Details

sample292.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
11.0ms	294×	body	80	nan

simplify12.0ms

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 (0.0%)

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

localize10.0ms

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))

rewrite23.0ms

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))

series156.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
3.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
59.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify42.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	354	753
1	1071	709
2	5001	690

prune190.0ms

Filtered

100 candidates to 70 candidates (70.0%)

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

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
40×	`times-frac`
36×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
12×	`distribute-lft-out`
8×	`add-exp-log` `associate-/r*` `associate-/r/` `add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `flip3-+` `flip-+` `div-inv` `difference-of-squares`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

4 → 101

Calls

4 calls:

1.0ms	(atan (sqrt (- (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)))))
5.0ms	(/ x (+ x 1.0))
25.0ms	(- (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (+ x 1.0))

series125.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(atan (sqrt (- (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)))))
35.0ms	(/ x (+ x 1.0))
61.0ms	(- (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)))
26.0ms	(/ 1.0 (+ x 1.0))

simplify190.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	357	705
1	1162	658
2	4910	650
3	5002	650

prune196.0ms

Filtered

113 candidates to 83 candidates (73.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	113	2	115

Merged error: 0b

Counts

115 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

602×	`times-frac`
562×	`*-un-lft-identity`
384×	`add-sqr-sqrt`
360×	`sqrt-prod`
254×	`add-cube-cbrt`
90×	`distribute-lft-out`
64×	`distribute-lft-out--` `difference-of-squares`
46×	`associate-/l*`
24×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
12×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`flip3--` `flip--`

Counts

4 → 449

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 x))
3.0ms	(sqrt (+ 1.0 x))
9.0ms	(/ (- 1.0 x) (sqrt (+ 1.0 x)))
25.0ms	(/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt (+ 1.0 x))
30.0ms	(sqrt (+ 1.0 x))
91.0ms	(/ (- 1.0 x) (sqrt (+ 1.0 x)))
41.0ms	(/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))

simplify113.0ms

Algorithm

egg-herbie

Counts

461 → 461

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	917	6189
1	3474	5473
2	5001	5461

prune493.0ms

Filtered

461 candidates to 169 candidates (36.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	461	0	461
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	461	2	463

Merged error: 0b

Counts

463 → 2

regimes14.0ms

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	12	8
1	12	8

end0.0ms

sample904.0ms

Algorithm

intervals

Results

400.0ms	8000×	body	80	valid
290.0ms	7922×	body	80	nan

Details

sample292.0ms

simplify12.0ms

prune4.0ms

localize10.0ms

rewrite23.0ms

series156.0ms

simplify42.0ms

prune190.0ms

localize9.0ms

rewrite40.0ms

series125.0ms

simplify190.0ms

prune196.0ms

localize10.0ms

rewrite73.0ms

series195.0ms

simplify113.0ms

prune493.0ms

regimes14.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample904.0ms

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