Details

analyze581.0ms (10.2%)

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 (70.8%)

Results

1.2s	2050×	body	1024	valid
1.0s	1951×	body	1024	invalid
615.0ms	4699×	body	128	valid
389.0ms	1050×	body	512	invalid
319.0ms	1011×	body	512	valid
141.0ms	788×	body	128	invalid
124.0ms	496×	body	256	invalid
112.0ms	489×	body	256	valid
8.0ms	7×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify57.0ms (1%)

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)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series51.0ms (0.9%)

Counts

3 → 48

Calls

3 calls:

32.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
11.0ms	(/.f64 (sinh.f64 y) y)
8.0ms	(sinh.f64 y)

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
19×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`

Counts

3 → 74

Calls

3 calls:

6.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)

simplify83.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

550×	`fma-def_binary64`
445×	`associate-/l*_binary64`
383×	`times-frac_binary64`
314×	`associate-*l/_binary64`
249×	`fma-neg_binary64`

Counts

122 → 129

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	2084
1	539	1920
2	1766	1774
3	4702	1772
4	4956	1772

prune64.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	127	3	130

Error

Counts

130 → 3

Alt Table

Status	Error	Program
	0.3b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	0.0b	(*.f64 (sin.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))

Compiler

Compiled 2110 to 801 computations (62% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series71.0ms (1.2%)

Counts

3 → 48

Calls

3 calls:

32.0ms	(*.f64 (sin.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
27.0ms	(/.f64 y (sinh.f64 y))
11.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`times-frac_binary64`
105×	`add-sqr-sqrt_binary64`
93×	`*-un-lft-identity_binary64`
91×	`add-cube-cbrt_binary64`
47×	`associate-r_binary64`

Counts

3 → 190

Calls

3 calls:

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

simplify142.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

657×	`times-frac_binary64`
535×	`fma-def_binary64`
453×	`associate-/l*_binary64`
343×	`associate-/r/_binary64`
317×	`fma-neg_binary64`

Counts

238 → 314

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	262	4088
1	627	3682
2	2011	3495
3	4798	3493
4	4966	3493

prune164.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	333	1	334
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	334	3	337

Error

Counts

337 → 3

Alt Table

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

Compiler

Compiled 6005 to 2381 computations (60.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series31.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

31.0ms

(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`times-frac_binary64`
44×	`*-un-lft-identity_binary64`
44×	`add-sqr-sqrt_binary64`
44×	`add-cube-cbrt_binary64`
14×	`associate-/r*_binary64`

Counts

1 → 76

Calls

1 calls:

6.0ms

(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))

simplify98.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

579×	`associate-/l*_binary64`
504×	`times-frac_binary64`
461×	`associate-/r/_binary64`
382×	`associate-/l/_binary64`
325×	`fma-def_binary64`

Counts

100 → 133

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	252	2560
1	600	2452
2	1926	2432
3	4676	2430
4	4951	2430

prune82.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	195	3	198

Error

Counts

198 → 3

Alt Table

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

Compiler

Compiled 3329 to 999 computations (70% saved)

regimes84.0ms (1.5%)

Accuracy

Total 0.0b remaining (15%)

Threshold costs 0.0b (15%)

Counts

17 → 1

Compiler

Compiled 922 to 672 computations (27.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	12	14
2	11	14

end74.0ms (1.3%)

Compiler: Compiled 51 to 36 computations (29.4% saved)

Details

analyze581.0ms (10.2%)

sample4.0s (70.8%)

simplify57.0ms (1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series51.0ms (0.9%)

rewrite13.0ms (0.2%)

simplify83.0ms (1.5%)

prune64.0ms (1.1%)

localize7.0ms (0.1%)

series71.0ms (1.2%)

rewrite35.0ms (0.6%)

simplify142.0ms (2.5%)

prune164.0ms (2.9%)

localize6.0ms (0.1%)

series31.0ms (0.6%)

rewrite12.0ms (0.2%)

simplify98.0ms (1.7%)

prune82.0ms (1.4%)

regimes84.0ms (1.5%)

simplify2.0ms (0%)

end74.0ms (1.3%)

Profiling