Details

analyze156.0ms (5.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	24.7%	75.3%	0
0%	24.7%	75.3%	1
0%	24.7%	75.3%	2
12.4%	12.4%	75.3%	3
12.4%	12.4%	75.3%	4
18.5%	6.2%	75.3%	5
18.5%	6.2%	75.3%	6
21.6%	3.1%	75.3%	7
21.6%	3.1%	75.3%	8
23.2%	1.5%	75.3%	9
23.2%	1.5%	75.3%	10
23.9%	0.8%	75.3%	11
23.9%	0.8%	75.3%	12
24.3%	0.4%	75.3%	13
24.3%	0.4%	75.3%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample38.0ms (1.3%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify54.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

944×	`fma-neg_binary32`
518×	`unswap-sqr_binary32`
432×	`exp-prod_binary32`
340×	`times-frac_binary32`
333×	`associate-l_binary32`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	17	14
2	27	14
3	36	14
4	50	14
5	79	14
6	147	14
7	261	14
8	528	14
9	1676	14
10	3160	14
11	4121	14
12	4850	14

prune2.0ms (0.1%)

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	(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))

Compiler

Compiled 33 to 27 computations (18.2% saved)

localize23.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
✓	0.0b	(exp.f32 (/.f32 (neg.f32 x) s))
✓	0.0b	(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))

series37.0ms (1.3%)

Counts

3 → 72

Calls

3 calls:

24.0ms	(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
7.0ms	(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
6.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary32`
42×	`times-frac_binary32`
34×	`exp-prod_binary32`
33×	`add-sqr-sqrt_binary32`
33×	`add-cube-cbrt_binary32`

Counts

3 → 102

Calls

3 calls:

6.0ms	(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
4.0ms	(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
4.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

simplify108.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

727×	`fma-neg_binary32`
322×	`associate-/l/_binary32`
269×	`associate-/r/_binary32`
197×	`distribute-rgt-neg-in_binary32`
190×	`distribute-lft-neg-in_binary32`

Counts

174 → 161

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	2521
1	346	2365
2	806	2311
3	2414	2287
4	4850	2287
5	5089	2287

prune101.0ms (3.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	159	2	161
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	159	3	162

Error

Counts

162 → 3

Alt Table

Status	Error	Program
	22.6b	(fma.f32 1/4 (/.f32 x s) 1/2)
✓	0.0b	(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
▶	0.0b	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))

Compiler

Compiled 2662 to 1412 computations (47% saved)

localize24.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
✓	0.0b	(exp.f32 (neg.f32 (/.f32 x s)))
✓	1.5b	(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))

series767.0ms (26.5%)

Counts

3 → 64

Calls

3 calls:

393.0ms	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
368.0ms	(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
6.0ms	(exp.f32 (neg.f32 (/.f32 x s)))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`exp-prod_binary32`
21×	`*-un-lft-identity_binary32`
21×	`add-sqr-sqrt_binary32`
21×	`add-cube-cbrt_binary32`
18×	`times-frac_binary32`

Counts

3 → 78

Calls

3 calls:

4.0ms	(exp.f32 (neg.f32 (/.f32 x s)))
2.0ms	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
0.0ms	(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))

simplify136.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

452×	`fma-neg_binary32`
354×	`distribute-neg-frac_binary32`
292×	`times-frac_binary32`
241×	`associate-/l*_binary32`
200×	`associate-/r*_binary32`

Counts

142 → 118

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	172	2142
1	367	1839
2	964	1802
3	3283	1774
4	4792	1772
5	4934	1772
6	4991	1772
7	4918	1772

prune61.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	3	121

Error

Counts

121 → 3

Alt Table

Status	Error	Program
▶	22.6b	(fma.f32 1/4 (/.f32 x s) 1/2)
✓	0.0b	(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
✓	0.0b	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))

Compiler

Compiled 1770 to 807 computations (54.4% saved)

localize13.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(fma.f32 1/4 (/.f32 x s) 1/2)

series7.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(fma.f32 1/4 (/.f32 x s) 1/2)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary32`
1×	`add-sqr-sqrt_binary32`
1×	`add-cube-cbrt_binary32`
1×	`add-cbrt-cube_binary32`
1×	`add-exp-log_binary32`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f32 1/4 (/.f32 x s) 1/2)

simplify57.0ms (2%)

Algorithm

1×	egg-herbie

Rules

603×	`associate-*l/_binary32`
583×	`distribute-rgt-in_binary32`
536×	`distribute-lft-in_binary32`
466×	`associate-/l*_binary32`
446×	`distribute-rgt-out_binary32`

Counts

34 → 15

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	295
1	23	278
2	49	278
3	126	278
4	426	278
5	1634	278
6	4606	278
7	5127	278

prune8.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	15	3	18

Error

Counts

18 → 3

Alt Table

Status	Error	Program
✓	22.6b	(fma.f32 1/4 (/.f32 x s) 1/2)
✓	0.0b	(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
✓	0.0b	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))

Compiler

Compiled 173 to 111 computations (35.8% saved)

regimes120.0ms (4.1%)

Accuracy

Total 0.0b remaining (35.1%)

Threshold costs 0.0b (35.1%)

Counts

14 → 1

Compiler

Compiled 1221 to 1037 computations (15.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary32`
3×	`*-commutative_binary32`
3×	`sub-neg_binary32`
3×	`neg-sub0_binary32`
3×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	17	14
2	23	14
3	27	14
4	28	14
5	28	14

end0.0ms (0%)

Compiler: Compiled 10 to 8 computations (20% saved)

sample1.1s (39.6%)

Algorithm

1×

intervals

Results

478.0ms	8000×	body	128	valid
148.0ms	8000×	pre	128	true

Compiler

Compiled 59 to 47 computations (20.3% saved)

Details

analyze156.0ms (5.4%)

sample38.0ms (1.3%)

simplify54.0ms (1.9%)

prune2.0ms (0.1%)

localize23.0ms (0.8%)

series37.0ms (1.3%)

rewrite22.0ms (0.8%)

simplify108.0ms (3.7%)

prune101.0ms (3.5%)

localize24.0ms (0.8%)

series767.0ms (26.5%)

rewrite11.0ms (0.4%)

simplify136.0ms (4.7%)

prune61.0ms (2.1%)

localize13.0ms (0.4%)

series7.0ms (0.2%)

rewrite1.0ms (0%)

simplify57.0ms (2%)

prune8.0ms (0.3%)

regimes120.0ms (4.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (39.6%)

Profiling