Details

sample342.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
6.0ms	228×	body	80	nan

simplify18.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite51.0ms

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))))
19.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
27.0ms	(/ (- 1.0 x) (+ 1.0 x))

series142.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
89.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
48.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify1.3s

Counts

106 → 106

Iterations

Useful iterations: done (1.3s)

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

prune238.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `expm1-log1p` `flip3--` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `expm1-udef`

Counts

4 → 83

Calls

4 calls:

0.0ms	(expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))
1.0ms	(atan (sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))))
1.0ms	(sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x)))))
24.0ms	(/ (- 1.0 x) (+ 1.0 x))

series439.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))
3.0ms	(atan (sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))))
242.0ms	(sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x)))))
34.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify796.0ms

Counts

95 → 95

Iterations

Useful iterations: done (793.0ms)

Iter	Nodes	Cost
0	227	1563
1	549	1381
2	1548	1234
done	5001	1203

prune256.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

100×	`*-un-lft-identity`
76×	`add-sqr-sqrt`
66×	`times-frac`
56×	`cbrt-prod`
44×	`add-cube-cbrt`
41×	`associate-r` `sqrt-prod`
17×	`distribute-lft-out`
11×	`distribute-lft-out--` `difference-of-squares`
8×	`add-exp-log` `associate-/l*`
7×	`add-cbrt-cube`
6×	`pow1` `cbrt-div`
4×	`expm1-log1p-u` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`flip3--` `associate-l` `flip--`
2×	`flip3-+` `pow1/3` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `sqrt-div` `associate-r/` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `cbrt-unprod`

Counts

4 → 158

Calls

4 calls:

4.0ms	(cbrt (- 1.0 x))
4.0ms	(cbrt (- 1.0 x))
22.0ms	(/ (cbrt (- 1.0 x)) (+ 1.0 x))
56.0ms	(* (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))))

series553.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (- 1.0 x))
91.0ms	(cbrt (- 1.0 x))
134.0ms	(/ (cbrt (- 1.0 x)) (+ 1.0 x))
237.0ms	(* (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))))

simplify1.1s

Counts

170 → 170

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	332	2942
1	754	2725
2	2354	2557
done	5001	2466

prune513.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

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

sample772.0ms

Algorithm

intervals

Results

307.0ms	8000×	body	80	valid
198.0ms	7863×	body	80	nan