Details

sample37.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
8.0ms	246×	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

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize215.0ms

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))

rewrite24.0ms

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×	`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 → 91

Calls

3 calls:

7.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
1.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
10.0ms	(/ (- 1.0 x) (+ 1.0 x))

series18.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
3.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
10.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify39.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	354	753
1	1071	709
2	5001	688

prune170.0ms

Filtered

100 candidates to 70 candidates (30.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	2	101

Merged error: 0b

Counts

101 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
0.0b	(* (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))))
0.0b	(/ (- 1.0 x) (sqrt (+ 1.0 x)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

136×	`add-sqr-sqrt`
126×	`*-un-lft-identity`
113×	`times-frac`
75×	`sqrt-prod`
58×	`add-cube-cbrt`
41×	`associate-r`
28×	`add-exp-log`
27×	`associate-l`
18×	`add-cbrt-cube`
16×	`distribute-lft-out`
15×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`
10×	`sqrt-div`
9×	`div-exp`
8×	`pow1` `prod-exp`
7×	`associate-/r*`
6×	`associate-/r/`
5×	`cbrt-undiv` `flip3-+` `flip-+` `associate-/l*`
4×	`cbrt-unprod` `add-log-exp`
3×	`div-inv`
2×	`rem-sqrt-square` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `associate-/l/`
1×	`frac-times` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `flip--`

Counts

4 → 203

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 x))
3.0ms	(sqrt (+ 1.0 x))
31.0ms	(* (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))))
11.0ms	(/ (- 1.0 x) (sqrt (+ 1.0 x)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 x))
3.0ms	(sqrt (+ 1.0 x))
3.0ms	(* (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))))
8.0ms	(/ (- 1.0 x) (sqrt (+ 1.0 x)))

simplify93.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	758	2028
1	3295	1798
2	5001	1701

prune373.0ms

Filtered

215 candidates to 125 candidates (41.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	215	2	217

Merged error: 0b

Counts

217 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x))))
0.0b	(atan (sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x)))))
0.0b	(/ 1 (+ 1.0 x))
0.0b	(* (- 1.0 x) (/ 1 (+ 1.0 x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-r`
17×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`pow1`
7×	`distribute-lft-out`
6×	`sqrt-div`
5×	`associate-l`
4×	`frac-times` `flip3--` `div-exp` `associate-l/` `prod-exp` `associate-/r` `associate-/r/` `flip--` `add-log-exp`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `sqrt-pow1` `flip3-+` `1-exp` `associate-*r/` `pow-prod-down` `un-div-inv` `cbrt-unprod` `flip-+` `div-inv`
1×	`pow-flip` `frac-2neg` `pow1/2` `clear-num` `sqrt-prod` `*-commutative` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 108

Calls

4 calls:

8.0ms	(sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x))))
1.0ms	(atan (sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x)))))
5.0ms	(/ 1 (+ 1.0 x))
12.0ms	(* (- 1.0 x) (/ 1 (+ 1.0 x)))

series13.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x))))
2.0ms	(atan (sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x)))))
2.0ms	(/ 1 (+ 1.0 x))
3.0ms	(* (- 1.0 x) (/ 1 (+ 1.0 x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	430	716
1	1909	632
2	5001	580

prune148.0ms

Filtered

120 candidates to 73 candidates (39.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	120	2	122

Merged error: 0b

Counts

122 → 2

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	11
1	18	11

end0.0ms

sample891.0ms

Algorithm

intervals

Results

372.0ms	8000×	body	80	valid
274.0ms	8045×	body	80	nan

Details

sample37.0ms

simplify11.0ms

prune4.0ms

localize215.0ms

rewrite24.0ms

series18.0ms

simplify39.0ms

prune170.0ms

localize12.0ms

rewrite59.0ms

series17.0ms

simplify93.0ms

prune373.0ms

localize9.0ms

rewrite30.0ms

series13.0ms

simplify51.0ms

prune148.0ms

regimes30.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample891.0ms

Profiling