Details

sample665.0ms

Algorithm

intervals

Results

59.0ms	256×	body	80	valid
26.0ms	250×	body	80	nan

simplify170.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	23
3	23
2	21
1	18
0	9

prune43.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (/ (- 1 x) (+ 1 x)))
0.0b	(/ (- 1 x) (+ 1 x))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
55×	`add-sqr-sqrt`
49×	`times-frac`
30×	`sqrt-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
6×	`associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `associate-/r/`
3×	`pow1`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `sqrt-div` `div-sub` `div-exp` `flip--`

Counts

2 → 95

Calls

2 calls:

24.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
33.0ms	(/ (- 1 x) (+ 1 x))

series110.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
58.0ms	(/ (- 1 x) (+ 1 x))

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	2001
3	2001
2	785
1	323
0	155

prune844.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (* x x))
0.0b	(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
0.0b	(/ (- 1 x) (- 1 (* x x)))
0.0b	(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
80×	`*-un-lft-identity`
61×	`times-frac`
52×	`difference-of-squares`
36×	`associate-l`
30×	`add-cube-cbrt`
12×	`distribute-lft-out--`
11×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
8×	`flip3--` `flip--`
6×	`associate-r` `associate-/l*` `add-log-exp`
5×	`associate-/r*` `sqrt-div`
4×	`frac-times` `associate-*r/` `associate-/r/` `insert-posit16`
3×	`sub-neg`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `sqrt-pow1` `div-exp` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow1/2` `diff-log` `div-sub` `*-commutative` `sqrt-prod`

Counts

4 → 158

Calls

4 calls:

11.0ms	(- 1 (* x x))
15.0ms	(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
16.0ms	(/ (- 1 x) (- 1 (* x x)))
43.0ms	(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))

series219.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- 1 (* x x))
80.0ms	(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
31.0ms	(/ (- 1 x) (- 1 (* x x)))
56.0ms	(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))

simplify1.5s

Counts

170 → 170

Iterations

Iter	Nodes
done	2003
3	2003
2	1974
1	646
0	231

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- 1 x) (+ 1 x)))
0.0b	(log (exp (sqrt (/ (- 1 x) (+ 1 x)))))
0.0b	(exp (sqrt (/ (- 1 x) (+ 1 x))))
0.0b	(/ (- 1 x) (+ 1 x))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

153×	`*-un-lft-identity`
106×	`add-sqr-sqrt`
97×	`times-frac`
90×	`sqrt-prod`
66×	`exp-prod`
52×	`add-cube-cbrt`
34×	`log-pow` `difference-of-squares`
25×	`distribute-lft-out`
17×	`distribute-lft-out--`
8×	`associate-/r/`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`add-log-exp`
4×	`associate-/r*` `flip3-+` `flip-+` `insert-posit16` `div-inv`
3×	`log-prod`
2×	`rem-sqrt-square` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `sqrt-div` `div-sub` `div-exp` `rem-log-exp` `flip--` `rem-exp-log`

Counts

4 → 183

Calls

4 calls:

22.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
29.0ms	(log (exp (sqrt (/ (- 1 x) (+ 1 x)))))
27.0ms	(exp (sqrt (/ (- 1 x) (+ 1 x))))
22.0ms	(/ (- 1 x) (+ 1 x))

series236.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
68.0ms	(log (exp (sqrt (/ (- 1 x) (+ 1 x)))))
89.0ms	(exp (sqrt (/ (- 1 x) (+ 1 x))))
30.0ms	(/ (- 1 x) (+ 1 x))

simplify1.1s

Counts

195 → 195

Iterations

Iter	Nodes
done	2006
3	2006
2	1031
1	452
0	235

prune2.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample2.1s

Algorithm

intervals

Results

949.0ms	8000×	body	80	valid
918.0ms	7967×	body	80	nan