Details

analyze486.0ms (7.2%)

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
0%	99.9%	0.1%	5
6.2%	93.7%	0.1%	6
37.5%	53.1%	9.5%	7
37.5%	51.5%	11%	8
43.7%	39.8%	16.5%	9
43.7%	38.6%	17.7%	10
46.8%	32.6%	20.6%	11
46.8%	31.9%	21.3%	12
48.4%	28.8%	22.8%	13
48.4%	28.5%	23.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.0s (59.5%)

Results

1.2s	2116×	body	1024	valid
1.0s	2076×	body	1024	invalid
637.0ms	4586×	body	128	valid
348.0ms	1023×	body	512	valid
324.0ms	1029×	body	512	invalid
125.0ms	523×	body	256	valid
119.0ms	550×	body	256	invalid
104.0ms	786×	body	128	invalid
10.0ms	8×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify53.0ms (0.8%)

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%)

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 (0.1%)

Local error

Found 3 expressions with local error:

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

series59.0ms (0.9%)

Counts

3 → 48

Calls

3 calls:

38.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
12.0ms	(/.f64 (sinh.f64 y) y)
8.0ms	(sinh.f64 y)

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

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

simplify87.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

550×	`fma-def_binary64`
445×	`associate-/l*_binary64`
383×	`times-frac_binary64`
314×	`associate-*l/_binary64`
249×	`fma-neg_binary64`

Counts

122 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	2084
1	539	1920
2	1766	1774
3	4702	1772
4	4956	1772

prune102.0ms (1.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	3	128

Error

Counts

128 → 3

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
	1.6b	(.f64 (.f64 (sin.f64 x) (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
	0.8b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))

Compiler

Compiled 2099 to 815 computations (61.2% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
✓	0.0b	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
✓	0.0b	(*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))

series89.0ms (1.3%)

Counts

3 → 48

Calls

3 calls:

46.0ms	(*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
22.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
21.0ms	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`cbrt-prod_binary64`
65×	`add-sqr-sqrt_binary64`
56×	`times-frac_binary64`
50×	`*-un-lft-identity_binary64`
50×	`add-cube-cbrt_binary64`

Counts

3 → 151

Calls

3 calls:

11.0ms	(*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
4.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
3.0ms	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))

simplify120.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-def_binary64`
323×	`unswap-sqr_binary64`
291×	`log-prod_binary64`
187×	`associate-r_binary64`
160×	`associate-l_binary64`

Counts

199 → 209

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	292	3617
1	747	3309
2	2627	3283
3	4476	3281
4	5005	3281

prune173.0ms (2.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	253	0	253
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	253	3	256

Error

Counts

256 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
	1.6b	(.f64 (.f64 (sin.f64 x) (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
▶	0.8b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))

Compiler

Compiled 4627 to 2058 computations (55.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
✓	0.1b	(*.f64 (pow.f64 y 2) (sin.f64 x))
✓	0.2b	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))

series47.0ms (0.7%)

Counts

3 → 15

Calls

3 calls:

19.0ms	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
16.0ms	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
12.0ms	(*.f64 (pow.f64 y 2) (sin.f64 x))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64`
14×	`add-sqr-sqrt_binary64`
11×	`associate-l_binary64`
10×	`add-cbrt-cube_binary64`
10×	`prod-exp_binary64`

Counts

3 → 66

Calls

3 calls:

5.0ms	(*.f64 (pow.f64 y 2) (sin.f64 x))
5.0ms	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
3.0ms	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

900×	`fma-neg_binary64`
686×	`fma-def_binary64`
441×	`cancel-sign-sub-inv_binary64`
377×	`sub-neg_binary64`
367×	`*-commutative_binary64`

Counts

81 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	1481
1	389	1288
2	1331	1228
3	3806	1223
4	4991	1223
5	4936	1223

prune84.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	127	3	130

Error

Counts

130 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
▶	1.6b	(.f64 (.f64 (sin.f64 x) (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
✓	0.8b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))

Compiler

Compiled 2448 to 1389 computations (43.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sin.f64 x) (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))))
✓	0.3b	(.f64 (.f64 (sin.f64 x) (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
✓	0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
✓	0.7b	(cbrt.f64 y)

series489.0ms (7.3%)

Counts

4 → 72

Calls

4 calls:

355.0ms	(.f64 (sin.f64 x) (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))))
63.0ms	(.f64 (.f64 (sin.f64 x) (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
37.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
34.0ms	(cbrt.f64 y)

rewrite41.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`add-exp-log_binary64`
47×	`prod-exp_binary64`
42×	`add-sqr-sqrt_binary64`
35×	`associate-r_binary64`
35×	`add-cbrt-cube_binary64`

Counts

4 → 155

Calls

4 calls:

14.0ms	(.f64 (.f64 (sin.f64 x) (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
8.0ms	(.f64 (sin.f64 x) (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))))
5.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)

simplify169.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

821×	`fma-def_binary64`
338×	`associate-l_binary64`
301×	`associate-r_binary64`
223×	`cancel-sign-sub-inv_binary64`
197×	`*-commutative_binary64`

Counts

227 → 252

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	296	4532
1	734	3223
2	3203	3015
3	4407	3006
4	4972	3006
5	4937	3006

prune150.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	288	3	291

Error

Counts

291 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
✓	1.6b	(.f64 (.f64 (sin.f64 x) (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
✓	0.8b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))

Compiler

Compiled 6482 to 2306 computations (64.4% saved)

regimes353.0ms (5.2%)

Accuracy

Total 0.0b remaining (9.2%)

Threshold costs 0.0b (9.2%)

Counts

74 → 1

Compiler

Compiled 4990 to 3515 computations (29.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	11	11
2	10	11

end58.0ms (0.9%)

Compiler: Compiled 61 to 41 computations (32.8% saved)

Details

analyze486.0ms (7.2%)

sample4.0s (59.5%)

simplify53.0ms (0.8%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series59.0ms (0.9%)

rewrite12.0ms (0.2%)

simplify87.0ms (1.3%)

prune102.0ms (1.5%)

localize8.0ms (0.1%)

series89.0ms (1.3%)

rewrite30.0ms (0.4%)

simplify120.0ms (1.8%)

prune173.0ms (2.6%)

localize7.0ms (0.1%)

series47.0ms (0.7%)

rewrite17.0ms (0.2%)

simplify80.0ms (1.2%)

prune84.0ms (1.2%)

localize10.0ms (0.1%)

series489.0ms (7.3%)

rewrite41.0ms (0.6%)

simplify169.0ms (2.5%)

prune150.0ms (2.2%)

regimes353.0ms (5.2%)

simplify2.0ms (0%)

end58.0ms (0.9%)

Profiling