Details

analyze36.0ms (1.3%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.9s (69%)

Results

989.0ms	2062×	body	1024	valid
513.0ms	4659×	body	128	valid
268.0ms	1035×	body	512	valid
92.0ms	497×	body	256	valid
4.0ms	3×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify54.0ms (1.9%)

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 (0.1%)

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

0.0b

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 (0.2%)

Local error

Found 1 expressions with local error:

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

series38.0ms (1.3%)

Counts

1 → 24

Calls

1 calls:

37.0ms

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

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`

Counts

1 → 34

Calls

1 calls:

8.0ms

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

simplify69.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

421×	`associate-l_binary64`
398×	`associate-/l*_binary64`
376×	`fma-def_binary64`
348×	`times-frac_binary64`
295×	`associate-*r/_binary64`

Counts

58 → 60

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	1261
1	440	1168
2	1496	1151
3	4457	1149
4	4993	1149

prune39.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	2	61

Error

Counts

61 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	5.0b	(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))

Status

Error

Program

✓

0.0b

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

▶

5.0b

(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))

Compiler

Compiled 1207 to 474 computations (60.7% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x)))
✓	1.2b	(*.f64 (pow.f64 y 6) (sin.f64 x))
✓	1.7b	(*.f64 (pow.f64 y 4) (sin.f64 x))
✓	4.6b	(*.f64 (pow.f64 y 2) (sin.f64 x))

series136.0ms (4.8%)

Counts

4 → 16

Calls

4 calls:

86.0ms	(*.f64 (pow.f64 y 6) (sin.f64 x))
21.0ms	(.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x)))
15.0ms	(*.f64 (pow.f64 y 2) (sin.f64 x))
14.0ms	(*.f64 (pow.f64 y 4) (sin.f64 x))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
29×	`add-exp-log_binary64`
25×	`associate-l_binary64`
16×	`prod-exp_binary64`
15×	`add-cbrt-cube_binary64`

Counts

4 → 104

Calls

4 calls:

6.0ms	(*.f64 (pow.f64 y 2) (sin.f64 x))
4.0ms	(.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x)))
4.0ms	(*.f64 (pow.f64 y 6) (sin.f64 x))
4.0ms	(*.f64 (pow.f64 y 4) (sin.f64 x))

simplify118.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

803×	`fma-neg_binary64`
456×	`fma-def_binary64`
322×	`cancel-sign-sub-inv_binary64`
291×	`associate-r_binary64`
278×	`associate-l_binary64`

Counts

120 → 165

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	1915
1	491	1695
2	1603	1631
3	3370	1625
4	4567	1625
5	4840	1625
6	4974	1625

prune170.0ms (6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	165	2	167

Error

Counts

167 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	5.0b	(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))

Status

Error

Program

✓

0.0b

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

✓

5.0b

(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))

Compiler

Compiled 6039 to 3781 computations (37.4% saved)

regimes103.0ms (3.6%)

Accuracy

Total 0.0b remaining (75.9%)

Threshold costs 0.0b (75.9%)

Counts

18 → 1

Compiler

Compiled 2020 to 1256 computations (37.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	11	23
2	11	23

end54.0ms (1.9%)

Compiler: Compiled 72 to 43 computations (40.3% saved)

Details

analyze36.0ms (1.3%)

sample1.9s (69%)

simplify54.0ms (1.9%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series38.0ms (1.3%)

rewrite10.0ms (0.4%)

simplify69.0ms (2.4%)

prune39.0ms (1.4%)

localize16.0ms (0.6%)

series136.0ms (4.8%)

rewrite23.0ms (0.8%)

simplify118.0ms (4.2%)

prune170.0ms (6%)

regimes103.0ms (3.6%)

simplify2.0ms (0.1%)

end54.0ms (1.9%)

Profiling