Details

sample75.0ms

Algorithm

intervals

Results

43.0ms	395×	body	80	valid
14.0ms	138×	body	80	nan

simplify9.1s

Counts

1 → 1

Iterations

Iter	Nodes
7	7970
6	1954
5	624
4	202
3	85
2	45
1	24
0	12

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow k m) a)
0.0b	(* k (+ k 10))
1.4b	(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
17×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cbrt-cube`
10×	`associate-l` `add-cube-cbrt`
7×	`associate-r` `prod-exp`
5×	`pow1`
4×	`unpow-prod-down` `div-exp` `unswap-sqr`
3×	`associate-/r*` `times-frac` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`pow-to-exp` `cbrt-undiv` `flip3-+` `pow-exp` `associate-r/` `associate-/r/` `-commutative` `flip-+` `sqr-pow`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

3 → 76

Calls

3 calls:

17.0ms	(* (pow k m) a)
19.0ms	(* k (+ k 10))
21.0ms	(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))

series358.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(* (pow k m) a)
78.0ms	(* k (+ k 10))
137.0ms	(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))

simplify5.0s

Counts

85 → 85

Iterations

Iter	Nodes
3	7280
2	1394
1	434
0	166

prune931.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow k m) a)
0.0b	(* k (+ k 10))
1.4b	(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
17×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cbrt-cube`
10×	`associate-l` `add-cube-cbrt`
7×	`associate-r` `prod-exp`
5×	`pow1`
4×	`unpow-prod-down` `div-exp` `unswap-sqr`
3×	`associate-/r*` `times-frac` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`pow-to-exp` `cbrt-undiv` `flip3-+` `pow-exp` `associate-r/` `associate-/r/` `-commutative` `flip-+` `sqr-pow`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

3 → 76

Calls

3 calls:

11.0ms	(* (pow k m) a)
26.0ms	(* k (+ k 10))
31.0ms	(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))

series322.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(* (pow k m) a)
80.0ms	(* k (+ k 10))
129.0ms	(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))

simplify5.0s

Counts

85 → 85

Iterations

Iter	Nodes
3	7280
2	1394
1	434
0	166

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (pow k m) a) (sqrt (+ (* k (+ k 10)) 1)))
0.0b	(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))
15.2b	(sqrt (+ (* k (+ k 10)) 1))
15.2b	(sqrt (+ (* k (+ k 10)) 1))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

120×	`times-frac`
72×	`sqrt-prod`
59×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `add-cube-cbrt`
30×	`add-exp-log`
22×	`sqrt-div`
18×	`add-cbrt-cube` `associate-/r/`
13×	`div-exp` `associate-/l*`
12×	`associate-/r*`
11×	`flip3-+` `flip-+`
9×	`div-inv`
7×	`cbrt-undiv`
6×	`pow1` `prod-exp`
4×	`insert-posit16` `add-log-exp`
2×	`pow-to-exp` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-exp` `cbrt-unprod`
1×	`associate-/l/`

Counts

4 → 176

Calls

4 calls:

39.0ms	(/ (* (pow k m) a) (sqrt (+ (* k (+ k 10)) 1)))
62.0ms	(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))
11.0ms	(sqrt (+ (* k (+ k 10)) 1))
11.0ms	(sqrt (+ (* k (+ k 10)) 1))

series474.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(/ (* (pow k m) a) (sqrt (+ (* k (+ k 10)) 1)))
157.0ms	(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ k 10)) 1))) (sqrt (+ (* k (+ k 10)) 1)))
51.0ms	(sqrt (+ (* k (+ k 10)) 1))
35.0ms	(sqrt (+ (* k (+ k 10)) 1))

simplify815.0ms

Counts

188 → 188

Iterations

Iter	Nodes
2	2298
1	704
0	273

prune2.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow k m) a)
0.0b	(* k (+ k 10))
0.3b	(/ 1 (/ (+ (* k (+ k 10)) 1) (* (pow k m) a)))
1.2b	(/ (+ (* k (+ k 10)) 1) (* (pow k m) a))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-exp-log`
36×	`times-frac`
34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
26×	`div-exp`
22×	`add-cbrt-cube`
16×	`prod-exp`
10×	`associate-l`
8×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `associate-r`
6×	`div-inv` `associate-/l*`
5×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
4×	`unpow-prod-down` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3-+` `associate-r/` `-commutative` `flip-+` `sqr-pow` `associate-/l/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-/r/` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

4 → 139

Calls

4 calls:

11.0ms	(* (pow k m) a)
13.0ms	(* k (+ k 10))
25.0ms	(/ 1 (/ (+ (* k (+ k 10)) 1) (* (pow k m) a)))
49.0ms	(/ (+ (* k (+ k 10)) 1) (* (pow k m) a))

series467.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (pow k m) a)
65.0ms	(* k (+ k 10))
140.0ms	(/ 1 (/ (+ (* k (+ k 10)) 1) (* (pow k m) a)))
124.0ms	(/ (+ (* k (+ k 10)) 1) (* (pow k m) a))

simplify980.0ms

Counts

151 → 151

Iterations

Iter	Nodes
2	2260
1	659
0	257

prune1.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes171.0ms

Accuracy

98.1% (0.0b remaining)

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

bsearch124.0ms

Steps

Iters	Range		Point
8	2.212400790783488e+143	4.291391726692696e+147	1.304764198775255e+145

simplify13.0ms

Iterations

Iter	Nodes
2	42
1	42
0	31

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.2s	11965×	body	80	valid
590.0ms	4325×	body	80	nan