Details

analyze408.0ms (7.4%)

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 39 to 31 computations (20.5% saved)

sample2.2s (40.7%)

Results

2.2s	8256×	body	128	valid
1.0ms	3×	body	128	invalid

Compiler

Compiled 78 to 62 computations (20.5% saved)

preprocess39.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

104×	`fma-neg_binary32`
95×	`fma-def_binary32`
60×	`sub-neg_binary32`
45×	`cancel-sign-sub-inv_binary32`
30×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	88
1	59	84
2	98	84
3	124	84
4	155	84
5	191	84
6	231	84
7	319	84
8	490	84
9	531	84
10	585	84
11	635	84
12	726	84
13	773	84
14	791	84
15	794	84
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u1)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 cosTheta_i)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) cosTheta_i))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) cosTheta_i))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u1)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (cos.f32 (.f32 u1 (*.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (cos.f32 (.f32 u1 (*.f32 2 (PI.f32)))))

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

40×	`fma-neg_binary32`
22×	`sub-neg_binary32`
17×	`cancel-sign-sub-inv_binary32`
13×	`fma-def_binary32`
10×	`*-commutative_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	162	21
10	184	21
11	206	21
12	245	21
13	262	21
14	268	21
15	269	21

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

prune4.0ms (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

0.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	13.6b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 90 to 77 computations (14.4% saved)

localize33.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.1b	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.3b	(*.f32 (PI.f32) u2)

series41.0ms (0.7%)

Counts

4 → 32

Calls

15 calls:

Time	Variable		Point	Expression
26.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
3.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite56.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`prod-diff_binary32`
204×	`expm1-udef_binary32`
204×	`log1p-udef_binary32`
133×	`add-sqr-sqrt_binary32`
129×	`pow1_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	266	37
2	3250	37

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

Inputs
(*.f32 (PI.f32) u2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 (neg.f32 (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 1))) (fma.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 1 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 1))) (fma.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 1 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 1))) (fma.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 1 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 1))) (fma.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 1 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (fma.f32 (neg.f32 (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (fma.f32 (neg.f32 (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (fma.f32 (neg.f32 (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 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1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 -1 1/2) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))))

simplify46.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

659×	`fma-def_binary32`
543×	`associate-l_binary32`
400×	`times-frac_binary32`
334×	`associate-/r*_binary32`
309×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1797
1	437	1598
2	1398	1439

Stop Event

1×	node limit

Counts

128 → 144

Calls

Call 1

Inputs
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))) (.f32 1/2 (/.f32 (.f32 (-.f32 1/3 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (pow.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) 2)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 3)))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (+.f32 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (log.f32 (/.f32 -1 u1)))) 1/3) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 -4/45 (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
(sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))) (+.f32 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))) (+.f32 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (+.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (/.f32 (-.f32 1/3 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (pow.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) 2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 3)))))))
(sqrt.f32 (log.f32 (/.f32 -1 u1)))
(+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (pow.f32 u1 2)))) (+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (pow.f32 u1 2)))) (+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (.f32 (/.f32 (+.f32 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (log.f32 (/.f32 -1 u1)))) 1/3) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))))))

Outputs
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))))
(+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))))
(fma.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (.f32 1/2 (/.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (.f32 u1 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))
(fma.f32 1/2 (/.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))
(fma.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))) (.f32 (/.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) u1) (cos.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)))))
(fma.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (/.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (.f32 u1 u1)) (cos.f32 (.f32 (.f32 2 u2) (PI.f32))))) (fma.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (.f32 1/2 (/.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (.f32 u1 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))))
(fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 2)) (.f32 u1 u1))) (fma.f32 1/2 (/.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))))
(fma.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))) (.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) (+.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1) (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) 2)) (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (*.f32 u1 u1))))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))) (.f32 1/2 (/.f32 (.f32 (-.f32 1/3 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (pow.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) 2)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 3)))))))
(fma.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (/.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (.f32 u1 u1)) (cos.f32 (.f32 (.f32 2 u2) (PI.f32))))) (fma.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (.f32 1/2 (+.f32 (/.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (.f32 u1 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))) (/.f32 (-.f32 1/3 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (pow.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) 2)))) (/.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (pow.f32 u1 3)) (cos.f32 (.f32 (.f32 2 u2) (PI.f32)))))))))
(fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 2)) (.f32 u1 u1))) (fma.f32 1/2 (+.f32 (/.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 (/.f32 (+.f32 1/3 (/.f32 (.f32 -1/2 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 2))) (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (pow.f32 u1 3))) (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))))
(fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1) (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) 2)) (.f32 u1 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))))) (fma.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))) (.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) (+.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1) (.f32 (+.f32 1/3 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))))) (/.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (pow.f32 u1 3)))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) u1)) (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1)) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 (.f32 2 u2) (PI.f32)))))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) u1)) (.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(+.f32 (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (/.f32 (.f32 u1 u1) (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)))) (/.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) u1))))
(fma.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 (+.f32 (/.f32 (+.f32 1/2 (.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) -1/4)) u1) 1) (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (+.f32 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (log.f32 (/.f32 -1 u1)))) 1/3) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
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(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(fma.f32 -2 (.f32 (.f32 u2 u2) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
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(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (.f32 u1 u1))) (+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (fma.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (log.f32 (/.f32 -1 u1))) 1/3) (pow.f32 u1 3))) (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (.f32 u1 u1))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 (fma.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (log.f32 (/.f32 -1 u1))) 1/3) (pow.f32 u1 3)) (/.f32 1 u1))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 (fma.f32 -1/2 (/.f32 (+.f32 1/2 (.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) -1/4)) (log.f32 (/.f32 -1 u1))) 1/3) (pow.f32 u1 3)) (/.f32 1 u1))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) -1/4)) (*.f32 u1 u1))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))

prune194.0ms (3.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	133	11	144
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	135	11	146

Error

0.1b

Counts

146 → 11

Alt Table

Status	Error	Program
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	8.3b	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
	2.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))

Compiler

Compiled 4907 to 3074 computations (37.4% saved)

localize45.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
✓	0.3b	(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
✓	1.0b	(pow.f32 (PI.f32) 3)

series11.0ms (0.2%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	-inf	(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
1.0ms	u2	@	0	(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
1.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))

rewrite55.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

495×	`prod-diff_binary32`
253×	`log1p-udef_binary32`
166×	`add-sqr-sqrt_binary32`
160×	`pow1_binary32`
157×	`*-un-lft-identity_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	39
1	360	35
2	4088	35

Stop Event

1×	node limit

Counts

4 → 79

Calls

Call 1

Inputs
(pow.f32 (PI.f32) 3)
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (PI.f32) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (PI.f32) (pow.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (PI.f32) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (PI.f32) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (PI.f32) 2) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (PI.f32) 3/2) (pow.f32 (PI.f32) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (pow.f32 (sqrt.f32 (PI.f32)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (PI.f32) 2) 1) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (PI.f32) 2) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (PI.f32) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (PI.f32) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (PI.f32) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 3 (log.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (PI.f32))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (PI.f32) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (.f32 (PI.f32) u2) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) u2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (.f32 (PI.f32) u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (.f32 (PI.f32) u2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) 3) 3) (pow.f32 (pow.f32 u2 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (pow.f32 u2 3) 3) (pow.f32 (pow.f32 (PI.f32) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (.f32 (PI.f32) u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 3 (log.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (PI.f32) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (.f32 (PI.f32) u2) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (PI.f32) u2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 u2 (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (cbrt.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/3) (.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 2) 1/3) (cbrt.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2) 1/3) (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (PI.f32) u2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (PI.f32) u2)))))))

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

409×	`associate-l_binary32`
400×	`fma-def_binary32`
380×	`associate-r_binary32`
247×	`times-frac_binary32`
207×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1254
1	330	1144
2	1062	1025
3	4643	1025

Stop Event

1×	node limit

Counts

111 → 109

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/3 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (pow.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) 2)))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (+.f32 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (log.f32 (/.f32 -1 u1)))) 1/3) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 -4/45 (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(.f32 -1 (.f32 u2 (*.f32 (PI.f32) (cbrt.f32 -1))))
(.f32 -1 (.f32 u2 (*.f32 (PI.f32) (cbrt.f32 -1))))
(.f32 -1 (.f32 u2 (*.f32 (PI.f32) (cbrt.f32 -1))))
(.f32 -1 (.f32 u2 (*.f32 (PI.f32) (cbrt.f32 -1))))

Outputs
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))))
(fma.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (/.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 u1 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(fma.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 u1 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))))
(fma.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (/.f32 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (/.f32 u1 1/2)) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)))))
(fma.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 1/2 (+.f32 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (/.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (.f32 u1 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 u1 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))))
(fma.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 1/2 (fma.f32 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 2)) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 u1 u1)) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (*.f32 u1 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))))))
(fma.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (+.f32 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 2)) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (*.f32 u1 u1))))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/3 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (pow.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) 2)))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))))))
(fma.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 1/2 (.f32 (/.f32 (+.f32 1/3 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (pow.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) 2)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3))) (.f32 1/2 (+.f32 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (/.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (.f32 u1 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 u1 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))))
(fma.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 1/2 (+.f32 (fma.f32 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 2)) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 u1 u1)) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 u1 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))) (/.f32 (-.f32 1/3 (/.f32 1/2 (/.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 2))))) (/.f32 (.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (pow.f32 u1 3)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))))
(fma.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 1/2 (+.f32 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 u1 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (+.f32 (/.f32 (-.f32 1/3 (.f32 (/.f32 -1/2 (+.f32 (log.f32 -1) (log.f32 u1))) (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 2)))) (pow.f32 u1 3)) (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 2)) (*.f32 u1 u1)))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1)) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1)) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(+.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) u1)) (/.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) u1))))
(fma.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 (+.f32 (/.f32 (+.f32 1/2 (.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) -1/4)) u1) 1) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (+.f32 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (log.f32 (/.f32 -1 u1)))) 1/3) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (fma.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (log.f32 (/.f32 -1 u1))) 1/3) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1)) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 (/.f32 (fma.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (log.f32 (/.f32 -1 u1))) 1/3) (pow.f32 u1 3)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) u1)) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1)))))
(+.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (/.f32 (fma.f32 -1/2 (/.f32 (+.f32 1/2 (.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) -1/4)) (log.f32 (/.f32 -1 u1))) 1/3) (pow.f32 u1 3))) (.f32 (+.f32 (/.f32 (+.f32 1/2 (.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) -1/4)) u1) 1) (/.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) u1)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(fma.f32 -2 (.f32 (.f32 u2 u2) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(fma.f32 -2 (.f32 u2 (.f32 u2 (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (PI.f32) 2)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (+.f32 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))) 1) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(fma.f32 -2 (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 2))) (fma.f32 2/3 (.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(fma.f32 -2 (.f32 u2 (.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (PI.f32) 2)))) (fma.f32 2/3 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(+.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))) (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 -4/45 (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))))
(fma.f32 -2 (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 2))) (+.f32 (fma.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (.f32 (.f32 -4/45 (pow.f32 u2 6)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 6)))))
(fma.f32 -2 (.f32 u2 (.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (PI.f32) 2)))) (fma.f32 2/3 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (fma.f32 -4/45 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(+.f32 (.f32 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) 1) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (.f32 -2 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 -2 (.f32 (.f32 (PI.f32) u2) (cbrt.f32 -1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 (.f32 u2 (cbrt.f32 -1)) -2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 -2 (.f32 u2 (cbrt.f32 -1))))))
(.f32 (cos.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 -2 (.f32 (.f32 (PI.f32) u2) (cbrt.f32 -1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 (.f32 u2 (cbrt.f32 -1)) -2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 -2 (.f32 u2 (cbrt.f32 -1))))))
(.f32 (cos.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 -2 (.f32 (.f32 (PI.f32) u2) (cbrt.f32 -1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 (.f32 u2 (cbrt.f32 -1)) -2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 -2 (.f32 u2 (cbrt.f32 -1))))))
(.f32 (cos.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 -2 (.f32 (.f32 (PI.f32) u2) (cbrt.f32 -1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 (.f32 u2 (cbrt.f32 -1)) -2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 -2 (.f32 u2 (cbrt.f32 -1))))))
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(.f32 -1 (.f32 u2 (*.f32 (PI.f32) (cbrt.f32 -1))))
(neg.f32 (.f32 (.f32 (PI.f32) u2) (cbrt.f32 -1)))
(.f32 (PI.f32) (neg.f32 (.f32 u2 (cbrt.f32 -1))))
(.f32 u2 (.f32 (PI.f32) (neg.f32 (cbrt.f32 -1))))
(.f32 -1 (.f32 u2 (*.f32 (PI.f32) (cbrt.f32 -1))))
(neg.f32 (.f32 (.f32 (PI.f32) u2) (cbrt.f32 -1)))
(.f32 (PI.f32) (neg.f32 (.f32 u2 (cbrt.f32 -1))))
(.f32 u2 (.f32 (PI.f32) (neg.f32 (cbrt.f32 -1))))
(.f32 -1 (.f32 u2 (*.f32 (PI.f32) (cbrt.f32 -1))))
(neg.f32 (.f32 (.f32 (PI.f32) u2) (cbrt.f32 -1)))
(.f32 (PI.f32) (neg.f32 (.f32 u2 (cbrt.f32 -1))))
(.f32 u2 (.f32 (PI.f32) (neg.f32 (cbrt.f32 -1))))
(.f32 -1 (.f32 u2 (*.f32 (PI.f32) (cbrt.f32 -1))))
(neg.f32 (.f32 (.f32 (PI.f32) u2) (cbrt.f32 -1)))
(.f32 (PI.f32) (neg.f32 (.f32 u2 (cbrt.f32 -1))))
(.f32 u2 (.f32 (PI.f32) (neg.f32 (cbrt.f32 -1))))

prune174.0ms (3.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	110	10	120

Error

0.1b

Counts

120 → 10

Alt Table

Status	Error	Program
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	8.3b	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3) (PI.f32)) (pow.f32 u2 3))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	2.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))

Compiler

Compiled 3209 to 2058 computations (35.9% saved)

localize58.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3) (PI.f32)) (pow.f32 u2 3)))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3) (PI.f32)) (pow.f32 u2 3))))))
✓	0.3b	(.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3) (PI.f32)) (pow.f32 u2 3))
✓	1.0b	(pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3)

series4.0ms (0.1%)

Counts

4 → 44

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3) (PI.f32)) (pow.f32 u2 3))))))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3) (PI.f32)) (pow.f32 u2 3))))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3) (PI.f32)) (pow.f32 u2 3))))))
0.0ms	u2	@	0	(.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3) (PI.f32)) (pow.f32 u2 3))
0.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3) (PI.f32)) (pow.f32 u2 3))))))

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

495×	`prod-diff_binary32`
194×	`add-sqr-sqrt_binary32`
188×	`pow1_binary32`
184×	`*-un-lft-identity_binary32`
182×	`expm1-log1p-u_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	72
1	422	35
2	4790	35

Stop Event

1×	node limit

Counts

4 → 83

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3)
(.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3) (PI.f32)) (pow.f32 u2 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3) (PI.f32)) (pow.f32 u2 3))))))
(cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3) (PI.f32)) (pow.f32 u2 3)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (PI.f32) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (PI.f32) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (PI.f32)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (PI.f32) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) (pow.f32 (cbrt.f32 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (PI.f32)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) 6) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (PI.f32) 1/6) 6) (pow.f32 (pow.f32 (PI.f32) 1/6) 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) 3) (pow.f32 (cbrt.f32 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) (cbrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 1) (pow.f32 (cbrt.f32 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (PI.f32) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (PI.f32))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (PI.f32) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (PI.f32) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (.f32 (PI.f32) u2) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) u2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (.f32 (PI.f32) u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (.f32 (PI.f32) u2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) 3) 3) (pow.f32 (pow.f32 u2 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (pow.f32 u2 3) 3) (pow.f32 (pow.f32 (PI.f32) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (.f32 (PI.f32) u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (pow.f32 (.f32 (PI.f32) u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (.f32 (PI.f32) u2) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (.f32 (PI.f32) u2) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (PI.f32) u2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (.f32 (PI.f32) (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (.f32 (PI.f32) (pow.f32 u2 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 u2 (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (cbrt.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/3) (.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 2) 1/3) (cbrt.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (.f32 (PI.f32) u2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))))))

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

538×	`associate-l_binary32`
519×	`associate-r_binary32`
400×	`fma-def_binary32`
247×	`times-frac_binary32`
208×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1386
1	342	1276
2	1121	1157

Stop Event

1×	node limit

Counts

127 → 114

Calls

Call 1

Inputs
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/3 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (pow.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) 2)))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (+.f32 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (log.f32 (/.f32 -1 u1)))) 1/3) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 -4/45 (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(.f32 -1 (.f32 u2 (*.f32 (PI.f32) (cbrt.f32 -1))))
(.f32 -1 (.f32 u2 (*.f32 (PI.f32) (cbrt.f32 -1))))
(.f32 -1 (.f32 u2 (*.f32 (PI.f32) (cbrt.f32 -1))))
(.f32 -1 (.f32 u2 (*.f32 (PI.f32) (cbrt.f32 -1))))

Outputs
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))))
(fma.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (/.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 u1 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(fma.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) u1)))
(fma.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 1/2 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)))))
(fma.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 1/2 (+.f32 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (/.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (.f32 u1 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 u1 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))))
(fma.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 1/2 (fma.f32 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) 2)) (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1)) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (*.f32 u1 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))))))))
(fma.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) (+.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1) (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) 2)) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (*.f32 u1 u1))))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/3 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (pow.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) 2)))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))))))
(fma.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 1/2 (/.f32 (+.f32 1/3 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (pow.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) 2)))) (/.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (pow.f32 u1 3)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (.f32 1/2 (+.f32 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (/.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (.f32 u1 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 u1 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))))
(fma.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 1/2 (+.f32 (fma.f32 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) 2)) (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1)) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))))) (.f32 (/.f32 (+.f32 1/3 (/.f32 (.f32 -1/2 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) 2))) (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) (.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))) (pow.f32 u1 3))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(fma.f32 1/2 (+.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))))) (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) (+.f32 (/.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))))) (pow.f32 u1 3)) (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) 2)) (.f32 u1 u1))))) (.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1)) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (/.f32 u1 1/2)) (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1)) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (.f32 u1 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 (+.f32 (/.f32 (+.f32 1/2 (.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) -1/4)) u1) 1) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (+.f32 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (log.f32 (/.f32 -1 u1)))) 1/3) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (fma.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (log.f32 (/.f32 -1 u1))) 1/3) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1)) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (fma.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (log.f32 (/.f32 -1 u1))) 1/3) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (.f32 u1 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)))))
(+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 u1 3)) (fma.f32 -1/2 (/.f32 (+.f32 1/2 (.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) -1/4)) (log.f32 (/.f32 -1 u1))) 1/3)) (.f32 (+.f32 (/.f32 (+.f32 1/2 (.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) -1/4)) u1) 1) (/.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) u1)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(fma.f32 -2 (.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 2)) (*.f32 u2 u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(fma.f32 -2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (.f32 u2 u2))) 1) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(fma.f32 -2 (.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 2)) (.f32 u2 u2)) (fma.f32 2/3 (.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(fma.f32 -2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2))) (fma.f32 2/3 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(+.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (.f32 u2 u2))) (.f32 (pow.f32 (PI.f32) 4) (.f32 2/3 (pow.f32 u2 4))))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 -4/45 (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))))
(fma.f32 -2 (.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 2)) (.f32 u2 u2)) (+.f32 (fma.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (.f32 (.f32 -4/45 (pow.f32 u2 6)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 6)))))
(fma.f32 -2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2))) (fma.f32 2/3 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (fma.f32 -4/45 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(+.f32 (.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 4) (.f32 2/3 (pow.f32 u2 4))) 1) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (*.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (.f32 -2 (PI.f32)) (.f32 u2 (cbrt.f32 -1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 (.f32 u2 (cbrt.f32 -1)) -2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 u2 (.f32 -2 (cbrt.f32 -1))))))
(.f32 (cos.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (.f32 -2 (PI.f32)) (.f32 u2 (cbrt.f32 -1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 (.f32 u2 (cbrt.f32 -1)) -2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 u2 (.f32 -2 (cbrt.f32 -1))))))
(.f32 (cos.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (.f32 -2 (PI.f32)) (.f32 u2 (cbrt.f32 -1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 (.f32 u2 (cbrt.f32 -1)) -2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 u2 (.f32 -2 (cbrt.f32 -1))))))
(.f32 (cos.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (.f32 -2 (PI.f32)) (.f32 u2 (cbrt.f32 -1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 (.f32 u2 (cbrt.f32 -1)) -2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 u2 (.f32 -2 (cbrt.f32 -1))))))
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(.f32 -1 (.f32 u2 (*.f32 (PI.f32) (cbrt.f32 -1))))
(neg.f32 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))
(.f32 (.f32 (PI.f32) u2) (neg.f32 (cbrt.f32 -1)))
(.f32 (PI.f32) (neg.f32 (.f32 u2 (cbrt.f32 -1))))
(.f32 -1 (.f32 u2 (*.f32 (PI.f32) (cbrt.f32 -1))))
(neg.f32 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))
(.f32 (.f32 (PI.f32) u2) (neg.f32 (cbrt.f32 -1)))
(.f32 (PI.f32) (neg.f32 (.f32 u2 (cbrt.f32 -1))))
(.f32 -1 (.f32 u2 (*.f32 (PI.f32) (cbrt.f32 -1))))
(neg.f32 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))
(.f32 (.f32 (PI.f32) u2) (neg.f32 (cbrt.f32 -1)))
(.f32 (PI.f32) (neg.f32 (.f32 u2 (cbrt.f32 -1))))
(.f32 -1 (.f32 u2 (*.f32 (PI.f32) (cbrt.f32 -1))))
(neg.f32 (.f32 (PI.f32) (.f32 u2 (cbrt.f32 -1))))
(.f32 (.f32 (PI.f32) u2) (neg.f32 (cbrt.f32 -1)))
(.f32 (PI.f32) (neg.f32 (.f32 u2 (cbrt.f32 -1))))

prune161.0ms (2.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	114	10	124

Error

0.1b

Counts

124 → 10

Alt Table

Status	Error	Program
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	8.3b	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3) (PI.f32)) (pow.f32 u2 3))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	2.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))

Compiler

Compiled 3387 to 2192 computations (35.3% saved)

localize44.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	0.2b	(expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
✓	0.3b	(.f32 (PI.f32) (.f32 u2 2))

series46.0ms (0.8%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
26.0ms	u2	@	inf	(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
14.0ms	u2	@	-inf	(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
1.0ms	u2	@	0	(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
1.0ms	u2	@	0	(.f32 (PI.f32) (.f32 u2 2))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

rewrite51.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`prod-diff_binary32`
211×	`expm1-udef_binary32`
211×	`log1p-udef_binary32`
137×	`add-sqr-sqrt_binary32`
134×	`pow1_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	282	47
2	3356	47

Stop Event

1×	node limit

Counts

4 → 70

Calls

Call 1

Inputs
(.f32 (PI.f32) (.f32 u2 2))
(expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 u2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 (.f32 u2 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 u2 2) 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (.f32 u2 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 3) 1) (fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (+.f32 1 (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) -1) (+.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (cbrt.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) (cbrt.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1))) (cbrt.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (hypot.f32 1 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (hypot.f32 1 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2) (cbrt.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))))))

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

695×	`associate-l_binary32`
665×	`fma-def_binary32`
598×	`associate-r_binary32`
247×	`times-frac_binary32`
207×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1625
1	412	1498
2	1366	1362

Stop Event

1×	node limit

Counts

126 → 116

Calls

Call 1

Inputs
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/3 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (pow.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) 2)))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (+.f32 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (log.f32 (/.f32 -1 u1)))) 1/3) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 -4/45 (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(log.f32 2)
(+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (log.f32 2))
(+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 8 (pow.f32 (PI.f32) 4)) (.f32 -12 (pow.f32 (PI.f32) 4))))) (+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (log.f32 2)))
(+.f32 (.f32 1/720 (.f32 (+.f32 (.f32 240 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -240 (pow.f32 (PI.f32) 6)) (.f32 -32 (pow.f32 (PI.f32) 6)))) (pow.f32 u2 6))) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 8 (pow.f32 (PI.f32) 4)) (.f32 -12 (pow.f32 (PI.f32) 4))))) (+.f32 (.f32 -1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (log.f32 2))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))

Outputs
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 -2 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) 1)
(fma.f32 -2 (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) u2)) 1)
(+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1))
(fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 -2)) (fma.f32 (pow.f32 (PI.f32) 4) (*.f32 2/3 (pow.f32 u2 4)) 1))
(+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
(fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (+.f32 1 (.f32 -2 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))))
(fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) 1)))
(fma.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 -2)) (fma.f32 (pow.f32 (PI.f32) 4) (.f32 2/3 (pow.f32 u2 4)) 1)))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 2 u2)))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 2 u2)))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 2 u2)))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 2 u2)))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 2 u2)))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 2 u2)))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 2 u2)))
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))))
(fma.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))
(fma.f32 1/2 (/.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 u1 1/2)) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)))))
(fma.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 1/2 (+.f32 (.f32 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))))
(fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (.f32 1/2 (fma.f32 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 2)) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1)) (/.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (+.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) u1) (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 2)) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (*.f32 u1 u1))))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/3 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (pow.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) 2)))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) u1))))))
(fma.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (fma.f32 1/2 (.f32 (/.f32 (-.f32 1/3 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (pow.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) 2)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3))) (.f32 1/2 (+.f32 (.f32 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))))
(fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (.f32 1/2 (+.f32 (fma.f32 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 2)) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1)) (/.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (.f32 (/.f32 (+.f32 1/3 (.f32 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 2)) (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) -1/2)) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3))))))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (.f32 1/2 (+.f32 (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) u1) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (+.f32 (/.f32 (-.f32 1/3 (.f32 (/.f32 -1/2 (+.f32 (log.f32 -1) (log.f32 u1))) (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 2)))) (pow.f32 u1 3)) (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 2)) (.f32 u1 u1)))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1)) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) u1)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1)) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (/.f32 u1 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 (+.f32 (/.f32 (+.f32 1/2 (.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) -1/4)) u1) 1) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) u1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (+.f32 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (log.f32 (/.f32 -1 u1)))) 1/3) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (fma.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (log.f32 (/.f32 -1 u1))) 1/3) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1)) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (fma.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (log.f32 (/.f32 -1 u1))) 1/3) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (/.f32 u1 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1)))))
(+.f32 (.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (pow.f32 u1 3)) (fma.f32 -1/2 (/.f32 (+.f32 1/2 (.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) -1/4)) (log.f32 (/.f32 -1 u1))) 1/3)) (.f32 (+.f32 (/.f32 (+.f32 1/2 (.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) -1/4)) u1) 1) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(fma.f32 -2 (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(fma.f32 -2 (.f32 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (fma.f32 -2 (.f32 u2 (*.f32 (pow.f32 (PI.f32) 2) u2)) 1) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(fma.f32 -2 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (fma.f32 2/3 (.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(fma.f32 -2 (.f32 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (fma.f32 2/3 (.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(+.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 -2)) (.f32 (pow.f32 (PI.f32) 4) (*.f32 2/3 (pow.f32 u2 4))))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 -4/45 (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))))
(fma.f32 -2 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (fma.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 -4/45 (.f32 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))))
(fma.f32 -2 (.f32 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (fma.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (fma.f32 -4/45 (.f32 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(+.f32 (.f32 (fma.f32 (pow.f32 (PI.f32) 4) (.f32 2/3 (pow.f32 u2 4)) 1) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (.f32 (.f32 u2 u2) (*.f32 -2 (pow.f32 (PI.f32) 2))))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(log.f32 2)
(+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (log.f32 2))
(fma.f32 -1 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (log.f32 2))
(fma.f32 (neg.f32 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2) (log.f32 2))
(fma.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 (neg.f32 u2)) (log.f32 2))
(+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 8 (pow.f32 (PI.f32) 4)) (.f32 -12 (pow.f32 (PI.f32) 4))))) (+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (log.f32 2)))
(fma.f32 1/24 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -4)) (fma.f32 -1 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (log.f32 2)))
(fma.f32 1/24 (.f32 (pow.f32 (PI.f32) 4) (.f32 -4 (pow.f32 u2 4))) (fma.f32 (neg.f32 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2) (log.f32 2)))
(-.f32 (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -1/6) (log.f32 2)) (.f32 u2 (*.f32 (pow.f32 (PI.f32) 2) u2)))
(+.f32 (.f32 1/720 (.f32 (+.f32 (.f32 240 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -240 (pow.f32 (PI.f32) 6)) (.f32 -32 (pow.f32 (PI.f32) 6)))) (pow.f32 u2 6))) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 8 (pow.f32 (PI.f32) 4)) (.f32 -12 (pow.f32 (PI.f32) 4))))) (+.f32 (.f32 -1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (log.f32 2))))
(fma.f32 1/720 (.f32 (pow.f32 u2 6) (fma.f32 240 (pow.f32 (PI.f32) 6) (.f32 (pow.f32 (PI.f32) 6) -272))) (fma.f32 1/24 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -4)) (fma.f32 -1 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (log.f32 2))))
(fma.f32 (.f32 1/720 (.f32 (pow.f32 (PI.f32) 6) -32)) (pow.f32 u2 6) (fma.f32 1/24 (.f32 (pow.f32 (PI.f32) 4) (.f32 -4 (pow.f32 u2 4))) (fma.f32 (neg.f32 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2) (log.f32 2))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -2/45) (-.f32 (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -1/6) (log.f32 2)) (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) u2))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))

prune172.0ms (3.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	114	12	126

Error

0.1b

Counts

126 → 12

Alt Table

Status	Error	Program
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) -1) (+.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1) 1)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	8.3b	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
	2.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (hypot.f32 1 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (hypot.f32 1 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) -1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 3) 1) (fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (+.f32 1 (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 1)))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3) (PI.f32)) (pow.f32 u2 3))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	2.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))

Compiler

Compiled 3211 to 2162 computations (32.7% saved)

regimes1.2s (21%)

Accuracy

Total 0.2b remaining (68.1%)

Threshold costs 0.2b (68.1%)

Counts

157 → 1

Compiler

Compiled 3282 to 1786 computations (45.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	44
1	32	44
2	36	44
3	38	44

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) 2))) (pow.f32 u2 3))))))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) 2))) (pow.f32 u2 3))))))

end255.0ms (4.6%)

Stop Event

1×

fuel

Compiler

Compiled 494 to 355 computations (28.1% saved)

Iter	Nodes	Cost
0	30	88
1	59	84
2	98	84
3	124	84
4	155	84
5	191	84
6	231	84
7	319	84
8	490	84
9	531	84
10	585	84
11	635	84
12	726	84
13	773	84
14	791	84
15	794	84
0	3	3

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	162	21
10	184	21
11	206	21
12	245	21
13	262	21
14	268	21
15	269	21

Iter	Nodes	Cost
0	30	88
1	59	84
2	98	84
3	124	84
4	155	84
5	191	84
6	231	84
7	319	84
8	490	84
9	531	84
10	585	84
11	635	84
12	726	84
13	773	84
14	791	84
15	794	84
0	3	3

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	162	21
10	184	21
11	206	21
12	245	21
13	262	21
14	268	21
15	269	21

Details

analyze408.0ms (7.4%)

sample2.2s (40.7%)

preprocess39.0ms (0.7%)

simplify14.0ms (0.2%)

prune4.0ms (0.1%)

localize33.0ms (0.6%)

series41.0ms (0.7%)

rewrite56.0ms (1%)

simplify46.0ms (0.8%)

prune194.0ms (3.5%)

localize45.0ms (0.8%)

series11.0ms (0.2%)

rewrite55.0ms (1%)

simplify52.0ms (0.9%)

prune174.0ms (3.2%)

localize58.0ms (1.1%)

series4.0ms (0.1%)

rewrite60.0ms (1.1%)

simplify38.0ms (0.7%)

prune161.0ms (2.9%)

localize44.0ms (0.8%)

series46.0ms (0.8%)

rewrite51.0ms (0.9%)

simplify45.0ms (0.8%)

prune172.0ms (3.1%)

regimes1.2s (21%)

simplify2.0ms (0%)

end255.0ms (4.6%)

Profiling

Iter	Nodes	Cost
0	30	88
1	59	84
2	98	84
3	124	84
4	155	84
5	191	84
6	231	84
7	319	84
8	490	84
9	531	84
10	585	84
11	635	84
12	726	84
13	773	84
14	791	84
15	794	84
0	3	3

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	162	21
10	184	21
11	206	21
12	245	21
13	262	21
14	268	21
15	269	21