Details

analyze30.0ms (0.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.5s (40.3%)

Infinites

49.7% of outputs are infinite.

Results

581.0ms	5534×	body	128	valid
543.0ms	1335×	body	1024	valid
210.0ms	876×	body	512	valid
87.0ms	508×	body	256	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify66.0ms (1.8%)

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

4.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	4.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.2%)

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))
✓	4.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series63.0ms (1.7%)

Counts

3 → 60

Calls

3 calls:

31.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
23.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
8.0ms	(sinh.f64 y)

rewrite10.0ms (0.3%)

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

simplify85.0ms (2.3%)

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

prune89.0ms (2.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	111	5	116
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	5	117

Error

0.0b

Counts

117 → 5

Alt Table

Status	Error	Program
	0.1b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	4.5b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
	4.5b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
▶	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	4.9b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 (.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) x)

Compiler

Compiled 2097 to 918 computations (56.2% saved)

localize6.0ms (0.2%)

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 (1.5%)

Counts

2 → 48

Calls

2 calls:

32.0ms	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
25.0ms	(/.f64 (sinh.f64 y) x)

rewrite15.0ms (0.4%)

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)

simplify96.0ms (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

prune98.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Error

0.0b

Counts

145 → 5

Alt Table

Status	Error	Program
▶	0.1b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	4.5b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
	4.5b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
	0.5b	(.f64 (/.f64 (.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y))) (/.f64 x (cbrt.f64 (sinh.f64 y)))) (sin.f64 x))
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))

Compiler

Compiled 2323 to 840 computations (63.8% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series80.0ms (2.1%)

Counts

2 → 48

Calls

2 calls:

50.0ms	(/.f64 x (sinh.f64 y))
30.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac_binary64`
53×	`*-un-lft-identity_binary64`
53×	`add-sqr-sqrt_binary64`
53×	`add-cube-cbrt_binary64`
17×	`associate-/r*_binary64`

Counts

2 → 106

Calls

2 calls:

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

simplify114.0ms (3%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-def_binary64`
532×	`associate-/l*_binary64`
520×	`associate-/r/_binary64`
464×	`times-frac_binary64`
433×	`associate-/l/_binary64`

Counts

154 → 185

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	263	3335
1	620	2983
2	1972	2866
3	4870	2858
4	5334	2858

prune128.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	204	5	209

Error

Counts

209 → 5

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	4.5b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
	4.5b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
▶	0.4b	(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (sin.f64 x)) x)))

Compiler

Compiled 3473 to 1043 computations (70% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (sin.f64 x)) x)))
✓	0.3b	(/.f64 (cbrt.f64 (sin.f64 x)) x)
✓	0.5b	(*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))
✓	0.6b	(cbrt.f64 (sin.f64 x))

series662.0ms (17.7%)

Counts

4 → 60

Calls

4 calls:

236.0ms	(*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))
226.0ms	(/.f64 (cbrt.f64 (sin.f64 x)) x)
169.0ms	(cbrt.f64 (sin.f64 x))
31.0ms	(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (sin.f64 x)) x)))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
31×	`cbrt-prod_binary64`
29×	`add-exp-log_binary64`
28×	`*-un-lft-identity_binary64`
28×	`add-cube-cbrt_binary64`

Counts

4 → 127

Calls

4 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (sin.f64 x)) x)))
5.0ms	(*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))
3.0ms	(/.f64 (cbrt.f64 (sin.f64 x)) x)
1.0ms	(cbrt.f64 (sin.f64 x))

simplify138.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

768×	`times-frac_binary64`
593×	`fma-def_binary64`
271×	`associate-r_binary64`
267×	`associate-l_binary64`
239×	`unswap-sqr_binary64`

Counts

187 → 217

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	286	3657
1	700	2677
2	2398	2608
3	4220	2599
4	4963	2599
5	4950	2599

prune162.0ms (4.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	265	0	265
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	265	5	270

Error

Counts

270 → 5

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	4.5b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
	4.5b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	0.4b	(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (sin.f64 x)) x)))

Compiler

Compiled 6070 to 1679 computations (72.3% saved)

regimes200.0ms (5.4%)

Accuracy

Total 0.0b remaining (77.5%)

Threshold costs 0.0b (77.5%)

Counts

62 → 1

Compiler

Compiled 4102 to 2418 computations (41.1% 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

end71.0ms (1.9%)

Compiler: Compiled 74 to 47 computations (36.5% saved)

Details

analyze30.0ms (0.8%)

sample1.5s (40.3%)

simplify66.0ms (1.8%)

prune2.0ms (0%)

localize6.0ms (0.2%)

series63.0ms (1.7%)

rewrite10.0ms (0.3%)

simplify85.0ms (2.3%)

prune89.0ms (2.4%)

localize6.0ms (0.2%)

series57.0ms (1.5%)

rewrite15.0ms (0.4%)

simplify96.0ms (2.6%)

prune98.0ms (2.6%)

localize6.0ms (0.1%)

series80.0ms (2.1%)

rewrite15.0ms (0.4%)

simplify114.0ms (3%)

prune128.0ms (3.4%)

localize9.0ms (0.2%)

series662.0ms (17.7%)

rewrite29.0ms (0.8%)

simplify138.0ms (3.7%)

prune162.0ms (4.3%)

regimes200.0ms (5.4%)

simplify2.0ms (0.1%)

end71.0ms (1.9%)

Profiling