (pow k m) (+ (* (+ 10 k) k) 1))
46.0ms	(* (+ 10 k) k)
23.0ms	(+ (* (+ 10 k) k) 1)

simplify872.0ms

Counts: 145 → 145

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

96.1% (0.1b remaining)

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

bsearch73.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.6s	11915×	body	80	valid
549.0ms	4259×	body	80	nan