Details

analyze527.0ms (7%)

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
0%	99.9%	0.1%	5
6.2%	93.7%	0.1%	6
37.5%	53.1%	9.5%	7
37.5%	51.5%	11%	8
43.7%	39.8%	16.5%	9
43.7%	38.6%	17.7%	10
46.8%	32.6%	20.6%	11
46.8%	31.9%	21.3%	12
48.4%	28.8%	22.8%	13
48.4%	28.5%	23.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.0s (53.6%)

Results

1.2s	2069×	body	1024	invalid
1.1s	2045×	body	1024	valid
612.0ms	4672×	body	128	valid
342.0ms	1038×	body	512	invalid
330.0ms	1035×	body	512	valid
117.0ms	501×	body	256	valid
115.0ms	530×	body	256	invalid
106.0ms	743×	body	128	invalid
3.0ms	3×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-neg_binary64`
610×	`div-sub_binary64`
491×	`times-frac_binary64`
410×	`associate-/l*_binary64`
352×	`cancel-sign-sub-inv_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	34	11
3	73	11
4	160	11
5	361	11
6	984	11
7	3177	11
8	4701	11
9	5010	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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

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	(/.f64 (sinh.f64 y) y)
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.0b	(sinh.f64 y)

series53.0ms (0.7%)

Counts

3 → 48

Calls

3 calls:

33.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
12.0ms	(/.f64 (sinh.f64 y) y)
8.0ms	(sinh.f64 y)

rewrite52.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

80× egg-rr

Counts

3 → 80

Calls

2 calls:

51.0ms	((sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (/.f64 (sinh.f64 y) y))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	148	20
2	1947	20
3	5022	20
0	0	0
1	0	0

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

994×	`fma-neg_binary64`
985×	`times-frac_binary64`
492×	`fma-def_binary64`
219×	`associate-l_binary64`
218×	`associate-/l*_binary64`

Counts

128 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1037
1	362	985
2	1115	957
3	3801	955
4	5984	955

prune94.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	3	120

Error

Counts

120 → 3

Alt Table

Status	Error	Program
	18.1b	(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
	13.7b	(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))
▶	0.7b	(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))

Compiler

Compiled 1805 to 874 computations (51.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 y 4) (sin.f64 x))
✓	0.1b	(.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x)))
✓	0.1b	(*.f64 (pow.f64 y 2) (sin.f64 x))
✓	0.2b	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))

series63.0ms (0.8%)

Counts

4 → 16

Calls

4 calls:

20.0ms	(.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x)))
16.0ms	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
15.0ms	(*.f64 (pow.f64 y 4) (sin.f64 x))
11.0ms	(*.f64 (pow.f64 y 2) (sin.f64 x))

rewrite85.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

68× egg-rr

Counts

4 → 68

Calls

2 calls:

83.0ms	((.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))) (.f64 (pow.f64 y 2) (sin.f64 x)) (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 (pow.f64 y 4) (sin.f64 x)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	287	42
2	2904	42
3	4956	42
4	4835	42
0	0	0
1	0	0

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

638×	`distribute-rgt-neg-in_binary64`
615×	`distribute-lft-neg-in_binary64`
489×	`associate-r_binary64`
475×	`associate-l_binary64`
418×	`fma-def_binary64`

Counts

84 → 100

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	472
1	213	456
2	722	392
3	2975	392
4	5274	392

prune84.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	100	3	103

Error

Counts

103 → 3

Alt Table

Status	Error	Program
	18.1b	(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
▶	13.7b	(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))
✓	0.7b	(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))

Compiler

Compiled 2779 to 1732 computations (37.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (sinh.f64 y) (sin.f64 x))
✓	0.3b	(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))
✓	13.6b	(/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))

series161.0ms (2.1%)

Counts

3 → 72

Calls

3 calls:

105.0ms	(/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))
33.0ms	(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))
23.0ms	(*.f64 (sinh.f64 y) (sin.f64 x))

rewrite58.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

123× egg-rr

Counts

3 → 123

Calls

2 calls:

56.0ms	((/.f64 y (.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 1 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x)))) (*.f64 (sinh.f64 y) (sin.f64 x)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	189	30
2	2409	30
3	4948	30
0	0	0
1	0	0

simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

324×	`cancel-sign-sub-inv_binary64`
253×	`fma-neg_binary64`
248×	`fma-def_binary64`
221×	`neg-mul-1_binary64`
193×	`times-frac_binary64`

Counts

195 → 184

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	247	2701
1	800	2620
2	3195	2582
3	4751	2575
4	5046	2575

prune151.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	216	3	219

Error

Counts

219 → 3

Alt Table

Status	Error	Program
▶	18.1b	(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
✓	13.7b	(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))
✓	0.7b	(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))

Compiler

Compiled 4799 to 2479 computations (48.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3))
✓	0.0b	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
✓	0.4b	(pow.f64 (sin.f64 x) 3)
✓	18.1b	(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)))

series177.0ms (2.4%)

Counts

4 → 64

Calls

4 calls:

104.0ms	(*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3))
44.0ms	(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
23.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
6.0ms	(pow.f64 (sin.f64 x) 3)

rewrite93.0ms (1.2%)

Algorithm

2×	batch-egg-rewrite

Rules

114× egg-rr

Counts

4 → 114

Calls

2 calls:

91.0ms

((cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3))) (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)))

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	233	40
2	2724	40
3	4932	40
4	5113	40
0	0	0
1	0	0

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Rules

250×	`cancel-sign-sub-inv_binary64`
239×	`fma-def_binary64`
229×	`times-frac_binary64`
177×	`distribute-rgt-in_binary64`
165×	`associate-/l*_binary64`

Counts

178 → 171

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	2407
1	746	2338
2	3352	2293
3	4986	2293

prune127.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	171	3	174

Error

Counts

174 → 3

Alt Table

Status	Error	Program
✓	18.1b	(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
✓	13.7b	(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))
✓	0.7b	(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))

Compiler

Compiled 3979 to 2241 computations (43.7% saved)

regimes1.3s (17.7%)

Accuracy

Total 0.0b remaining (40.6%)

Threshold costs 0.0b (40.6%)

Counts

227 → 1

Compiler

Compiled 18152 to 13033 computations (28.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	7	11

end67.0ms (0.9%)

Compiler: Compiled 65 to 46 computations (29.2% saved)

Details

analyze527.0ms (7%)

sample4.0s (53.6%)

simplify53.0ms (0.7%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series53.0ms (0.7%)

rewrite52.0ms (0.7%)

simplify64.0ms (0.8%)

prune94.0ms (1.3%)

localize11.0ms (0.1%)

series63.0ms (0.8%)

rewrite85.0ms (1.1%)

simplify41.0ms (0.5%)

prune84.0ms (1.1%)

localize8.0ms (0.1%)

series161.0ms (2.1%)

rewrite58.0ms (0.8%)

simplify96.0ms (1.3%)

prune151.0ms (2%)

localize9.0ms (0.1%)

series177.0ms (2.4%)

rewrite93.0ms (1.2%)

simplify79.0ms (1%)

prune127.0ms (1.7%)

regimes1.3s (17.7%)

simplify2.0ms (0%)

end67.0ms (0.9%)

Profiling