Details

analyze524.0ms (10.3%)

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 (63.2%)

Results

1.1s	2049×	body	1024	invalid
807.0ms	6505×	body	128	valid
369.0ms	681×	body	1024	valid
327.0ms	1020×	body	512	invalid
216.0ms	667×	body	512	valid
110.0ms	488×	body	256	invalid
108.0ms	776×	body	128	invalid
97.0ms	403×	body	256	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify67.0ms (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

10.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	10.1b	(/.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))
✓	10.1b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series67.0ms (1.3%)

Counts

3 → 60

Calls

3 calls:

35.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
24.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
8.0ms	(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)

simplify90.0ms (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

prune82.0ms (1.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	108	8	116
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	8	117

Error

0.0b

Counts

117 → 8

Alt Table

Status	Error	Program
▶	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	0.7b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	10.2b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
	10.7b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
	1.0b	(.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
	24.7b	(.f64 (sqrt.f64 (.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
	10.1b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
	11.4b	(fma.f64 1/6 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 3)) x) (/.f64 (.f64 y (sin.f64 x)) x))

Compiler

Compiled 2177 to 972 computations (55.4% saved)

localize6.0ms (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)
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))

series57.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

32.0ms	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
24.0ms	(/.f64 (sinh.f64 y) x)

rewrite11.0ms (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)

simplify106.0ms (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

prune105.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	141	7	148

Error

Counts

148 → 7

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	0.2b	(.f64 (.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
	10.7b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
▶	0.2b	(.f64 (sinh.f64 y) (.f64 (/.f64 1 x) (sin.f64 x)))
	1.0b	(.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
	24.7b	(.f64 (sqrt.f64 (.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
	10.1b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)

Compiler

Compiled 2383 to 876 computations (63.2% saved)

localize7.0ms (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 (/.f64 1 x) (sin.f64 x)))
✓	0.3b	(*.f64 (/.f64 1 x) (sin.f64 x))

series37.0ms (0.7%)

Counts

2 → 36

Calls

2 calls:

32.0ms	(.f64 (sinh.f64 y) (.f64 (/.f64 1 x) (sin.f64 x)))
5.0ms	(*.f64 (/.f64 1 x) (sin.f64 x))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`associate-l_binary64`
16×	`add-cbrt-cube_binary64`
13×	`prod-exp_binary64`

Counts

2 → 64

Calls

2 calls:

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

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

468×	`fma-neg_binary64`
296×	`fma-def_binary64`
288×	`*-commutative_binary64`
283×	`associate-*l/_binary64`
246×	`times-frac_binary64`

Counts

100 → 126

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	1604
1	451	1423
2	1400	1409
3	4224	1403
4	5080	1403

prune101.0ms (2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	145	7	152

Error

Counts

152 → 7

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
▶	0.2b	(.f64 (.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
	10.7b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
✓	0.2b	(.f64 (sinh.f64 y) (.f64 (/.f64 1 x) (sin.f64 x)))
	1.0b	(.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
	24.7b	(.f64 (sqrt.f64 (.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
	10.1b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)

Compiler

Compiled 2491 to 1211 computations (51.4% saved)

localize7.0ms (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 1 x))
✓	0.1b	(.f64 (.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))

series56.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

32.0ms	(.f64 (.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
24.0ms	(*.f64 (sinh.f64 y) (/.f64 1 x))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

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

simplify86.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

810×	`fma-def_binary64`
483×	`associate-*l/_binary64`
377×	`fma-neg_binary64`
305×	`associate-*r/_binary64`
289×	`associate-/l*_binary64`

Counts

116 → 133

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	190	2080
1	489	1858
2	1487	1474
3	4399	1472
4	5194	1472

prune99.0ms (2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	152	7	159

Error

Counts

159 → 7

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	0.2b	(.f64 (.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
	10.7b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
✓	0.2b	(.f64 (sinh.f64 y) (.f64 (/.f64 1 x) (sin.f64 x)))
	1.0b	(.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
	24.7b	(.f64 (sqrt.f64 (.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
	10.1b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)

Compiler

Compiled 2528 to 1197 computations (52.7% saved)

regimes144.0ms (2.8%)

Accuracy

Total 0.1b remaining (69.1%)

Threshold costs 0.1b (69.1%)

Counts

40 → 1

Compiler

Compiled 2184 to 1348 computations (38.3% saved)

simplify3.0ms (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

end88.0ms (1.7%)

Compiler: Compiled 104 to 65 computations (37.5% saved)

Details

analyze524.0ms (10.3%)

sample3.2s (63.2%)

simplify67.0ms (1.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series67.0ms (1.3%)

rewrite10.0ms (0.2%)

simplify90.0ms (1.8%)

prune82.0ms (1.6%)

localize6.0ms (0.1%)

series57.0ms (1.1%)

rewrite11.0ms (0.2%)

simplify106.0ms (2.1%)

prune105.0ms (2.1%)

localize7.0ms (0.1%)

series37.0ms (0.7%)

rewrite16.0ms (0.3%)

simplify74.0ms (1.5%)

prune101.0ms (2%)

localize7.0ms (0.1%)

series56.0ms (1.1%)

rewrite16.0ms (0.3%)

simplify86.0ms (1.7%)

prune99.0ms (2%)

regimes144.0ms (2.8%)

simplify3.0ms (0.1%)

end88.0ms (1.7%)

Profiling