Details

analyze107.0ms (4.1%)

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
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample54.0ms (2.1%)

Algorithm

1×

intervals

Results

15.0ms	45×	body	1024	valid
9.0ms	172×	body	128	valid
3.0ms	23×	body	512	valid
2.0ms	15×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	12	9
3	16	9
4	17	9
5	17	9

prune1.0ms (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

0.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.2b	(*.f64 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series16.0ms (0.6%)

Counts

2 → 28

Calls

2 calls:

13.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

5.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

simplify93.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

722×	`fma-neg_binary64`
645×	`fma-def_binary64`
532×	`associate-/r/_binary64`
459×	`cancel-sign-sub-inv_binary64`
343×	`associate-l_binary64`

Counts

91 → 96

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1147
1	268	1057
2	843	1043
3	2436	1039
4	4592	1039
5	4999	1039
6	4947	1039

prune56.0ms (2.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	89	7	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	7	97

Error

0.0b

Counts

97 → 7

Alt Table

Status	Error	Program
	6.2b	(/.f64 (*.f64 (sin.f64 y) x) y)
	5.4b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))
▶	0.2b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
	27.9b	(.f64 (sqrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
	37.6b	(.f64 x (cbrt.f64 (/.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)) (.f64 (*.f64 y y) y))))
	14.4b	(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
	6.3b	(.f64 (.f64 x (sin.f64 y)) (/.f64 1 y))

Compiler

Compiled 1365 to 477 computations (65.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (sin.f64 y))
✓	0.1b	(/.f64 1 (/.f64 y (sin.f64 y)))
✓	0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))

series23.0ms (0.9%)

Counts

3 → 40

Calls

3 calls:

13.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
7.0ms	(/.f64 y (sin.f64 y))
3.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite38.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64`
103×	`add-sqr-sqrt_binary64`
91×	`*-un-lft-identity_binary64`
89×	`add-cube-cbrt_binary64`
44×	`associate-r_binary64`

Counts

3 → 182

Calls

3 calls:

13.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
4.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
2.0ms	(/.f64 y (sin.f64 y))

simplify152.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-neg_binary64`
585×	`fma-def_binary64`
359×	`times-frac_binary64`
226×	`cancel-sign-sub-inv_binary64`
220×	`sub-neg_binary64`

Counts

222 → 285

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	180	3095
1	387	2736
2	1122	2693
3	2662	2687
4	3927	2687
5	4641	2687
6	4996	2687

prune166.0ms (6.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	282	3	285
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	286	6	292

Error

Counts

292 → 6

Alt Table

Status	Error	Program
	0.2b	(*.f64 x (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
	5.4b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))
	6.2b	(/.f64 (*.f64 (sin.f64 y) x) y)
	0.2b	(*.f64 x (expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))))
▶	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
	37.6b	(.f64 x (cbrt.f64 (/.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)) (.f64 (*.f64 y y) y))))

Compiler

Compiled 4770 to 1920 computations (59.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
	0.1b	(/.f64 y (sin.f64 y))

series12.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

12.0ms

(/.f64 x (/.f64 y (sin.f64 y)))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
43×	`add-cube-cbrt_binary64`
13×	`associate-/r*_binary64`

Counts

1 → 72

Calls

1 calls:

4.0ms

(/.f64 x (/.f64 y (sin.f64 y)))

simplify91.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

901×	`fma-neg_binary64`
421×	`fma-def_binary64`
349×	`associate-/r/_binary64`
324×	`associate-/l*_binary64`
320×	`associate-/l/_binary64`

Counts

96 → 118

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	169	1738
1	372	1665
2	1092	1654
3	2969	1650
4	4549	1648
5	5182	1648

prune83.0ms (3.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	158	6	164

Error

Counts

164 → 6

Alt Table

Status	Error	Program
	0.2b	(*.f64 x (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
	5.4b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))
	6.2b	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	0.2b	(*.f64 x (expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
	37.6b	(.f64 x (cbrt.f64 (/.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)) (.f64 (*.f64 y y) y))))

Compiler

Compiled 2400 to 668 computations (72.2% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
✓	0.0b	(log1p.f64 (/.f64 (sin.f64 y) y))
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.1b	(*.f64 x (expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))))

series23.0ms (0.9%)

Counts

3 → 48

Calls

3 calls:

14.0ms	(*.f64 x (expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))))
6.0ms	(log1p.f64 (/.f64 (sin.f64 y) y))
3.0ms	(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`
5×	`add-exp-log_binary64`

Counts

3 → 42

Calls

3 calls:

3.0ms	(*.f64 x (expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))))
0.0ms	(log1p.f64 (/.f64 (sin.f64 y) y))
0.0ms	(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))

simplify77.0ms (3%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-neg_binary64`
347×	`associate-l_binary64`
302×	`associate-r_binary64`
296×	`distribute-rgt-neg-in_binary64`
272×	`distribute-lft-neg-in_binary64`

Counts

90 → 92

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1162
1	262	1073
2	770	1043
3	2834	1031
4	4807	1031
5	5038	1031

prune78.0ms (3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	131	6	137

Error

Counts

137 → 6

Alt Table

Status	Error	Program
	0.2b	(*.f64 x (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
	5.4b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))
	6.2b	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	0.2b	(*.f64 x (expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y))))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
	37.6b	(.f64 x (cbrt.f64 (/.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)) (.f64 (*.f64 y y) y))))

Compiler

Compiled 1908 to 766 computations (59.9% saved)

regimes264.0ms (10.2%)

Accuracy

Total 0.1b remaining (83%)

Threshold costs 0.1b (83%)

Counts

66 → 1

Compiler

Compiled 3817 to 2326 computations (39.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	6	9

end0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

sample1.2s (46.3%)

Algorithm

1×

intervals

Results

396.0ms	1290×	body	1024	valid
292.0ms	5405×	body	128	valid
130.0ms	823×	body	512	valid
59.0ms	478×	body	256	valid
2.0ms	4×	body	2048	valid

Compiler

Compiled 93 to 57 computations (38.7% saved)

Details

analyze107.0ms (4.1%)

sample54.0ms (2.1%)

simplify7.0ms (0.3%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series16.0ms (0.6%)

rewrite11.0ms (0.4%)

simplify93.0ms (3.6%)

prune56.0ms (2.2%)

localize6.0ms (0.2%)

series23.0ms (0.9%)

rewrite38.0ms (1.5%)

simplify152.0ms (5.9%)

prune166.0ms (6.4%)

localize4.0ms (0.2%)

series12.0ms (0.5%)

rewrite10.0ms (0.4%)

simplify91.0ms (3.5%)

prune83.0ms (3.2%)

localize7.0ms (0.3%)

series23.0ms (0.9%)

rewrite5.0ms (0.2%)

simplify77.0ms (3%)

prune78.0ms (3%)

regimes264.0ms (10.2%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (46.3%)

Profiling