Details

sample188.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
9.0ms	256×	body	80	nan

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
3	21
2	19
1	16
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b	(/ (- 1.0 x) (+ 1.0 x))
0.0b	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
41×	`times-frac`
26×	`sqrt-prod`
24×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `log1p-expm1-u` `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 → 97

Calls

3 calls:

29.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
22.0ms	(/ (- 1.0 x) (+ 1.0 x))
1.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

series142.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
39.0ms	(/ (- 1.0 x) (+ 1.0 x))
10.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

simplify2.4s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
3	4065
2	1021
1	369
0	168

prune540.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 x) (+ 1.0 x))
0.0b	(log (exp (/ (- 1.0 x) (+ 1.0 x))))
0.0b	(atan (sqrt (log (exp (/ (- 1.0 x) (+ 1.0 x))))))
0.0b	(exp (/ (- 1.0 x) (+ 1.0 x)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

94×	`*-un-lft-identity`
62×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
36×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`add-cbrt-cube` `add-exp-log` `associate-/r/`
5×	`pow1` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
3×	`log-prod` `flip3-+` `div-sub` `flip-+` `div-inv`
2×	`exp-diff` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-exp` `rem-log-exp` `flip--` `rem-exp-log`

Counts

4 → 135

Calls

4 calls:

29.0ms	(/ (- 1.0 x) (+ 1.0 x))
32.0ms	(log (exp (/ (- 1.0 x) (+ 1.0 x))))
1.0ms	(atan (sqrt (log (exp (/ (- 1.0 x) (+ 1.0 x))))))
39.0ms	(exp (/ (- 1.0 x) (+ 1.0 x)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (- 1.0 x) (+ 1.0 x))
42.0ms	(log (exp (/ (- 1.0 x) (+ 1.0 x))))
3.0ms	(atan (sqrt (log (exp (/ (- 1.0 x) (+ 1.0 x))))))
111.0ms	(exp (/ (- 1.0 x) (+ 1.0 x)))

simplify2.1s

Counts

147 → 147

Iterations

Iter	Nodes
done	5000
3	3960
2	1015
1	373
0	185

prune851.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))
0.0b	(sqrt (- 1.0 x))
0.0b	(sqrt (- 1.0 x))
0.0b	(* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

604×	`sqrt-prod`
524×	`*-un-lft-identity`
472×	`add-sqr-sqrt` `times-frac`
196×	`add-cube-cbrt`
138×	`swap-sqr`
73×	`distribute-lft-out`
68×	`distribute-lft-out--`
62×	`associate-r` `associate-l`
46×	`difference-of-squares`
25×	`unswap-sqr`
18×	`add-cbrt-cube` `add-exp-log`
16×	`sqrt-div`
13×	`pow1`
10×	`associate-/r/`
8×	`associate-/l*`
7×	`associate-/r*`
5×	`cbrt-undiv` `sqrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `flip--`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l/`
1×	`pow2` `frac-times` `clear-num` `rem-square-sqrt` `frac-2neg` `pow-plus` `sqrt-unprod` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 443

Calls

4 calls:

35.0ms	(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))
9.0ms	(sqrt (- 1.0 x))
8.0ms	(sqrt (- 1.0 x))
184.0ms	(* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))

series286.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))
55.0ms	(sqrt (- 1.0 x))
65.0ms	(sqrt (- 1.0 x))
39.0ms	(* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))

simplify2.8s

Counts

455 → 455

Iterations

Iter	Nodes
done	5000
2	2999
1	1035
0	317

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes54.0ms

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	16
1	16
0	14

end0.0ms

sample1.5s

Algorithm

intervals

Results

755.0ms	8000×	body	80	valid
412.0ms	8160×	body	80	nan