Details

analyze168.0ms (3.2%)

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.2s (42.2%)

Results

2.2s	8256×	body	64	valid
1.0ms	3×	body	64	invalid

preprocess37.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	13.9b	(.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)

localize35.0ms (0.7%)

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))))
✓	0.4b	(*.f32 (PI.f32) u2)

series56.0ms (1.1%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
28.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
14.0ms	u2	@	-inf	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
3.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite68.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`prod-diff_binary32`
573×	`log-prod_binary32`
330×	`pow-prod-down_binary32`
287×	`pow2_binary32`
257×	`pow-unpow_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 → 115

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 0 (.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(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) 2) 1/2)))) (#(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 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 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 +.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.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 +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.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 -.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 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)) 1/2)))) (#(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 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 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 +.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 0 (cos.f32 (.f32 (PI.f32) (.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 (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 (pow.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) 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 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) 2) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 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 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))) (fma.f32 (neg.f32 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simplify112.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

677×	`fma-def_binary32`
560×	`associate-l_binary32`
455×	`associate-r_binary32`
399×	`times-frac_binary32`
346×	`associate-/r*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	1936
1	421	1724
2	1407	1554
3	6455	1554

Stop Event

1×	node limit

Counts

167 → 166

Calls

Call 1

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

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

prune497.0ms (9.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	156	10	166
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	157	11	168

Error

0.1b

Counts

168 → 11

Alt Table

Status	Error	Program
	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) 1)))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
	8.0b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 6) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6)) (+.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 2) (+.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 2) (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) 2)))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) 2) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) 2)))))
	9.8b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))))

Compiler

Compiled 5078 to 3148 computations (38% saved)

localize47.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cbrt.f32 (*.f32 (PI.f32) u2))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	0.4b	(*.f32 (PI.f32) u2)
✓	0.8b	(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)

series9.0ms (0.2%)

Counts

3 → 20

Calls

12 calls:

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

rewrite78.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

995×	`prod-diff_binary32`
633×	`log-prod_binary32`
229×	`expm1-udef_binary32`
229×	`log1p-udef_binary32`
225×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	333	29
2	3715	29

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))) (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(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 (cbrt.f32 (.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2))))) (#(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 (.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 (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) 2) (.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 u2) (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2)))))) (#(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 u2) (.f32 (sqrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (PI.f32) u2) 1/6) (.f32 (pow.f32 (.f32 (PI.f32) u2) 1/6) (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2)))))) (#(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 (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 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) 1) (cbrt.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) 2)) (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (cbrt.f32 (PI.f32))) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (.f32 (PI.f32) u2) 1/6)) (pow.f32 (.f32 (PI.f32) u2) 1/6))))) (#(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 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 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 +.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(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 pow.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)) 1/3)))) (#(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 (cos.f32 (.f32 u2 (.f32 (PI.f32) 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 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 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))))) (#(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 +.f32 0 (cbrt.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (.f32 (PI.f32) u2)))) (cbrt.f32 (exp.f32 (cbrt.f32 (.f32 (PI.f32) u2)))))) (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (.f32 (PI.f32) u2))))) (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cbrt.f32 (.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (PI.f32) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (cbrt.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 u2) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) 2) (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (PI.f32)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (PI.f32) u2) 1/6) (pow.f32 (.f32 (PI.f32) u2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/3) (cbrt.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) u2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cbrt.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cbrt.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (PI.f32) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cbrt.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))) (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(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 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))) (#(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 (*.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 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 u2) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(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 u2) (*.f32 (sqrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(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 (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 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) 1) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 2)) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (PI.f32))) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (*.f32 (PI.f32) u2) 1/6)) (pow.f32 (*.f32 (PI.f32) u2) 1/6))))) (#(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 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 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 +.f32 0 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(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 pow.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)) 1/3)))) (#(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 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 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 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 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))))) (#(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 +.f32 0 (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))) (cbrt.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))))) (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))) (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 u2) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 2) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (pow.f32 (*.f32 (PI.f32) u2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/3) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) u2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) u2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))))))

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

568×	`associate-/l/_binary32`
410×	`fma-def_binary32`
356×	`associate-l_binary32`
316×	`associate-r_binary32`
269×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	1146
1	300	1036
2	966	917
3	4353	839

Stop Event

1×	node limit

Counts

100 → 106

Calls

Call 1

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

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

prune340.0ms (6.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	124	11	135

Error

0.1b

Counts

135 → 11

Alt Table

Status	Error	Program
	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) 1)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 6) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6)) (+.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 2) (+.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 2) (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) 2)))))
	8.0b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 3)
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) 2) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) 2)))))
	9.8b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)) 3))))

Compiler

Compiled 3423 to 2087 computations (39% saved)

localize87.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log1p.f32 (*.f32 (PI.f32) u2))
	0.4b	(*.f32 (PI.f32) u2)
✓	0.8b	(pow.f32 (cbrt.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)) 3)
✓	12.4b	(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)

series66.0ms (1.3%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	u2	@	inf	(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
16.0ms	u2	@	0	(pow.f32 (cbrt.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)) 3)
12.0ms	u2	@	-inf	(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
8.0ms	u2	@	-inf	(pow.f32 (cbrt.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)) 3)
6.0ms	u2	@	inf	(pow.f32 (cbrt.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)) 3)

rewrite62.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`pow1_binary32`
764×	`add-log-exp_binary32`
762×	`expm1-log1p-u_binary32`
761×	`log1p-expm1-u_binary32`
746×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	227	17
2	2185	17

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (cbrt.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)) 3)
(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 -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 (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 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u2 u2)) (*.f32 (cbrt.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 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(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 (*.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 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) 3) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) 3) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) 3))))) (#(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) (cbrt.f32 (*.f32 u2 u2))) (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 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) 1) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (*.f32 (PI.f32) u2) 1/6)) (pow.f32 (*.f32 (PI.f32) u2) 1/6))))) (#(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 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) 3/2)))) (#(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 (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 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 exp.f32 (log.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 fma.f32 1 (+.f32 (*.f32 (PI.f32) u2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.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 +.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 (+.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) (+.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 2) (+.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 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) (+.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1)) (/.f32 1 (+.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 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u2 u2)) (*.f32 (cbrt.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 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(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 (*.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 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) 3) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) 3) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) 3))))) (#(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) (cbrt.f32 (*.f32 u2 u2))) (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 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) 1) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (*.f32 (PI.f32) u2) 1/6)) (pow.f32 (*.f32 (PI.f32) u2) 1/6))))) (#(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 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 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 exp.f32 (log.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 fma.f32 1 (+.f32 (*.f32 (PI.f32) u2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.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 +.f32 0 (log1p.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 2))) (log.f32 (cbrt.f32 (+.f32 (*.f32 (PI.f32) u2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 (*.f32 (PI.f32) u2) 1))) (log.f32 (sqrt.f32 (+.f32 (*.f32 (PI.f32) u2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (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))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.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 exp.f32 (log.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))))

simplify75.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

929×	`associate-*r/_binary32`
495×	`+-commutative_binary32`
276×	`fma-def_binary32`
231×	`distribute-rgt-in_binary32`
229×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	3453
1	822	2696
2	3594	2071

Stop Event

1×	node limit

Counts

150 → 119

Calls

Call 1

Inputs
(*.f32 u2 (PI.f32))
(+.f32 (.f32 (pow.f32 u2 2) (+.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (.f32 -1/2 (pow.f32 (PI.f32) 2)))) (.f32 u2 (PI.f32)))
(+.f32 (.f32 (pow.f32 u2 2) (+.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (.f32 -1/2 (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 (pow.f32 u2 3) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 3)) (+.f32 (.f32 1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (pow.f32 (PI.f32) 3))))) (.f32 u2 (PI.f32))))
(+.f32 (.f32 (pow.f32 u2 2) (+.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (.f32 -1/2 (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 (pow.f32 u2 3) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 3)) (+.f32 (.f32 1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (pow.f32 (PI.f32) 3))))) (+.f32 (.f32 u2 (PI.f32)) (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/24 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -1/2 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 1/8 (pow.f32 (PI.f32) 4)) (*.f32 1/3 (pow.f32 (PI.f32) 4)))))))))
(-.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))) 1)
(-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 u2 (PI.f32))) (exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2)))))) 1)
(-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 u2 (PI.f32))) (exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2)))))) 1)
(-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 u2 (PI.f32))) (exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2)))))) 1)
(-.f32 (exp.f32 (+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))) 1)
(-.f32 (+.f32 (exp.f32 (+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))) (/.f32 (exp.f32 (+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))) (*.f32 u2 (PI.f32)))) 1)
(-.f32 (+.f32 (exp.f32 (+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))) (/.f32 (exp.f32 (+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))) (*.f32 u2 (PI.f32)))) 1)
(-.f32 (+.f32 (exp.f32 (+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))) (/.f32 (exp.f32 (+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))) (*.f32 u2 (PI.f32)))) 1)
(-.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))) 1)
(-.f32 (+.f32 (.f32 2/3 (.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 u2 (PI.f32))) (pow.f32 (pow.f32 (-.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) 1) 4) 1/9))) (+.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 1/3 (.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 u2 (PI.f32))) (pow.f32 (pow.f32 (-.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))) 1) 4) 1/9))))) 1)
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(+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 1 u2)))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 1/2 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (.f32 1/2 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (.f32 -1 (PI.f32))) (/.f32 1 (*.f32 u2 (PI.f32)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (.f32 -1 (PI.f32))) (/.f32 1 (.f32 u2 (PI.f32))))) (.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (.f32 -1 (PI.f32))) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))

Outputs
(*.f32 u2 (PI.f32))
(+.f32 (.f32 (pow.f32 u2 2) (+.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (.f32 -1/2 (pow.f32 (PI.f32) 2)))) (.f32 u2 (PI.f32)))
(fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) 0) (*.f32 u2 (PI.f32)))
(fma.f32 u2 (PI.f32) (.f32 (.f32 u2 u2) 0))
(fma.f32 u2 (PI.f32) 0)
(+.f32 (.f32 (pow.f32 u2 2) (+.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (.f32 -1/2 (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 (pow.f32 u2 3) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 3)) (+.f32 (.f32 1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (pow.f32 (PI.f32) 3))))) (.f32 u2 (PI.f32))))
(fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) 0) (*.f32 u2 (PI.f32)))
(fma.f32 u2 (PI.f32) (.f32 (.f32 u2 u2) 0))
(fma.f32 u2 (PI.f32) 0)
(+.f32 (.f32 (pow.f32 u2 2) (+.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (.f32 -1/2 (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 (pow.f32 u2 3) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 3)) (+.f32 (.f32 1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (pow.f32 (PI.f32) 3))))) (+.f32 (.f32 u2 (PI.f32)) (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/24 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -1/2 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 1/8 (pow.f32 (PI.f32) 4)) (*.f32 1/3 (pow.f32 (PI.f32) 4)))))))))
(fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) 0) (fma.f32 (pow.f32 u2 3) (fma.f32 1/3 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 (PI.f32) 3) -1/3)) (fma.f32 u2 (PI.f32) (.f32 (pow.f32 u2 4) (fma.f32 1/24 (pow.f32 (PI.f32) 4) (fma.f32 -1/2 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 (PI.f32) 4) 11/24)))))))
(fma.f32 (.f32 u2 u2) 0 (fma.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) 0) (fma.f32 u2 (PI.f32) (.f32 (pow.f32 u2 4) (fma.f32 1/24 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 4) -1/24))))))
(+.f32 (fma.f32 u2 (PI.f32) 0) (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 0)))
(-.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))) 1)
(expm1.f32 (+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2)))))
(fma.f32 (PI.f32) (exp.f32 (log.f32 u2)) -1)
(fma.f32 u2 (PI.f32) -1)
(-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 u2 (PI.f32))) (exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2)))))) 1)
(+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2))))) (*.f32 u2 (PI.f32))) (expm1.f32 (+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2))))))
(+.f32 -1 (fma.f32 (PI.f32) (exp.f32 (log.f32 u2)) (*.f32 (/.f32 (PI.f32) u2) (/.f32 (exp.f32 (log.f32 u2)) (PI.f32)))))
(+.f32 -1 (fma.f32 (PI.f32) u2 (/.f32 (*.f32 1 u2) u2)))
(-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 u2 (PI.f32))) (exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2)))))) 1)
(+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2))))) (*.f32 u2 (PI.f32))) (expm1.f32 (+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2))))))
(+.f32 -1 (fma.f32 (PI.f32) (exp.f32 (log.f32 u2)) (*.f32 (/.f32 (PI.f32) u2) (/.f32 (exp.f32 (log.f32 u2)) (PI.f32)))))
(+.f32 -1 (fma.f32 (PI.f32) u2 (/.f32 (*.f32 1 u2) u2)))
(-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 u2 (PI.f32))) (exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2)))))) 1)
(+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2))))) (*.f32 u2 (PI.f32))) (expm1.f32 (+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2))))))
(+.f32 -1 (fma.f32 (PI.f32) (exp.f32 (log.f32 u2)) (*.f32 (/.f32 (PI.f32) u2) (/.f32 (exp.f32 (log.f32 u2)) (PI.f32)))))
(+.f32 -1 (fma.f32 (PI.f32) u2 (/.f32 (*.f32 1 u2) u2)))
(-.f32 (exp.f32 (+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))) 1)
(expm1.f32 (+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2)))))
(fma.f32 (neg.f32 (PI.f32)) (pow.f32 (/.f32 -1 u2) -1) -1)
(+.f32 -1 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)))
(-.f32 (+.f32 (exp.f32 (+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))) (/.f32 (exp.f32 (+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))) (*.f32 u2 (PI.f32)))) 1)
(+.f32 (exp.f32 (+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2))))) (-.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2))))) (*.f32 u2 (PI.f32))) 1))
(+.f32 -1 (fma.f32 (neg.f32 (PI.f32)) (pow.f32 (/.f32 -1 u2) -1) (*.f32 (/.f32 (neg.f32 (PI.f32)) u2) (/.f32 (pow.f32 (/.f32 -1 u2) -1) (PI.f32)))))
(+.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) (fma.f32 -1 (/.f32 1 (*.f32 u2 (/.f32 -1 u2))) -1))
(-.f32 (+.f32 (exp.f32 (+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))) (/.f32 (exp.f32 (+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))) (*.f32 u2 (PI.f32)))) 1)
(+.f32 (exp.f32 (+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2))))) (-.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2))))) (*.f32 u2 (PI.f32))) 1))
(+.f32 -1 (fma.f32 (neg.f32 (PI.f32)) (pow.f32 (/.f32 -1 u2) -1) (*.f32 (/.f32 (neg.f32 (PI.f32)) u2) (/.f32 (pow.f32 (/.f32 -1 u2) -1) (PI.f32)))))
(+.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) (fma.f32 -1 (/.f32 1 (*.f32 u2 (/.f32 -1 u2))) -1))
(-.f32 (+.f32 (exp.f32 (+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))) (/.f32 (exp.f32 (+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))) (*.f32 u2 (PI.f32)))) 1)
(+.f32 (exp.f32 (+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2))))) (-.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2))))) (*.f32 u2 (PI.f32))) 1))
(+.f32 -1 (fma.f32 (neg.f32 (PI.f32)) (pow.f32 (/.f32 -1 u2) -1) (*.f32 (/.f32 (neg.f32 (PI.f32)) u2) (/.f32 (pow.f32 (/.f32 -1 u2) -1) (PI.f32)))))
(+.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) (fma.f32 -1 (/.f32 1 (*.f32 u2 (/.f32 -1 u2))) -1))
(-.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))) 1)
(expm1.f32 (+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2)))))
(fma.f32 (PI.f32) (exp.f32 (log.f32 u2)) -1)
(fma.f32 u2 (PI.f32) -1)
(-.f32 (+.f32 (.f32 2/3 (.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 u2 (PI.f32))) (pow.f32 (pow.f32 (-.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) 1) 4) 1/9))) (+.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 1/3 (.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 u2 (PI.f32))) (pow.f32 (pow.f32 (-.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))) 1) 4) 1/9))))) 1)
(+.f32 (fma.f32 2/3 (.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2))))) (.f32 u2 (PI.f32))) (.f32 (pow.f32 (pow.f32 (expm1.f32 (+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2))))) 4) 1/18) (pow.f32 (pow.f32 (expm1.f32 (+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2))))) 4) 1/18))) (+.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2))))) (.f32 1/3 (.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2))))) (.f32 u2 (PI.f32))) (*.f32 (pow.f32 (pow.f32 (expm1.f32 (+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2))))) 4) 1/18) (pow.f32 (pow.f32 (expm1.f32 (+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2))))) 4) 1/18)))))) -1)
(+.f32 -1 (+.f32 (.f32 (PI.f32) (exp.f32 (log.f32 u2))) (.f32 (.f32 (.f32 (/.f32 (PI.f32) u2) (/.f32 (exp.f32 (log.f32 u2)) (PI.f32))) (*.f32 (pow.f32 (pow.f32 (fma.f32 (PI.f32) (exp.f32 (log.f32 u2)) -1) 4) 1/18) (pow.f32 (pow.f32 (fma.f32 (PI.f32) (exp.f32 (log.f32 u2)) -1) 4) 1/18))) 1)))
(+.f32 (.f32 (/.f32 (.f32 1 u2) u2) (*.f32 (pow.f32 (pow.f32 (fma.f32 u2 (PI.f32) -1) 4) 1/18) (pow.f32 (pow.f32 (fma.f32 u2 (PI.f32) -1) 4) 1/18))) (fma.f32 u2 (PI.f32) -1))
(-.f32 (+.f32 (.f32 2/3 (.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 u2 (PI.f32))) (pow.f32 (pow.f32 (-.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) 1) 4) 1/9))) (+.f32 (.f32 2/9 (.f32 (/.f32 (pow.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) 2) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (pow.f32 (/.f32 1 (-.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) 1)) 1/9))) (+.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) (+.f32 (.f32 -1/9 (.f32 (/.f32 (pow.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) 2) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (pow.f32 (/.f32 1 (-.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) 1)) 1/9))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 -2/9 (.f32 (/.f32 (pow.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) 2) (pow.f32 (PI.f32) 2)) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) 1) 4)) 1/9))) (.f32 1/9 (.f32 (/.f32 (pow.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) 2) (pow.f32 (PI.f32) 2)) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) 1) 4)) 1/9)))) (pow.f32 u2 2)) (pow.f32 (-.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) 1) 1/3)) (.f32 1/3 (.f32 (/.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 u2 (PI.f32))) (pow.f32 (pow.f32 (-.f32 (exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))) 1) 4) 1/9)))))))) 1)
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(fma.f32 1/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 -1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 u2 (PI.f32) (.f32 (*.f32 -1/4 (pow.f32 u2 4)) (pow.f32 (PI.f32) 4)))))
(fma.f32 1/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 -1/2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 u2 (PI.f32) (.f32 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 u2 4) -1/4)))))
(fma.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3) (fma.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2) (fma.f32 u2 (PI.f32) (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -1/4)))))
(+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))
(+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2))))
(+.f32 (log.f32 (PI.f32)) (log.f32 u2))
(+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 1 u2)))))
(+.f32 (log.f32 (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 u2))) (/.f32 1 (*.f32 u2 (PI.f32)))))
(+.f32 (log.f32 (PI.f32)) (+.f32 (log.f32 u2) (/.f32 1 (*.f32 u2 (PI.f32)))))
(+.f32 (+.f32 (log.f32 (PI.f32)) (log.f32 u2)) (/.f32 1 (*.f32 u2 (PI.f32))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 1/2 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (PI.f32)) (-.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 u2))) (/.f32 1 (.f32 u2 (PI.f32)))) (/.f32 1/2 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (log.f32 u2) (/.f32 1 (.f32 u2 (PI.f32))))) (/.f32 (/.f32 1/2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2)))
(+.f32 (log.f32 (PI.f32)) (+.f32 (log.f32 u2) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (/.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2)))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (.f32 1/2 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (PI.f32)) (-.f32 (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (fma.f32 -1 (neg.f32 (log.f32 u2)) (/.f32 1/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))) (/.f32 1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(+.f32 (+.f32 (log.f32 (PI.f32)) (/.f32 1 (.f32 u2 (PI.f32)))) (-.f32 (+.f32 (log.f32 u2) (/.f32 (/.f32 1/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3))) (/.f32 (/.f32 1/2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
(+.f32 (log.f32 (PI.f32)) (+.f32 (log.f32 u2) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (+.f32 (/.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3)) (/.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))))
(+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))
(+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2))))
(-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (.f32 -1 (PI.f32))) (/.f32 1 (*.f32 u2 (PI.f32)))))
(fma.f32 -1 (log.f32 (/.f32 -1 u2)) (+.f32 (log.f32 (neg.f32 (PI.f32))) (/.f32 1 (*.f32 u2 (PI.f32)))))
(+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2))))
(+.f32 (log.f32 (neg.f32 (PI.f32))) (-.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (log.f32 (/.f32 -1 u2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (.f32 -1 (PI.f32))) (/.f32 1 (.f32 u2 (PI.f32))))) (.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u2)) (+.f32 (log.f32 (neg.f32 (PI.f32))) (/.f32 1 (.f32 u2 (PI.f32))))) (/.f32 1/2 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(+.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2))) (-.f32 (/.f32 1 (.f32 u2 (PI.f32))) (/.f32 (/.f32 1/2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
(+.f32 (+.f32 (log.f32 (neg.f32 (PI.f32))) (-.f32 (/.f32 1 (.f32 u2 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (/.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (.f32 -1 (PI.f32))) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u2)) (+.f32 (log.f32 (neg.f32 (PI.f32))) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (/.f32 1/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))) (/.f32 1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(+.f32 (+.f32 (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (/.f32 (/.f32 1/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3))) (/.f32 -1/2 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (neg.f32 (PI.f32))) (-.f32 (-.f32 (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (/.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3))) (log.f32 (/.f32 -1 u2))) (/.f32 1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))

prune508.0ms (9.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	137	11	148

Error

0.1b

Counts

148 → 11

Alt Table

Status	Error	Program
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (-.f32 (exp.f32 (log1p.f32 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))) 1)) 3))))
	9.8b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 6) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6)) (+.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 2) (+.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 2) (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) 2)))))
	8.0b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 3)
	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) 2) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) 2)))))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)) 3))))

Compiler

Compiled 7076 to 4945 computations (30.1% saved)

localize56.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))))
✓	0.6b	(pow.f32 (exp.f32 u2) (PI.f32))
✓	13.4b	(log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))

series103.0ms (2%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
56.0ms	u2	@	inf	(log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))
31.0ms	u2	@	-inf	(log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))
4.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))))
3.0ms	u2	@	0	(log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))
2.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))))

rewrite57.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1031×	`pow1_binary32`
951×	`expm1-log1p-u_binary32`
950×	`log1p-expm1-u_binary32`
172×	`add-sqr-sqrt_binary32`
166×	`*-un-lft-identity_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	50
1	351	13
2	4652	13

Stop Event

1×	node limit

Counts

4 → 18

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 0) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))))))
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

538×	`distribute-rgt-in_binary32`
509×	`distribute-lft-in_binary32`
500×	`*-commutative_binary32`
386×	`associate-+l+_binary32`
351×	`associate-+r+_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	2325
1	592	2188
2	2202	1774

Stop Event

1×	node limit

Counts

74 → 68

Calls

Call 1

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

Outputs
(.f32 1/2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (-.f32 (+.f32 (.f32 -1/4 (pow.f32 (PI.f32) 2)) (.f32 1/2 (pow.f32 (PI.f32) 2))) (pow.f32 (.f32 1/2 (PI.f32)) 2)))) (.f32 1/2 (*.f32 u2 (PI.f32))))
(.f32 1/2 (+.f32 (.f32 (.f32 u2 u2) (-.f32 (.f32 (pow.f32 (PI.f32) 2) 1/4) (pow.f32 (.f32 1/2 (PI.f32)) 2))) (.f32 u2 (PI.f32))))
(.f32 1/2 (fma.f32 (.f32 u2 u2) (-.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (*.f32 u2 (PI.f32))))
(.f32 1/2 (.f32 u2 (+.f32 (PI.f32) (*.f32 u2 0))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (-.f32 (+.f32 (.f32 -1/4 (pow.f32 (PI.f32) 2)) (.f32 1/2 (pow.f32 (PI.f32) 2))) (pow.f32 (.f32 1/2 (PI.f32)) 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 1/4 (pow.f32 (PI.f32) 3)) (+.f32 (.f32 3 (-.f32 (.f32 1/6 (pow.f32 (PI.f32) 3)) (.f32 1/2 (.f32 (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (PI.f32))))) (.f32 -3/2 (.f32 (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (PI.f32))))))) (.f32 1/2 (.f32 u2 (PI.f32)))))
(fma.f32 1/2 (.f32 (.f32 u2 u2) (-.f32 (.f32 (pow.f32 (PI.f32) 2) 1/4) (pow.f32 (.f32 1/2 (PI.f32)) 2))) (fma.f32 1/6 (.f32 (pow.f32 u2 3) (fma.f32 1/4 (pow.f32 (PI.f32) 3) (fma.f32 3 (+.f32 (.f32 1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (.f32 (PI.f32) (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2))))) (.f32 (.f32 (PI.f32) (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2))) -3/2)))) (.f32 1/2 (.f32 u2 (PI.f32)))))
(+.f32 (.f32 1/6 (.f32 (pow.f32 u2 3) (fma.f32 1/4 (pow.f32 (PI.f32) 3) (fma.f32 3 (fma.f32 1/6 (pow.f32 (PI.f32) 3) (.f32 (.f32 -1/2 (PI.f32)) (fma.f32 1/2 (pow.f32 (PI.f32) 2) (neg.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2))))) (.f32 (PI.f32) (.f32 (fma.f32 1/2 (pow.f32 (PI.f32) 2) (neg.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2))) -3/2)))))) (.f32 1/2 (fma.f32 (.f32 u2 u2) (-.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (*.f32 u2 (PI.f32)))))
(+.f32 (.f32 (pow.f32 u2 3) (.f32 1/6 (fma.f32 1/4 (pow.f32 (PI.f32) 3) (fma.f32 3 (fma.f32 1/6 (pow.f32 (PI.f32) 3) (.f32 (.f32 1/4 (pow.f32 (PI.f32) 3)) -1/2)) (.f32 (.f32 1/4 (pow.f32 (PI.f32) 3)) -3/2))))) (.f32 1/2 (.f32 u2 (+.f32 (PI.f32) (*.f32 u2 0)))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (-.f32 (+.f32 (.f32 -1/4 (pow.f32 (PI.f32) 2)) (.f32 1/2 (pow.f32 (PI.f32) 2))) (pow.f32 (.f32 1/2 (PI.f32)) 2)))) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -3 (pow.f32 (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2)) 2)) (+.f32 (.f32 -6 (.f32 (-.f32 (.f32 1/6 (pow.f32 (PI.f32) 3)) (.f32 1/2 (.f32 (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (PI.f32)))) (PI.f32))) (+.f32 (.f32 3 (.f32 (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 12 (-.f32 (.f32 1/24 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 1/2 (.f32 (PI.f32) (-.f32 (.f32 1/6 (pow.f32 (PI.f32) 3)) (.f32 1/2 (.f32 (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (PI.f32)))))) (pow.f32 (.f32 1/2 (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2))) 2)))) (.f32 -3/8 (pow.f32 (PI.f32) 4)))))))) (+.f32 (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 1/4 (pow.f32 (PI.f32) 3)) (+.f32 (.f32 3 (-.f32 (.f32 1/6 (pow.f32 (PI.f32) 3)) (.f32 1/2 (.f32 (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (PI.f32))))) (.f32 -3/2 (.f32 (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (PI.f32))))))) (.f32 1/2 (*.f32 u2 (PI.f32))))))
(fma.f32 1/2 (.f32 (.f32 u2 u2) (-.f32 (.f32 (pow.f32 (PI.f32) 2) 1/4) (pow.f32 (.f32 1/2 (PI.f32)) 2))) (fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 -3 (pow.f32 (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2)) 2) (fma.f32 -6 (.f32 (PI.f32) (+.f32 (.f32 1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (.f32 (PI.f32) (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2)))))) (fma.f32 3 (.f32 (pow.f32 (PI.f32) 2) (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2))) (fma.f32 12 (-.f32 (.f32 1/24 (pow.f32 (PI.f32) 4)) (fma.f32 1/2 (.f32 (PI.f32) (+.f32 (.f32 1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (.f32 (PI.f32) (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2)))))) (pow.f32 (.f32 1/2 (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2))) 2))) (.f32 (pow.f32 (PI.f32) 4) -3/8)))))) (fma.f32 1/6 (.f32 (pow.f32 u2 3) (fma.f32 1/4 (pow.f32 (PI.f32) 3) (fma.f32 3 (+.f32 (.f32 1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (.f32 (PI.f32) (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2))))) (.f32 (.f32 (PI.f32) (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2))) -3/2)))) (.f32 1/2 (*.f32 u2 (PI.f32))))))
(+.f32 (fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 -3 (pow.f32 (fma.f32 1/2 (pow.f32 (PI.f32) 2) (neg.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2))) 2) (fma.f32 -6 (.f32 (PI.f32) (fma.f32 1/6 (pow.f32 (PI.f32) 3) (.f32 (.f32 -1/2 (PI.f32)) (fma.f32 1/2 (pow.f32 (PI.f32) 2) (neg.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2)))))) (fma.f32 3 (.f32 (pow.f32 (PI.f32) 2) (fma.f32 1/2 (pow.f32 (PI.f32) 2) (neg.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2)))) (fma.f32 12 (-.f32 (.f32 1/24 (pow.f32 (PI.f32) 4)) (fma.f32 (.f32 1/2 (PI.f32)) (fma.f32 1/6 (pow.f32 (PI.f32) 3) (.f32 (.f32 -1/2 (PI.f32)) (fma.f32 1/2 (pow.f32 (PI.f32) 2) (neg.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2))))) (.f32 1/4 (pow.f32 (fma.f32 1/2 (pow.f32 (PI.f32) 2) (neg.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2))) 2)))) (.f32 (pow.f32 (PI.f32) 4) -3/8)))))) (.f32 1/6 (.f32 (pow.f32 u2 3) (fma.f32 1/4 (pow.f32 (PI.f32) 3) (fma.f32 3 (fma.f32 1/6 (pow.f32 (PI.f32) 3) (.f32 (.f32 -1/2 (PI.f32)) (fma.f32 1/2 (pow.f32 (PI.f32) 2) (neg.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2))))) (.f32 (PI.f32) (.f32 (fma.f32 1/2 (pow.f32 (PI.f32) 2) (neg.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2))) -3/2))))))) (.f32 1/2 (fma.f32 (.f32 u2 u2) (-.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (*.f32 u2 (PI.f32)))))
(+.f32 (fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 -3 (pow.f32 (.f32 (pow.f32 (PI.f32) 2) 1/4) 2) (fma.f32 -6 (.f32 (PI.f32) (fma.f32 1/6 (pow.f32 (PI.f32) 3) (.f32 (.f32 1/4 (pow.f32 (PI.f32) 3)) -1/2))) (fma.f32 3 (.f32 (PI.f32) (.f32 1/4 (pow.f32 (PI.f32) 3))) (fma.f32 12 (+.f32 (fma.f32 1/24 (pow.f32 (PI.f32) 4) (.f32 (fma.f32 1/6 (pow.f32 (PI.f32) 3) (.f32 (.f32 1/4 (pow.f32 (PI.f32) 3)) -1/2)) (.f32 (PI.f32) -1/2))) (.f32 -1/4 (pow.f32 (.f32 (pow.f32 (PI.f32) 2) 1/4) 2))) (.f32 (pow.f32 (PI.f32) 4) -3/8)))))) (.f32 (pow.f32 u2 3) (.f32 1/6 (fma.f32 1/4 (pow.f32 (PI.f32) 3) (fma.f32 3 (fma.f32 1/6 (pow.f32 (PI.f32) 3) (.f32 (.f32 1/4 (pow.f32 (PI.f32) 3)) -1/2)) (.f32 (.f32 1/4 (pow.f32 (PI.f32) 3)) -3/2)))))) (.f32 1/2 (.f32 u2 (+.f32 (PI.f32) (*.f32 u2 0)))))
(log.f32 (sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32)))))
(log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))
(log.f32 (sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32)))))
(log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))
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1
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(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) u1)) (.f32 1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (/.f32 (pow.f32 u1 3) (fma.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (log.f32 (/.f32 -1 u1))) 1/3)))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (/.f32 (.f32 u1 u1) (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)))))))))
(fma.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) u1)) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 (/.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (pow.f32 u1 3)) (fma.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (log.f32 (/.f32 -1 u1))) 1/3)) (.f32 (/.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) u1) (/.f32 (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) u1)))))))
(fma.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 (/.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (.f32 u1 u1)) (+.f32 (+.f32 1/2 (.f32 -1/4 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (/.f32 (fma.f32 -1/2 (/.f32 (+.f32 1/2 (.f32 -1/4 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (log.f32 (/.f32 -1 u1))) 1/3) u1))) (/.f32 (cos.f32 (*.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) u1)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 2)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(fma.f32 -2 (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(fma.f32 -2 (.f32 u2 (.f32 u2 (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 -2))) 1) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(+.f32 (.f32 -4 (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (-.f32 (+.f32 (.f32 -1/4 (pow.f32 (PI.f32) 2)) (.f32 1/2 (pow.f32 (PI.f32) 2))) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (PI.f32))))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 2)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(fma.f32 -4 (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (PI.f32) (-.f32 (.f32 (pow.f32 (PI.f32) 2) 1/4) (pow.f32 (.f32 1/2 (PI.f32)) 2))))) (fma.f32 -2 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(fma.f32 -4 (.f32 (pow.f32 u2 3) (.f32 (-.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))) (fma.f32 -2 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(+.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (.f32 (PI.f32) 0) (.f32 (pow.f32 u2 3) -4)) (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (*.f32 u2 -2))))))
(+.f32 (.f32 -4 (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (-.f32 (+.f32 (.f32 -1/4 (pow.f32 (PI.f32) 2)) (.f32 1/2 (pow.f32 (PI.f32) 2))) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (PI.f32))))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 2)))) (+.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (pow.f32 u2 4) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 -4/3 (.f32 (+.f32 (.f32 1/4 (pow.f32 (PI.f32) 3)) (+.f32 (.f32 3 (-.f32 (.f32 1/6 (pow.f32 (PI.f32) 3)) (.f32 1/2 (.f32 (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (PI.f32))))) (.f32 -3/2 (.f32 (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (PI.f32))))) (PI.f32))) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 -2 (pow.f32 (-.f32 (+.f32 (.f32 -1/4 (pow.f32 (PI.f32) 2)) (.f32 1/2 (pow.f32 (PI.f32) 2))) (pow.f32 (.f32 1/2 (PI.f32)) 2)) 2)))))))))
(fma.f32 -4 (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (PI.f32) (-.f32 (.f32 (pow.f32 (PI.f32) 2) 1/4) (pow.f32 (.f32 1/2 (PI.f32)) 2))))) (+.f32 (fma.f32 -2 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (.f32 (pow.f32 u2 4) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (fma.f32 -4/3 (.f32 (PI.f32) (fma.f32 1/4 (pow.f32 (PI.f32) 3) (fma.f32 3 (+.f32 (.f32 1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (.f32 (PI.f32) (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2))))) (.f32 (.f32 (PI.f32) (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2))) -3/2)))) (fma.f32 2/3 (pow.f32 (PI.f32) 4) (.f32 -2 (pow.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 2) 1/4) (pow.f32 (*.f32 1/2 (PI.f32)) 2)) 2))))))))
(fma.f32 -4 (.f32 (pow.f32 u2 3) (.f32 (-.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))) (fma.f32 -2 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))) (fma.f32 (pow.f32 u2 4) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (.f32 (fma.f32 1/4 (pow.f32 (PI.f32) 3) (fma.f32 3 (fma.f32 1/6 (pow.f32 (PI.f32) 3) (.f32 (.f32 -1/2 (PI.f32)) (fma.f32 1/2 (pow.f32 (PI.f32) 2) (neg.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2))))) (.f32 (PI.f32) (.f32 (fma.f32 1/2 (pow.f32 (PI.f32) 2) (neg.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2))) -3/2)))) -4/3) (PI.f32) (fma.f32 (pow.f32 (PI.f32) 4) 2/3 (.f32 -2 (pow.f32 (-.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2) (pow.f32 (*.f32 1/2 (PI.f32)) 2)) 2))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(+.f32 (.f32 (+.f32 (.f32 (.f32 (PI.f32) 0) (.f32 (pow.f32 u2 3) -4)) 1) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 -2))) (.f32 (pow.f32 u2 4) (fma.f32 (.f32 (fma.f32 1/4 (pow.f32 (PI.f32) 3) (fma.f32 3 (fma.f32 1/6 (pow.f32 (PI.f32) 3) (.f32 (.f32 1/4 (pow.f32 (PI.f32) 3)) -1/2)) (.f32 (.f32 1/4 (pow.f32 (PI.f32) 3)) -3/2))) -4/3) (PI.f32) (fma.f32 (pow.f32 (PI.f32) 4) 2/3 0))))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32))))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 4 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
1
(+.f32 1 (.f32 1/2 (.f32 u2 (PI.f32))))
(+.f32 (.f32 1/2 (.f32 u2 (PI.f32))) 1)
(fma.f32 1/2 (*.f32 u2 (PI.f32)) 1)
(+.f32 1 (+.f32 (.f32 1/2 (.f32 (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (pow.f32 u2 2))) (.f32 1/2 (.f32 u2 (PI.f32)))))
(+.f32 1 (.f32 1/2 (+.f32 (.f32 (.f32 u2 u2) (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2))) (.f32 u2 (PI.f32)))))
(fma.f32 1/2 (fma.f32 (.f32 u2 u2) (fma.f32 1/2 (pow.f32 (PI.f32) 2) (neg.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2))) (*.f32 u2 (PI.f32))) 1)
(fma.f32 1/2 (.f32 u2 (+.f32 (.f32 u2 (*.f32 (pow.f32 (PI.f32) 2) 1/4)) (PI.f32))) 1)
(+.f32 1 (+.f32 (.f32 1/2 (.f32 (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2)) (pow.f32 u2 2))) (+.f32 (.f32 1/2 (.f32 u2 (PI.f32))) (.f32 1/2 (.f32 (pow.f32 u2 3) (-.f32 (.f32 1/6 (pow.f32 (PI.f32) 3)) (.f32 1/2 (.f32 (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (*.f32 1/2 (PI.f32)) 2)) (PI.f32)))))))))
(+.f32 1 (fma.f32 1/2 (.f32 (.f32 u2 u2) (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2))) (.f32 1/2 (+.f32 (.f32 u2 (PI.f32)) (.f32 (pow.f32 u2 3) (+.f32 (.f32 1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (.f32 (PI.f32) (-.f32 (.f32 1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (.f32 1/2 (PI.f32)) 2))))))))))
(+.f32 1 (.f32 1/2 (+.f32 (fma.f32 (.f32 u2 u2) (fma.f32 1/2 (pow.f32 (PI.f32) 2) (neg.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2))) (.f32 u2 (PI.f32))) (.f32 (pow.f32 u2 3) (fma.f32 1/6 (pow.f32 (PI.f32) 3) (.f32 (.f32 -1/2 (PI.f32)) (fma.f32 1/2 (pow.f32 (PI.f32) 2) (neg.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2)))))))))
(+.f32 1 (.f32 1/2 (+.f32 (.f32 (pow.f32 u2 3) (fma.f32 1/6 (pow.f32 (PI.f32) 3) (.f32 (.f32 1/4 (pow.f32 (PI.f32) 3)) -1/2))) (.f32 u2 (+.f32 (.f32 u2 (*.f32 (pow.f32 (PI.f32) 2) 1/4)) (PI.f32))))))
(sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(sqrt.f32 (exp.f32 (*.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))

prune330.0ms (6.3%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	95	11	106

Error

0.1b

Counts

106 → 11

Alt Table

Status	Error	Program
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (-.f32 (exp.f32 (log1p.f32 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))) 1)) 3))))
	9.8b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 6) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6)) (+.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 2) (+.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 2) (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) 2)))))
	8.0b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 3)
	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) 2) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) 2)))))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)) 3))))

Compiler

Compiled 4232 to 2704 computations (36.1% saved)

regimes88.0ms (1.7%)

Accuracy

Total -19.0b remaining (-6537.5%)

Threshold costs -19.0b (-6537.5%)

Counts

15 → 1

Calls

Call 1

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

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

Results

8.0ms	0.3b	`cosTheta_i`
9.0ms	0.3b	`u1`
8.0ms	0.3b	`u2`
8.0ms	0.3b	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
5.0ms	0.3b	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
5.0ms	0.3b	`(neg.f32 (log.f32 (-.f32 1 u1)))`
8.0ms	0.3b	`(log.f32 (-.f32 1 u1))`
8.0ms	0.3b	`(-.f32 1 u1)`
8.0ms	0.3b	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
8.0ms	0.3b	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 431 to 258 computations (40.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-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	13	21
1	22	21
2	26	21
3	28	21

Stop Event

1×

saturated

Calls

Call 1

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

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

end17.0ms (0.3%)

Stop Event

1×

fuel

Compiler

Compiled 30 to 26 computations (13.3% 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

analyze168.0ms (3.2%)

sample2.2s (42.2%)

preprocess37.0ms (0.7%)

simplify12.0ms (0.2%)

prune4.0ms (0.1%)

localize35.0ms (0.7%)

series56.0ms (1.1%)

rewrite68.0ms (1.3%)

simplify112.0ms (2.1%)

prune497.0ms (9.5%)

localize47.0ms (0.9%)

series9.0ms (0.2%)

rewrite78.0ms (1.5%)

simplify60.0ms (1.1%)

prune340.0ms (6.5%)

localize87.0ms (1.7%)

series66.0ms (1.3%)

rewrite62.0ms (1.2%)

simplify75.0ms (1.4%)

prune508.0ms (9.7%)

localize56.0ms (1.1%)

series103.0ms (2%)

rewrite57.0ms (1.1%)

simplify57.0ms (1.1%)

prune330.0ms (6.3%)

regimes88.0ms (1.7%)

simplify2.0ms (0%)

end17.0ms (0.3%)

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