Details

analyze366.0ms (5.4%)

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)

sample1.9s (28.7%)

Results

1.9s	8256×	body	128	valid
1.0ms	5×	body	128	invalid

Compiler

Compiled 88 to 67 computations (23.9% saved)

simplify10.0ms (0.2%)

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

0.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 42 to 33 computations (21.4% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.2b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.3b	(*.f32 314159265359/50000000000 u2)

series23.0ms (0.3%)

Counts

4 → 36

Calls

4 calls:

18.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	(/.f32 u1 (-.f32 1 u1))
1.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
1.0ms	(*.f32 314159265359/50000000000 u2)

rewrite64.0ms (1%)

Algorithm

1×	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 → 101

Calls

4 calls:

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 u1 (-.f32 1 u1))
62.0ms	(*.f32 314159265359/50000000000 u2)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	227	34
2	2724	34
3	5084	34

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

666×	`fma-neg_binary32`
325×	`fma-def_binary32`
294×	`distribute-neg-frac_binary32`
290×	`sub-neg_binary32`
228×	`associate-/r*_binary32`

Counts

137 → 143

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	994
1	288	941
2	929	813
3	3390	813
4	4948	813
5	4993	813

prune201.0ms (3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	130	13	143
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	13	144

Error

0.1b

Counts

144 → 13

Alt Table

Status	Error	Program
	2.6b	(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	9.5b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
	0.5b	(.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	6.7b	(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
	1.1b	(.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)))))))
	0.7b	(.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))))
	0.3b	(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
	5.7b	(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

Compiler

Compiled 3223 to 2517 computations (21.9% saved)

localize35.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series25.0ms (0.4%)

Counts

3 → 44

Calls

3 calls:

20.0ms

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

2.0ms

(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))

2.0ms

(cos.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))

rewrite104.0ms (1.5%)

Algorithm

1×	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

3 → 50

Calls

3 calls:

103.0ms

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

103.0ms

(cos.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))

103.0ms

(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	269	30
2	3126	30
3	4916	30
4	5070	30

simplify77.0ms (1.1%)

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

94 → 86

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	976
1	247	941
2	762	817
3	2943	817
4	4980	817
5	5365	817

prune198.0ms (2.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	142	14	156

Error

0.0b

Counts

156 → 14

Alt Table

Status	Error	Program
	2.6b	(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	9.5b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
	0.5b	(.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	6.7b	(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.1b	(.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)))))))
	0.7b	(.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))))
▶	0.3b	(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
	5.7b	(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

Compiler

Compiled 3353 to 2522 computations (24.8% saved)

localize45.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series63.0ms (0.9%)

Counts

3 → 36

Calls

3 calls:

53.0ms	(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
5.0ms	(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)
3.0ms	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)

rewrite90.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

337×	`prod-diff_binary32`
240×	`expm1-udef_binary32`
239×	`log1p-udef_binary32`
209×	`log-pow_binary32`
139×	`add-sqr-sqrt_binary32`

Counts

3 → 54

Calls

3 calls:

89.0ms	(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
89.0ms	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
89.0ms	(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	296	40
2	3271	40
3	4846	40
4	4848	40

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

537×	`associate-/l*_binary32`
347×	`fma-def_binary32`
343×	`associate-/r*_binary32`
325×	`associate-r_binary32`
281×	`associate-l_binary32`

Counts

90 → 93

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1310
1	319	1251
2	1165	1057
3	4678	1057
4	4992	1057

prune181.0ms (2.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	4	8	12
Picked	1	0	1
Done	1	0	1
Total	111	12	123

Error

0.0b

Counts

123 → 12

Alt Table

Status	Error	Program
	2.6b	(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(cbrt.f32 (.f32 (log.f32 (exp.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
	1.1b	(.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)))))))
	0.5b	(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)))
	2.5b	(cbrt.f32 (.f32 (exp.f32 (.f32 3 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
	6.7b	(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
▶	0.5b	(cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) 3) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
	5.7b	(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

Compiler

Compiled 2978 to 2473 computations (17% saved)

localize52.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

series280.0ms (4.2%)

Counts

2 → 24

Calls

2 calls:

146.0ms	(pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) 3)
135.0ms	(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)

rewrite46.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`log1p-expm1-u_binary32`
732×	`expm1-log1p-u_binary32`
151×	`expm1-udef_binary32`
151×	`log1p-udef_binary32`
121×	`prod-diff_binary32`

Counts

2 → 46

Calls

2 calls:

45.0ms	(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)
45.0ms	(pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) 3)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	206	20
2	1938	20
3	4935	20

simplify111.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

600×	`associate-l_binary32`
501×	`fma-def_binary32`
493×	`associate-r_binary32`
438×	`unswap-sqr_binary32`
354×	`distribute-rgt-out_binary32`

Counts

70 → 63

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	268
1	105	264
2	262	258
3	761	252
4	2953	252
5	4887	252
6	4957	252
7	4999	252
8	4921	252

prune231.0ms (3.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	123	5	128
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	127	13	140

Error

0.0b

Counts

140 → 13

Alt Table

Status	Error	Program
	2.6b	(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) 3) (cos.f32 (pow.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) 3))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
	0.5b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (expm1.f32 (log1p.f32 (.f32 314159265359/50000000000 u2))))) 2) 3) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
	0.5b	(cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) 3) (cos.f32 (pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
	0.4b	(cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2)))) 2) 3) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
	2.5b	(cbrt.f32 (.f32 (exp.f32 (.f32 3 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.6b	(cbrt.f32 (.f32 (log.f32 (exp.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
	0.4b	(cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) 3) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
	5.7b	(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

Compiler

Compiled 3810 to 3177 computations (16.6% saved)

regimes2.2s (32.9%)

Accuracy

Total 0.3b remaining (77.8%)

Threshold costs 0.3b (77.8%)

Counts

206 → 1

Compiler

Compiled 38918 to 31736 computations (18.5% 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	17	28
1	23	28
2	27	28
3	29	28
4	30	28
5	29	28

end210.0ms (3.1%)

Compiler: Compiled 342 to 285 computations (16.7% 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

analyze366.0ms (5.4%)

sample1.9s (28.7%)

simplify10.0ms (0.2%)

prune2.0ms (0%)

localize29.0ms (0.4%)

series23.0ms (0.3%)

rewrite64.0ms (1%)

simplify78.0ms (1.2%)

prune201.0ms (3%)

localize35.0ms (0.5%)

series25.0ms (0.4%)

rewrite104.0ms (1.5%)

simplify77.0ms (1.1%)

prune198.0ms (2.9%)

localize45.0ms (0.7%)

series63.0ms (0.9%)

rewrite90.0ms (1.3%)

simplify61.0ms (0.9%)

prune181.0ms (2.7%)

localize52.0ms (0.8%)

series280.0ms (4.2%)

rewrite46.0ms (0.7%)

simplify111.0ms (1.6%)

prune231.0ms (3.4%)

regimes2.2s (32.9%)

simplify3.0ms (0%)

end210.0ms (3.1%)

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