Details

analyze413.0ms (7.5%)

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)

sample2.3s (41.6%)

Results

2.3s	8256×	body	128	valid
1.0ms	6×	body	128	invalid

Compiler

Compiled 78 to 62 computations (20.5% saved)

preprocess32.0ms (0.6%)

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)

simplify13.0ms (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))))
	12.3b	(.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)

localize34.0ms (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)

series66.0ms (1.2%)

Counts

4 → 32

Calls

15 calls:

Time	Variable		Point	Expression
25.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
25.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
4.0ms	u1	@	-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))))

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 log1p.f32 (expm1.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 -.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 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 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 +.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 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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 log1p.f32 (expm1.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))))))

simplify67.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

538×	`cancel-sign-sub-inv_binary32`
348×	`times-frac_binary32`
276×	`associate-*l/_binary32`
247×	`associate-/r*_binary32`
218×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	1948
1	571	1783
2	2097	1637

Stop Event

1×	node limit

Counts

128 → 144

Calls

Call 1

Inputs
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (.f32 1/4 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))))) (.f32 1/8 (.f32 (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))))
(-.f32 (+.f32 (.f32 1/16 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 5))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/6 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (.f32 1/4 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))))))) (+.f32 (.f32 1/8 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))) (.f32 1/8 (.f32 (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 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 (.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 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)))))
(-.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 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (+.f32 (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))) (+.f32 (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2))))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
(-.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (.f32 2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (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 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 1 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))) (.f32 2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(-.f32 (+.f32 1 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)))))
(sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 (pow.f32 u1 2)))))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2)))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 5))) (/.f32 1 (pow.f32 u1 3)))) (+.f32 (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))) (+.f32 (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 (pow.f32 u1 2)))) (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 (pow.f32 u1 3)))))))) (+.f32 (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2)))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 3))))))
(sqrt.f32 (log.f32 (/.f32 -1 u1)))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 2)))))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (pow.f32 u1 2)))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (/.f32 1 (pow.f32 u1 3)))) (+.f32 (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 3)))) (+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 2)))))))) (+.f32 (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (pow.f32 u1 3)))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (pow.f32 u1 2))))))

Outputs
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))
(.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 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))
(fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.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 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) u1))))
(fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (.f32 1/2 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (.f32 1/4 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))))) (.f32 1/8 (.f32 (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))))
(-.f32 (fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1)))))) (.f32 1/8 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))))))
(+.f32 (fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (fma.f32 1/4 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) u1) (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) u1)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))) (.f32 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3)))) -1/8))
(+.f32 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (.f32 1/2 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))) (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1)) (-.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) 1/4) (.f32 1/8 (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1))) 3)))))))
(-.f32 (+.f32 (.f32 1/16 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 5))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/6 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (.f32 1/4 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))))))) (+.f32 (.f32 1/8 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))) (.f32 1/8 (.f32 (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3)))))))
(-.f32 (fma.f32 1/16 (/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 5)))) (pow.f32 u1 3)) (fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (fma.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (-.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 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1)))))))) (.f32 1/8 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3))) (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3)))))))
(+.f32 (fma.f32 1/16 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 5)))) (+.f32 (fma.f32 1/4 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) u1) (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) u1)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) u1)) (/.f32 (.f32 1/6 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (pow.f32 u1 3)))))) (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))) (+.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (pow.f32 u1 3)) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (*.f32 u1 u1))))))
(+.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1)) (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) 1/6)) (.f32 1/4 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1))))) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))) (fma.f32 1/16 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1))) 5)))) (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1))) 3))) (+.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1)) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (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 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 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 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 1/2 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) u1))))
(fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))
(-.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 (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)))))
(+.f32 (fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 1/4 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))) (.f32 -1/8 (/.f32 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (*.f32 u1 u1))))
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(fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (.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)))) (.f32 u1 u1)) (-.f32 (.f32 1/4 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 1/8 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))))))))
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(-.f32 (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 5))) (/.f32 1 (pow.f32 u1 3)))) (+.f32 (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))) (+.f32 (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 (pow.f32 u1 2)))) (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 (pow.f32 u1 3)))))))) (+.f32 (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2)))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 3))))))
(-.f32 (fma.f32 1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (fma.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 5))) (/.f32 1 (pow.f32 u1 3))) (+.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (fma.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 1 (.f32 u1 u1))) (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 1 (pow.f32 u1 3)))))))) (.f32 1/8 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))) (/.f32 1 (.f32 u1 u1))) (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 3))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) u1) (+.f32 (+.f32 (fma.f32 1/6 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (pow.f32 u1 3)) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 1/4) (.f32 u1 u1))) (fma.f32 1/16 (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 5))) (pow.f32 u1 3)) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))))
(-.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) u1) (+.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (/.f32 1/6 (pow.f32 u1 3)) (/.f32 1/4 (.f32 u1 u1)))) (fma.f32 1/16 (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1))) 5))) (pow.f32 u1 3)) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))) (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1))) 3))) (+.f32 (/.f32 1/8 (.f32 u1 u1)) (/.f32 1/8 (pow.f32 u1 3)))))
(sqrt.f32 (log.f32 (/.f32 -1 u1)))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(fma.f32 1/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) u1) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 2)))))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (pow.f32 u1 2)))))
(+.f32 (+.f32 (fma.f32 1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (.f32 u1 u1))))) (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (*.f32 u1 u1)))))
(+.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) u1) (fma.f32 1/4 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 u1 u1)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))) (.f32 (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (*.f32 u1 u1)) -1/8))
(-.f32 (+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1/4 (.f32 u1 u1)) (/.f32 1/2 u1)))) (.f32 1/8 (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (.f32 u1 u1))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (/.f32 1 (pow.f32 u1 3)))) (+.f32 (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 3)))) (+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 2)))))))) (+.f32 (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (pow.f32 u1 3)))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (pow.f32 u1 2))))))
(-.f32 (fma.f32 1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (/.f32 1 (pow.f32 u1 3))) (fma.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 3))) (+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (.f32 u1 u1)))))))) (.f32 1/8 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (pow.f32 u1 3))) (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (.f32 u1 u1))))))
(+.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) u1) (fma.f32 1/16 (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (pow.f32 u1 3)) (fma.f32 1/6 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (pow.f32 u1 3)) (fma.f32 1/4 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 u1 u1)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))) (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 (.f32 u1 u1))))))
(-.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) u1) (fma.f32 1/16 (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (pow.f32 u1 3)) (+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1/4 (.f32 u1 u1)) (/.f32 1/6 (pow.f32 u1 3))))))) (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (+.f32 (/.f32 1/8 (.f32 u1 u1)) (/.f32 1/8 (pow.f32 u1 3)))))

prune186.0ms (3.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	133	11	144
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	134	12	146

Error

0.1b

Counts

146 → 12

Alt Table

Status	Error	Program
▶	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))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
	12.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (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)))))
	2.8b	(+.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) -2)))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	1.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	1.7b	(.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))
	8.8b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	9.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Compiler

Compiled 4904 to 3092 computations (36.9% saved)

localize61.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(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)

series14.0ms (0.3%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	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))))))
2.0ms	u2	@	-inf	(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
2.0ms	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))))))
2.0ms	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))))))
2.0ms	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))))))

rewrite56.0ms (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 log1p.f32 (expm1.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 -.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 log1p.f32 (expm1.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 -.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 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 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 -.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 log1p.f32 (expm1.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))))))

simplify35.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

528×	`fma-def_binary32`
411×	`associate-l_binary32`
398×	`associate-r_binary32`
295×	`cancel-sign-sub-inv_binary32`
189×	`associate--l+_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	1358
1	382	1286
2	1304	1186

Stop Event

1×	node limit

Counts

111 → 109

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(+.f32 (.f32 (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) u1))))
(-.f32 (+.f32 (.f32 (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 2)))))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))) (/.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 u1 2)))))
(-.f32 (+.f32 (.f32 (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))) (+.f32 (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)))) (+.f32 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 5))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 2)))))))) (+.f32 (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))) (/.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 u1 2))))))
(.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 (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (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 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 u1 2)))))
(-.f32 (+.f32 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)))) (+.f32 (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (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 (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (+.f32 (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 2)))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 u1 3))))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
(-.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (.f32 2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (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 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 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))) (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 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 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 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1)) (.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(fma.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) 1/2) (.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
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(-.f32 (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (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 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)))) (-.f32 (.f32 (.f32 2/3 (pow.f32 u2 4)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 4))) (fma.f32 2 (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (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)))))))))
(-.f32 (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))))) (fma.f32 2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)))) (.f32 (.f32 4/45 (.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 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)))) (.f32 (pow.f32 u2 6) (*.f32 4/45 (pow.f32 (PI.f32) 6))))))
(.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 u2 (.f32 (.f32 (PI.f32) (cbrt.f32 -1)) -2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 (cbrt.f32 -1) (.f32 u2 -2)))))
(.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 u2 (.f32 (.f32 (PI.f32) (cbrt.f32 -1)) -2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 (cbrt.f32 -1) (.f32 u2 -2)))))
(.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 u2 (.f32 (.f32 (PI.f32) (cbrt.f32 -1)) -2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 (cbrt.f32 -1) (.f32 u2 -2)))))
(.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 u2 (.f32 (.f32 (PI.f32) (cbrt.f32 -1)) -2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 (cbrt.f32 -1) (.f32 u2 -2)))))
(*.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 (.f32 (PI.f32) u2) (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 (.f32 (PI.f32) u2) (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 (.f32 (PI.f32) u2) (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 (.f32 (PI.f32) u2) (neg.f32 (cbrt.f32 -1)))

prune169.0ms (3.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	109	12	121

Error

0.1b

Counts

121 → 12

Alt Table

Status	Error	Program
✓	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))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
	12.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (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)))))
	2.8b	(+.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) -2)))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	1.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	1.7b	(.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))
	8.7b	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
	9.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Compiler

Compiled 3163 to 2070 computations (34.6% saved)

localize51.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

series10.0ms (0.2%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
1.0ms	u2	@	0	(log1p.f32 (*.f32 (PI.f32) u2))
1.0ms	u2	@	inf	(log1p.f32 (*.f32 (PI.f32) u2))
1.0ms	u2	@	-inf	(log1p.f32 (*.f32 (PI.f32) u2))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))

rewrite47.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`prod-diff_binary32`
217×	`log1p-udef_binary32`
140×	`add-sqr-sqrt_binary32`
137×	`pow1_binary32`
135×	`*-un-lft-identity_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	285	29
2	3426	29

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

((#(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 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 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))))))

simplify50.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

674×	`fma-def_binary32`
411×	`cancel-sign-sub-inv_binary32`
279×	`associate-/r*_binary32`
172×	`associate-*r/_binary32`
170×	`times-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	1676
1	523	1593
2	1779	1489

Stop Event

1×	node limit

Counts

107 → 110

Calls

Call 1

Inputs
(*.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 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(-.f32 (.f32 u2 (PI.f32)) (.f32 1/2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(-.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 u2 (PI.f32))) (.f32 1/2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(-.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 u2 (PI.f32))) (+.f32 (.f32 1/4 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 1/2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))
(-.f32 (+.f32 (log.f32 (PI.f32)) (/.f32 1 (*.f32 (PI.f32) u2))) (log.f32 (/.f32 1 u2)))
(-.f32 (+.f32 (log.f32 (PI.f32)) (/.f32 1 (.f32 u2 (PI.f32)))) (+.f32 (.f32 1/2 (/.f32 1 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 u2 2)))) (log.f32 (/.f32 1 u2))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))) (+.f32 (.f32 1/2 (/.f32 1 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 u2 2)))) (log.f32 (/.f32 1 u2))))
(-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))
(-.f32 (+.f32 (/.f32 1 (*.f32 (PI.f32) u2)) (log.f32 (neg.f32 (PI.f32)))) (log.f32 (/.f32 -1 u2)))
(-.f32 (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (log.f32 (neg.f32 (PI.f32)))) (+.f32 (.f32 1/2 (/.f32 1 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 u2 2)))) (log.f32 (/.f32 -1 u2))))
(-.f32 (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (+.f32 (log.f32 (neg.f32 (PI.f32))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))) (+.f32 (.f32 1/2 (/.f32 1 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 u2 2)))) (log.f32 (/.f32 -1 u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (.f32 1/4 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))))) (.f32 1/8 (.f32 (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))))
(-.f32 (+.f32 (.f32 1/16 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 5))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/6 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (.f32 1/4 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))))))) (+.f32 (.f32 1/8 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))) (.f32 1/8 (.f32 (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 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 (.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 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)))))
(-.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 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (+.f32 (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))) (+.f32 (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2))))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
(-.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (.f32 2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (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 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))))

Outputs
(*.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 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(-.f32 (.f32 u2 (PI.f32)) (.f32 1/2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 (PI.f32) u2) (.f32 -1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(fma.f32 (PI.f32) u2 (.f32 (.f32 -1/2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2)))
(.f32 (PI.f32) (-.f32 u2 (.f32 (.f32 (.f32 1/2 u2) u2) (PI.f32))))
(-.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 u2 (PI.f32))) (.f32 1/2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
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(fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1)) (-.f32 (.f32 1/4 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 1/8 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))))))))
(-.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 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (+.f32 (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))) (+.f32 (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2))))))
(-.f32 (fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) 2)) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 1/16 (.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) 2)) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5)))) (fma.f32 1/4 (.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) 2)) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 1/6 (.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) 2)) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))) (.f32 1/8 (+.f32 (.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) 2)) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3)))) (.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) 2)) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3)))))))
(+.f32 (fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 1/16 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5)))) (fma.f32 1/4 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 1/6 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))) (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (+.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 u1 3)) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (*.f32 u1 u1))))))
(fma.f32 -1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (+.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 u1 3)) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1)))) (fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 1/16 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5)))) (fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1/4 (/.f32 (.f32 u1 u1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (pow.f32 u1 3)) 1/6)))))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(-.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 -2 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(+.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 u2 u2) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) -2))
(.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (.f32 2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 2 (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(+.f32 (fma.f32 2/3 (.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 u2 u2) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) -2))
(+.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))))
(-.f32 (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (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 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)))) (-.f32 (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (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)))))) (.f32 4/45 (.f32 (pow.f32 u2 6) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 6)))))))
(-.f32 (fma.f32 2/3 (.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (fma.f32 2 (.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 u2 u2) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 4/45 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(+.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 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))) (.f32 4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) 2)) (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 (*.f32 (PI.f32) u2) 2)) (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 (*.f32 (PI.f32) u2) 2)) (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 (*.f32 (PI.f32) u2) 2)) (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 (*.f32 (PI.f32) u2) 2)) (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 (*.f32 (PI.f32) u2) 2)) (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 (*.f32 (PI.f32) u2) 2)) (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 (*.f32 (PI.f32) u2) 2)) (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)))))

prune159.0ms (2.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	125	12	137

Error

0.1b

Counts

137 → 12

Alt Table

Status	Error	Program
✓	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))))))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
	12.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (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)))))
	2.8b	(+.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) -2)))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	1.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	1.7b	(.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))
	8.7b	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
	9.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Compiler

Compiled 3660 to 2315 computations (36.7% saved)

localize52.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
	0.2b	(log1p.f32 (*.f32 (PI.f32) u2))
	0.3b	(*.f32 (PI.f32) u2)
✓	13.5b	(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)

series150.0ms (2.7%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
116.0ms	u2	@	0	(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
13.0ms	u2	@	-inf	(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
12.0ms	u2	@	inf	(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
3.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
3.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))

rewrite54.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`prod-diff_binary32`
160×	`add-sqr-sqrt_binary32`
156×	`pow1_binary32`
154×	`*-un-lft-identity_binary32`
150×	`expm1-log1p-u_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	26
1	345	22
2	3991	22

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))

Outputs

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

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Rules

716×	`fma-def_binary32`
457×	`cancel-sign-sub-inv_binary32`
179×	`distribute-rgt-neg-in_binary32`
172×	`distribute-lft-neg-in_binary32`
161×	`times-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	2370
1	633	2089
2	2584	1845

Stop Event

1×	node limit

Counts

92 → 108

Calls

Call 1

Inputs
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(-.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) 1)
(-.f32 (+.f32 (/.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) (*.f32 (PI.f32) u2)) (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2))))) 1)
(-.f32 (+.f32 (/.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) (*.f32 (PI.f32) u2)) (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2))))) 1)
(-.f32 (+.f32 (/.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) (*.f32 (PI.f32) u2)) (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2))))) 1)
(-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1)
(-.f32 (+.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (/.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (*.f32 (PI.f32) u2))) 1)
(-.f32 (+.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (/.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (*.f32 (PI.f32) u2))) 1)
(-.f32 (+.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (/.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (*.f32 (PI.f32) u2))) 1)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (.f32 1/4 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))))) (.f32 1/8 (.f32 (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))))
(-.f32 (+.f32 (.f32 1/16 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 5))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/6 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (.f32 1/4 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))))))) (+.f32 (.f32 1/8 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))) (.f32 1/8 (.f32 (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 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 (.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 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)))))
(-.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 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (+.f32 (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))) (+.f32 (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2))))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
(-.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (.f32 2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (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 4/45 (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))))
(.f32 (cos.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) 1))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(-.f32 (.f32 (cos.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) 1))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (.f32 2 (/.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) 1))) (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))))) (*.f32 (PI.f32) u2))))
(-.f32 (.f32 (cos.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) 1))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) 1))) (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))))) (.f32 (PI.f32) u2))) (.f32 2 (/.f32 (.f32 (cos.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) 1))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) 2))) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u2 2))))))
(-.f32 (+.f32 (.f32 (cos.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) 1))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (.f32 4/3 (/.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) 1))) (pow.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) 3))) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))) (+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) 1))) (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))))) (.f32 (PI.f32) u2))) (.f32 2 (/.f32 (.f32 (cos.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) 1))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) 2))) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 u2 2))))))
(.f32 (cos.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(-.f32 (.f32 (cos.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (.f32 2 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1))))) (*.f32 (PI.f32) u2))))
(-.f32 (.f32 (cos.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (/.f32 (.f32 (cos.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1))) (.f32 (pow.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u2 2)))) (.f32 2 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1))))) (.f32 (PI.f32) u2)))))
(-.f32 (+.f32 (.f32 4/3 (/.f32 (.f32 (pow.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 3) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1))))) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))) (.f32 (cos.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (+.f32 (.f32 2 (/.f32 (.f32 (pow.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 2) (.f32 (cos.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u2 2)))) (.f32 2 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1))))) (*.f32 (PI.f32) u2)))))

Outputs
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(-.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) 1)
(expm1.f32 (-.f32 (log.f32 (PI.f32)) (neg.f32 (log.f32 u2))))
(+.f32 (/.f32 (PI.f32) (/.f32 1 u2)) -1)
(fma.f32 (PI.f32) u2 -1)
(-.f32 (+.f32 (/.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) (*.f32 (PI.f32) u2)) (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2))))) 1)
(+.f32 (/.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (neg.f32 (log.f32 u2)))) (*.f32 (PI.f32) u2)) (expm1.f32 (-.f32 (log.f32 (PI.f32)) (neg.f32 (log.f32 u2)))))
(+.f32 (/.f32 (PI.f32) (/.f32 1 u2)) (-.f32 (/.f32 (PI.f32) (.f32 (.f32 (PI.f32) u2) (/.f32 1 u2))) 1))
(+.f32 (fma.f32 (PI.f32) u2 -1) (/.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))
(-.f32 (+.f32 (/.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) (*.f32 (PI.f32) u2)) (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2))))) 1)
(+.f32 (/.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (neg.f32 (log.f32 u2)))) (*.f32 (PI.f32) u2)) (expm1.f32 (-.f32 (log.f32 (PI.f32)) (neg.f32 (log.f32 u2)))))
(+.f32 (/.f32 (PI.f32) (/.f32 1 u2)) (-.f32 (/.f32 (PI.f32) (.f32 (.f32 (PI.f32) u2) (/.f32 1 u2))) 1))
(+.f32 (fma.f32 (PI.f32) u2 -1) (/.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))
(-.f32 (+.f32 (/.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2)))) (*.f32 (PI.f32) u2)) (exp.f32 (-.f32 (log.f32 (PI.f32)) (log.f32 (/.f32 1 u2))))) 1)
(+.f32 (/.f32 (exp.f32 (-.f32 (log.f32 (PI.f32)) (neg.f32 (log.f32 u2)))) (*.f32 (PI.f32) u2)) (expm1.f32 (-.f32 (log.f32 (PI.f32)) (neg.f32 (log.f32 u2)))))
(+.f32 (/.f32 (PI.f32) (/.f32 1 u2)) (-.f32 (/.f32 (PI.f32) (.f32 (.f32 (PI.f32) u2) (/.f32 1 u2))) 1))
(+.f32 (fma.f32 (PI.f32) u2 -1) (/.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))
(-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1)
(expm1.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2))))
(+.f32 -1 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)))
(-.f32 (+.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (/.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (*.f32 (PI.f32) u2))) 1)
(+.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (-.f32 (/.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (*.f32 (PI.f32) u2)) 1))
(+.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) (+.f32 (/.f32 (neg.f32 (PI.f32)) (.f32 (.f32 (PI.f32) u2) (/.f32 -1 u2))) -1))
(-.f32 (+.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (/.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (*.f32 (PI.f32) u2))) 1)
(+.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (-.f32 (/.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (*.f32 (PI.f32) u2)) 1))
(+.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) (+.f32 (/.f32 (neg.f32 (PI.f32)) (.f32 (.f32 (PI.f32) u2) (/.f32 -1 u2))) -1))
(-.f32 (+.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (/.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (*.f32 (PI.f32) u2))) 1)
(+.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (-.f32 (/.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (*.f32 (PI.f32) u2)) 1))
(+.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) (+.f32 (/.f32 (neg.f32 (PI.f32)) (.f32 (.f32 (PI.f32) u2) (/.f32 -1 u2))) -1))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))
(fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))
(fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))
(fma.f32 1/2 (/.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) u1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (.f32 1/4 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))))) (.f32 1/8 (.f32 (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))))
(-.f32 (fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (fma.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (.f32 u1 u1)))))) (.f32 1/8 (.f32 (/.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (*.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))))))
(+.f32 (fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 1/4 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1)))))) (.f32 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (*.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3)))) -1/8))
(fma.f32 1/2 (/.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) u1) (fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1)) (-.f32 (.f32 1/4 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (*.f32 1/8 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))))))))
(-.f32 (+.f32 (.f32 1/16 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 5))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/6 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (.f32 1/4 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))))))) (+.f32 (.f32 1/8 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))) (.f32 1/8 (.f32 (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3)))))))
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(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (expm1.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 2)))
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(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (fma.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) 2 -2)))
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(+.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (expm1.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 2))) (.f32 -2 (.f32 (/.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (PI.f32)) (/.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (expm1.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 2))) u2))))
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(-.f32 (.f32 (cos.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (/.f32 (.f32 (cos.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1))) (.f32 (pow.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u2 2)))) (.f32 2 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1))))) (.f32 (PI.f32) u2)))))
(-.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (expm1.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 2))) (.f32 2 (+.f32 (/.f32 (cos.f32 (.f32 (expm1.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 2)) (/.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 2)))) (.f32 (/.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (PI.f32)) (/.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (expm1.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 2))) u2)))))
(fma.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 (.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) 2) -2)) (.f32 -2 (fma.f32 (/.f32 (pow.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) 2) (pow.f32 (PI.f32) 2)) (/.f32 (cos.f32 (+.f32 (.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) 2) -2)) (/.f32 (.f32 u2 u2) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (/.f32 (neg.f32 (PI.f32)) (.f32 (.f32 (PI.f32) u2) (/.f32 -1 u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (+.f32 (*.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) 2) -2)))))))
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(-.f32 (+.f32 (.f32 4/3 (/.f32 (.f32 (pow.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 3) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1))))) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))) (.f32 (cos.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (+.f32 (.f32 2 (/.f32 (.f32 (pow.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 2) (.f32 (cos.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u2 2)))) (.f32 2 (/.f32 (.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 2 (-.f32 (exp.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) 1))))) (*.f32 (PI.f32) u2)))))
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(fma.f32 -2 (fma.f32 (/.f32 (neg.f32 (PI.f32)) (.f32 (.f32 (PI.f32) u2) (/.f32 -1 u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (fma.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) 2 -2))) (.f32 (/.f32 (pow.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) 2) (pow.f32 (.f32 (PI.f32) u2) 2)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (fma.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) 2 -2))))) (fma.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (fma.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) 2 -2)) (/.f32 (.f32 (pow.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) 3) 4/3) (/.f32 (/.f32 (pow.f32 (.f32 (PI.f32) u2) 3) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sin.f32 (fma.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) 2 -2))))))

prune211.0ms (3.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	160	12	172

Error

0.1b

Counts

172 → 12

Alt Table

Status	Error	Program
✓	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))))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
	12.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (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)))))
	2.8b	(+.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 2 (pow.f32 (*.f32 (PI.f32) u2) 2)))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	1.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	1.7b	(.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))
	8.7b	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
	9.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Compiler

Compiled 5143 to 3236 computations (37.1% saved)

regimes997.0ms (18.1%)

Accuracy

Total 0.2b remaining (58.8%)

Threshold costs 0.2b (58.8%)

Counts

140 → 1

Compiler

Compiled 2488 to 1310 computations (47.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-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	17	25
1	29	25
2	33	25
3	35	25

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1)))))

Outputs

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

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

end174.0ms (3.2%)

Stop Event

1×

fuel

Compiler

Compiled 280 to 227 computations (18.9% 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

analyze413.0ms (7.5%)

sample2.3s (41.6%)

preprocess32.0ms (0.6%)

simplify13.0ms (0.2%)

prune4.0ms (0.1%)

localize34.0ms (0.6%)

series66.0ms (1.2%)

rewrite56.0ms (1%)

simplify67.0ms (1.2%)

prune186.0ms (3.4%)

localize61.0ms (1.1%)

series14.0ms (0.3%)

rewrite56.0ms (1%)

simplify35.0ms (0.6%)

prune169.0ms (3.1%)

localize51.0ms (0.9%)

series10.0ms (0.2%)

rewrite47.0ms (0.9%)

simplify50.0ms (0.9%)

prune159.0ms (2.9%)

localize52.0ms (0.9%)

series150.0ms (2.7%)

rewrite54.0ms (1%)

simplify57.0ms (1%)

prune211.0ms (3.8%)

regimes997.0ms (18.1%)

simplify2.0ms (0%)

end174.0ms (3.2%)

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