Details

analyze496.0ms (8.6%)

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)

sample115.0ms (2%)

Algorithm

1×

intervals

Results

18.0ms	54×	body	1024	invalid
12.0ms	196×	body	128	valid
7.0ms	20×	body	1024	valid
5.0ms	25×	body	512	invalid
4.0ms	23×	body	512	valid
2.0ms	16×	body	256	invalid
2.0ms	17×	body	256	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify71.0ms (1.2%)

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

12.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	12.7b	(/.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))
✓	12.7b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series68.0ms (1.2%)

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)

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:

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)

simplify86.0ms (1.5%)

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

prune81.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	110	6	116
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	6	117

Error

Counts

117 → 6

Alt Table

Status	Error	Program
	13.3b	(/.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) x)
▶	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	13.5b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
	1.1b	(.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))))
	13.4b	(/.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x))) x)
	0.7b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

Compiler

Compiled 2157 to 946 computations (56.1% 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 (0.9%)

Counts

2 → 48

Calls

2 calls:

30.0ms	(*.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)

simplify103.0ms (1.8%)

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 (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	140	6	146

Error

Counts

146 → 6

Alt Table

Status	Error	Program
	13.3b	(/.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) x)
✓	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	13.5b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
	1.1b	(.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))))
	13.4b	(/.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x))) x)
▶	0.7b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

Compiler

Compiled 2395 to 868 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))
✓	0.7b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

series88.0ms (1.5%)

Counts

2 → 48

Calls

2 calls:

55.0ms	(/.f64 x (sinh.f64 y))
33.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite19.0ms (0.3%)

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 (2%)

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

prune123.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	202	2	204
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	204	6	210

Error

Counts

210 → 6

Alt Table

Status	Error	Program
	13.5b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
✓	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	4.8b	(.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) x) (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x))))
	1.1b	(.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))))
▶	0.5b	(.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cbrt.f64 x) (sinh.f64 y))))
✓	0.7b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

Compiler

Compiled 3561 to 1073 computations (69.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series857.0ms (14.8%)

Counts

4 → 60

Calls

4 calls:

413.0ms	(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
232.0ms	(*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))
181.0ms	(cbrt.f64 (sin.f64 x))
29.0ms	(cbrt.f64 x)

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

264×	`times-frac_binary64`
161×	`add-sqr-sqrt_binary64`
157×	`cbrt-prod_binary64`
153×	`*-un-lft-identity_binary64`
153×	`add-cube-cbrt_binary64`

Counts

4 → 252

Calls

4 calls:

7.0ms	(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
5.0ms	(*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))
1.0ms	(cbrt.f64 (sin.f64 x))
1.0ms	(cbrt.f64 x)

simplify287.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

635×	`fma-def_binary64`
246×	`associate-/r/_binary64`
224×	`cancel-sign-sub-inv_binary64`
210×	`*-commutative_binary64`
198×	`associate-/l/_binary64`

Counts

312 → 421

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	424	8264
1	940	7685
2	3316	7469
3	4324	7319
4	4935	7319
5	4937	7319

prune270.0ms (4.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	501	0	501
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	501	6	507

Error

Counts

507 → 6

Alt Table

Status	Error	Program
	13.5b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
✓	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	4.8b	(.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) x) (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x))))
	1.1b	(.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))))
✓	0.5b	(.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cbrt.f64 x) (sinh.f64 y))))
✓	0.7b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

Compiler

Compiled 16960 to 3134 computations (81.5% saved)

regimes533.0ms (9.2%)

Accuracy

Total 0.1b remaining (68.8%)

Threshold costs 0.1b (68.8%)

Counts

135 → 1

Compiler

Compiled 8899 to 5113 computations (42.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	13	11
2	12	11

end0.0ms (0%)

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

sample2.2s (38.7%)

Algorithm

1×

intervals

Results

629.0ms	1928×	body	1024	invalid
382.0ms	6217×	body	128	valid
293.0ms	666×	body	1024	valid
204.0ms	963×	body	512	invalid
122.0ms	696×	body	512	valid
65.0ms	464×	body	256	invalid
50.0ms	420×	body	256	valid
49.0ms	726×	body	128	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 121 to 65 computations (46.3% saved)

Details

analyze496.0ms (8.6%)

sample115.0ms (2%)

simplify71.0ms (1.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series68.0ms (1.2%)

rewrite11.0ms (0.2%)

simplify86.0ms (1.5%)

prune81.0ms (1.4%)

localize7.0ms (0.1%)

series55.0ms (0.9%)

rewrite11.0ms (0.2%)

simplify103.0ms (1.8%)

prune89.0ms (1.5%)

localize6.0ms (0.1%)

series88.0ms (1.5%)

rewrite19.0ms (0.3%)

simplify114.0ms (2%)

prune123.0ms (2.1%)

localize13.0ms (0.2%)

series857.0ms (14.8%)

rewrite40.0ms (0.7%)

simplify287.0ms (4.9%)

prune270.0ms (4.7%)

regimes533.0ms (9.2%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.2s (38.7%)

Profiling