Details

sample65.0ms

Algorithm

intervals

Results

22.0ms	389×	body	80	valid
17.0ms	130×	body	80	nan

simplify101.0ms

Counts: 1 → 1

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* a (pow k m))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
1.6b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

24.0ms	(* a (pow k m))
47.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
61.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series294.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(* a (pow k m))
31.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
171.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify42.0ms

Counts: 72 → 72

prune265.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* a (pow k m))
0.0b	(* k (+ 10.0 k))
1.6b	(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

26.0ms	(* a (pow k m))
42.0ms	(* k (+ 10.0 k))
16.0ms	(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

series339.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* a (pow k m))
86.0ms	(* k (+ 10.0 k))
188.0ms	(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

simplify64.0ms

Counts: 82 → 82

prune378.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

1.6b	(/ (* a (pow k m)) (+ 1.0 (* (* (cbrt (* k (+ 10.0 k))) (cbrt (* k (+ 10.0 k)))) (cbrt (* k (+ 10.0 k))))))
14.8b	(cbrt (* k (+ 10.0 k)))
14.8b	(cbrt (* k (+ 10.0 k)))
14.8b	(cbrt (* k (+ 10.0 k)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `-un-lft-identity` `associate-r/`
4×	`pow1` `flip3-+` `div-exp` `flip-+` `add-log-exp`
3×	`cbrt-prod` `times-frac` `pow1/3` `prod-exp` `associate-/r*`
2×	`cbrt-undiv` `associate-/r/`
1×	`pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 58

Calls

4 calls:

32.0ms	(/ (* a (pow k m)) (+ 1.0 (* (* (cbrt (* k (+ 10.0 k))) (cbrt (* k (+ 10.0 k)))) (cbrt (* k (+ 10.0 k))))))
14.0ms	(cbrt (* k (+ 10.0 k)))
14.0ms	(cbrt (* k (+ 10.0 k)))
26.0ms	(cbrt (* k (+ 10.0 k)))

series662.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(/ (* a (pow k m)) (+ 1.0 (* (* (cbrt (* k (+ 10.0 k))) (cbrt (* k (+ 10.0 k)))) (cbrt (* k (+ 10.0 k))))))
162.0ms	(cbrt (* k (+ 10.0 k)))
127.0ms	(cbrt (* k (+ 10.0 k)))
140.0ms	(cbrt (* k (+ 10.0 k)))

simplify71.0ms

Counts: 70 → 70

prune425.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.0b	(/ (/ (* a (pow k m)) (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k)))))
14.0b	(sqrt (+ 1.0 (* k (+ 10.0 k))))
14.0b	(sqrt (+ 1.0 (* k (+ 10.0 k))))

rewrite117.0ms

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:

22.0ms	(* k (+ 10.0 k))
50.0ms	(/ (/ (* a (pow k m)) (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k)))))
19.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))
10.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))

series403.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* k (+ 10.0 k))
175.0ms	(/ (/ (* a (pow k m)) (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k)))))
71.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))
74.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))

simplify90.0ms

Counts: 176 → 176

prune802.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes88.0ms

Accuracy

96.1% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 2.1b

bsearch66.0ms

Steps

Iters	Range		Point
8	3.3571732760444804e+118	1.1119390584103905e+121	9.967300159477422e+119

simplify115.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.3s	11982×	body	80	valid
283.0ms	4283×	body	80	nan