Details

sample179.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
15.0ms	250×	body	80	nan

simplify30.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	9	11
1	16	11
2	19	11
3	21	11
done	21	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

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-exp-log` `add-cbrt-cube` `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` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num` `flip--`

Counts

3 → 97

Calls

3 calls:

1.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
34.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
61.0ms	(/ (- 1.0 x) (+ 1.0 x))

series216.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
134.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
70.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify1.9s

Counts

106 → 106

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	173	1505
1	372	1422
2	918	1333
3	2332	1320
done	5000	1300

prune333.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x)))))
0.0b	(log1p (/ (- 1.0 x) (+ 1.0 x)))
0.0b	(/ (- 1.0 x) (+ 1.0 x))
0.0b	(expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

1.0ms	(sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x)))))
1.0ms	(log1p (/ (- 1.0 x) (+ 1.0 x)))
43.0ms	(/ (- 1.0 x) (+ 1.0 x))
0.0ms	(expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))

series738.0ms

Counts

4 → 12

Calls

4 calls:

331.0ms	(sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x)))))
165.0ms	(log1p (/ (- 1.0 x) (+ 1.0 x)))
34.0ms	(/ (- 1.0 x) (+ 1.0 x))
208.0ms	(expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))

simplify1.5s

Counts

97 → 97

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	236	1580
1	602	1421
2	1745	1267
done	5000	1234

prune408.0ms

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
56×	`times-frac`
55×	`cbrt-prod`
41×	`add-cube-cbrt`
36×	`sqrt-prod`
11×	`distribute-lft-out--` `difference-of-squares`
9×	`distribute-lft-out`
8×	`cbrt-div` `associate-/l*`
7×	`associate-/r*`
6×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`sqrt-div` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 140

Calls

4 calls:

27.0ms	(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
8.0ms	(cbrt (- 1.0 x))
8.0ms	(cbrt (- 1.0 x))
9.0ms	(cbrt (- 1.0 x))

series637.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))
105.0ms	(cbrt (- 1.0 x))
126.0ms	(cbrt (- 1.0 x))
101.0ms	(cbrt (- 1.0 x))

simplify2.6s

Counts

152 → 152

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	229	2489
1	491	2272
2	1288	2207
3	4098	2132
done	5000	2132

prune832.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	13	13
done	13	13

end0.0ms

sample1.2s

Algorithm

intervals

Results

471.0ms	8000×	body	80	valid
320.0ms	8070×	body	80	nan