Details

analyze775.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4997	22
1	4997	22
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
31.2%	68.7%	0.1%	5
31.2%	59.3%	9.5%	6
34.3%	54.6%	11%	7
34.3%	49.2%	16.5%	8
35.9%	46.4%	17.7%	9
35.9%	42.1%	22%	10
36.7%	40.6%	22.7%	11
36.7%	39.1%	24.2%	12
37.1%	38.3%	24.7%	13
37.1%	36.7%	26.2%	14

Symmetry

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample369.0ms (2%)

Algorithm

1×

intervals

Results

282.0ms	165×	body	8192	exit
35.0ms	114×	body	1024	nan
13.0ms	256×	body	128	valid
8.0ms	49×	body	512	nan
3.0ms	26×	body	256	nan
0.0ms	7×	body	128	nan
0.0ms	4×	body	128	overflowed
0.0ms	2×	body	128	invalid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify104.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4896	11
1	4896	11

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
0.2b	(pow.f64 l (exp.f64 w))

rewrite68.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

21×	`times-frac_binary64_766`
20×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
15×	`unpow-prod-down_binary64_839`
7×	`associate-/l*_binary64_705`
5×	`add-exp-log_binary64_798` `sqr-pow_binary64_732`
4×	`add-cbrt-cube_binary64_796`
3×	`pow-unpow_binary64_837` `pow1_binary64_821` `div-exp_binary64_811` `associate-/r*_binary64_704`
2×	`pow-to-exp_binary64_829` `pow-exp_binary64_828` `add-log-exp_binary64_799`
1×	`pow-pow_binary64_832` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757`

Counts

2 → 62

Calls

2 calls:

5.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
2.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 946 to 222 computations (76.5% saved)

series366.0ms (2%)

Error

0.2b

Counts

2 → 18

Calls

2 calls:

201.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
146.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 956 to 520 computations (45.6% saved)

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4974	1490
1	4974	1490

prune68.0ms (0.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	6	81

Error

0.1b

Counts

81 → 6

Compiler

Compiled 1288 to 367 computations (71.5% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 w))
0.0b	(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
0.2b	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
0.2b	(pow.f64 l (sqrt.f64 (exp.f64 w)))

rewrite137.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

53×	`unpow-prod-down_binary64_839`
38×	`add-sqr-sqrt_binary64_782`
37×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
33×	`times-frac_binary64_766`
12×	`pow-unpow_binary64_837`
11×	`sqr-pow_binary64_732` `associate-/l*_binary64_705`
10×	`add-exp-log_binary64_798`
9×	`sqrt-prod_binary64_776` `pow-exp_binary64_828`
6×	`pow1_binary64_821` `add-cbrt-cube_binary64_796`
5×	`pow-to-exp_binary64_829` `div-exp_binary64_811`
4×	`add-log-exp_binary64_799` `sqrt-pow1_binary64_778`
3×	`associate-/r*_binary64_704` `exp-prod_binary64_812`
2×	`pow-pow_binary64_832`
1×	`cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `pow1/2_binary64_840` `rem-sqrt-square_binary64_773`

Counts

4 → 125

Calls

4 calls:

8.0ms	(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
4.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
3.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
2.0ms	(sqrt.f64 (exp.f64 w))

Compiler

Compiled 2774 to 503 computations (81.9% saved)

series1.2s (6.8%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

551.0ms	(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
441.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
167.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
24.0ms	(sqrt.f64 (exp.f64 w))

Compiler

Compiled 3109 to 1461 computations (53% saved)

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5662	4029

prune140.0ms (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	154	4	158
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	157	7	164

Error

0.1b

Counts

164 → 7

Compiler

Compiled 3652 to 920 computations (74.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (pow.f64 (exp.f64 1) (/.f64 w 2))) (exp.f64 w))
0.0b	(pow.f64 (exp.f64 1) (/.f64 w 2))
0.2b	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (pow.f64 (exp.f64 1) (/.f64 w 2)))
0.2b	(pow.f64 l (sqrt.f64 (exp.f64 w)))

rewrite203.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

59×	`unpow-prod-down_binary64_839`
44×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
42×	`times-frac_binary64_766`
26×	`pow-unpow_binary64_837`
13×	`sqr-pow_binary64_732`
11×	`associate-/l*_binary64_705`
10×	`add-exp-log_binary64_798` `pow-exp_binary64_828`
6×	`pow1_binary64_821` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `add-cbrt-cube_binary64_796`
5×	`div-exp_binary64_811`
4×	`add-log-exp_binary64_799`
3×	`sqrt-prod_binary64_776` `exp-prod_binary64_812` `associate-/r*_binary64_704`
2×	`div-inv_binary64_757`
1×	`cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759`

Counts

4 → 140

Calls

4 calls:

10.0ms	(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (pow.f64 (exp.f64 1) (/.f64 w 2))) (exp.f64 w))
5.0ms	(pow.f64 (exp.f64 1) (/.f64 w 2))
4.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (pow.f64 (exp.f64 1) (/.f64 w 2)))
3.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))

Compiler

Compiled 3725 to 1915 computations (48.6% saved)

series1.3s (7.3%)

Error

0.1b

Counts

4 → 33

Calls

4 calls:

583.0ms	(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (pow.f64 (exp.f64 1) (/.f64 w 2))) (exp.f64 w))
480.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (pow.f64 (exp.f64 1) (/.f64 w 2)))
189.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
20.0ms	(pow.f64 (exp.f64 1) (/.f64 w 2))

Compiler

Compiled 3214 to 1700 computations (47.1% saved)

simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5689	4741

prune194.0ms (1.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	174	6	180

Error

0.1b

Counts

180 → 6

Compiler

Compiled 4451 to 1977 computations (55.6% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (exp.f64 w) (pow.f64 l (exp.f64 w)))
0.2b	(/.f64 1 (/.f64 (exp.f64 w) (pow.f64 l (exp.f64 w))))
0.2b	(pow.f64 l (exp.f64 w))

rewrite199.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

180×	`times-frac_binary64_766`
103×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
51×	`unpow-prod-down_binary64_839`
32×	`associate-/r*_binary64_704`
20×	`div-exp_binary64_811`
19×	`add-exp-log_binary64_798`
17×	`sqr-pow_binary64_732`
10×	`add-cbrt-cube_binary64_796`
6×	`div-inv_binary64_757` `associate-/l*_binary64_705`
5×	`pow1_binary64_821` `pow-to-exp_binary64_829` `pow-exp_binary64_828`
4×	`1-exp_binary64_804` `rec-exp_binary64_810` `cbrt-undiv_binary64_794`
3×	`pow-unpow_binary64_837` `add-log-exp_binary64_799`
2×	`frac-2neg_binary64_771` `clear-num_binary64_759`
1×	`pow-pow_binary64_832` `inv-pow_binary64_845` `pow-flip_binary64_834` `associate-/r/_binary64_706`

Counts

3 → 192

Calls

3 calls:

10.0ms	(/.f64 1 (/.f64 (exp.f64 w) (pow.f64 l (exp.f64 w))))
5.0ms	(/.f64 (exp.f64 w) (pow.f64 l (exp.f64 w)))
2.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 3922 to 1313 computations (66.5% saved)

series601.0ms (3.3%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

221.0ms	(/.f64 (exp.f64 w) (pow.f64 l (exp.f64 w)))
207.0ms	(/.f64 1 (/.f64 (exp.f64 w) (pow.f64 l (exp.f64 w))))
145.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 1576 to 908 computations (42.4% saved)

simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5099	4975

prune154.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	218	1	219
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	220	5	225

Error

0.1b

Counts

225 → 5

Compiler

Compiled 3851 to 1051 computations (72.7% saved)

regimes364.0ms (2%)

Accuracy

Total 0.2b remaining (79.3%)

Threshold costs 0.2b (79.3%)

Compiler

Compiled 4616 to 2665 computations (42.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	11
1	6	11

Removed

()

end0.0ms (0%)

sample11.5s (63.4%)

Algorithm

1×

intervals

Results

7.8s	4627×	body	8192	exit
953.0ms	3103×	body	1024	nan
424.0ms	8000×	body	128	valid
267.0ms	1590×	body	512	nan
80.0ms	783×	body	256	nan
14.0ms	329×	body	128	nan
11.0ms	148×	body	128	overflowed
6.0ms	113×	body	128	invalid
5.0ms	2×	body	8192	nan
2.0ms	1×	body	4096	nan
1.0ms	2×	body	2048	nan

Compiler

Compiled 1548 to 896 computations (42.1% saved)

Details

analyze775.0ms (4.3%)

sample369.0ms (2%)

simplify104.0ms (0.6%)

prune3.0ms (0%)

localize5.0ms (0%)

rewrite68.0ms (0.4%)

series366.0ms (2%)

simplify60.0ms (0.3%)

prune68.0ms (0.4%)

localize7.0ms (0%)

rewrite137.0ms (0.8%)

series1.2s (6.8%)

simplify74.0ms (0.4%)

prune140.0ms (0.8%)

localize12.0ms (0.1%)

rewrite203.0ms (1.1%)

series1.3s (7.3%)

simplify81.0ms (0.4%)

prune194.0ms (1.1%)

localize6.0ms (0%)

rewrite199.0ms (1.1%)

series601.0ms (3.3%)

simplify78.0ms (0.4%)

prune154.0ms (0.8%)

regimes364.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample11.5s (63.4%)

Profiling