Details

analyze485.0ms (10.9%)

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)

sample88.0ms (2%)

Algorithm

1×

intervals

Results

31.0ms	75×	body	1024	invalid
21.0ms	67×	body	1024	valid
8.0ms	140×	body	128	valid
5.0ms	34×	body	512	invalid
5.0ms	30×	body	512	valid
2.0ms	19×	body	256	valid
2.0ms	28×	body	128	invalid
1.0ms	9×	body	256	invalid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify55.0ms (1.2%)

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)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series52.0ms (1.2%)

Counts

3 → 48

Calls

3 calls:

33.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
11.0ms	(/.f64 (sinh.f64 y) y)
8.0ms	(sinh.f64 y)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

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

simplify86.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Counts

122 → 125

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	2067
1	528	1896
2	1670	1755
3	4556	1755
4	5388	1755

prune99.0ms (2.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	2	126

Error

Counts

126 → 2

Alt Table

Status	Error	Program
	0.4b	(.f64 (cos.f64 x) (+.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))))))
▶	0.1b	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)

Compiler

Compiled 2026 to 766 computations (62.2% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	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)

series60.0ms (1.4%)

Counts

2 → 48

Calls

2 calls:

37.0ms	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
23.0ms	(*.f64 (cos.f64 x) (sinh.f64 y))

rewrite10.0ms (0.2%)

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

simplify81.0ms (1.8%)

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

prune67.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	116	2	118

Error

Counts

118 → 2

Alt Table

Status	Error	Program
▶	0.4b	(.f64 (cos.f64 x) (+.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))))))
✓	0.1b	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)

Compiler

Compiled 2016 to 859 computations (57.4% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 x) (+.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))))))
✓	0.1b	(*.f64 1/5040 (pow.f64 y 6))
✓	0.1b	(fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6)))
✓	0.2b	(fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (.f64 1/5040 (pow.f64 y 6))))

series58.0ms (1.3%)

Counts

4 → 48

Calls

4 calls:

46.0ms	(.f64 (cos.f64 x) (+.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))))))
4.0ms	(fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (.f64 1/5040 (pow.f64 y 6))))
4.0ms	(fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6)))
3.0ms	(*.f64 1/5040 (pow.f64 y 6))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
11×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-exp-log_binary64`
9×	`add-cube-cbrt_binary64`

Counts

4 → 72

Calls

4 calls:

5.0ms	(.f64 (cos.f64 x) (+.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))))))
4.0ms	(*.f64 1/5040 (pow.f64 y 6))
0.0ms	(fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (.f64 1/5040 (pow.f64 y 6))))
0.0ms	(fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6)))

simplify97.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

848×	`fma-neg_binary64`
713×	`associate-+r+_binary64`
445×	`associate--r+_binary64`
360×	`associate--l+_binary64`
192×	`cancel-sign-sub-inv_binary64`

Counts

120 → 126

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	2894
1	486	2652
2	1819	2605
3	4874	2603
4	5652	2603

prune135.0ms (3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	126	2	128

Error

Counts

128 → 2

Alt Table

Status	Error	Program
✓	0.4b	(.f64 (cos.f64 x) (+.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))))))
✓	0.1b	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)

Compiler

Compiled 3834 to 2650 computations (30.9% saved)

regimes586.0ms (13.2%)

Accuracy

Total 0.0b remaining (46.1%)

Threshold costs 0.0b (46.1%)

Counts

115 → 1

Compiler

Compiled 8219 to 5332 computations (35.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	12	11
2	11	11

end0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

sample2.4s (54.5%)

Algorithm

1×

intervals

Results

666.0ms	2024×	body	1024	valid
582.0ms	1960×	body	1024	invalid
242.0ms	4443×	body	128	valid
180.0ms	1043×	body	512	valid
149.0ms	923×	body	512	invalid
52.0ms	486×	body	256	invalid
52.0ms	485×	body	256	valid
47.0ms	655×	body	128	invalid
5.0ms	5×	body	2048	valid

Compiler

Compiled 52 to 38 computations (26.9% saved)

Details

analyze485.0ms (10.9%)

sample88.0ms (2%)

simplify55.0ms (1.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series52.0ms (1.2%)

rewrite15.0ms (0.3%)

simplify86.0ms (1.9%)

prune99.0ms (2.2%)

localize5.0ms (0.1%)

series60.0ms (1.4%)

rewrite10.0ms (0.2%)

simplify81.0ms (1.8%)

prune67.0ms (1.5%)

localize17.0ms (0.4%)

series58.0ms (1.3%)

rewrite16.0ms (0.3%)

simplify97.0ms (2.2%)

prune135.0ms (3%)

regimes586.0ms (13.2%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.4s (54.5%)

Profiling