Details

analyze98.0ms (2.3%)

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)

sample1.4s (32.9%)

Results

1.4s

8256×

body

128

valid

Compiler

Compiled 47 to 37 computations (21.3% saved)

simplify57.0ms (1.3%)

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%)

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)

localize22.0ms (0.5%)

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))))

series42.0ms (1%)

Counts

3 → 72

Calls

3 calls:

28.0ms	(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
7.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
6.0ms	(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))

rewrite22.0ms (0.5%)

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

simplify106.0ms (2.4%)

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

prune117.0ms (2.7%)

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
▶	0.0b	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
✓	0.0b	(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
	0.1b	(/.f32 (/.f32 1 (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))))

Compiler

Compiled 2688 to 1428 computations (46.9% saved)

localize23.0ms (0.5%)

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)))
✓	1.9b	(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))

series890.0ms (20.5%)

Counts

3 → 64

Calls

3 calls:

524.0ms	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
361.0ms	(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
6.0ms	(exp.f32 (neg.f32 (/.f32 x s)))

rewrite10.0ms (0.2%)

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:

3.0ms	(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))))

simplify137.0ms (3.1%)

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

prune80.0ms (1.8%)

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
✓	0.0b	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
✓	0.0b	(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
▶	0.1b	(/.f32 (/.f32 1 (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))))

Compiler

Compiled 1796 to 823 computations (54.2% saved)

localize32.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
✓	0.0b	(/.f32 (/.f32 1 (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))))
	0.0b	(exp.f32 (/.f32 (neg.f32 x) s))
✓	0.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))))

series56.0ms (1.3%)

Counts

2 → 48

Calls

2 calls:

30.0ms	(/.f32 1 (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))))
26.0ms	(/.f32 (/.f32 1 (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))))

rewrite95.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

378×	`times-frac_binary32`
298×	`*-un-lft-identity_binary32`
224×	`sqrt-prod_binary32`
186×	`add-sqr-sqrt_binary32`
186×	`add-cube-cbrt_binary32`

Counts

2 → 303

Calls

2 calls:

19.0ms	(/.f32 (/.f32 1 (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))))
10.0ms	(/.f32 1 (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))))

simplify343.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

823×	`fma-neg_binary32`
696×	`times-frac_binary32`
386×	`associate-/l*_binary32`
364×	`associate-/r*_binary32`
250×	`associate-r_binary32`

Counts

351 → 296

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	14390
1	465	14069
2	1082	12463
3	4637	12457
4	5378	12457

prune463.0ms (10.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	498	0	498
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	498	3	501

Error

Counts

501 → 3

Alt Table

Status	Error	Program
✓	0.0b	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))))
✓	0.0b	(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
✓	0.1b	(/.f32 (/.f32 1 (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))) (sqrt.f32 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))))

Compiler

Compiled 15677 to 8205 computations (47.7% saved)

regimes266.0ms (6.1%)

Accuracy

Total 0.0b remaining (39.5%)

Threshold costs 0.0b (39.5%)

Counts

35 → 1

Compiler

Compiled 4722 to 3425 computations (27.5% 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

end53.0ms (1.2%)

Compiler: Compiled 62 to 47 computations (24.2% saved)

Details

analyze98.0ms (2.3%)

sample1.4s (32.9%)

simplify57.0ms (1.3%)

prune2.0ms (0%)

localize22.0ms (0.5%)

series42.0ms (1%)

rewrite22.0ms (0.5%)

simplify106.0ms (2.4%)

prune117.0ms (2.7%)

localize23.0ms (0.5%)

series890.0ms (20.5%)

rewrite10.0ms (0.2%)

simplify137.0ms (3.1%)

prune80.0ms (1.8%)

localize32.0ms (0.7%)

series56.0ms (1.3%)

rewrite95.0ms (2.2%)

simplify343.0ms (7.9%)

prune463.0ms (10.7%)

regimes266.0ms (6.1%)

simplify3.0ms (0.1%)

end53.0ms (1.2%)

Profiling