Details

analyze486.0ms (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	2059×	body	1024	valid
1.0s	1963×	body	1024	invalid
610.0ms	4670×	body	128	valid
359.0ms	1083×	body	512	invalid
334.0ms	1023×	body	512	valid
119.0ms	523×	body	256	invalid
119.0ms	495×	body	256	valid
106.0ms	707×	body	128	invalid
14.0ms	9×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify95.0ms (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	(cosh.f64 x)
✓	0.0b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓	0.1b	(/.f64 (sin.f64 y) y)

series40.0ms (0.6%)

Counts

3 → 40

Calls

3 calls:

30.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
7.0ms	(cosh.f64 x)
3.0ms	(/.f64 (sin.f64 y) 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 → 75

Calls

3 calls:

5.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)
1.0ms	(cosh.f64 x)

simplify97.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

386×	`associate-l_binary64`
380×	`associate-*l/_binary64`
351×	`fma-def_binary64`
347×	`associate-*r/_binary64`
323×	`associate-r_binary64`

Counts

115 → 136

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	1899
1	450	1754
2	1413	1734
3	4351	1733
4	4705	1733
5	4990	1733

prune96.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	129	7	136
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	8	137

Error

0.0b

Counts

137 → 8

Alt Table

Status	Error	Program
	31.8b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))))
	33.2b	(.f64 (cosh.f64 x) (fma.f64 (.f64 y y) -1/6 1))
	1.3b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y))))
	15.2b	(.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
	0.8b	(.f64 (cosh.f64 x) (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
	0.2b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
▶	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))

Compiler

Compiled 2317 to 805 computations (65.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series38.0ms (0.6%)

Counts

3 → 40

Calls

3 calls:

29.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
6.0ms	(/.f64 y (sin.f64 y))
3.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite35.0ms (0.5%)

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 → 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))

simplify117.0ms (1.8%)

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 → 298

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	234	3821
1	543	3411
2	1706	3085
3	4404	3081
4	4975	3081

prune218.0ms (3.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	314	2	316
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	317	7	324

Error

0.0b

Counts

324 → 7

Alt Table

Status	Error	Program
	31.8b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))))
	33.2b	(.f64 (cosh.f64 x) (fma.f64 (.f64 y y) -1/6 1))
	0.2b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
	15.2b	(.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
	0.8b	(.f64 (cosh.f64 x) (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
▶	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

Compiler

Compiled 5773 to 2243 computations (61.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series33.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

33.0ms

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

rewrite11.0ms (0.2%)

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 → 73

Calls

1 calls:

5.0ms

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

simplify105.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

662×	`fma-def_binary64`
428×	`associate-/l/_binary64`
397×	`associate-/r/_binary64`
388×	`associate-/l*_binary64`
360×	`times-frac_binary64`

Counts

97 → 123

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	216	2383
1	515	2272
2	1578	2258
3	4179	2252
4	4840	2252
5	4956	2252

prune114.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	181	7	188

Error

0.0b

Counts

188 → 7

Alt Table

Status	Error	Program
	31.8b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))))
	33.2b	(.f64 (cosh.f64 x) (fma.f64 (.f64 y y) -1/6 1))
	15.2b	(.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
	0.3b	(/.f64 (cosh.f64 x) (*.f64 y (/.f64 1 (sin.f64 y))))
▶	0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

Compiler

Compiled 3173 to 950 computations (70.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series58.0ms (0.9%)

Counts

3 → 52

Calls

3 calls:

30.0ms	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
22.0ms	(/.f64 (cosh.f64 x) y)
5.0ms	(/.f64 1 (sin.f64 y))

rewrite46.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

439×	`times-frac_binary64`
215×	`*-un-lft-identity_binary64`
215×	`add-sqr-sqrt_binary64`
215×	`add-cube-cbrt_binary64`
31×	`div-inv_binary64`

Counts

3 → 284

Calls

3 calls:

9.0ms	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
2.0ms	(/.f64 1 (sin.f64 y))
2.0ms	(/.f64 (cosh.f64 x) y)

simplify216.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

560×	`associate-/r/_binary64`
441×	`associate-*r/_binary64`
386×	`fma-def_binary64`
303×	`associate-/l/_binary64`
300×	`sub-neg_binary64`

Counts

336 → 380

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	335	8238
1	852	7663
2	2464	7625
3	4505	7624
4	5024	7624

prune256.0ms (4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	397	1	398
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	397	8	405

Error

Counts

405 → 8

Alt Table

Status	Error	Program
	31.8b	(.f64 (cosh.f64 x) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))))
	33.2b	(.f64 (cosh.f64 x) (fma.f64 (.f64 y y) -1/6 1))
	1.0b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (cbrt.f64 (/.f64 (cosh.f64 x) y))) (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 y))) (cbrt.f64 (/.f64 1 (sin.f64 y))))) (/.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (cbrt.f64 (/.f64 1 (sin.f64 y)))))
	15.2b	(.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
	0.3b	(/.f64 (cosh.f64 x) (*.f64 y (/.f64 1 (sin.f64 y))))
✓	0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

Compiler

Compiled 8428 to 3292 computations (60.9% saved)

regimes331.0ms (5.2%)

Accuracy

Total 0.1b remaining (55.8%)

Threshold costs 0.1b (55.8%)

Counts

72 → 1

Compiler

Compiled 6514 to 4106 computations (37% 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

end101.0ms (1.6%)

Compiler: Compiled 157 to 98 computations (37.6% saved)

Details

analyze486.0ms (7.6%)

sample3.9s (60.5%)

simplify95.0ms (1.5%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series40.0ms (0.6%)

rewrite12.0ms (0.2%)

simplify97.0ms (1.5%)

prune96.0ms (1.5%)

localize7.0ms (0.1%)

series38.0ms (0.6%)

rewrite35.0ms (0.5%)

simplify117.0ms (1.8%)

prune218.0ms (3.4%)

localize6.0ms (0.1%)

series33.0ms (0.5%)

rewrite11.0ms (0.2%)

simplify105.0ms (1.6%)

prune114.0ms (1.8%)

localize7.0ms (0.1%)

series58.0ms (0.9%)

rewrite46.0ms (0.7%)

simplify216.0ms (3.4%)

prune256.0ms (4%)

regimes331.0ms (5.2%)

simplify2.0ms (0%)

end101.0ms (1.6%)

Profiling