Details

analyze533.0ms (9%)

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)

sample4.5s (75.4%)

Results

1.3s	2097×	body	1024	valid
1.2s	1968×	body	1024	invalid
662.0ms	4633×	body	128	valid
404.0ms	1045×	body	512	invalid
385.0ms	1015×	body	512	valid
174.0ms	505×	body	256	valid
122.0ms	518×	body	256	invalid
109.0ms	789×	body	128	invalid
7.0ms	6×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify55.0ms (0.9%)

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%)

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 4 expressions with local error:

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

series57.0ms (1%)

Counts

4 → 52

Calls

4 calls:

35.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
13.0ms	(/.f64 (sinh.f64 y) y)
8.0ms	(sinh.f64 y)
2.0ms	(sin.f64 x)

rewrite26.0ms (0.4%)

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 → 83

Calls

4 calls:

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

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Counts

135 → 144

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	226	2196
1	572	2025
2	1872	1875
3	4912	1873
4	5072	1873

prune67.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	142	3	145

Error

Counts

145 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	12.4b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
	25.4b	(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))

Compiler

Compiled 2277 to 880 computations (61.4% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	12.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)

series59.0ms (1%)

Counts

2 → 48

Calls

2 calls:

34.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
25.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))

rewrite9.0ms (0.2%)

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 (sin.f64 x) (sinh.f64 y)) y)
3.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

812×	`fma-def_binary64`
319×	`associate-/r*_binary64`
282×	`associate-/l/_binary64`
264×	`associate-/r/_binary64`
242×	`fma-neg_binary64`

Counts

93 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	211	1969
1	565	1810
2	2082	1763
3	4716	1759
4	4953	1759

prune80.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	128	3	131

Error

Counts

131 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	12.4b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
▶	25.4b	(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))

Compiler

Compiled 2209 to 992 computations (55.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
	0.0b	(sinh.f64 y)
✓	0.1b	(exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
✓	2.8b	(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))

series74.0ms (1.3%)

Counts

2 → 48

Calls

2 calls:

38.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))
35.0ms	(exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-log-exp_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`log-prod_binary64`
3×	`add-cube-cbrt_binary64`

Counts

2 → 28

Calls

2 calls:

1.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))
1.0ms	(exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

783×	`associate-/r*_binary64`
217×	`cancel-sign-sub-inv_binary64`
210×	`fma-def_binary64`
188×	`associate-/r/_binary64`
180×	`associate-/l/_binary64`

Counts

76 → 87

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	2516
1	720	2406
2	2835	2324
3	5782	2324

prune87.0ms (1.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	170	3	173

Error

Counts

173 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	12.4b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
✓	25.4b	(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))

Compiler

Compiled 3983 to 1728 computations (56.6% saved)

regimes73.0ms (1.2%)

Accuracy

Total 0.0b remaining (16.9%)

Threshold costs 0.0b (16.9%)

Counts

13 → 1

Compiler

Compiled 665 to 404 computations (39.2% saved)

simplify2.0ms (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

end61.0ms (1%)

Compiler: Compiled 47 to 32 computations (31.9% saved)

Details

analyze533.0ms (9%)

sample4.5s (75.4%)

simplify55.0ms (0.9%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series57.0ms (1%)

rewrite26.0ms (0.4%)

simplify89.0ms (1.5%)

prune67.0ms (1.1%)

localize8.0ms (0.1%)

series59.0ms (1%)

rewrite9.0ms (0.2%)

simplify85.0ms (1.4%)

prune80.0ms (1.4%)

localize11.0ms (0.2%)

series74.0ms (1.3%)

rewrite4.0ms (0.1%)

simplify73.0ms (1.2%)

prune87.0ms (1.5%)

regimes73.0ms (1.2%)

simplify2.0ms (0%)

end61.0ms (1%)

Profiling