Details

sample288.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
10.0ms	232×	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	(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))

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:

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

series161.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
97.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
60.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify43.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (31.0ms)

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

prune187.0ms

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 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

80×	`sqrt-prod`
74×	`*-un-lft-identity`
56×	`times-frac`
55×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
10×	`distribute-lft-out`
8×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
7×	`associate-/r*`
6×	`sqrt-div`
5×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`add-log-exp`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-undiv` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `clear-num` `flip--` `div-inv`

Counts

3 → 111

Calls

3 calls:

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

series132.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))
2.0ms	(atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
36.0ms	(sqrt (+ 1.0 x))

simplify44.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	341	1157
1	1055	1092
2	5001	1033

prune181.0ms

Filtered

120 candidates to 65 candidates (54.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

122 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3)))
0.0b	(/ (- 1.0 x) (+ 1.0 x))
0.0b	(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
0.0b	(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

209×	`*-un-lft-identity`
145×	`add-sqr-sqrt`
142×	`times-frac`
122×	`cbrt-prod`
80×	`unpow-prod-down` `cube-prod`
79×	`add-cube-cbrt`
61×	`sqrt-prod`
36×	`distribute-lft-out`
29×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv`
6×	`pow1`
5×	`associate-/l*`
4×	`associate-/r*` `add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3`
2×	`cbrt-undiv` `cbrt-div` `sqrt-pow1` `pow1/3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `pow1/2` `sqrt-div` `div-sub` `clear-num` `flip--` `rem-cbrt-cube`

Counts

4 → 265

Calls

4 calls:

15.0ms	(sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3)))
8.0ms	(/ (- 1.0 x) (+ 1.0 x))
11.0ms	(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
10.0ms	(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

series229.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3)))
36.0ms	(/ (- 1.0 x) (+ 1.0 x))
34.0ms	(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
65.0ms	(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

simplify94.0ms

Algorithm

egg-herbie

Counts

277 → 277

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	684	2359
1	2899	2188
2	5003	2131

prune354.0ms

Filtered

277 candidates to 120 candidates (43.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	277	0	277
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	277	2	279

Merged error: 0b

Counts

279 → 2

regimes27.0ms

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	12	7
1	12	7

end0.0ms

sample890.0ms

Algorithm

intervals

Results

396.0ms	8000×	body	80	valid
283.0ms	8047×	body	80	nan

Details

sample288.0ms

simplify12.0ms

prune4.0ms

localize10.0ms

rewrite23.0ms

series161.0ms

simplify43.0ms

prune187.0ms

localize9.0ms

rewrite21.0ms

series132.0ms

simplify44.0ms

prune181.0ms

localize14.0ms

rewrite59.0ms

series229.0ms

simplify94.0ms

prune354.0ms

regimes27.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample890.0ms

Profiling