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)

sample2.8s (83.4%)

Results

1.8s	4152×	body	1024	valid
540.0ms	2069×	body	512	valid
192.0ms	399×	body	2048	valid
188.0ms	1020×	body	256	valid
60.0ms	616×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify27.0ms (0.8%)

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

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

56.8b

Counts

3 → 2

Alt Table

Status	Error	Program
	56.8b	(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
▶	56.8b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 53 to 37 computations (30.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.2b	(-.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)))

rewrite30.0ms (0.9%)

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:

30.0ms

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

simplify34.0ms (1%)

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

prune19.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	22	2	24

Error

0.0b

Counts

24 → 2

Alt Table

Status	Error	Program
	0.3b	(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2)
▶	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 318 to 218 computations (31.4% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)

series8.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

7.0ms

(sinh.f64 x)

rewrite29.0ms (0.9%)

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:

29.0ms

(sinh.f64 x)

simplify39.0ms (1.2%)

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

prune22.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Error

0.0b

Counts

50 → 2

Alt Table

Status	Error	Program
▶	0.3b	(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 608 to 443 computations (27.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 x)
✓	0.0b	(expm1.f64 (*.f64 2 (sinh.f64 x)))
✓	0.0b	(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))

series21.0ms (0.6%)

Counts

2 → 24

Calls

2 calls:

11.0ms	(expm1.f64 (*.f64 2 (sinh.f64 x)))
9.0ms	(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))

rewrite39.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

506×	`expm1-log1p-u_binary64`
505×	`log1p-expm1-u_binary64`
299×	`unpow-prod-down_binary64`
263×	`log-prod_binary64`
148×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	125	14
2	1386	14

Stop Event

1×	node limit

Counts

2 → 94

Calls

2 calls:

38.0ms	(expm1.f64 (*.f64 2 (sinh.f64 x)))
38.0ms	(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))

simplify40.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

546×	`distribute-lft-out_binary64`
540×	`fma-def_binary64`
310×	`*-commutative_binary64`
249×	`distribute-rgt-out_binary64`
232×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	291
1	107	287
2	255	283
3	719	281
4	2071	281
5	3452	281
6	4545	281

Stop Event

1×	node limit

Counts

118 → 110

prune81.0ms (2.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	157	3	160

Error

Counts

160 → 3

Alt Table

Status	Error	Program
✓	0.3b	(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2)
▶	1.3b	(/.f64 (*.f64 (sinh.f64 x) (pow.f64 (sqrt.f64 2) 2)) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 2360 to 1675 computations (29% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 x)
✓	1.0b	(pow.f64 (sqrt.f64 2) 2)

series0.0ms (0%)

Counts

1 → 0

Calls

1 calls:

0.0ms

(pow.f64 (sqrt.f64 2) 2)

rewrite23.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

216×	`log1p-expm1-u_binary64`
216×	`expm1-log1p-u_binary64`
212×	`add-sqr-sqrt_binary64`
201×	`add-cbrt-cube_binary64`
199×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	1
1	82	1
2	630	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

1 calls:

23.0ms

(pow.f64 (sqrt.f64 2) 2)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

1 → 1

prune23.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	49	3	52

Error

Counts

52 → 3

Alt Table

Status	Error	Program
✓	0.3b	(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2)
✓	1.3b	(/.f64 (*.f64 (sinh.f64 x) (pow.f64 (sqrt.f64 2) 2)) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 759 to 592 computations (22% saved)

regimes39.0ms (1.2%)

Accuracy

Total 0.0b remaining (26.3%)

Threshold costs 0.0b (26.3%)

Counts

13 → 1

Compiler

Compiled 552 to 443 computations (19.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	7	9

Stop Event

1×

saturated

end47.0ms (1.4%)

Compiler: Compiled 40 to 35 computations (12.5% saved)

Details

analyze5.0ms (0.1%)

sample2.8s (83.4%)

simplify27.0ms (0.8%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite30.0ms (0.9%)

simplify34.0ms (1%)

prune19.0ms (0.6%)

localize3.0ms (0.1%)

series8.0ms (0.2%)

rewrite29.0ms (0.9%)

simplify39.0ms (1.2%)

prune22.0ms (0.7%)

localize6.0ms (0.2%)

series21.0ms (0.6%)

rewrite39.0ms (1.2%)

simplify40.0ms (1.2%)

prune81.0ms (2.4%)

localize5.0ms (0.2%)

series0.0ms (0%)

rewrite23.0ms (0.7%)

simplify6.0ms (0.2%)

prune23.0ms (0.7%)

regimes39.0ms (1.2%)

simplify2.0ms (0.1%)

end47.0ms (1.4%)

Profiling