Details

analyze472.0ms (9.3%)

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)

sample3.1s (61%)

Results

1.0s	2063×	body	1024	invalid
783.0ms	6469×	body	128	valid
361.0ms	638×	body	1024	valid
322.0ms	1033×	body	512	invalid
219.0ms	690×	body	512	valid
112.0ms	459×	body	256	valid
111.0ms	540×	body	256	invalid
103.0ms	847×	body	128	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify65.0ms (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

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)

localize5.0ms (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)

series60.0ms (1.2%)

Counts

3 → 60

Calls

3 calls:

31.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
22.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
7.0ms	(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)

simplify85.0ms (1.7%)

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 (1.8%)

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
	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)
	13.0b	(fma.f64 1/5040 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 7)) x) (fma.f64 1/120 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 5)) x) (fma.f64 1/6 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 3)) x) (/.f64 (.f64 y (sin.f64 x)) x))))
	1.2b	(.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))))
▶	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	23.7b	(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) 3))) x)
	0.8b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	12.7b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
	13.4b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))

Compiler

Compiled 2245 to 1004 computations (55.3% saved)

localize5.0ms (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))

series54.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

31.0ms	(*.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)

simplify95.0ms (1.9%)

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

prune103.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Error

Counts

148 → 6

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
	0.8b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	13.0b	(fma.f64 1/5040 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 7)) x) (fma.f64 1/120 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 5)) x) (fma.f64 1/6 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 3)) x) (/.f64 (.f64 y (sin.f64 x)) x))))
	0.3b	(.f64 (.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
	23.7b	(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) 3))) x)
	13.4b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))

Compiler

Compiled 2400 to 896 computations (62.7% saved)

localize5.0ms (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)

series33.0ms (0.6%)

Counts

2 → 28

Calls

2 calls:

30.0ms	(*.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:

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

simplify76.0ms (1.5%)

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

prune86.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	139	6	145

Error

Counts

145 → 6

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
	0.8b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	13.0b	(fma.f64 1/5040 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 7)) x) (fma.f64 1/120 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 5)) x) (fma.f64 1/6 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 3)) x) (/.f64 (.f64 y (sin.f64 x)) x))))
▶	0.3b	(.f64 (.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
	23.7b	(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) 3))) x)
	13.4b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))

Compiler

Compiled 2319 to 832 computations (64.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.2b	(.f64 (.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 1 x))

series57.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

31.0ms	(.f64 (.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
26.0ms	(*.f64 (sinh.f64 y) (/.f64 1 x))

rewrite17.0ms (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:

8.0ms	(.f64 (.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
5.0ms	(*.f64 (sinh.f64 y) (/.f64 1 x))

simplify80.0ms (1.6%)

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

prune91.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	152	6	158

Error

Counts

158 → 6

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
	0.8b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	13.0b	(fma.f64 1/5040 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 7)) x) (fma.f64 1/120 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 5)) x) (fma.f64 1/6 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 3)) x) (/.f64 (.f64 y (sin.f64 x)) x))))
✓	0.3b	(.f64 (.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
	23.7b	(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) 3))) x)
	13.4b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))

Compiler

Compiled 2531 to 1207 computations (52.3% saved)

regimes362.0ms (7.1%)

Accuracy

Total 0.1b remaining (84.7%)

Threshold costs 0.1b (84.7%)

Counts

86 → 1

Compiler

Compiled 5757 to 3558 computations (38.2% saved)

simplify2.0ms (0%)

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

end86.0ms (1.7%)

Compiler: Compiled 108 to 72 computations (33.3% saved)

Details

analyze472.0ms (9.3%)

sample3.1s (61%)

simplify65.0ms (1.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series60.0ms (1.2%)

rewrite10.0ms (0.2%)

simplify85.0ms (1.7%)

prune93.0ms (1.8%)

localize5.0ms (0.1%)

series54.0ms (1.1%)

rewrite11.0ms (0.2%)

simplify95.0ms (1.9%)

prune103.0ms (2%)

localize5.0ms (0.1%)

series33.0ms (0.6%)

rewrite15.0ms (0.3%)

simplify76.0ms (1.5%)

prune86.0ms (1.7%)

localize6.0ms (0.1%)

series57.0ms (1.1%)

rewrite17.0ms (0.3%)

simplify80.0ms (1.6%)

prune91.0ms (1.8%)

regimes362.0ms (7.1%)

simplify2.0ms (0%)

end86.0ms (1.7%)

Profiling