Details

analyze471.0ms (10.4%)

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)

sample68.0ms (1.5%)

Algorithm

1×

intervals

Results

21.0ms	66×	body	1024	invalid
11.0ms	202×	body	128	valid
9.0ms	22×	body	1024	valid
5.0ms	32×	body	512	invalid
3.0ms	20×	body	512	valid
2.0ms	17×	body	256	invalid
2.0ms	25×	body	128	invalid
1.0ms	12×	body	256	valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify67.0ms (1.5%)

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

11.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	11.2b	(/.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))
✓	11.2b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series66.0ms (1.5%)

Counts

3 → 60

Calls

3 calls:

33.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
25.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
8.0ms	(sinh.f64 y)

rewrite11.0ms (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:

5.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
4.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms	(sinh.f64 y)

simplify89.0ms (2%)

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

prune93.0ms (2.1%)

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

Counts

117 → 8

Alt Table

Status	Error	Program
	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
▶	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	0.9b	(.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
	31.5b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) 3))
	11.4b	(/.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) y)))) x)
	1.1b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	12.2b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
	30.1b	(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))

Compiler

Compiled 2215 to 992 computations (55.2% saved)

localize7.0ms (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))

series55.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

31.0ms	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
24.0ms	(/.f64 (sinh.f64 y) x)

rewrite12.0ms (0.3%)

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 (2.2%)

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

prune111.0ms (2.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	142	6	148

Error

Counts

148 → 6

Alt Table

Status	Error	Program
	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	0.9b	(.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
	1.0b	(.f64 (.f64 (/.f64 (sinh.f64 y) x) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))
▶	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
	12.2b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))

Compiler

Compiled 2393 to 864 computations (63.9% 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)

series37.0ms (0.8%)

Counts

2 → 28

Calls

2 calls:

34.0ms	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
3.0ms	(/.f64 (sin.f64 x) x)

rewrite15.0ms (0.3%)

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)

simplify79.0ms (1.7%)

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

prune93.0ms (2%)

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
	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
▶	0.9b	(.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
	1.0b	(.f64 (.f64 (/.f64 (sinh.f64 y) x) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
	12.2b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))

Compiler

Compiled 2312 to 800 computations (65.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series357.0ms (7.9%)

Counts

4 → 60

Calls

4 calls:

219.0ms	(/.f64 (sinh.f64 y) (cbrt.f64 x))
66.0ms	(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
41.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
31.0ms	(cbrt.f64 x)

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64`
31×	`cbrt-prod_binary64`
30×	`*-un-lft-identity_binary64`
30×	`add-cube-cbrt_binary64`
21×	`times-frac_binary64`

Counts

4 → 120

Calls

4 calls:

5.0ms	(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
4.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
3.0ms	(/.f64 (sinh.f64 y) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)

simplify100.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

894×	`times-frac_binary64`
740×	`fma-def_binary64`
489×	`associate-r_binary64`
393×	`associate-/l*_binary64`
215×	`div-sub_binary64`

Counts

180 → 187

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	198	2611
1	417	2282
2	1319	2175
3	3788	2158
4	4953	2158

prune125.0ms (2.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	223	6	229

Error

Counts

229 → 6

Alt Table

Status	Error	Program
	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) (cbrt.f64 (.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	0.9b	(.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
	1.0b	(.f64 (.f64 (/.f64 (sinh.f64 y) x) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
	12.2b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))

Compiler

Compiled 4496 to 1286 computations (71.4% saved)

regimes395.0ms (8.7%)

Accuracy

Total 0.1b remaining (60.5%)

Threshold costs 0.1b (60.5%)

Counts

105 → 1

Compiler

Compiled 6695 to 4001 computations (40.2% saved)

simplify2.0ms (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

end0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

sample2.1s (47.1%)

Algorithm

1×

intervals

Results

622.0ms	1985×	body	1024	invalid
372.0ms	6275×	body	128	valid
212.0ms	611×	body	1024	valid
172.0ms	1010×	body	512	invalid
119.0ms	671×	body	512	valid
64.0ms	495×	body	256	invalid
60.0ms	776×	body	128	invalid
52.0ms	443×	body	256	valid

Compiler

Compiled 112 to 62 computations (44.6% saved)

Details

analyze471.0ms (10.4%)

sample68.0ms (1.5%)

simplify67.0ms (1.5%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series66.0ms (1.5%)

rewrite11.0ms (0.2%)

simplify89.0ms (2%)

prune93.0ms (2.1%)

localize7.0ms (0.1%)

series55.0ms (1.2%)

rewrite12.0ms (0.3%)

simplify101.0ms (2.2%)

prune111.0ms (2.5%)

localize6.0ms (0.1%)

series37.0ms (0.8%)

rewrite15.0ms (0.3%)

simplify79.0ms (1.7%)

prune93.0ms (2%)

localize9.0ms (0.2%)

series357.0ms (7.9%)

rewrite19.0ms (0.4%)

simplify100.0ms (2.2%)

prune125.0ms (2.8%)

regimes395.0ms (8.7%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.1s (47.1%)

Profiling