Details

sample276.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
7.0ms	247×	body	80	nan

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

rewrite30.0ms

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:

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

series149.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
3.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
54.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify42.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (32.0ms)

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

prune230.0ms

Filtered

106 candidates to 76 candidates (71.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 x) (+ 1.0 x))
0.9b	(sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))
0.9b	(sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))
1.0b	(* (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
25×	`add-cube-cbrt`
24×	`sqrt-prod`
21×	`pow1`
20×	`times-frac`
10×	`sqrt-pow1` `pow1/2`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
6×	`associate-r` `associate-l` `distribute-lft-out`
5×	`pow-prod-up` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `flip3--` `frac-2neg` `flip3-+` `pow-plus` `sqrt-unprod` `div-sub` `div-exp` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `div-inv`

Counts

4 → 129

Calls

4 calls:

12.0ms	(/ (- 1.0 x) (+ 1.0 x))
1.0ms	(sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))
1.0ms	(sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))
7.0ms	(* (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (- 1.0 x) (+ 1.0 x))
12.0ms	(sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))
13.0ms	(sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))
2.0ms	(* (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))

simplify46.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	315	1081
1	1228	975
2	5001	934

prune283.0ms

Filtered

141 candidates to 82 candidates (58.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes66.0ms

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

sample694.0ms

Algorithm

intervals

Results

310.0ms	8000×	body	80	valid
195.0ms	7907×	body	80	nan