Details

analyze502.0ms (9.7%)

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)

sample3.2s (62%)

Results

1.0s	1937×	body	1024	invalid
820.0ms	6424×	body	128	valid
364.0ms	659×	body	1024	valid
330.0ms	1023×	body	512	invalid
250.0ms	721×	body	512	valid
124.0ms	505×	body	256	invalid
110.0ms	788×	body	128	invalid
103.0ms	452×	body	256	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify69.0ms (1.3%)

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

15.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	15.0b	(/.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))
✓	15.0b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series63.0ms (1.2%)

Counts

3 → 60

Calls

3 calls:

30.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
22.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
11.0ms	(sinh.f64 y)

rewrite10.0ms (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)

simplify93.0ms (1.8%)

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

prune79.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	109	7	116
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	7	117

Error

Counts

117 → 7

Alt Table

Status	Error	Program
	15.0b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
	15.4b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
	15.6b	(/.f64 (.f64 (.f64 (sin.f64 x) (*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y)))) (cbrt.f64 (sinh.f64 y))) x)
	0.9b	(.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
▶	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	0.5b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	15.5b	(/.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) x)

Compiler

Compiled 2153 to 954 computations (55.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series54.0ms (1%)

Counts

2 → 48

Calls

2 calls:

31.0ms	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
22.0ms	(/.f64 (sinh.f64 y) 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-l_binary64`

Counts

2 → 64

Calls

2 calls:

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

simplify103.0ms (2%)

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

prune103.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	141	6	147

Error

Counts

147 → 6

Alt Table

Status	Error	Program
	15.0b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
	15.4b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
	15.5b	(/.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) x)
▶	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	15.6b	(/.f64 (.f64 (.f64 (sin.f64 x) (*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y)))) (cbrt.f64 (sinh.f64 y))) x)

Compiler

Compiled 2359 to 858 computations (63.6% saved)

localize6.0ms (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)

series54.0ms (1%)

Counts

2 → 28

Calls

2 calls:

51.0ms	(*.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:

6.0ms	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
3.0ms	(/.f64 (sin.f64 x) x)

simplify115.0ms (2.2%)

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 (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	139	6	145

Error

Counts

145 → 6

Alt Table

Status	Error	Program
▶	15.0b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
	15.4b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
	15.5b	(/.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) x)
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	15.6b	(/.f64 (.f64 (.f64 (sin.f64 x) (*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y)))) (cbrt.f64 (sinh.f64 y))) x)

Compiler

Compiled 2278 to 794 computations (65.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (sinh.f64 y) (sin.f64 x))
✓	15.0b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)

series54.0ms (1%)

Counts

2 → 48

Calls

2 calls:

30.0ms	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
23.0ms	(*.f64 (sinh.f64 y) (sin.f64 x))

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

simplify134.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

840×	`times-frac_binary64`
623×	`fma-def_binary64`
310×	`associate-/l/_binary64`
234×	`cancel-sign-sub-inv_binary64`
200×	`fma-neg_binary64`

Counts

93 → 109

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	1945
1	531	1785
2	1839	1747
3	4753	1740
4	5000	1740
5	5000	1740
6	4955	1740

prune71.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	129	5	134

Error

Counts

134 → 5

Alt Table

Status	Error	Program
	0.1b	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	15.0b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
	15.6b	(/.f64 (.f64 (.f64 (sin.f64 x) (*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y)))) (cbrt.f64 (sinh.f64 y))) x)
	15.5b	(/.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) x)

Compiler

Compiled 2175 to 921 computations (57.7% saved)

regimes251.0ms (4.9%)

Accuracy

Total 0.1b remaining (69.2%)

Threshold costs 0.1b (69.2%)

Counts

67 → 1

Compiler

Compiled 3788 to 2316 computations (38.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	7	11

end66.0ms (1.3%)

Compiler: Compiled 81 to 48 computations (40.7% saved)

Details

analyze502.0ms (9.7%)

sample3.2s (62%)

simplify69.0ms (1.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series63.0ms (1.2%)

rewrite10.0ms (0.2%)

simplify93.0ms (1.8%)

prune79.0ms (1.5%)

localize6.0ms (0.1%)

series54.0ms (1%)

rewrite12.0ms (0.2%)

simplify103.0ms (2%)

prune103.0ms (2%)

localize6.0ms (0.1%)

series54.0ms (1%)

rewrite12.0ms (0.2%)

simplify115.0ms (2.2%)

prune86.0ms (1.7%)

localize6.0ms (0.1%)

series54.0ms (1%)

rewrite9.0ms (0.2%)

simplify134.0ms (2.6%)

prune71.0ms (1.4%)

regimes251.0ms (4.9%)

simplify2.0ms (0%)

end66.0ms (1.3%)

Profiling