Details

analyze491.0ms (8.7%)

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
6.2%	93.7%	0.1%	6
37.5%	53.1%	9.5%	7
37.5%	51.5%	11%	8
43.7%	39.8%	16.5%	9
43.7%	38.6%	17.7%	10
46.8%	32.6%	20.6%	11
46.8%	31.9%	21.3%	12
48.4%	28.8%	22.8%	13
48.4%	28.5%	23.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.8s (67%)

Results

1.1s	2111×	body	1024	valid
1.0s	2007×	body	1024	invalid
595.0ms	4637×	body	128	valid
338.0ms	1000×	body	512	invalid
301.0ms	982×	body	512	valid
131.0ms	523×	body	256	valid
110.0ms	489×	body	256	invalid
103.0ms	778×	body	128	invalid
3.0ms	3×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify53.0ms (0.9%)

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

prune1.0ms (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 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series53.0ms (0.9%)

Counts

3 → 48

Calls

3 calls:

34.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
11.0ms	(/.f64 (sinh.f64 y) y)
8.0ms	(sinh.f64 y)

rewrite53.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
142×	`log1p-udef_binary64`
80×	`egg-rr`
78×	`add-sqr-sqrt_binary64`

Counts

3 → 80

Calls

3 calls:

51.0ms	(/.f64 (sinh.f64 y) y)
51.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
51.0ms	(sinh.f64 y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	148	20
2	1947	20
3	5022	20
0	0	0
1	0	0

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

994×	`fma-neg_binary64`
985×	`times-frac_binary64`
492×	`fma-def_binary64`
219×	`associate-l_binary64`
218×	`associate-/l*_binary64`

Counts

128 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1037
1	362	985
2	1115	957
3	3801	955
4	5984	955

prune74.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	3	120

Error

Counts

120 → 3

Alt Table

Status	Error	Program
	0.6b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
	13.3b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
▶	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))

Compiler

Compiled 1773 to 848 computations (52.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series61.0ms (1.1%)

Counts

2 → 36

Calls

2 calls:

32.0ms	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
28.0ms	(/.f64 y (sinh.f64 y))

rewrite53.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

855×	`log1p-expm1-u_binary64`
855×	`expm1-log1p-u_binary64`
82×	`add-sqr-sqrt_binary64`
80×	`prod-diff_binary64`
77×	`egg-rr`

Counts

2 → 77

Calls

2 calls:

52.0ms	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
52.0ms	(/.f64 y (sinh.f64 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	154	17
2	2168	17
3	5427	17
0	0	0
1	0	0

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

921×	`times-frac_binary64`
381×	`sub-neg_binary64`
359×	`fma-def_binary64`
206×	`associate-/l*_binary64`
168×	`associate-r_binary64`

Counts

113 → 106

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	887
1	317	851
2	998	832
3	3544	832
4	5172	832

prune75.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	138	3	141

Error

Counts

141 → 3

Alt Table

Status	Error	Program
▶	0.6b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
	13.3b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))

Compiler

Compiled 2050 to 905 computations (55.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series53.0ms (0.9%)

Counts

3 → 15

Calls

3 calls:

19.0ms	(*.f64 (pow.f64 y 2) (sin.f64 x))
17.0ms	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
17.0ms	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))

rewrite88.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

948×	`prod-diff_binary64`
312×	`fma-def_binary64`
207×	`fma-neg_binary64`
184×	`expm1-udef_binary64`
184×	`log1p-udef_binary64`

Counts

3 → 83

Calls

3 calls:

86.0ms	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
86.0ms	(*.f64 (pow.f64 y 2) (sin.f64 x))
86.0ms	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	214	36
2	2482	34
3	4847	34
4	4890	34
0	0	0
1	0	0

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

462×	`fma-def_binary64`
382×	`cancel-sign-sub-inv_binary64`
369×	`distribute-rgt-neg-in_binary64`
353×	`distribute-lft-neg-in_binary64`
344×	`sub-neg_binary64`

Counts

98 → 110

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	435
1	192	411
2	671	361
3	2811	343
4	4837	343
5	4937	343

prune76.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Error

Counts

113 → 3

Alt Table

Status	Error	Program
✓	0.6b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
▶	13.3b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))

Compiler

Compiled 2020 to 1061 computations (47.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (sinh.f64 y) (sin.f64 x))
✓	13.4b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)

series54.0ms (1%)

Counts

2 → 48

Calls

2 calls:

32.0ms	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
21.0ms	(*.f64 (sinh.f64 y) (sin.f64 x))

rewrite50.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

788×	`log1p-expm1-u_binary64`
788×	`expm1-log1p-u_binary64`
78×	`add-sqr-sqrt_binary64`
72×	`add-log-exp_binary64`
71×	`add-cube-cbrt_binary64`

Counts

2 → 60

Calls

2 calls:

49.0ms	(*.f64 (sinh.f64 y) (sin.f64 x))
49.0ms	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	148	19
2	2001	19
3	4966	19
0	0	0
1	0	0

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
624×	`sub-neg_binary64`
296×	`associate--r+_binary64`
268×	`associate--l+_binary64`
257×	`associate-/l*_binary64`

Counts

108 → 99

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	1355
1	430	1319
2	1400	1210
3	4780	1210
4	5376	1210

prune62.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	131	3	134

Error

Counts

134 → 3

Alt Table

Status	Error	Program
✓	0.6b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
✓	13.3b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))

Compiler

Compiled 2167 to 1020 computations (52.9% saved)

regimes233.0ms (4.1%)

Accuracy

Total 0.1b remaining (74.3%)

Threshold costs 0.1b (74.3%)

Counts

54 → 1

Compiler

Compiled 3261 to 2290 computations (29.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	10	16

end52.0ms (0.9%)

Compiler: Compiled 55 to 39 computations (29.1% saved)

Details

analyze491.0ms (8.7%)

sample3.8s (67%)

simplify53.0ms (0.9%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series53.0ms (0.9%)

rewrite53.0ms (0.9%)

simplify63.0ms (1.1%)

prune74.0ms (1.3%)

localize6.0ms (0.1%)

series61.0ms (1.1%)

rewrite53.0ms (0.9%)

simplify61.0ms (1.1%)

prune75.0ms (1.3%)

localize7.0ms (0.1%)

series53.0ms (0.9%)

rewrite88.0ms (1.6%)

simplify60.0ms (1.1%)

prune76.0ms (1.3%)

localize6.0ms (0.1%)

series54.0ms (1%)

rewrite50.0ms (0.9%)

simplify69.0ms (1.2%)

prune62.0ms (1.1%)

regimes233.0ms (4.1%)

simplify2.0ms (0%)

end52.0ms (0.9%)

Profiling