Details

analyze519.0ms (8.2%)

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
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.0s (63.5%)

Results

1.2s	2178×	body	1024	valid
1.0s	1962×	body	1024	invalid
632.0ms	4551×	body	128	valid
337.0ms	1040×	body	512	invalid
320.0ms	962×	body	512	valid
132.0ms	558×	body	256	valid
122.0ms	507×	body	256	invalid
107.0ms	720×	body	128	invalid
7.0ms	7×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify92.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
772×	`unswap-sqr_binary64`
448×	`associate-/l*_binary64`
363×	`times-frac_binary64`
280×	`associate-/r*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	32	11
3	60	11
4	107	11
5	169	11
6	327	11
7	806	11
8	2101	11
9	2217	11
10	2592	11
11	4159	11
12	4537	11
13	4915	11
14	4955	11
15	4919	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

0.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.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	(sin.f64 y)
✓	0.0b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓	0.1b	(/.f64 (sin.f64 y) y)

series37.0ms (0.6%)

Counts

3 → 32

Calls

3 calls:

32.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(sin.f64 y)

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

6.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms	(/.f64 (sin.f64 y) y)
1.0ms	(sin.f64 y)

simplify98.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

424×	`associate-l_binary64`
390×	`associate-*l/_binary64`
354×	`associate-*r/_binary64`
345×	`fma-def_binary64`
338×	`associate-/l*_binary64`

Counts

106 → 135

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	1789
1	468	1652
2	1485	1630
3	4437	1629
4	4841	1629
5	4955	1629

prune141.0ms (2.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	127	8	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	8	136

Error

0.0b

Counts

136 → 8

Alt Table

Status	Error	Program
	32.5b	(*.f64 (cosh.f64 x) (/.f64 (exp.f64 (log.f64 (sin.f64 y))) y))
	0.2b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	20.6b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	0.2b	(*.f64 (cosh.f64 x) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y))
▶	0.1b	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
	34.3b	(.f64 (cosh.f64 x) (fma.f64 (.f64 y y) -1/6 1))
	35.0b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))

Compiler

Compiled 2258 to 811 computations (64.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series60.0ms (1%)

Counts

2 → 48

Calls

2 calls:

35.0ms	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
25.0ms	(*.f64 (cosh.f64 x) (sin.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 (cosh.f64 x) (sin.f64 y)) y)
3.0ms	(*.f64 (cosh.f64 x) (sin.f64 y))

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

811×	`times-frac_binary64`
687×	`associate-/l*_binary64`
593×	`fma-def_binary64`
301×	`associate-/l/_binary64`
222×	`cancel-sign-sub-inv_binary64`

Counts

93 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	1891
1	487	1733
2	1662	1555
3	5012	1555

prune95.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	121	8	129

Error

0.0b

Counts

129 → 8

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	32.5b	(*.f64 (cosh.f64 x) (/.f64 (exp.f64 (log.f64 (sin.f64 y))) y))
	0.2b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	20.6b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
▶	0.2b	(*.f64 (cosh.f64 x) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y))
	34.3b	(.f64 (cosh.f64 x) (fma.f64 (.f64 y y) -1/6 1))
	35.0b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))

Compiler

Compiled 2146 to 925 computations (56.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y))
✓	0.1b	(/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y)
✓	0.1b	(expm1.f64 (log1p.f64 (sin.f64 y)))
✓	0.3b	(log1p.f64 (sin.f64 y))

series243.0ms (3.8%)

Counts

4 → 60

Calls

4 calls:

198.0ms	(log1p.f64 (sin.f64 y))
33.0ms	(*.f64 (cosh.f64 x) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y))
8.0ms	(expm1.f64 (log1p.f64 (sin.f64 y)))
3.0ms	(/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y)

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 → 88

Calls

4 calls:

5.0ms	(*.f64 (cosh.f64 x) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y))
2.0ms	(/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y)
0.0ms	(log1p.f64 (sin.f64 y))
0.0ms	(expm1.f64 (log1p.f64 (sin.f64 y)))

simplify109.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

823×	`fma-def_binary64`
390×	`associate-*l/_binary64`
354×	`associate-*r/_binary64`
338×	`associate-/l*_binary64`
248×	`cancel-sign-sub-inv_binary64`

Counts

148 → 184

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	2058
1	511	1909
2	1580	1883
3	4409	1874
4	4992	1874
5	4952	1874

prune120.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	184	8	192

Error

0.0b

Counts

192 → 8

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
▶	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	32.5b	(*.f64 (cosh.f64 x) (/.f64 (exp.f64 (log.f64 (sin.f64 y))) y))
	0.2b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	20.6b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y))
	34.3b	(.f64 (cosh.f64 x) (fma.f64 (.f64 y y) -1/6 1))
	35.0b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))

Compiler

Compiled 3145 to 1042 computations (66.9% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(/.f64 y (sin.f64 y))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

series43.0ms (0.7%)

Counts

2 → 28

Calls

2 calls:

36.0ms	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
7.0ms	(/.f64 y (sin.f64 y))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
52×	`add-cube-cbrt_binary64`
16×	`associate-/r*_binary64`

Counts

2 → 102

Calls

2 calls:

6.0ms	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
2.0ms	(/.f64 y (sin.f64 y))

simplify122.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-def_binary64`
471×	`associate-/l/_binary64`
439×	`associate-/r/_binary64`
402×	`associate-/l*_binary64`
378×	`times-frac_binary64`

Counts

130 → 169

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	2824
1	555	2683
2	1702	2505
3	4312	2497
4	4984	2497
5	4975	2497

prune122.0ms (1.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	183	3	186
Fresh	3	2	5
Picked	0	1	1
Done	0	2	2
Total	186	8	194

Error

Counts

194 → 8

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	32.5b	(*.f64 (cosh.f64 x) (/.f64 (exp.f64 (log.f64 (sin.f64 y))) y))
	20.6b	(*.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 y))) y))
	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
	0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
	34.9b	(/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))

Compiler

Compiled 3149 to 928 computations (70.5% saved)

regimes269.0ms (4.3%)

Accuracy

Total 0.1b remaining (64.2%)

Threshold costs 0.1b (64.2%)

Counts

60 → 1

Compiler

Compiled 4451 to 2791 computations (37.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11
2	8	11

end91.0ms (1.4%)

Compiler: Compiled 103 to 71 computations (31.1% saved)

Details

analyze519.0ms (8.2%)

sample4.0s (63.5%)

simplify92.0ms (1.5%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series37.0ms (0.6%)

rewrite12.0ms (0.2%)

simplify98.0ms (1.6%)

prune141.0ms (2.2%)

localize9.0ms (0.1%)

series60.0ms (1%)

rewrite9.0ms (0.1%)

simplify59.0ms (0.9%)

prune95.0ms (1.5%)

localize12.0ms (0.2%)

series243.0ms (3.8%)

rewrite12.0ms (0.2%)

simplify109.0ms (1.7%)

prune120.0ms (1.9%)

localize6.0ms (0.1%)

series43.0ms (0.7%)

rewrite16.0ms (0.2%)

simplify122.0ms (1.9%)

prune122.0ms (1.9%)

regimes269.0ms (4.3%)

simplify3.0ms (0%)

end91.0ms (1.4%)

Profiling