Details

analyze915.0ms (11.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
18.7%	81.2%	0.1%	7
25%	73.4%	1.7%	8
28.1%	68.7%	3.2%	9
31.2%	62.8%	6%	10
32.8%	60.1%	7.1%	11
34.3%	56.7%	9%	12
35.1%	55.2%	9.7%	13
35.9%	53.4%	10.7%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample61.0ms (0.8%)

Algorithm

1×

intervals

Results

30.0ms	82×	body	1024	valid
10.0ms	127×	body	128	valid
7.0ms	31×	body	512	valid
2.0ms	16×	body	256	valid
1.0ms	10×	body	128	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify184.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	130	14
1	130	14

prune9.0ms (0.1%)

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: 0.1b

Counts

2 → 2

Compiler

Compiled 51 to 46 computations (9.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.1b	(/.f64 1 (sin.f64 B))
0.2b	(/.f64 x (tan.f64 B))

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64`
26×	`add-cube-cbrt_binary64`
14×	`cancel-sign-sub-inv_binary64`
9×	`add-exp-log_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/r_binary64` `difference-of-squares_binary64` `associate-/l_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `div-inv_binary64`
3×	`distribute-lft-out--_binary64` `div-exp_binary64`
2×	`cbrt-undiv_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `tan-quot_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `1-exp_binary64` `inv-pow_binary64` `rec-exp_binary64` `flip--_binary64` `pow-flip_binary64` `frac-sub_binary64`

Counts

3 → 94

Calls

3 calls:

18.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
6.0ms	(/.f64 x (tan.f64 B))
4.0ms	(/.f64 1 (sin.f64 B))

series534.0ms (6.6%)

Counts

3 → 9

Calls

3 calls:

250.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
238.0ms	(/.f64 x (tan.f64 B))
45.0ms	(/.f64 1 (sin.f64 B))

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5791	1419

prune338.0ms (4.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	93	10	103
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	94	11	105

Merged error: 0.0b

Counts

105 → 11

Compiler

Compiled 4242 to 2595 computations (38.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
0.1b	(/.f64 1 (sin.f64 B))
0.1b	(/.f64 (tan.f64 B) x)
0.2b	(/.f64 1 (/.f64 (tan.f64 B) x))

rewrite78.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

193×	`times-frac_binary64`
146×	`add-sqr-sqrt_binary64`
120×	`*-un-lft-identity_binary64`
99×	`add-cube-cbrt_binary64`
44×	`cancel-sign-sub-inv_binary64`
21×	`add-exp-log_binary64`
19×	`associate-/r*_binary64`
15×	`difference-of-squares_binary64` `div-inv_binary64`
13×	`add-cbrt-cube_binary64`
10×	`div-exp_binary64`
9×	`associate-/l*_binary64`
7×	`distribute-lft-out--_binary64`
6×	`add-log-exp_binary64` `pow1_binary64`
5×	`cbrt-undiv_binary64`
3×	`1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
2×	`associate-/r/_binary64` `inv-pow_binary64` `pow-flip_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64` `frac-sub_binary64` `tan-quot_binary64`

Counts

4 → 213

Calls

4 calls:

42.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
7.0ms	(/.f64 1 (/.f64 (tan.f64 B) x))
4.0ms	(/.f64 (tan.f64 B) x)
4.0ms	(/.f64 1 (sin.f64 B))

series594.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

254.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
197.0ms	(/.f64 1 (/.f64 (tan.f64 B) x))
99.0ms	(/.f64 (tan.f64 B) x)
44.0ms	(/.f64 1 (sin.f64 B))

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5056	3455

prune249.0ms (3.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	223	2	225
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	225	11	236

Merged error: 0.0b

Counts

236 → 11

Compiler

Compiled 4435 to 2077 computations (53.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (/.f64 1 (tan.f64 B)) (/.f64 1 x)))
0.1b	(/.f64 1 (sin.f64 B))
0.2b	(/.f64 1 (tan.f64 B))
0.4b	(/.f64 (/.f64 1 (tan.f64 B)) (/.f64 1 x))

rewrite253.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

977×	`times-frac_binary64`
528×	`add-sqr-sqrt_binary64`
456×	`*-un-lft-identity_binary64`
413×	`add-cube-cbrt_binary64`
187×	`cancel-sign-sub-inv_binary64`
65×	`div-inv_binary64`
52×	`add-exp-log_binary64`
36×	`div-exp_binary64`
30×	`associate-/r/_binary64` `difference-of-squares_binary64`
28×	`tan-quot_binary64`
20×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
19×	`associate-/r*_binary64`
10×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `distribute-lft-out--_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64`
2×	`inv-pow_binary64` `pow-flip_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

4 → 539

Calls

4 calls:

142.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (/.f64 1 (tan.f64 B)) (/.f64 1 x)))
14.0ms	(/.f64 (/.f64 1 (tan.f64 B)) (/.f64 1 x))
4.0ms	(/.f64 1 (tan.f64 B))
4.0ms	(/.f64 1 (sin.f64 B))

series569.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

244.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (/.f64 1 (tan.f64 B)) (/.f64 1 x)))
187.0ms	(/.f64 (/.f64 1 (tan.f64 B)) (/.f64 1 x))
96.0ms	(/.f64 1 (tan.f64 B))
41.0ms	(/.f64 1 (sin.f64 B))

simplify150.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

551 → 551

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5347	13397

prune681.0ms (8.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	550	1	551
Fresh	0	8	8
Picked	1	0	1
Done	0	2	2
Total	551	11	562

Merged error: 0.0b

Counts

562 → 11

Compiler

Compiled 11921 to 6148 computations (48.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 x) (/.f64 (sin.f64 B) (tan.f64 B)))
0.2b	(/.f64 (sin.f64 B) x)
0.2b	(/.f64 (sin.f64 B) (tan.f64 B))
0.3b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (sin.f64 B) (tan.f64 B))) (/.f64 (sin.f64 B) x))

rewrite104.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

435×	`times-frac_binary64`
387×	`add-sqr-sqrt_binary64`
267×	`*-un-lft-identity_binary64`
132×	`add-cube-cbrt_binary64`
90×	`difference-of-squares_binary64`
45×	`distribute-lft-out--_binary64`
32×	`div-inv_binary64`
19×	`associate-/r*_binary64`
18×	`associate-/l*_binary64`
14×	`cancel-sign-sub-inv_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`pow1_binary64`
3×	`associate-/l/_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`flip3--_binary64` `flip--_binary64` `frac-sub_binary64` `tan-quot_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `div-sub_binary64`

Counts

4 → 290

Calls

4 calls:

27.0ms	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (sin.f64 B) (tan.f64 B))) (/.f64 (sin.f64 B) x))
18.0ms	(-.f64 (/.f64 1 x) (/.f64 (sin.f64 B) (tan.f64 B)))
5.0ms	(/.f64 (sin.f64 B) (tan.f64 B))
4.0ms	(/.f64 (sin.f64 B) x)

series583.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

273.0ms	(/.f64 (-.f64 (/.f64 1 x) (/.f64 (sin.f64 B) (tan.f64 B))) (/.f64 (sin.f64 B) x))
155.0ms	(-.f64 (/.f64 1 x) (/.f64 (sin.f64 B) (tan.f64 B)))
102.0ms	(/.f64 (sin.f64 B) (tan.f64 B))
53.0ms	(/.f64 (sin.f64 B) x)

simplify155.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4951	10532
1	4951	10532

prune425.0ms (5.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	301	1	302
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	302	11	313

Merged error: 0b

Counts

313 → 11

Compiler

Compiled 9467 to 3500 computations (63% saved)

regimes49.0ms (0.6%)

Compiler: Compiled 346 to 258 computations (25.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	14
1	26	14

end0.0ms (0%)

sample1.9s (23.6%)

Algorithm

1×

intervals

Results

808.0ms	2258×	body	1024	valid
307.0ms	3969×	body	128	valid
258.0ms	1170×	body	512	valid
91.0ms	600×	body	256	valid
11.0ms	162×	body	128	invalid
2.0ms	3×	body	2048	valid

Compiler

Compiled 193 to 147 computations (23.8% saved)

Details

analyze915.0ms (11.3%)

sample61.0ms (0.8%)

simplify184.0ms (2.3%)

prune9.0ms (0.1%)

localize11.0ms (0.1%)

rewrite36.0ms (0.5%)

series534.0ms (6.6%)

simplify74.0ms (0.9%)

prune338.0ms (4.2%)

localize10.0ms (0.1%)

rewrite78.0ms (1%)

series594.0ms (7.4%)

simplify81.0ms (1%)

prune249.0ms (3.1%)

localize11.0ms (0.1%)

rewrite253.0ms (3.1%)

series569.0ms (7.1%)

simplify150.0ms (1.9%)

prune681.0ms (8.4%)

localize14.0ms (0.2%)

rewrite104.0ms (1.3%)

series583.0ms (7.2%)

simplify155.0ms (1.9%)

prune425.0ms (5.3%)

regimes49.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (23.6%)

Profiling