Details

sample186.0ms

Algorithm

intervals

Results

39.0ms	256×	body	80	valid
27.0ms	231×	body	80	nan

simplify59.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 103

Calls

3 calls:

1.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
10.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
18.0ms	(/ (- 1 x) (+ 1 x))

series137.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
68.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
63.0ms	(/ (- 1 x) (+ 1 x))

simplify1.9s

Counts

112 → 112

Iterations

Iter	Nodes
done	5166
3	2495
2	768
1	341
0	168

prune513.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

1354×	`times-frac`
1251×	`*-un-lft-identity`
1127×	`sqrt-prod`
879×	`add-sqr-sqrt`
522×	`add-cube-cbrt`
226×	`difference-of-squares`
195×	`distribute-lft-out`
113×	`distribute-lft-out--`
54×	`associate-/l*`
39×	`sqrt-div`
36×	`associate-/r/`
19×	`flip3-+` `flip-+`
18×	`div-inv`
14×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
8×	`rem-sqrt-square`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`flip3--` `flip--`

Counts

4 → 860

Calls

4 calls:

7.0ms	(sqrt (+ 1 x))
23.0ms	(sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))))
25.0ms	(/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))
35.0ms	(/ (- 1 x) (sqrt (+ 1 x)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sqrt (+ 1 x))
78.0ms	(sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))))
31.0ms	(/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))
85.0ms	(/ (- 1 x) (sqrt (+ 1 x)))

simplify2.4s

Counts

872 → 872

Iterations

Iter	Nodes
done	5020
2	2755
1	1296
0	710

prune2.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
72×	`sqrt-prod`
66×	`times-frac`
54×	`associate-l`
35×	`add-cube-cbrt`
32×	`difference-of-squares`
18×	`add-cbrt-cube` `add-exp-log`
17×	`sqrt-div`
10×	`distribute-lft-out--`
9×	`associate-r`
8×	`pow1`
7×	`associate-/r*`
6×	`flip3--` `associate-/r/` `flip--` `unswap-sqr`
5×	`cbrt-undiv` `div-exp` `associate-/l/`
4×	`frac-times` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`div-inv` `distribute-lft-out`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*l/` `flip-+`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l`

Counts

4 → 171

Calls

4 calls:

10.0ms	(sqrt (- 1 x))
31.0ms	(sqrt (/ (* (/ (- 1 x) (sqrt (- 1 (* x x)))) (sqrt (- 1 x))) (sqrt (+ 1 x))))
40.0ms	(* (/ (- 1 x) (sqrt (- 1 (* x x)))) (sqrt (- 1 x)))
40.0ms	(/ (* (/ (- 1 x) (sqrt (- 1 (* x x)))) (sqrt (- 1 x))) (sqrt (+ 1 x)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt (- 1 x))
95.0ms	(sqrt (/ (* (/ (- 1 x) (sqrt (- 1 (* x x)))) (sqrt (- 1 x))) (sqrt (+ 1 x))))
72.0ms	(* (/ (- 1 x) (sqrt (- 1 (* x x)))) (sqrt (- 1 x)))
121.0ms	(/ (* (/ (- 1 x) (sqrt (- 1 (* x x)))) (sqrt (- 1 x))) (sqrt (+ 1 x)))

simplify1.9s

Counts

183 → 183

Iterations

Iter	Nodes
done	5000
2	2010
1	680
0	280

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.4s	8000×	body	80	valid
713.0ms	7614×	body	80	nan