Details

analyze386.0ms (6.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample2.2s (35.4%)

Results

2.2s	8256×	body	128	valid
2.0ms	3×	body	128	invalid

Compiler

Compiled 88 to 67 computations (23.9% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`sub-neg_binary32`
7×	`+-commutative_binary32`
6×	`fma-def_binary32`
4×	`*-commutative_binary32`
4×	`div-sub_binary32`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

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

0.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 42 to 33 computations (21.4% saved)

localize34.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.2b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.4b	(*.f32 314159265359/50000000000 u2)

series31.0ms (0.5%)

Counts

4 → 32

Calls

4 calls:

21.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
7.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
2.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
1.0ms	(*.f32 314159265359/50000000000 u2)

rewrite65.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

532×	`log-prod_binary32`
271×	`prod-diff_binary32`
196×	`expm1-udef_binary32`
195×	`log1p-udef_binary32`
173×	`log-pow_binary32`

Counts

4 → 96

Calls

4 calls:

63.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
63.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
63.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
63.0ms	(*.f32 314159265359/50000000000 u2)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	227	36
2	2724	36
3	5084	36
0	0	0
1	0	0

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-neg_binary32`
413×	`sub-neg_binary32`
400×	`associate-/r*_binary32`
338×	`fma-def_binary32`
229×	`associate-+l+_binary32`

Counts

128 → 129

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	1154
1	317	1107
2	1026	977
3	4126	977
4	5151	977

prune181.0ms (2.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	115	14	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	14	130

Error

0.1b

Counts

130 → 14

Alt Table

Status	Error	Program
	1.2b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1))))
	0.5b	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
	6.7b	(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
	0.6b	(.f32 (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	2.9b	(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
	6.5b	(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.5b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 3032 to 2422 computations (20.1% saved)

localize38.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	0.2b	(cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))
✓	0.4b	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))

series27.0ms (0.4%)

Counts

4 → 56

Calls

4 calls:

21.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
3.0ms	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
2.0ms	(cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))
2.0ms	(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))

rewrite107.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

449×	`prod-diff_binary32`
222×	`expm1-udef_binary32`
221×	`log1p-udef_binary32`
202×	`log-pow_binary32`
132×	`fma-def_binary32`

Counts

4 → 82

Calls

4 calls:

105.0ms	(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
105.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
105.0ms	(cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))
105.0ms	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	269	34
2	3126	34
3	4916	34
4	5070	34
0	0	0
1	0	0

simplify80.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

959×	`fma-neg_binary32`
297×	`distribute-rgt-neg-in_binary32`
281×	`distribute-neg-frac_binary32`
258×	`fma-def_binary32`
239×	`sub-neg_binary32`

Counts

138 → 117

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	1024
1	247	989
2	762	865
3	2943	865
4	4980	865
5	5365	865

prune162.0ms (2.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	117	14	131

Error

0.1b

Counts

131 → 14

Alt Table

Status	Error	Program
	1.2b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1))))
	0.5b	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
	6.7b	(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
	0.6b	(.f32 (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))
	6.5b	(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.5b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))

Compiler

Compiled 2606 to 2045 computations (21.5% saved)

localize43.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.2b	(cos.f32 (*.f32 314159265359/50000000000 u2))
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	0.7b	(expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))

series25.0ms (0.4%)

Counts

2 → 32

Calls

2 calls:

21.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
3.0ms	(expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))

rewrite61.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

570×	`log-prod_binary32`
306×	`prod-diff_binary32`
211×	`expm1-udef_binary32`
210×	`log1p-udef_binary32`
188×	`log-pow_binary32`

Counts

2 → 48

Calls

2 calls:

60.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
60.0ms	(expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	246	25
2	2914	25
3	5444	25
0	0	0
1	0	0

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-neg_binary32`
309×	`fma-def_binary32`
293×	`sub-neg_binary32`
281×	`distribute-neg-frac_binary32`
218×	`associate-/r*_binary32`

Counts

80 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	944
1	268	909
2	856	783
3	3310	780
4	4986	780
5	5037	780

prune235.0ms (3.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	121	3	124
Fresh	2	10	12
Picked	1	0	1
Done	0	1	1
Total	124	14	138

Error

0.1b

Counts

138 → 14

Alt Table

Status	Error	Program
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1))))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (log.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))))
	1.2b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))
	1.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (fma.f32 (.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1)))
	0.5b	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.7b	(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))) (log.f32 (cbrt.f32 (exp.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))))
	0.6b	(.f32 (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	6.5b	(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.5b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.4b	(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))

Compiler

Compiled 3086 to 2488 computations (19.4% saved)

localize45.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.3b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	0.4b	(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)

series13.0ms (0.2%)

Counts

2 → 16

Calls

2 calls:

7.0ms	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
6.0ms	(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)

rewrite63.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

559×	`log-prod_binary32`
271×	`prod-diff_binary32`
222×	`expm1-udef_binary32`
221×	`log1p-udef_binary32`
192×	`log-pow_binary32`

Counts

2 → 47

Calls

2 calls:

62.0ms	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
62.0ms	(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	276	19
2	3016	19
3	5424	19
0	0	0
1	0	0

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1004×	`fma-neg_binary32`
777×	`cancel-sign-sub-inv_binary32`
538×	`times-frac_binary32`
434×	`fma-def_binary32`
385×	`unswap-sqr_binary32`

Counts

63 → 69

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	302
1	147	292
2	334	240
3	823	228
4	2319	228
5	5436	228

prune219.0ms (3.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	2	10	12
Picked	1	0	1
Done	1	0	1
Total	117	13	130

Error

0.1b

Counts

130 → 13

Alt Table

Status	Error	Program
	0.6b	(cbrt.f32 (.f32 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))) 1) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1))))
	0.7b	(cbrt.f32 (.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
	0.5b	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))
	1.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (fma.f32 (.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) -1)))
	0.5b	(cbrt.f32 (.f32 (pow.f32 (cos.f32 (expm1.f32 (log1p.f32 (.f32 314159265359/50000000000 u2)))) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))) (log.f32 (cbrt.f32 (exp.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))))
	0.6b	(.f32 (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	6.5b	(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
	1.5b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 2660 to 2199 computations (17.3% saved)

regimes1.9s (29.4%)

Accuracy

Total 0.3b remaining (78.8%)

Threshold costs 0.3b (78.8%)

Counts

176 → 1

Compiler

Compiled 33763 to 27974 computations (17.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	19	22
2	23	22
3	25	22
4	26	22
5	25	22

end210.0ms (3.3%)

Compiler: Compiled 327 to 272 computations (16.8% saved)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

Details

analyze386.0ms (6.1%)

sample2.2s (35.4%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize34.0ms (0.5%)

series31.0ms (0.5%)

rewrite65.0ms (1%)

simplify67.0ms (1.1%)

prune181.0ms (2.9%)

localize38.0ms (0.6%)

series27.0ms (0.4%)

rewrite107.0ms (1.7%)

simplify80.0ms (1.3%)

prune162.0ms (2.6%)

localize43.0ms (0.7%)

series25.0ms (0.4%)

rewrite61.0ms (1%)

simplify72.0ms (1.1%)

prune235.0ms (3.7%)

localize45.0ms (0.7%)

series13.0ms (0.2%)

rewrite63.0ms (1%)

simplify48.0ms (0.8%)

prune219.0ms (3.5%)

regimes1.9s (29.4%)

simplify3.0ms (0%)

end210.0ms (3.3%)

Profiling

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17