Details

analyze489.0ms (7.6%)

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)

sample3.9s (60.5%)

Results

1.1s	2070×	body	1024	valid
1.1s	2029×	body	1024	invalid
607.0ms	4642×	body	128	valid
343.0ms	1015×	body	512	valid
341.0ms	1065×	body	512	invalid
121.0ms	524×	body	256	valid
114.0ms	488×	body	256	invalid
110.0ms	753×	body	128	invalid
8.0ms	2×	body	2048	invalid
7.0ms	5×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify94.0ms (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:

5.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms	(/.f64 (sin.f64 y) y)
1.0ms	(sin.f64 y)

simplify95.0ms (1.5%)

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

prune130.0ms (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
	0.3b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	19.9b	(.f64 (cosh.f64 x) (cbrt.f64 (.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))))
	15.4b	(.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
	24.0b	(*.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 3)) y))
	33.0b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
	29.8b	(*.f64 (cosh.f64 x) (/.f64 (log.f64 (exp.f64 (sin.f64 y))) y))
	32.2b	(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
▶	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))

Compiler

Compiled 2296 to 817 computations (64.4% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.0b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
✓	0.1b	(/.f64 1 (/.f64 y (sin.f64 y)))
✓	0.2b	(/.f64 y (sin.f64 y))

series46.0ms (0.7%)

Counts

3 → 40

Calls

3 calls:

36.0ms	(*.f64 (cosh.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)))

rewrite37.0ms (0.6%)

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 → 184

Calls

3 calls:

12.0ms	(*.f64 (cosh.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))

simplify126.0ms (2%)

Algorithm

1×	egg-herbie

Rules

859×	`fma-def_binary64`
490×	`associate-*l/_binary64`
467×	`times-frac_binary64`
388×	`associate-/l*_binary64`
307×	`associate-/r/_binary64`

Counts

224 → 296

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	234	3797
1	543	3411
2	1706	3085
3	4404	3081
4	4975	3081

prune209.0ms (3.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	309	4	313
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	312	9	321

Error

Counts

321 → 9

Alt Table

Status	Error	Program
	0.3b	(.f64 (cosh.f64 x) (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
	15.4b	(.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
	24.0b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (cbrt.f64 (pow.f64 (sin.f64 y) 3)))))
▶	0.3b	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
	33.0b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
	29.8b	(*.f64 (cosh.f64 x) (/.f64 (log.f64 (exp.f64 (sin.f64 y))) y))
	19.9b	(.f64 (cosh.f64 x) (cbrt.f64 (.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	33.0b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y))))

Compiler

Compiled 5772 to 2281 computations (60.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series63.0ms (1%)

Counts

2 → 48

Calls

2 calls:

32.0ms	(/.f64 (cosh.f64 x) y)
31.0ms	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))

rewrite11.0ms (0.2%)

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-l_binary64`

Counts

2 → 64

Calls

2 calls:

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

simplify96.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

381×	`associate-l_binary64`
340×	`fma-neg_binary64`
304×	`associate-*l/_binary64`
297×	`associate-/l*_binary64`
291×	`fma-def_binary64`

Counts

112 → 118

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	2002
1	431	1855
2	1166	1666
3	4364	1665
4	4976	1665
5	4962	1665

prune90.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	135	9	144

Error

Counts

144 → 9

Alt Table

Status	Error	Program
▶	0.3b	(.f64 (cosh.f64 x) (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
	15.4b	(.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
	24.0b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (cbrt.f64 (pow.f64 (sin.f64 y) 3)))))
✓	0.3b	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
	33.0b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
	29.8b	(*.f64 (cosh.f64 x) (/.f64 (log.f64 (exp.f64 (sin.f64 y))) y))
	19.9b	(.f64 (cosh.f64 x) (cbrt.f64 (.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	33.0b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y))))

Compiler

Compiled 2352 to 844 computations (64.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cosh.f64 x) (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
✓	0.1b	(/.f64 1 (sin.f64 y))
✓	0.1b	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
✓	0.2b	(*.f64 y (/.f64 1 (sin.f64 y)))

series49.0ms (0.8%)

Counts

4 → 52

Calls

4 calls:

34.0ms	(.f64 (cosh.f64 x) (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
7.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))
6.0ms	(/.f64 1 (sin.f64 y))
3.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

104×	`add-exp-log_binary64`
44×	`prod-exp_binary64`
36×	`div-exp_binary64`
34×	`add-sqr-sqrt_binary64`
34×	`add-cbrt-cube_binary64`

Counts

4 → 161

Calls

4 calls:

9.0ms	(.f64 (cosh.f64 x) (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
6.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))
5.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
3.0ms	(/.f64 1 (sin.f64 y))

simplify107.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

860×	`fma-def_binary64`
478×	`associate-*l/_binary64`
432×	`associate-/r*_binary64`
405×	`associate-/l*_binary64`
225×	`associate-/r/_binary64`

Counts

213 → 247

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	2851
1	552	2448
2	1750	2201
3	4418	2195
4	4947	2195

prune182.0ms (2.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	247	9	256

Error

Counts

256 → 9

Alt Table

Status	Error	Program
✓	0.3b	(.f64 (cosh.f64 x) (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
	15.4b	(.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
	24.0b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (cbrt.f64 (pow.f64 (sin.f64 y) 3)))))
✓	0.3b	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
	33.0b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
	29.8b	(*.f64 (cosh.f64 x) (/.f64 (log.f64 (exp.f64 (sin.f64 y))) y))
	19.9b	(.f64 (cosh.f64 x) (cbrt.f64 (.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	33.0b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y))))

Compiler

Compiled 4257 to 2253 computations (47.1% saved)

regimes504.0ms (7.8%)

Accuracy

Total 0.1b remaining (76.9%)

Threshold costs 0.1b (76.9%)

Counts

103 → 1

Compiler

Compiled 8795 to 5696 computations (35.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	16	27
2	16	27

end111.0ms (1.7%)

Compiler: Compiled 160 to 102 computations (36.3% saved)

Details

analyze489.0ms (7.6%)

sample3.9s (60.5%)

simplify94.0ms (1.5%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series37.0ms (0.6%)

rewrite12.0ms (0.2%)

simplify95.0ms (1.5%)

prune130.0ms (2%)

localize7.0ms (0.1%)

series46.0ms (0.7%)

rewrite37.0ms (0.6%)

simplify126.0ms (2%)

prune209.0ms (3.2%)

localize7.0ms (0.1%)

series63.0ms (1%)

rewrite11.0ms (0.2%)

simplify96.0ms (1.5%)

prune90.0ms (1.4%)

localize8.0ms (0.1%)

series49.0ms (0.8%)

rewrite34.0ms (0.5%)

simplify107.0ms (1.7%)

prune182.0ms (2.8%)

regimes504.0ms (7.8%)

simplify2.0ms (0%)

end111.0ms (1.7%)

Profiling