Details

analyze431.0ms (10.1%)

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)

sample130.0ms (3.1%)

Algorithm

1×

intervals

Results

24.0ms	69×	body	1024	invalid
13.0ms	198×	body	128	valid
8.0ms	22×	body	1024	valid
4.0ms	23×	body	512	valid
4.0ms	21×	body	512	invalid
3.0ms	21×	body	256	invalid
2.0ms	24×	body	128	invalid
2.0ms	13×	body	256	valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify73.0ms (1.7%)

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

14.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	14.2b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize7.0ms (0.2%)

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))
✓	14.2b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series63.0ms (1.5%)

Counts

4 → 64

Calls

4 calls:

31.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
23.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
7.0ms	(sinh.f64 y)
2.0ms	(sin.f64 x)

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

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

simplify91.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

986×	`times-frac_binary64`
815×	`fma-def_binary64`
297×	`cancel-sign-sub-inv_binary64`
154×	`fma-neg_binary64`
153×	`sub-neg_binary64`

Counts

128 → 134

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	2281
1	590	2089
2	2063	1996
3	4706	1996
4	5018	1996

prune84.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	128	6	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	6	135

Error

0.0b

Counts

135 → 6

Alt Table

Status	Error	Program
	14.2b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
	14.9b	(/.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y)) x)
	0.5b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	36.6b	(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
	37.3b	(/.f64 (.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (sinh.f64 y))) x)
▶	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))

Compiler

Compiled 2347 to 1046 computations (55.4% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series50.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

27.0ms	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
23.0ms	(/.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)

simplify112.0ms (2.6%)

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

prune89.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	158	5	163

Error

Counts

163 → 5

Alt Table

Status	Error	Program
	14.2b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
	14.9b	(/.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y)) x)
	0.6b	(*.f64 (/.f64 1 (/.f64 x (sinh.f64 y))) (sin.f64 x))
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
▶	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))

Compiler

Compiled 2528 to 929 computations (63.3% saved)

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

series33.0ms (0.8%)

Counts

2 → 28

Calls

2 calls:

30.0ms	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
3.0ms	(/.f64 (sin.f64 x) x)

rewrite14.0ms (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:

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

simplify78.0ms (1.8%)

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

prune84.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	156	5	161

Error

Counts

161 → 5

Alt Table

Status	Error	Program
	14.2b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
	14.9b	(/.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y)) x)
▶	0.6b	(*.f64 (/.f64 1 (/.f64 x (sinh.f64 y))) (sin.f64 x))
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))

Compiler

Compiled 2447 to 882 computations (64% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (sinh.f64 y))
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (/.f64 1 (/.f64 x (sinh.f64 y))) (sin.f64 x))
✓	0.6b	(/.f64 1 (/.f64 x (sinh.f64 y)))

series114.0ms (2.7%)

Counts

3 → 72

Calls

3 calls:

52.0ms	(/.f64 x (sinh.f64 y))
32.0ms	(*.f64 (/.f64 1 (/.f64 x (sinh.f64 y))) (sin.f64 x))
30.0ms	(/.f64 1 (/.f64 x (sinh.f64 y)))

rewrite40.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`times-frac_binary64`
105×	`add-sqr-sqrt_binary64`
93×	`*-un-lft-identity_binary64`
91×	`add-cube-cbrt_binary64`
47×	`associate-l_binary64`

Counts

3 → 189

Calls

3 calls:

16.0ms	(*.f64 (/.f64 1 (/.f64 x (sinh.f64 y))) (sin.f64 x))
4.0ms	(/.f64 1 (/.f64 x (sinh.f64 y)))
2.0ms	(/.f64 x (sinh.f64 y))

simplify136.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

826×	`fma-def_binary64`
758×	`times-frac_binary64`
465×	`associate-/l*_binary64`
353×	`associate-/r/_binary64`
222×	`fma-neg_binary64`

Counts

261 → 323

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	261	4716
1	617	4054
2	1949	3489
3	4767	3481
4	5280	3481

prune170.0ms (4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	342	0	342
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	342	5	347

Error

Counts

347 → 5

Alt Table

Status	Error	Program
	14.2b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
	14.9b	(/.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y)) x)
✓	0.6b	(*.f64 (/.f64 1 (/.f64 x (sinh.f64 y))) (sin.f64 x))
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))

Compiler

Compiled 6208 to 2500 computations (59.7% saved)

regimes173.0ms (4.1%)

Accuracy

Total 0.1b remaining (60.1%)

Threshold costs 0.1b (60.1%)

Counts

45 → 1

Compiler

Compiled 2362 to 1473 computations (37.6% 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)

sample2.2s (52.6%)

Algorithm

1×

intervals

Results

668.0ms	1911×	body	1024	invalid
404.0ms	6238×	body	128	valid
227.0ms	646×	body	1024	valid
200.0ms	985×	body	512	invalid
125.0ms	671×	body	512	valid
57.0ms	476×	body	256	invalid
54.0ms	445×	body	256	valid
52.0ms	786×	body	128	invalid

Compiler

Compiled 72 to 50 computations (30.6% saved)

Details

analyze431.0ms (10.1%)

sample130.0ms (3.1%)

simplify73.0ms (1.7%)

prune2.0ms (0%)

localize7.0ms (0.2%)

series63.0ms (1.5%)

rewrite11.0ms (0.2%)

simplify91.0ms (2.1%)

prune84.0ms (2%)

localize7.0ms (0.2%)

series50.0ms (1.2%)

rewrite11.0ms (0.2%)

simplify112.0ms (2.6%)

prune89.0ms (2.1%)

localize6.0ms (0.1%)

series33.0ms (0.8%)

rewrite14.0ms (0.3%)

simplify78.0ms (1.8%)

prune84.0ms (2%)

localize7.0ms (0.2%)

series114.0ms (2.7%)

rewrite40.0ms (0.9%)

simplify136.0ms (3.2%)

prune170.0ms (4%)

regimes173.0ms (4.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.2s (52.6%)

Profiling