Details

analyze436.0ms (8.1%)

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)

sample3.3s (61.9%)

Results

977.0ms	1993×	body	1024	invalid
769.0ms	6421×	body	128	valid
364.0ms	667×	body	1024	valid
279.0ms	939×	body	512	invalid
231.0ms	709×	body	512	valid
128.0ms	459×	body	256	valid
124.0ms	768×	body	128	invalid
111.0ms	505×	body	256	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify68.0ms (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

14.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	14.0b	(/.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)
✓	0.2b	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	14.0b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series62.0ms (1.2%)

Counts

3 → 60

Calls

3 calls:

30.0ms	(/.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:

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)

simplify86.0ms (1.6%)

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

prune92.0ms (1.7%)

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
	27.4b	(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) 3))) x)
▶	0.4b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	14.6b	(/.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) x)
	14.9b	(/.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y)) x)
	36.9b	(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) x)
	1.4b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	14.0b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
	31.7b	(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))

Compiler

Compiled 2177 to 974 computations (55.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (sinh.f64 y) x)
	0.0b	(sinh.f64 y)
✓	0.4b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))

series54.0ms (1%)

Counts

2 → 48

Calls

2 calls:

30.0ms	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
23.0ms	(/.f64 (sinh.f64 y) x)

rewrite12.0ms (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:

6.0ms	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
3.0ms	(/.f64 (sinh.f64 y) x)

simplify113.0ms (2.1%)

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

prune90.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	140	8	148

Error

Counts

148 → 8

Alt Table

Status	Error	Program
	27.4b	(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) 3))) x)
✓	0.4b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	31.7b	(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
▶	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
	14.6b	(/.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) x)
	14.9b	(/.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y)) x)
	36.9b	(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) x)
	14.0b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))

Compiler

Compiled 2415 to 896 computations (62.9% 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)

series35.0ms (0.7%)

Counts

2 → 28

Calls

2 calls:

32.0ms	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
3.0ms	(/.f64 (sin.f64 x) 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-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)

simplify86.0ms (1.6%)

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

prune99.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	140	7	147

Error

Counts

147 → 7

Alt Table

Status	Error	Program
	27.4b	(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) 3))) x)
✓	0.4b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	14.6b	(/.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) x)
	14.9b	(/.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y)) x)
	36.9b	(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) x)
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
▶	0.1b	(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 x (sin.f64 x))))

Compiler

Compiled 2308 to 816 computations (64.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series49.0ms (0.9%)

Counts

3 → 40

Calls

3 calls:

39.0ms	(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 x (sin.f64 x))))
6.0ms	(/.f64 x (sin.f64 x))
3.0ms	(/.f64 1 (/.f64 x (sin.f64 x)))

rewrite33.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64`
103×	`add-sqr-sqrt_binary64`
91×	`*-un-lft-identity_binary64`
89×	`add-cube-cbrt_binary64`
44×	`associate-r_binary64`

Counts

3 → 184

Calls

3 calls:

13.0ms	(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 x (sin.f64 x))))
4.0ms	(/.f64 1 (/.f64 x (sin.f64 x)))
2.0ms	(/.f64 x (sin.f64 x))

simplify126.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

786×	`fma-def_binary64`
513×	`times-frac_binary64`
436×	`associate-/l*_binary64`
320×	`associate-/r/_binary64`
259×	`associate-/r*_binary64`

Counts

224 → 303

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	3849
1	572	3435
2	1840	3172
3	4453	3168
4	4997	3168

prune215.0ms (4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	322	0	322
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	322	7	329

Error

Counts

329 → 7

Alt Table

Status	Error	Program
	27.4b	(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) 3))) x)
✓	0.4b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	14.6b	(/.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) x)
	14.9b	(/.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) y)) x)
	36.9b	(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) x)
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 x (sin.f64 x))))

Compiler

Compiled 5777 to 2244 computations (61.2% saved)

regimes251.0ms (4.7%)

Accuracy

Total 0.1b remaining (69.7%)

Threshold costs 0.1b (69.7%)

Counts

66 → 1

Compiler

Compiled 3519 to 2253 computations (36% saved)

simplify3.0ms (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

end88.0ms (1.6%)

Compiler: Compiled 107 to 67 computations (37.4% saved)

Details

analyze436.0ms (8.1%)

sample3.3s (61.9%)

simplify68.0ms (1.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series62.0ms (1.2%)

rewrite11.0ms (0.2%)

simplify86.0ms (1.6%)

prune92.0ms (1.7%)

localize6.0ms (0.1%)

series54.0ms (1%)

rewrite12.0ms (0.2%)

simplify113.0ms (2.1%)

prune90.0ms (1.7%)

localize6.0ms (0.1%)

series35.0ms (0.7%)

rewrite11.0ms (0.2%)

simplify86.0ms (1.6%)

prune99.0ms (1.8%)

localize7.0ms (0.1%)

series49.0ms (0.9%)

rewrite33.0ms (0.6%)

simplify126.0ms (2.3%)

prune215.0ms (4%)

regimes251.0ms (4.7%)

simplify3.0ms (0%)

end88.0ms (1.6%)

Profiling