Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample2.9s (77.5%)

Results

1.8s	4069×	body	1024	valid
579.0ms	2066×	body	512	valid
217.0ms	432×	body	2048	valid
183.0ms	993×	body	256	valid
70.0ms	696×	body	128	valid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify28.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-neg_binary64`
508×	`associate-/l*_binary64`
414×	`associate-/r/_binary64`
307×	`associate-/l/_binary64`
215×	`fma-def_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	34	13
3	58	13
4	120	13
5	261	13
6	714	13
7	2100	13
8	4939	12

Stop Event

1×	node limit

Counts

1 → 2

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

57.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	57.8b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.9b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series2.0ms (0.1%)

Counts

1 → 8

Calls

1 calls:

2.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite28.0ms (0.7%)

Algorithm

1×	egg-rewrite
1×	batch-egg-rewrite

Rules

68×	`add-sqr-sqrt_binary64`
65×	`log1p-expm1-u_binary64`
65×	`expm1-log1p-u_binary64`
64×	`add-cbrt-cube_binary64`
64×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	130	6
2	2131	6
0	6	6

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 13

Calls

1 calls:

28.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify30.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-def_binary64`
676×	`unswap-sqr_binary64`
319×	`associate-l_binary64`
247×	`*-commutative_binary64`
207×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	98
1	64	98
2	148	98
3	382	98
4	735	98
5	1617	98
6	2513	98
7	4099	98

Stop Event

1×	node limit

Counts

21 → 22

prune18.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	3	23

Error

0.0b

Counts

23 → 3

Alt Table

Status	Error	Program
	0.8b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3))))) 2)
✓	57.8b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
▶	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 351 to 243 computations (30.8% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)

series7.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

7.0ms

(sinh.f64 x)

rewrite28.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

296×	`log1p-expm1-u_binary64`
296×	`expm1-log1p-u_binary64`
274×	`add-cbrt-cube_binary64`
270×	`add-log-exp_binary64`
268×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	63	3
2	791	3

Stop Event

1×	node limit

Counts

1 → 39

Calls

1 calls:

27.0ms

(sinh.f64 x)

simplify51.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

890×	`fma-def_binary64`
624×	`unswap-sqr_binary64`
306×	`associate-l_binary64`
234×	`*-commutative_binary64`
217×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	150
1	64	150
2	149	142
3	369	142
4	696	142
5	1505	142
6	2338	142
7	3592	142
8	4582	142

Stop Event

1×	node limit

Counts

51 → 48

prune36.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	48	3	51

Error

Counts

51 → 3

Alt Table

Status	Error	Program
▶	0.2b	(/.f64 (.f64 2 (/.f64 1 (/.f64 2 (.f64 2 (sinh.f64 x))))) 2)
	0.8b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3))))) 2)
✓	57.8b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 660 to 486 computations (26.4% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (*.f64 2 (sinh.f64 x)))
	0.0b	(sinh.f64 x)
✓	0.2b	(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 x))))

series27.0ms (0.7%)

Counts

2 → 24

Calls

2 calls:

19.0ms	(/.f64 2 (*.f64 2 (sinh.f64 x)))
7.0ms	(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 x))))

rewrite37.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`log1p-expm1-u_binary64`
634×	`expm1-log1p-u_binary64`
124×	`expm1-udef_binary64`
124×	`log1p-udef_binary64`
106×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	174	9
2	2039	9

Stop Event

1×	node limit

Counts

2 → 55

Calls

2 calls:

36.0ms	(/.f64 2 (*.f64 2 (sinh.f64 x)))
36.0ms	(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 x))))

simplify33.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

705×	`fma-def_binary64`
535×	`associate-l_binary64`
364×	`associate-r_binary64`
343×	`distribute-rgt-neg-in_binary64`
342×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	313
1	98	309
2	250	297
3	705	295
4	1537	295
5	4013	295

Stop Event

1×	node limit

Counts

79 → 73

prune74.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	121	3	124

Error

Counts

124 → 3

Alt Table

Status	Error	Program
✓	0.2b	(/.f64 (.f64 2 (/.f64 1 (/.f64 2 (.f64 2 (sinh.f64 x))))) 2)
▶	0.8b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3))))) 2)
✓	57.8b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 1869 to 1481 computations (20.8% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))))
✓	0.0b	(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
✓	0.1b	(*.f64 1/3 (pow.f64 x 3))

series13.0ms (0.3%)

Counts

3 → 24

Calls

3 calls:

6.0ms	(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
3.0ms	(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))))
3.0ms	(*.f64 1/3 (pow.f64 x 3))

rewrite51.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`
215×	`prod-diff_binary64`
158×	`add-sqr-sqrt_binary64`
154×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	342	46
2	3599	46

Stop Event

1×	node limit

Counts

3 → 60

Calls

3 calls:

49.0ms	(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))))
49.0ms	(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
49.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify67.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

624×	`unswap-sqr_binary64`
516×	`sqr-pow_binary64`
435×	`fma-def_binary64`
296×	`associate-l_binary64`
252×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	339
1	70	339
2	147	339
3	357	339
4	616	339
5	1333	339
6	1965	339
7	2914	339
8	3068	339
9	3316	339
10	3633	339
11	4114	339
12	4793	339

Stop Event

1×	node limit

Counts

84 → 76

prune71.0ms (1.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	3	79

Error

Counts

79 → 3

Alt Table

Status	Error	Program
✓	0.2b	(/.f64 (.f64 2 (/.f64 1 (/.f64 2 (.f64 2 (sinh.f64 x))))) 2)
✓	0.8b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3))))) 2)
✓	57.8b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 1860 to 1528 computations (17.8% saved)

regimes152.0ms (4%)

Accuracy

Total 0.0b remaining (70.5%)

Threshold costs 0.0b (70.5%)

Counts

66 → 1

Compiler

Compiled 2670 to 2273 computations (14.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	12	15

Stop Event

1×

saturated

end63.0ms (1.7%)

Compiler: Compiled 65 to 56 computations (13.8% saved)

Details

analyze5.0ms (0.1%)

sample2.9s (77.5%)

simplify28.0ms (0.7%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0.1%)

rewrite28.0ms (0.7%)

simplify30.0ms (0.8%)

prune18.0ms (0.5%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite28.0ms (0.7%)

simplify51.0ms (1.4%)

prune36.0ms (0.9%)

localize10.0ms (0.3%)

series27.0ms (0.7%)

rewrite37.0ms (1%)

simplify33.0ms (0.9%)

prune74.0ms (1.9%)

localize12.0ms (0.3%)

series13.0ms (0.3%)

rewrite51.0ms (1.3%)

simplify67.0ms (1.8%)

prune71.0ms (1.9%)

regimes152.0ms (4%)

simplify2.0ms (0.1%)

end63.0ms (1.7%)

Profiling