Details

analyze1.3s (13.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	546	28
1	546	28
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
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)

sample56.0ms (0.6%)

Algorithm

1×

intervals

Results

18.0ms	69×	body	1024	valid
9.0ms	127×	body	128	valid
9.0ms	42×	body	512	valid
6.0ms	18×	body	256	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	140	14
1	140	14

prune6.0ms (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

Error

0.1b

Counts

2 → 2

Compiler

Compiled 30 to 27 computations (10% saved)

localize9.0ms (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))

rewrite148.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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-/l_binary64` `associate-/r_binary64` `difference-of-squares_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `div-inv_binary64`
3×	`div-exp_binary64` `distribute-lft-out--_binary64`
2×	`cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `tan-quot_binary64` `associate-/r/_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `diff-log_binary64` `frac-sub_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64`

Counts

3 → 94

Calls

3 calls:

17.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
7.0ms	(/.f64 1 (sin.f64 B))
5.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 1561 to 635 computations (59.3% saved)

series651.0ms (7.1%)

Error

0.1b

Counts

3 → 25

Calls

3 calls:

322.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
262.0ms	(/.f64 x (tan.f64 B))
41.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 844 to 557 computations (34% saved)

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4914	1698
1	4914	1698

prune161.0ms (1.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	110	9	119
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	112	9	121

Error

0.0b

Counts

121 → 9

Compiler

Compiled 1810 to 770 computations (57.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite141.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64` `times-frac_binary64`
15×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
8×	`div-inv_binary64`
7×	`pow1_binary64` `cancel-sign-sub-inv_binary64`
6×	`add-log-exp_binary64` `associate-/r*_binary64`
4×	`div-exp_binary64` `associate-/l*_binary64`
3×	`cbrt-undiv_binary64` `associate-l_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `distribute-lft-out--_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `diff-log_binary64` `frac-sub_binary64` `sub-div_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64`

Counts

4 → 98

Calls

4 calls:

12.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
9.0ms	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
8.0ms	(*.f64 x (cos.f64 B))
4.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1848 to 644 computations (65.2% saved)

series632.0ms (6.9%)

Error

0.0b

Counts

4 → 32

Calls

4 calls:

251.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
189.0ms	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
119.0ms	(*.f64 x (cos.f64 B))
41.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1143 to 725 computations (36.6% saved)

simplify118.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4961	1820
1	4961	1820

prune129.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	131	8	139

Error

0.0b

Counts

139 → 8

Compiler

Compiled 2190 to 850 computations (61.2% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite146.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

33×	`add-sqr-sqrt_binary64`
28×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `times-frac_binary64`
15×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64` `associate-l_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-/l_binary64` `associate-/r_binary64`
4×	`div-exp_binary64`
3×	`cbrt-undiv_binary64` `associate-l/_binary64` `div-inv_binary64` `associate-r*_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64` `inv-pow_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `diff-log_binary64` `frac-sub_binary64` `sub-div_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 104

Calls

4 calls:

12.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
8.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
3.0ms	(/.f64 1 (sin.f64 B))
3.0ms	(/.f64 x (sin.f64 B))

Compiler

Compiled 2008 to 687 computations (65.8% saved)

series609.0ms (6.7%)

Error

0.0b

Counts

4 → 32

Calls

4 calls:

285.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
148.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
102.0ms	(/.f64 x (sin.f64 B))
51.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1147 to 726 computations (36.7% saved)

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5203	1912

prune133.0ms (1.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	136	8	144

Error

0.0b

Counts

144 → 8

Compiler

Compiled 2407 to 859 computations (64.3% saved)

localize9.0ms (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)
0.3b	(/.f64 1 (/.f64 (tan.f64 B) x))

rewrite312.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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×	`div-inv_binary64` `difference-of-squares_binary64`
13×	`add-cbrt-cube_binary64`
10×	`div-exp_binary64`
9×	`associate-/l*_binary64`
7×	`distribute-lft-out--_binary64`
6×	`pow1_binary64` `add-log-exp_binary64`
5×	`cbrt-undiv_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `frac-2neg_binary64` `clear-num_binary64`
2×	`inv-pow_binary64` `pow-flip_binary64` `associate-/r/_binary64`
1×	`tan-quot_binary64` `associate-/l/_binary64` `diff-log_binary64` `frac-sub_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64`

Counts

4 → 213

Calls

4 calls:

42.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
6.0ms	(/.f64 1 (/.f64 (tan.f64 B) x))
4.0ms	(/.f64 (tan.f64 B) x)
3.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 4456 to 2172 computations (51.3% saved)

series814.0ms (8.9%)

Error

0.0b

Counts

4 → 34

Calls

4 calls:

322.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
243.0ms	(/.f64 1 (/.f64 (tan.f64 B) x))
177.0ms	(/.f64 (tan.f64 B) x)
45.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1258 to 850 computations (32.4% saved)

simplify127.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4932	4124
1	4932	4124

prune237.0ms (2.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	247	8	255

Error

0.0b

Counts

255 → 8

Compiler

Compiled 4094 to 1656 computations (59.6% saved)

regimes301.0ms (3.3%)

Accuracy

Total 0.2b remaining (96.4%)

Threshold costs 0.2b (96.4%)

Compiler

Compiled 2314 to 1644 computations (29% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	19
1	44	19

end0.0ms (0%)

sample2.9s (31.7%)

Algorithm

1×

intervals

Results

778.0ms	2280×	body	1024	valid
359.0ms	4020×	body	128	valid
284.0ms	1117×	body	512	valid
106.0ms	577×	body	256	valid
15.0ms	189×	body	128	invalid
3.0ms	6×	body	2048	valid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 787 to 561 computations (28.7% saved)

Details

analyze1.3s (13.9%)

sample56.0ms (0.6%)

simplify14.0ms (0.2%)

prune6.0ms (0.1%)

localize9.0ms (0.1%)

rewrite148.0ms (1.6%)

series651.0ms (7.1%)

simplify91.0ms (1%)

prune161.0ms (1.8%)

localize17.0ms (0.2%)

rewrite141.0ms (1.5%)

series632.0ms (6.9%)

simplify118.0ms (1.3%)

prune129.0ms (1.4%)

localize8.0ms (0.1%)

rewrite146.0ms (1.6%)

series609.0ms (6.7%)

simplify91.0ms (1%)

prune133.0ms (1.5%)

localize9.0ms (0.1%)

rewrite312.0ms (3.4%)

series814.0ms (8.9%)

simplify127.0ms (1.4%)

prune237.0ms (2.6%)

regimes301.0ms (3.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.9s (31.7%)

Profiling