Details

analyze497.0ms (7.3%)

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
0%	99.9%	0.1%	6
37.5%	50%	12.6%	7
37.5%	50%	12.6%	8
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	10
46.8%	31.2%	22%	11
46.8%	31.2%	22%	12
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.9s (57.8%)

Results

1.1s	2124×	body	1024	valid
1.1s	2040×	body	1024	invalid
642.0ms	4503×	body	128	valid
345.0ms	1085×	body	512	valid
332.0ms	1026×	body	512	invalid
122.0ms	518×	body	256	invalid
114.0ms	541×	body	256	valid
97.0ms	719×	body	128	invalid
4.0ms	3×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-neg_binary64`
610×	`div-sub_binary64`
491×	`times-frac_binary64`
410×	`associate-/l*_binary64`
352×	`cancel-sign-sub-inv_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	34	11
3	73	11
4	160	11
5	361	11
6	984	11
7	3177	11
8	4701	11
9	5010	11

prune2.0ms (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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.0b	(cos.f64 x)
✓	0.0b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(sinh.f64 y)

series58.0ms (0.9%)

Counts

4 → 52

Calls

4 calls:

33.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
12.0ms	(sinh.f64 y)
11.0ms	(/.f64 (sinh.f64 y) y)
2.0ms	(cos.f64 x)

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
19×	`times-frac_binary64`
13×	`associate-r_binary64`

Counts

4 → 83

Calls

4 calls:

5.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(cos.f64 x)
1.0ms	(sinh.f64 y)

simplify119.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

569×	`fma-def_binary64`
404×	`associate-/l*_binary64`
345×	`times-frac_binary64`
309×	`associate-*r/_binary64`
295×	`associate-*l/_binary64`

Counts

135 → 143

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	2179
1	561	2001
2	1764	1856
3	4736	1856
4	4996	1856
5	4950	1856

prune81.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	140	3	143
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	140	4	144

Error

Counts

144 → 4

Alt Table

Status	Error	Program
	0.7b	(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	0.1b	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
	30.5b	(*.f64 (cos.f64 x) (exp.f64 (-.f64 (log.f64 (sinh.f64 y)) (log.f64 y))))

Compiler

Compiled 2293 to 867 computations (62.2% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (cos.f64 x) (sinh.f64 y))
✓	0.2b	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)

series62.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

34.0ms	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
28.0ms	(*.f64 (cos.f64 x) (sinh.f64 y))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 45

Calls

2 calls:

4.0ms	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
3.0ms	(*.f64 (cos.f64 x) (sinh.f64 y))

simplify86.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

990×	`times-frac_binary64`
689×	`fma-def_binary64`
241×	`fma-neg_binary64`
199×	`cancel-sign-sub-inv_binary64`
140×	`sub-neg_binary64`

Counts

93 → 96

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	198	1937
1	526	1793
2	1931	1612
3	4537	1606
4	4977	1606

prune73.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	132	4	136

Error

Counts

136 → 4

Alt Table

Status	Error	Program
▶	0.7b	(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.1b	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
	30.5b	(*.f64 (cos.f64 x) (exp.f64 (-.f64 (log.f64 (sinh.f64 y)) (log.f64 y))))

Compiler

Compiled 2240 to 971 computations (56.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))
	0.0b	(cos.f64 x)
✓	0.1b	(*.f64 (pow.f64 y 2) (cos.f64 x))
✓	0.2b	(.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))

series47.0ms (0.7%)

Counts

3 → 15

Calls

3 calls:

17.0ms	(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))
15.0ms	(*.f64 (pow.f64 y 2) (cos.f64 x))
15.0ms	(.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64`
14×	`add-sqr-sqrt_binary64`
11×	`associate-l_binary64`
10×	`add-cbrt-cube_binary64`
10×	`prod-exp_binary64`

Counts

3 → 66

Calls

3 calls:

6.0ms	(.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))
4.0ms	(*.f64 (pow.f64 y 2) (cos.f64 x))
4.0ms	(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))

simplify86.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

978×	`fma-neg_binary64`
580×	`fma-def_binary64`
379×	`sub-neg_binary64`
346×	`*-commutative_binary64`
335×	`unswap-sqr_binary64`

Counts

81 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	1455
1	370	1256
2	1266	1200
3	3603	1191
4	4980	1191
5	5052	1191

prune135.0ms (2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	159	4	163

Error

Counts

163 → 4

Alt Table

Status	Error	Program
✓	0.7b	(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.1b	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
▶	30.5b	(*.f64 (cos.f64 x) (exp.f64 (-.f64 (log.f64 (sinh.f64 y)) (log.f64 y))))

Compiler

Compiled 2943 to 1686 computations (42.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cos.f64 x) (exp.f64 (-.f64 (log.f64 (sinh.f64 y)) (log.f64 y))))
	0.0b	(cos.f64 x)
	0.0b	(sinh.f64 y)
✓	1.7b	(-.f64 (log.f64 (sinh.f64 y)) (log.f64 y))

series1.1s (15.5%)

Counts

2 → 36

Calls

2 calls:

726.0ms	(*.f64 (cos.f64 x) (exp.f64 (-.f64 (log.f64 (sinh.f64 y)) (log.f64 y))))
327.0ms	(-.f64 (log.f64 (sinh.f64 y)) (log.f64 y))

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`prod-diff_binary64`
30×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`
27×	`associate-r_binary64`
27×	`pow1_binary64`

Counts

2 → 94

Calls

2 calls:

16.0ms	(*.f64 (cos.f64 x) (exp.f64 (-.f64 (log.f64 (sinh.f64 y)) (log.f64 y))))
5.0ms	(-.f64 (log.f64 (sinh.f64 y)) (log.f64 y))

simplify138.0ms (2%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-neg_binary64`
600×	`fma-def_binary64`
284×	`*-commutative_binary64`
244×	`sub-neg_binary64`
182×	`cancel-sign-sub-inv_binary64`

Counts

130 → 144

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	208	2638
1	410	2053
2	1253	1847
3	3471	1831
4	4730	1829
5	4998	1829
6	4911	1829

prune96.0ms (1.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	180	4	184

Error

Counts

184 → 4

Alt Table

Status	Error	Program
✓	0.7b	(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.1b	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
✓	30.5b	(*.f64 (cos.f64 x) (exp.f64 (-.f64 (log.f64 (sinh.f64 y)) (log.f64 y))))

Compiler

Compiled 3549 to 1208 computations (66% saved)

regimes131.0ms (1.9%)

Accuracy

Total 0.0b remaining (56.3%)

Threshold costs 0.0b (56.3%)

Counts

29 → 1

Compiler

Compiled 1681 to 1211 computations (28% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	7	11

end59.0ms (0.9%)

Compiler: Compiled 61 to 42 computations (31.1% saved)

Details

analyze497.0ms (7.3%)

sample3.9s (57.8%)

simplify52.0ms (0.8%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series58.0ms (0.9%)

rewrite12.0ms (0.2%)

simplify119.0ms (1.7%)

prune81.0ms (1.2%)

localize6.0ms (0.1%)

series62.0ms (0.9%)

rewrite9.0ms (0.1%)

simplify86.0ms (1.3%)

prune73.0ms (1.1%)

localize12.0ms (0.2%)

series47.0ms (0.7%)

rewrite17.0ms (0.2%)

simplify86.0ms (1.3%)

prune135.0ms (2%)

localize9.0ms (0.1%)

series1.1s (15.5%)

rewrite28.0ms (0.4%)

simplify138.0ms (2%)

prune96.0ms (1.4%)

regimes131.0ms (1.9%)

simplify2.0ms (0%)

end59.0ms (0.9%)

Profiling