Details

sample104.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
9.0ms	256×	body	80	nan

simplify17.0ms

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

localize558.0ms

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))))

rewrite97.0ms

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×	`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 → 91

Calls

3 calls:

25.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
59.0ms	(/ (- 1.0 x) (+ 1.0 x))
2.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

series315.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
121.0ms	(/ (- 1.0 x) (+ 1.0 x))
55.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

simplify2.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5012
3	4601
2	1031
1	353
0	162

prune523.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize30.0ms

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)))

rewrite100.0ms

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×	`associate-/r*`
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 → 127

Calls

4 calls:

17.0ms	(/ (- 1.0 x) (+ 1.0 x))
32.0ms	(log (exp (/ (- 1.0 x) (+ 1.0 x))))
0.0ms	(atan (sqrt (log (exp (/ (- 1.0 x) (+ 1.0 x))))))
45.0ms	(exp (/ (- 1.0 x) (+ 1.0 x)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (- 1.0 x) (+ 1.0 x))
55.0ms	(log (exp (/ (- 1.0 x) (+ 1.0 x))))
5.0ms	(atan (sqrt (log (exp (/ (- 1.0 x) (+ 1.0 x))))))
131.0ms	(exp (/ (- 1.0 x) (+ 1.0 x)))

simplify2.4s

Counts

139 → 139

Iterations

Iter	Nodes
done	5005
3	3610
2	899
1	355
0	177

prune786.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize75.0ms

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))))

rewrite205.0ms

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×	`prod-exp` `cbrt-unprod` `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 → 435

Calls

4 calls:

25.0ms	(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))
6.0ms	(sqrt (- 1.0 x))
6.0ms	(sqrt (- 1.0 x))
129.0ms	(* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))
42.0ms	(sqrt (- 1.0 x))
39.0ms	(sqrt (- 1.0 x))
52.0ms	(* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))

simplify2.2s

Counts

447 → 447

Iterations

Iter	Nodes
done	5000
2	2951
1	1017
0	311

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes65.0ms

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	13
1	13
0	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

665.0ms	8160×	body	80	nan
599.0ms	8000×	body	80	valid