Details

analyze475.0ms (9.8%)

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
43.7%	56.2%	0.1%	6
43.7%	46.8%	9.5%	7
46.8%	42.1%	11%	8
46.8%	36.7%	16.5%	9
48.4%	34%	17.7%	10
48.4%	31%	20.6%	11
49.2%	29.6%	21.3%	12
49.2%	28%	22.8%	13
49.6%	27.3%	23.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.1s (65%)

Results

983.0ms	1982×	body	1024	invalid
821.0ms	6424×	body	128	valid
362.0ms	1048×	body	512	invalid
351.0ms	651×	body	1024	valid
235.0ms	753×	body	512	valid
121.0ms	514×	body	256	invalid
100.0ms	773×	body	128	invalid
94.0ms	427×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify70.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-neg_binary64`
544×	`times-frac_binary64`
474×	`fma-def_binary64`
461×	`associate-/l*_binary64`
377×	`div-sub_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	37	11
3	76	11
4	166	11
5	390	11
6	1109	11
7	3717	11
8	4738	11
9	4947	11
10	4910	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

16.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	16.0b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

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	(sinh.f64 y)
✓	0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	15.9b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series61.0ms (1.3%)

Counts

3 → 60

Calls

3 calls:

29.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
22.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
9.0ms	(sinh.f64 y)

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`

Counts

3 → 55

Calls

3 calls:

4.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
3.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms	(sinh.f64 y)

simplify90.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

986×	`times-frac_binary64`
754×	`fma-def_binary64`
235×	`cancel-sign-sub-inv_binary64`
207×	`fma-neg_binary64`
140×	`sub-neg_binary64`

Counts

115 → 116

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	209	2193
1	557	2016
2	1957	1834
3	4456	1827
4	5132	1827

prune69.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	111	5	116
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	6	117

Error

0.0b

Counts

117 → 6

Alt Table

Status	Error	Program
	1.1b	(.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
✓	16.0b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
	37.9b	(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x) (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) x)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))
▶	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	0.5b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	30.8b	(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))

Compiler

Compiled 2128 to 930 computations (56.3% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series56.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

31.0ms	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
25.0ms	(/.f64 (sinh.f64 y) x)

rewrite10.0ms (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 (sinh.f64 y) x) (sin.f64 x))
2.0ms	(/.f64 (sinh.f64 y) x)

simplify101.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

475×	`fma-neg_binary64`
396×	`associate-l_binary64`
351×	`associate-/l*_binary64`
321×	`associate-*l/_binary64`
319×	`associate-r_binary64`

Counts

112 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	2017
1	482	1865
2	1355	1682
3	4426	1676
4	4995	1676
5	4960	1676

prune75.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	1	3	4
Picked	0	1	1
Done	1	0	1
Total	140	6	146

Error

Counts

146 → 6

Alt Table

Status	Error	Program
	1.1b	(.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
	0.3b	(.f64 (.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
▶	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
✓	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	0.5b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	30.8b	(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))

Compiler

Compiled 2345 to 856 computations (63.5% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series34.0ms (0.7%)

Counts

2 → 28

Calls

2 calls:

31.0ms	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
3.0ms	(/.f64 (sin.f64 x) x)

rewrite12.0ms (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-r_binary64`

Counts

2 → 65

Calls

2 calls:

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

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

765×	`fma-def_binary64`
389×	`associate-*l/_binary64`
377×	`associate-l_binary64`
360×	`associate-/l*_binary64`
358×	`associate-*r/_binary64`

Counts

93 → 120

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	180	1681
1	452	1557
2	1467	1545
3	4466	1539
4	4993	1539

prune86.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	140	5	145

Error

Counts

145 → 5

Alt Table

Status	Error	Program
▶	0.2b	(.f64 (sinh.f64 y) (.f64 (sin.f64 x) (/.f64 1 x)))
	0.3b	(.f64 (.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
✓	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	0.5b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	30.8b	(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))

Compiler

Compiled 2245 to 784 computations (65.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(.f64 (sinh.f64 y) (.f64 (sin.f64 x) (/.f64 1 x)))
✓	0.3b	(*.f64 (sin.f64 x) (/.f64 1 x))

series34.0ms (0.7%)

Counts

2 → 36

Calls

2 calls:

31.0ms	(.f64 (sinh.f64 y) (.f64 (sin.f64 x) (/.f64 1 x)))
3.0ms	(*.f64 (sin.f64 x) (/.f64 1 x))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
14×	`associate-r_binary64`
13×	`prod-exp_binary64`

Counts

2 → 67

Calls

2 calls:

6.0ms	(.f64 (sinh.f64 y) (.f64 (sin.f64 x) (/.f64 1 x)))
6.0ms	(*.f64 (sin.f64 x) (/.f64 1 x))

simplify98.0ms (2%)

Algorithm

1×	egg-herbie

Rules

466×	`fma-neg_binary64`
296×	`fma-def_binary64`
294×	`*-commutative_binary64`
248×	`associate-*l/_binary64`
242×	`associate-*r/_binary64`

Counts

103 → 125

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	1633
1	450	1455
2	1394	1441
3	4139	1435
4	4991	1435
5	4982	1435

prune85.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	144	5	149

Error

Counts

149 → 5

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (sinh.f64 y) (.f64 (sin.f64 x) (/.f64 1 x)))
	0.3b	(.f64 (.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
✓	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	0.5b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	30.8b	(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))

Compiler

Compiled 2355 to 1123 computations (52.3% saved)

regimes143.0ms (3%)

Accuracy

Total 0.1b remaining (60.5%)

Threshold costs 0.1b (60.5%)

Counts

41 → 1

Compiler

Compiled 2214 to 1326 computations (40.1% saved)

simplify4.0ms (0.1%)

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

end68.0ms (1.4%)

Compiler: Compiled 71 to 48 computations (32.4% saved)

Details

analyze475.0ms (9.8%)

sample3.1s (65%)

simplify70.0ms (1.4%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series61.0ms (1.3%)

rewrite9.0ms (0.2%)

simplify90.0ms (1.9%)

prune69.0ms (1.4%)

localize5.0ms (0.1%)

series56.0ms (1.2%)

rewrite10.0ms (0.2%)

simplify101.0ms (2.1%)

prune75.0ms (1.6%)

localize5.0ms (0.1%)

series34.0ms (0.7%)

rewrite12.0ms (0.2%)

simplify76.0ms (1.6%)

prune86.0ms (1.8%)

localize8.0ms (0.2%)

series34.0ms (0.7%)

rewrite15.0ms (0.3%)

simplify98.0ms (2%)

prune85.0ms (1.8%)

regimes143.0ms (3%)

simplify4.0ms (0.1%)

end68.0ms (1.4%)

Profiling