Details

sample284.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
8.0ms	277×	body	80	nan

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	19	6
2	21	6
3	21	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite29.0ms

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:

0.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
10.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
14.0ms	(/ (- 1.0 x) (+ 1.0 x))

series142.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
90.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
49.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify40.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	370	779
1	1128	734
2	5001	719

prune233.0ms

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
69×	`add-sqr-sqrt`
66×	`times-frac`
56×	`cbrt-prod`
42×	`add-cube-cbrt`
38×	`sqrt-prod`
17×	`distribute-lft-out`
11×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/l*`
6×	`add-exp-log` `cbrt-div`
5×	`pow1` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `flip3--` `flip--`
2×	`flip3-+` `pow1/3` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-exp` `clear-num`

Counts

4 → 149

Calls

4 calls:

12.0ms	(sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x)))
11.0ms	(/ (cbrt (- 1.0 x)) (+ 1.0 x))
2.0ms	(cbrt (- 1.0 x))
2.0ms	(cbrt (- 1.0 x))

series541.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x)))
127.0ms	(/ (cbrt (- 1.0 x)) (+ 1.0 x))
90.0ms	(cbrt (- 1.0 x))
92.0ms	(cbrt (- 1.0 x))

simplify60.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	631	1463
1	1963	1413
2	5001	1387

prune514.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	6
1	11	6

end0.0ms

sample689.0ms

Algorithm

intervals

Results

299.0ms	8000×	body	80	valid
204.0ms	8044×	body	80	nan