Details

analyze229.0ms (1.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
50%	0%	0%	100%	0%	0%	0%	4
50%	0%	0%	100%	0%	0%	0%	5
75%	0%	0%	100%	0%	0%	0%	6
75%	0%	0%	100%	0%	0%	0%	7
75%	0%	0%	100%	0%	0%	0%	8
87.5%	0%	0%	100%	0%	0%	0%	9
87.5%	0%	0%	100%	0%	0%	0%	10
87.5%	0%	0%	100%	0%	0%	0%	11
93.8%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.8s (18.9%)

Results

2.8s	8256×	body	256	valid
1.0ms	2×	body	256	precondition

Bogosity

preprocess39.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

104×	`fma-neg_binary32`
95×	`fma-def_binary32`
60×	`sub-neg_binary32`
45×	`cancel-sign-sub-inv_binary32`
30×	`*-commutative_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	491	84
9	532	84
10	586	84
11	636	84
12	727	84
13	774	84
14	792	84
15	795	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 (PI.f32) (*.f32 2 u1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (cos.f32 (.f32 (PI.f32) (*.f32 u1 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (cos.f32 (.f32 u1 (*.f32 2 (PI.f32)))))

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

40×	`fma-neg_binary32`
22×	`sub-neg_binary32`
17×	`cancel-sign-sub-inv_binary32`
15×	`fma-def_binary32`
11×	`*-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	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	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 2 (*.f32 (PI.f32) u2))))

eval1.0ms (0%)

Compiler: Compiled 28 to 23 computations (17.9% saved)

prune1.0ms (0%)

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

Click to see full 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))))
▶	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize69.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	13.9b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series76.0ms (0.5%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
61.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
5.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`log-prod_binary32`
494×	`prod-diff_binary32`
324×	`pow2_binary32`
238×	`pow-unpow_binary32`
227×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	284	42
2	3435	42

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (neg.f32 u1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 2 (.f32 1/3 (log1p.f32 (neg.f32 u1)))) (.f32 1/3 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))) (.f32 1/2 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) (.f32 2 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log.f32 (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3)))) (log1p.f32 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1)))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (-.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (-.f32 1 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 -1) (log.f32 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))) (.f32 1/2 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (log.f32 (neg.f32 (+.f32 1 (fma.f32 u1 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 (-.f32 1 (.f32 u1 u1)))) (log.f32 (neg.f32 (+.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 1 (pow.f32 (neg.f32 u1) 3))) (log.f32 (+.f32 1 (-.f32 (pow.f32 (neg.f32 u1) 2) (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 (neg.f32 u1) 2))) (log.f32 (-.f32 1 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2)) (.f32 1/3 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (neg.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (neg.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 1/2 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/6) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (neg.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 -1 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 -1 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (.f32 0 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (neg.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 (-.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (-.f32 1 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (neg.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (.f32 (neg.f32 u1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (log1p.f32 (neg.f32 u1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 2 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2)) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 2 (.f32 (PI.f32) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 4 (pow.f32 (.f32 (PI.f32) u2) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 2 (.f32 (PI.f32) u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (.f32 2 (PI.f32)) 3) (pow.f32 u2 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 2 (PI.f32)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 4 (pow.f32 (.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 2 (.f32 (PI.f32) u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 2 (PI.f32)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (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 0 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cos.f32 1)) (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))))

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

795×	`associate-l_binary32`
781×	`fma-def_binary32`
761×	`associate-r_binary32`
288×	`*-commutative_binary32`
277×	`times-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1804
1	455	1600
2	1587	1458
3	7826	1458

Stop Event

1×	node limit

Counts

188 → 193

Calls

Call 1

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

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

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 47 to 19 computations (59.6% saved)

series15.0ms (0.1%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite106.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`prod-diff_binary32`
573×	`log-prod_binary32`
331×	`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	3260	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
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((#(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 expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))))))
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(sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.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 fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))))))

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

962×	`fma-def_binary32`
469×	`distribute-rgt-in_binary32`
391×	`times-frac_binary32`
379×	`*-commutative_binary32`
375×	`associate-/l*_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	2191
1	492	1861
2	1723	1652
3	6177	1587

Stop Event

1×	node limit

Counts

167 → 167

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

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

eval177.0ms (1.2%)

Compiler: Compiled 9032 to 6056 computations (32.9% saved)

prune327.0ms (2.2%)

Pruning

40 alts after pruning (38 fresh and 2 done)

	Pruned	Kept	Total
New	322	38	360
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	322	40	362

Error

0.1b

Counts

362 → 40

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.4b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	8.6b	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	9.0b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	8.9b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
▶	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	9.0b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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))))
	16.2b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	9.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.8b	(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)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
	2.9b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.3b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	4.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
	9.3b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	13.6b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log.f32 (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1))))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
	8.0b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	8.7b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Compiler

Compiled 1469 to 1233 computations (16.1% saved)

localize132.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (PI.f32) (.f32 u2 2))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.5b	(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
✓	29.2b	(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))

Compiler

Compiled 121 to 43 computations (64.5% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	0	(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))
1.0ms	u2	@	-inf	(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))
1.0ms	u2	@	inf	(fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))
0.0ms	u2	@	0	(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
0.0ms	u2	@	-inf	(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`pow1_binary32`
849×	`add-log-exp_binary32`
848×	`log1p-expm1-u_binary32`
848×	`expm1-log1p-u_binary32`
830×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	226	40
2	2680	40

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

Inputs
(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))
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
(.f32 (PI.f32) (.f32 u2 2))

Outputs

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

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

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

761×	`distribute-rgt-out_binary32`
680×	`fma-def_binary32`
452×	`distribute-rgt-in_binary32`
424×	`associate-l_binary32`
411×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	472
1	218	388
2	804	316
3	4273	316
4	7236	310

Stop Event

1×	node limit

Counts

89 → 71

Calls

Call 1

Inputs
(.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (.f32 (+.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/36 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6))))))))
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)) (+.f32 (.f32 (+.f32 (.f32 -1/2520 (pow.f32 (PI.f32) 8)) (+.f32 (.f32 1/360 (pow.f32 (PI.f32) 8)) (+.f32 (.f32 1/2520 (pow.f32 (PI.f32) 8)) (.f32 -1/360 (pow.f32 (PI.f32) 8))))) (pow.f32 u2 8)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/36 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6)))))))))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 (+.f32 (.f32 -1/2520 (pow.f32 (PI.f32) 8)) (.f32 -1/360 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))

Outputs
(.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 u2 (.f32 u2 0))
0
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (.f32 (+.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 u2 (.f32 u2 0))
0
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/36 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6))))))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 u2 (.f32 u2 0))
0
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)) (+.f32 (.f32 (+.f32 (.f32 -1/2520 (pow.f32 (PI.f32) 8)) (+.f32 (.f32 1/360 (pow.f32 (PI.f32) 8)) (+.f32 (.f32 1/2520 (pow.f32 (PI.f32) 8)) (.f32 -1/360 (pow.f32 (PI.f32) 8))))) (pow.f32 u2 8)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/36 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6)))))))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 u2 (.f32 u2 0))
0
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 u2 (.f32 u2 0))
0
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 u2 (.f32 u2 0))
0
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 u2 (.f32 u2 0))
0
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 u2 (.f32 u2 0))
0
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 u2 (.f32 u2 0))
0
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 u2 (.f32 u2 0))
0
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 u2 (.f32 u2 0))
0
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 u2 (.f32 u2 0))
0
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 u2)))
(fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 u2 4) -1/3)))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) -1/3))))
(fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -1/3) (fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2) (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45))))
(fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2) (fma.f32 (pow.f32 (.f32 (PI.f32) u2) 6) 2/45 (.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) -1/3))))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 (+.f32 (.f32 -1/2520 (pow.f32 (PI.f32) 8)) (.f32 -1/360 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (.f32 (pow.f32 (PI.f32) 8) -1/315) (pow.f32 u2 8) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 u2)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (pow.f32 u2 8) (.f32 (pow.f32 (PI.f32) 8) -1/315) (fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 u2 4) -1/3)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -1/3) (fma.f32 (pow.f32 u2 8) (.f32 (pow.f32 (PI.f32) 8) -1/315) (.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 u2)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2) (fma.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) -1/3) (.f32 (pow.f32 (PI.f32) 8) (*.f32 (pow.f32 u2 8) -1/315)))))
(fma.f32 (pow.f32 (.f32 (PI.f32) u2) 6) 2/45 (fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2) (fma.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) -1/3) (.f32 (pow.f32 (PI.f32) 8) (*.f32 (pow.f32 u2 8) -1/315)))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 2 u2))

localize47.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (neg.f32 u1))
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

Compiler

Compiled 26 to 10 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(log1p.f32 (neg.f32 u1))
0.0ms	u1	@	inf	(log1p.f32 (neg.f32 u1))
0.0ms	u1	@	-inf	(log1p.f32 (neg.f32 u1))

rewrite37.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

287×	`associate-r_binary32`
279×	`pow1_binary32`
271×	`add-sqr-sqrt_binary32`
265×	`*-un-lft-identity_binary32`
261×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	80	3
2	966	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(log1p.f32 (neg.f32 u1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))) (#(struct:change #<rule egg-rr> (2) ((x . u1)))))

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

604×	`sub-neg_binary32`
591×	`fma-def_binary32`
365×	`times-frac_binary32`
313×	`distribute-lft-out_binary32`
268×	`distribute-rgt-neg-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	227
1	128	205
2	360	200
3	1221	194
4	4808	194

Stop Event

1×	node limit

Counts

13 → 25

Calls

Call 1

Inputs
(*.f32 -1 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))

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

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 54 to 36 computations (33.3% saved)

series24.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	u2	@	inf	(.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))
1.0ms	u2	@	0	(.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))
1.0ms	u2	@	0	(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
1.0ms	u1	@	0	(.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))
1.0ms	u1	@	-inf	(.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

977×	`pow1_binary32`
892×	`add-log-exp_binary32`
892×	`expm1-log1p-u_binary32`
891×	`log1p-expm1-u_binary32`
107×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	220	41
2	2507	41

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

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

Outputs

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

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

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

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

675×	`fma-def_binary32`
634×	`associate-l_binary32`
555×	`distribute-rgt-out_binary32`
549×	`associate-r_binary32`
539×	`distribute-lft-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1254
1	315	1240
2	1008	1086
3	4794	1021

Stop Event

1×	node limit

Counts

101 → 100

Calls

Call 1

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

Outputs
1
(+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) 1)
(fma.f32 -4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1)
(fma.f32 (.f32 -4 (.f32 u2 u2)) (pow.f32 (PI.f32) 2) 1)
(fma.f32 (.f32 u2 u2) (.f32 -4 (pow.f32 (PI.f32) 2)) 1)
(fma.f32 -4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) 1)
(+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 1 (.f32 (pow.f32 u2 4) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (*.f32 4 (pow.f32 (PI.f32) 4))))))
(+.f32 (fma.f32 -4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1) (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 16/3)))
(fma.f32 -4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 16/3) 1))
(fma.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) 16/3) (fma.f32 (.f32 u2 u2) (*.f32 -4 (pow.f32 (PI.f32) 2)) 1))
(+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 1 (+.f32 (.f32 (+.f32 (.f32 -8/45 (pow.f32 (PI.f32) 6)) (.f32 -8/3 (pow.f32 (PI.f32) 6))) (pow.f32 u2 6)) (.f32 (pow.f32 u2 4) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (.f32 4 (pow.f32 (PI.f32) 4)))))))
(+.f32 (fma.f32 -4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1) (fma.f32 (.f32 (pow.f32 (PI.f32) 6) -128/45) (pow.f32 u2 6) (.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 16/3))))
(+.f32 (fma.f32 (.f32 -4 (.f32 u2 u2)) (pow.f32 (PI.f32) 2) 1) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 16/3) (.f32 (pow.f32 (PI.f32) 6) (*.f32 -128/45 (pow.f32 u2 6)))))
(fma.f32 -4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 16/3) (fma.f32 (pow.f32 (PI.f32) 6) (.f32 (pow.f32 u2 6) -128/45) 1)))
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) 2)
(pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)
(pow.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
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(+.f32 (.f32 (+.f32 (.f32 -8/45 (pow.f32 (PI.f32) 6)) (.f32 -8/3 (pow.f32 (PI.f32) 6))) (.f32 (pow.f32 u2 6) (log.f32 (+.f32 1 u1)))) (+.f32 (.f32 (pow.f32 u2 4) (.f32 (log.f32 (+.f32 1 u1)) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (.f32 4 (pow.f32 (PI.f32) 4))))) (+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (log.f32 (+.f32 1 u1)))))
(fma.f32 (.f32 (pow.f32 (PI.f32) 6) -128/45) (.f32 (pow.f32 u2 6) (log1p.f32 u1)) (fma.f32 (pow.f32 u2 4) (.f32 (.f32 (pow.f32 (PI.f32) 4) 16/3) (log1p.f32 u1)) (fma.f32 -4 (.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2)) (log1p.f32 u1))))
(fma.f32 (.f32 (pow.f32 (PI.f32) 6) -128/45) (.f32 (pow.f32 u2 6) (log1p.f32 u1)) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (.f32 16/3 (log1p.f32 u1))) (fma.f32 -4 (.f32 u2 (.f32 u2 (*.f32 (pow.f32 (PI.f32) 2) (log1p.f32 u1)))) (log1p.f32 u1))))
(+.f32 (.f32 (fma.f32 (.f32 u2 u2) (.f32 -4 (pow.f32 (PI.f32) 2)) 1) (log1p.f32 u1)) (.f32 (log1p.f32 u1) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 16/3) (.f32 (pow.f32 (PI.f32) 6) (*.f32 (pow.f32 u2 6) -128/45)))))
(+.f32 (log1p.f32 u1) (.f32 (log1p.f32 u1) (fma.f32 -4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 16/3) (.f32 (pow.f32 (PI.f32) 6) (.f32 (pow.f32 u2 6) -128/45))))))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2))
(fma.f32 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) -2 1)
(fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -2) 1)
(+.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 (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2)))
(+.f32 1 (fma.f32 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) -2 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3))))
(fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3) (fma.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) -2) 1))
(fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -2) (fma.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 2/3) 1))
(+.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))))))
(+.f32 1 (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 -4/45 (*.f32 (pow.f32 (PI.f32) 6) (pow.f32 u2 6))))))
(+.f32 1 (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) -2 (.f32 (pow.f32 (PI.f32) 6) (*.f32 (pow.f32 u2 6) -4/45)))))
(fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3) (+.f32 1 (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -2) (.f32 (pow.f32 (PI.f32) 6) (*.f32 (pow.f32 u2 6) -4/45)))))
(+.f32 (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -2) (.f32 (pow.f32 (PI.f32) 6) (.f32 (pow.f32 u2 6) -4/45))) (fma.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 2/3) 1))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))

localize74.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cos.f32 (.f32 2 (exp.f32 (log.f32 (.f32 (PI.f32) u2)))))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	0.3b	(*.f32 (PI.f32) u2)
✓	1.5b	(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))

Compiler

Compiled 62 to 21 computations (66.1% saved)

series4.0ms (0%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
0.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
0.0ms	u2	@	0	(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))

rewrite104.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`log-prod_binary32`
591×	`prod-diff_binary32`
304×	`pow2_binary32`
261×	`pow-unpow_binary32`
216×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	289	32
2	3420	32

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

Inputs

(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))

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

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

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

772×	`associate-l_binary32`
742×	`associate-r_binary32`
638×	`fma-def_binary32`
531×	`unswap-sqr_binary32`
277×	`times-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1541
1	368	1359
2	1296	1222
3	6715	1222

Stop Event

1×	node limit

Counts

176 → 167

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

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

localize97.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.5b	(pow.f32 (sqrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)
	13.9b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 73 to 49 computations (32.9% saved)

series17.0ms (0.1%)

Counts

2 → 9

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
3.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
3.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
2.0ms	u2	@	0	(pow.f32 (sqrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`prod-diff_binary32`
671×	`log-prod_binary32`
340×	`pow2_binary32`
238×	`pow1/3_binary32`
236×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	30
1	329	27
2	3680	27

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (*.f32 2 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) u2) 2)) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) u2) 2))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 2 u2) (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (*.f32 u2 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (*.f32 2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) u2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 2 u2) (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (*.f32 (*.f32 2 u2) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (*.f32 2 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (pow.f32 (cbrt.f32 (*.f32 (*.f32 2 u2) (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (*.f32 2 u2) (PI.f32)))) (sqrt.f32 (*.f32 (*.f32 2 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 2 u2) (PI.f32))) 2) (cbrt.f32 (*.f32 (*.f32 2 u2) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 2) (*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (*.f32 2 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (*.f32 2 u2) (PI.f32)) 1/4) (*.f32 (pow.f32 (*.f32 (*.f32 2 u2) (PI.f32)) 1/4) (sqrt.f32 (*.f32 (*.f32 2 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (PI.f32)) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (*.f32 (*.f32 2 u2) (PI.f32)) 1/4) 3) (pow.f32 (*.f32 (*.f32 2 u2) (PI.f32)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 u2) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (cbrt.f32 (*.f32 (*.f32 2 u2) (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 (*.f32 2 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 2)) (sqrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 2 (PI.f32)) 1) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 2 (PI.f32)) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 2 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (*.f32 2 u2) (PI.f32)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (*.f32 2 u2) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (*.f32 2 u2) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (*.f32 2 u2) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 2 u2) (PI.f32))) 1))))))

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

615×	`associate-/l/_binary32`
427×	`distribute-rgt-in_binary32`
421×	`distribute-lft-in_binary32`
355×	`associate-l_binary32`
353×	`fma-def_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	995
1	245	750
2	880	667
3	4394	608

Stop Event

1×	node limit

Counts

67 → 76

Calls

Call 1

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

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

eval401.0ms (2.7%)

Compiler: Compiled 17107 to 10288 computations (39.9% saved)

prune235.0ms (1.6%)

Pruning

58 alts after pruning (52 fresh and 6 done)

	Pruned	Kept	Total
New	645	31	676
Fresh	12	21	33
Picked	0	1	1
Done	1	5	6
Total	658	58	716

Error

0.0b

Counts

716 → 58

Alt Table

Click to see full alt table

Status	Error	Program
	8.9b	(sqrt.f32 (.f32 (log1p.f32 u1) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (*.f32 2 (PI.f32)))))))))
✓	6.4b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	8.6b	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.8b	(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))) 2))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	11.7b	(sqrt.f32 (log1p.f32 u1))
	12.1b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
	9.0b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
	8.9b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	20.6b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	11.2b	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	16.2b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	8.3b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
	9.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	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))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
	11.7b	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	2.9b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.3b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (-.f32 (+.f32 1 (.f32 u2 (.f32 (PI.f32) 2))) 1)) (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))))
	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	4.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))
	1.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.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 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	12.0b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	9.3b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	13.6b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log.f32 (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1))))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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)) (-.f32 (+.f32 1 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 1))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 (neg.f32 (sin.f32 (+.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))))))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
	8.9b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))) 1) 2)))
▶	29.9b	(*.f32 (sqrt.f32 (neg.f32 0)) 1)
	8.0b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 2) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 2)) 1))
	12.1b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) 1)
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 (neg.f32 (sin.f32 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	11.2b	(sqrt.f32 (.f32 (fma.f32 -4 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1) (log1p.f32 u1)))
▶	12.1b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	8.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))) 1)

Compiler

Compiled 2091 to 1716 computations (17.9% saved)

localize114.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f32 (PI.f32) (.f32 u2 2))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.5b	(pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) 2)
✓	29.2b	(fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) 2))

Compiler

Compiled 144 to 46 computations (68.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u2	@	0	(fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) 2))
0.0ms	u2	@	inf	(fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) 2))
0.0ms	u2	@	0	(pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) 2)
0.0ms	u2	@	-inf	(fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) 2))
0.0ms	u2	@	inf	(pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) 2)

rewrite48.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`pow1_binary32`
744×	`add-log-exp_binary32`
744×	`expm1-log1p-u_binary32`
743×	`log1p-expm1-u_binary32`
727×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	228	32
2	2387	32

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs

(fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) 2))

(pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) 2)

Outputs

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

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

764×	`distribute-rgt-out_binary32`
680×	`fma-def_binary32`
452×	`distribute-rgt-in_binary32`
417×	`associate-l_binary32`
411×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	71	376
1	214	292
2	793	220
3	4260	220
4	7224	214

Stop Event

1×	node limit

Counts

64 → 56

Calls

Call 1

Inputs
(.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (.f32 (+.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/36 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6))))))))
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)) (+.f32 (.f32 (+.f32 (.f32 -1/2520 (pow.f32 (PI.f32) 8)) (+.f32 (.f32 1/360 (pow.f32 (PI.f32) 8)) (+.f32 (.f32 1/2520 (pow.f32 (PI.f32) 8)) (.f32 -1/360 (pow.f32 (PI.f32) 8))))) (pow.f32 u2 8)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/36 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6)))))))))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 (+.f32 (.f32 -1/2520 (pow.f32 (PI.f32) 8)) (.f32 -1/360 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)

Outputs
(.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (.f32 u2 u2) 0)
0
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (.f32 (+.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (.f32 u2 u2) 0)
0
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/36 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6))))))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (.f32 u2 u2) 0)
0
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)) (+.f32 (.f32 (+.f32 (.f32 -1/2520 (pow.f32 (PI.f32) 8)) (+.f32 (.f32 1/360 (pow.f32 (PI.f32) 8)) (+.f32 (.f32 1/2520 (pow.f32 (PI.f32) 8)) (.f32 -1/360 (pow.f32 (PI.f32) 8))))) (pow.f32 u2 8)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/36 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6)))))))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (.f32 u2 u2) 0)
0
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (.f32 u2 u2) 0)
0
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (.f32 u2 u2) 0)
0
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (.f32 u2 u2) 0)
0
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (.f32 u2 u2) 0)
0
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (.f32 u2 u2) 0)
0
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (.f32 u2 u2) 0)
0
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (.f32 u2 u2) 0)
0
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (.f32 u2 u2) 0)
0
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 u2)))
(fma.f32 (.f32 (pow.f32 u2 4) -1/3) (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 u2)))
(fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 u2 4) -1/3)))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (.f32 (pow.f32 u2 4) -1/3) (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2))))
(fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -1/3) (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45))))
(fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -1/3) (fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2) (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45))))
(fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2) (fma.f32 (pow.f32 (.f32 (PI.f32) u2) 6) 2/45 (.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) -1/3))))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 (+.f32 (.f32 -1/2520 (pow.f32 (PI.f32) 8)) (.f32 -1/360 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (.f32 (pow.f32 (PI.f32) 8) -1/315) (pow.f32 u2 8) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 u2)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (pow.f32 u2 8) (.f32 (pow.f32 (PI.f32) 8) -1/315) (fma.f32 (.f32 (pow.f32 u2 4) -1/3) (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 u2)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2) (fma.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) -1/3) (.f32 (pow.f32 (PI.f32) 8) (*.f32 (pow.f32 u2 8) -1/315)))))
(fma.f32 (pow.f32 (.f32 (PI.f32) u2) 6) 2/45 (fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2) (fma.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) -1/3) (.f32 (pow.f32 (PI.f32) 8) (*.f32 (pow.f32 u2 8) -1/315)))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)

localize18.0ms (0.1%)

Compiler: Compiled 15 to 15 computations (0% saved)

localize63.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 u1)
✓	0.3b	(pow.f32 (log1p.f32 u1) 3/2)
✓	1.4b	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)

Compiler

Compiled 27 to 19 computations (29.6% saved)

series16.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
4.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
2.0ms	u1	@	0	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
1.0ms	u1	@	-inf	(pow.f32 (log1p.f32 u1) 3/2)
1.0ms	u1	@	inf	(pow.f32 (log1p.f32 u1) 3/2)

rewrite48.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`pow1_binary32`
534×	`add-log-exp_binary32`
534×	`expm1-log1p-u_binary32`
533×	`log1p-expm1-u_binary32`
520×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	154	14
2	1605	14

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (log1p.f32 u1) 3/2)
(log1p.f32 u1)

Outputs

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

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

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

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

624×	`associate-/l*_binary32`
316×	`associate-+l+_binary32`
305×	`distribute-rgt-in_binary32`
295×	`distribute-lft-in_binary32`
238×	`associate-*r/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	2615
1	798	2349
2	2872	2066

Stop Event

1×	node limit

Counts

92 → 126

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (sqrt.f32 u1) (.f32 1/3 (.f32 (-.f32 (.f32 -63/128 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 -1/64 (sqrt.f32 (pow.f32 u1 7))) (.f32 -1/2 (.f32 (pow.f32 (.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))))))) (pow.f32 u1 2))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (*.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))) (.f32 1/3 (/.f32 (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 2)))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 (.f32 (-.f32 (+.f32 (.f32 -9/8 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/4 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 9/16 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))) 1/3) (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))))) (+.f32 (.f32 -1/8 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))) 1/3) (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6))))))))))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 3))))) (.f32 1/3 (/.f32 (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 2))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 1 u1))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 1 u1))) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6))) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u1 2)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 1 u1))) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6))) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u1 2)))) (+.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 -1/3 (/.f32 (-.f32 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (-.f32 (+.f32 (.f32 -1/4 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 9/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 9/16 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) (+.f32 (.f32 -1/8 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (.f32 -1 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/3) (-.f32 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6))))))) (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u1 3)))))))
(sqrt.f32 (pow.f32 u1 3))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (*.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))) (.f32 19/32 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (.f32 -63/128 (sqrt.f32 (pow.f32 u1 9))) (*.f32 19/32 (sqrt.f32 (pow.f32 u1 7))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 (/.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (/.f32 (.f32 (-.f32 (+.f32 (.f32 -9/8 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/4 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 9/16 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (sqrt.f32 -1)) (pow.f32 u1 3)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (/.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))))
(sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2)))))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 -1 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (-.f32 (+.f32 (.f32 -1/4 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 9/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 9/16 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2))))))
u1
(+.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1)
(+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (.f32 1/3 (pow.f32 u1 3)) u1))
(+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(*.f32 -1 (log.f32 (/.f32 1 u1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1))) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))

Outputs
(sqrt.f32 u1)
(+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1))
(fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)))
(fma.f32 1/3 (.f32 u1 (+.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (*.f32 -3/16 (pow.f32 (pow.f32 u1 17) 1/6)))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(fma.f32 1/3 (.f32 u1 (fma.f32 19/32 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(fma.f32 1/3 (.f32 u1 (fma.f32 19/32 (pow.f32 u1 3/2) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (sqrt.f32 u1) (.f32 1/3 (.f32 (-.f32 (.f32 -63/128 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 -1/64 (sqrt.f32 (pow.f32 u1 7))) (.f32 -1/2 (.f32 (pow.f32 (.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))))))) (pow.f32 u1 2))))))
(fma.f32 1/3 (.f32 u1 (+.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 -3/16 (pow.f32 (pow.f32 u1 17) 1/6)))) (+.f32 (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)) (.f32 1/3 (.f32 (.f32 u1 u1) (-.f32 (.f32 (sqrt.f32 (pow.f32 u1 3)) -63/128) (fma.f32 -1/64 (sqrt.f32 (pow.f32 u1 7)) (.f32 -1/2 (.f32 (+.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 -3/16 (pow.f32 (pow.f32 u1 17) 1/6))) (cbrt.f32 (.f32 u1 u1))))))))))
(fma.f32 1/3 (.f32 u1 (fma.f32 19/32 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (fma.f32 1/3 (.f32 (.f32 u1 u1) (-.f32 (.f32 (sqrt.f32 (pow.f32 u1 3)) -63/128) (fma.f32 -1/64 (sqrt.f32 (pow.f32 u1 7)) (.f32 (fma.f32 19/32 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16)) (.f32 -1/2 (cbrt.f32 (*.f32 u1 u1))))))) (sqrt.f32 u1))))
(fma.f32 1/3 (.f32 u1 (fma.f32 19/32 (pow.f32 u1 3/2) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (fma.f32 1/3 (.f32 u1 (.f32 u1 (+.f32 (fma.f32 -63/128 (pow.f32 u1 3/2) (.f32 (pow.f32 u1 7/2) 1/64)) (.f32 (fma.f32 19/32 (pow.f32 u1 3/2) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16)) (.f32 (cbrt.f32 (*.f32 u1 u1)) 1/2))))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (*.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 -1/2 (.f32 (cbrt.f32 (sqrt.f32 -1)) (*.f32 (/.f32 1 u1) (pow.f32 (neg.f32 (log.f32 u1)) 1/6)))))
(fma.f32 -1/2 (.f32 (cbrt.f32 (sqrt.f32 -1)) (/.f32 (pow.f32 (neg.f32 (log.f32 u1)) 1/6) u1)) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))) (.f32 1/3 (/.f32 (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 2)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 -1/2 (.f32 (cbrt.f32 (sqrt.f32 -1)) (.f32 (/.f32 1 u1) (pow.f32 (neg.f32 (log.f32 u1)) 1/6))) (.f32 1/3 (/.f32 (-.f32 (.f32 (+.f32 (/.f32 9/8 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 3/4 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))))) (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (.f32 (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) (pow.f32 (pow.f32 (neg.f32 (log.f32 u1)) 5) 1/6)) 3/4)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (*.f32 u1 u1) (neg.f32 (log.f32 u1))))))))
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(+.f32 (.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3/2) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (/.f32 (fma.f32 -9/8 (+.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (fma.f32 1/4 (+.f32 (+.f32 (/.f32 3 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 -2 (neg.f32 (log.f32 u1)))) (/.f32 -2 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (/.f32 -9/16 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) u1) (+.f32 (/.f32 9/8 (.f32 (log.f32 u1) (log.f32 u1))) (+.f32 (/.f32 3/4 (neg.f32 (log.f32 u1))) (/.f32 -3/4 (.f32 (log.f32 u1) (log.f32 u1))))))) (sqrt.f32 -1))) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 -3/2 (/.f32 (sqrt.f32 -1) u1))))
(sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))
(sqrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3))
(sqrt.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3))
(pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3/2)
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))
(fma.f32 3/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (sqrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)))
(fma.f32 3/2 (/.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) u1) (sqrt.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)))
(fma.f32 3/2 (/.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) u1) (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3/2))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2)))))
(+.f32 (fma.f32 3/2 (.f32 (/.f32 1 u1) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (sqrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3))) (.f32 (sqrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)) (/.f32 (+.f32 (/.f32 9/8 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))) (.f32 u1 u1))))
(fma.f32 3/2 (/.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) u1) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 9/8 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (+.f32 (/.f32 -3/4 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 -3/4 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) (.f32 u1 u1)) 1) (sqrt.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3))))
(fma.f32 3/2 (/.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) u1) (.f32 (+.f32 (/.f32 (+.f32 (.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) 3/8) (/.f32 -3/4 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 u1 u1)) 1) (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3/2)))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 -1 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (-.f32 (+.f32 (.f32 -1/4 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 9/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 9/16 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2))))))
(+.f32 (fma.f32 3/2 (.f32 (/.f32 1 u1) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (sqrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3))) (fma.f32 -1 (.f32 (sqrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)) (/.f32 (-.f32 (fma.f32 -1/4 (+.f32 (/.f32 2 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)) (+.f32 (/.f32 3 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) (/.f32 2 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (.f32 9/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (/.f32 9/16 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3))) (pow.f32 u1 3))) (.f32 (sqrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)) (/.f32 (+.f32 (/.f32 9/8 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))) (.f32 u1 u1)))))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) u1) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 9/8 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (+.f32 (/.f32 -3/4 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 -3/4 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) (.f32 u1 u1)) 1) (sqrt.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)))) (*.f32 (/.f32 (fma.f32 -1/4 (+.f32 (/.f32 2 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) (+.f32 (/.f32 3 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) (fma.f32 9/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 -9/16 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)))) (pow.f32 u1 3)) (neg.f32 (sqrt.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)))))
(fma.f32 3/2 (/.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) u1) (.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3/2) (+.f32 (+.f32 (/.f32 (+.f32 (.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) 3/8) (/.f32 -3/4 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 u1 u1)) 1) (/.f32 (neg.f32 (+.f32 (+.f32 (/.f32 -3/4 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (+.f32 (/.f32 -1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 -1/2 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)))) (+.f32 (/.f32 (+.f32 (/.f32 9/8 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 9/8 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 -9/16 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3))))) (pow.f32 u1 3)))))
u1
(+.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1)
(fma.f32 -1/2 (*.f32 u1 u1) u1)
(+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (.f32 1/3 (pow.f32 u1 3)) u1))
(fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 1/3 (pow.f32 u1 3) u1))
(+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 1/3 (pow.f32 u1 3) u1)))
(*.f32 -1 (log.f32 (/.f32 1 u1)))
(neg.f32 (neg.f32 (log.f32 u1)))
(log.f32 u1)
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))
(fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1))
(+.f32 (/.f32 1 u1) (log.f32 u1))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (/.f32 1 u1) (-.f32 (log.f32 u1) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (/.f32 1 u1) (-.f32 (log.f32 u1) (/.f32 (/.f32 1/2 u1) u1)))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (-.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (+.f32 (/.f32 1 u1) (log.f32 u1)) (-.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (/.f32 1 u1) (+.f32 (log.f32 u1) (-.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 (/.f32 1/2 u1) u1))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))
(-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (+.f32 (/.f32 1 u1) (log.f32 -1)))
(-.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (log.f32 (/.f32 -1 u1)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1))) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (+.f32 (/.f32 1 u1) (log.f32 -1))) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (-.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 u1)))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (+.f32 (/.f32 1 u1) (log.f32 -1))) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (+.f32 (-.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 u1))))
(-.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (-.f32 (log.f32 (/.f32 -1 u1)) (-.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 (/.f32 1/2 u1) u1))))

localize73.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (fma.f32 -4 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1) (log1p.f32 u1))
✓	0.2b	(.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)))
✓	0.3b	(*.f32 u2 (pow.f32 (PI.f32) 2))
✓	1.0b	(pow.f32 (PI.f32) 2)

Compiler

Compiled 63 to 41 computations (34.9% saved)

series6.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(*.f32 u2 (pow.f32 (PI.f32) 2))
1.0ms	u1	@	0	(.f32 (fma.f32 -4 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1) (log1p.f32 u1))
1.0ms	u1	@	inf	(.f32 (fma.f32 -4 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1) (log1p.f32 u1))
1.0ms	u1	@	-inf	(.f32 (fma.f32 -4 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1) (log1p.f32 u1))
1.0ms	u2	@	0	(.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)))

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log-prod_binary32`
424×	`exp-prod_binary32`
400×	`prod-exp_binary32`
354×	`pow-prod-down_binary32`
295×	`pow2_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	255	38
2	2770	38

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

Inputs
(pow.f32 (PI.f32) 2)
(*.f32 u2 (pow.f32 (PI.f32) 2))
(.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)))
(.f32 (fma.f32 -4 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1) (log1p.f32 u1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (PI.f32) 2))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (PI.f32) 2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (PI.f32) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (PI.f32) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (PI.f32) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (PI.f32)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) (pow.f32 (cbrt.f32 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (PI.f32) 3/2) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (PI.f32)) 5) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (PI.f32) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (PI.f32) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 2 (log.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 2 (log.f32 (PI.f32))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (PI.f32) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 2 (log.f32 (cbrt.f32 (PI.f32)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (PI.f32)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (.f32 2 (log.f32 (PI.f32))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 (PI.f32)) 1) (log.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (PI.f32)) (.f32 (log.f32 (PI.f32)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 (PI.f32)) 1) (*.f32 (log.f32 (PI.f32)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (pow.f32 (PI.f32) 2) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (pow.f32 (PI.f32) 2))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (pow.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (pow.f32 (PI.f32) 2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (pow.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 (PI.f32) 2) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (PI.f32) 2) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (.f32 (pow.f32 (PI.f32) 2) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (sqrt.f32 u2)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (sqrt.f32 u2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (pow.f32 (PI.f32) 2) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (sqrt.f32 u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (pow.f32 (PI.f32) 2) u2))) 2)) (cbrt.f32 (log.f32 (.f32 (pow.f32 (PI.f32) 2) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (pow.f32 (PI.f32) 2) u2)))) (sqrt.f32 (log.f32 (.f32 (pow.f32 (PI.f32) 2) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) (sqrt.f32 u2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (pow.f32 (PI.f32) 2) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) (sqrt.f32 u2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (pow.f32 (PI.f32) 2) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (pow.f32 (PI.f32) 2) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (pow.f32 (PI.f32) 2) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (PI.f32) 2) u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (.f32 (PI.f32) (sqrt.f32 u2)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (pow.f32 (PI.f32) 2) u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (sqrt.f32 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (.f32 (pow.f32 (PI.f32) 2) u2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (.f32 2 (log.f32 (PI.f32))) 1) (log.f32 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 2 (log.f32 (PI.f32))) (.f32 (log.f32 u2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (.f32 2 (log.f32 (PI.f32))) 1) (.f32 (log.f32 u2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 u2) 1) (.f32 2 (log.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 u2) (.f32 (.f32 2 (log.f32 (PI.f32))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 u2) 1) (.f32 (.f32 2 (log.f32 (PI.f32))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (.f32 u2 (PI.f32))) (*.f32 (log.f32 (PI.f32)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (.f32 u2 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (.f32 u2 (PI.f32)) 2))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (.f32 u2 (PI.f32)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (.f32 u2 (PI.f32)) 2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (.f32 u2 (PI.f32)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (.f32 u2 (PI.f32)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (.f32 2 (log.f32 (.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 (PI.f32)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 (PI.f32)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 (PI.f32)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) u2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 2 (log.f32 (.f32 u2 (PI.f32))))) 2)) (cbrt.f32 (.f32 2 (log.f32 (.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (.f32 2 (log.f32 (.f32 u2 (PI.f32)))))) (sqrt.f32 (.f32 2 (log.f32 (.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u2 (PI.f32)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (.f32 u2 (PI.f32)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (.f32 u2 (PI.f32)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u2 (PI.f32)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (.f32 u2 (PI.f32)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (.f32 u2 (PI.f32)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 2 (log.f32 (.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 2 (log.f32 (.f32 u2 (PI.f32)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (.f32 u2 (PI.f32)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u2 (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (.f32 2 (log.f32 (.f32 u2 (PI.f32)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (.f32 2 (log.f32 (PI.f32))) 1) (.f32 2 (log.f32 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 u2) 1) (log.f32 (.f32 (pow.f32 (PI.f32) 2) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 u2) (.f32 (log.f32 (.f32 (pow.f32 (PI.f32) 2) u2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 u2) 1) (.f32 (log.f32 (.f32 (pow.f32 (PI.f32) 2) u2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 (.f32 (pow.f32 (PI.f32) 2) u2)) 1) (log.f32 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (.f32 (pow.f32 (PI.f32) 2) u2)) (.f32 (log.f32 u2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 (.f32 (pow.f32 (PI.f32) 2) u2)) 1) (.f32 (log.f32 u2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 2 (log.f32 u2)) (.f32 (*.f32 2 (log.f32 (PI.f32))) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4) (log1p.f32 u1)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log1p.f32 u1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (+.f32 1 u1) (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1))) 2)) (log.f32 (cbrt.f32 (pow.f32 (+.f32 1 u1) (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (+.f32 1 u1) (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1)))) (log.f32 (sqrt.f32 (pow.f32 (+.f32 1 u1) (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1)))) 2)) (cbrt.f32 (log.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1))))) (sqrt.f32 (log.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (+.f32 1 u1) (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1) (log1p.f32 u1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log1p.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4)) 1) (log.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log1p.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4)) (.f32 (log.f32 (log1p.f32 u1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log1p.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4)) 1) (.f32 (log.f32 (log1p.f32 u1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 (log1p.f32 u1)) 1) (log1p.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (log1p.f32 u1)) (.f32 (log1p.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (.f32 (log.f32 (log1p.f32 u1)) 1) (.f32 (log1p.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (log1p.f32 u1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4) (log1p.f32 u1) (log1p.f32 u1))))))

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

801×	`times-frac_binary32`
385×	`fma-def_binary32`
352×	`associate-/l*_binary32`
319×	`associate-/r*_binary32`
309×	`associate-+l+_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	1107
1	202	1053
2	704	940
3	3468	825

Stop Event

1×	node limit

Counts

161 → 153

Calls

Call 1

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

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

localize69.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
✓	0.2b	(log1p.f32 (*.f32 (PI.f32) u2))
	0.3b	(*.f32 (PI.f32) u2)
✓	13.2b	(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)

Compiler

Compiled 76 to 30 computations (60.5% saved)

series49.0ms (0.3%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
12.0ms	u2	@	-inf	(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
10.0ms	u2	@	inf	(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
3.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))

rewrite116.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`prod-diff_binary32`
658×	`log-prod_binary32`
242×	`log1p-udef_binary32`
241×	`expm1-udef_binary32`
221×	`fma-def_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	345	29
2	3996	29

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

Inputs

(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)

(log1p.f32 (*.f32 (PI.f32) u2))

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

Outputs

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

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

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

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

677×	`associate-*l/_binary32`
662×	`associate-*r/_binary32`
311×	`distribute-rgt-in_binary32`
309×	`distribute-lft-in_binary32`
244×	`fma-def_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	3012
1	826	2443
2	3479	1996

Stop Event

1×	node limit

Counts

141 → 171

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

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) (*.f32 u2 (PI.f32)))
(fma.f32 u2 (PI.f32) (.f32 (.f32 u2 u2) 0))
(fma.f32 u2 (PI.f32) 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 (fma.f32 u2 (PI.f32) -1) (*.f32 1 (/.f32 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 (fma.f32 u2 (PI.f32) -1) (*.f32 1 (/.f32 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 (fma.f32 u2 (PI.f32) -1) (*.f32 1 (/.f32 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))
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(fma.f32 -2 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (/.f32 (sqrt.f32 -1) u2) (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2))))) (sin.f32 (.f32 2 (expm1.f32 (+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2)))))))) (PI.f32)))) (fma.f32 -2 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (/.f32 (sqrt.f32 -1) (.f32 u2 u2)) (/.f32 (.f32 (cos.f32 (.f32 2 (expm1.f32 (+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2))))))) (pow.f32 (exp.f32 (+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2))))) 2)) (pow.f32 (PI.f32) 2)))) (fma.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (expm1.f32 (+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2)))))))) (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 4/3 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u2 3)) (/.f32 (.f32 (sin.f32 (.f32 2 (expm1.f32 (+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2))))))) (pow.f32 (exp.f32 (+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2))))) 3)) (pow.f32 (PI.f32) 3))))))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (/.f32 (.f32 4/3 (sqrt.f32 -1)) (.f32 (/.f32 (pow.f32 u2 3) (sin.f32 (.f32 2 (fma.f32 (neg.f32 (PI.f32)) (pow.f32 (/.f32 -1 u2) -1) -1)))) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (.f32 (neg.f32 (PI.f32)) (pow.f32 (/.f32 -1 u2) -1)) 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (fma.f32 (neg.f32 (PI.f32)) (pow.f32 (/.f32 -1 u2) -1) -1)))))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 -2 (.f32 (/.f32 (sqrt.f32 -1) u2) (/.f32 (sin.f32 (.f32 2 (fma.f32 (neg.f32 (PI.f32)) (pow.f32 (/.f32 -1 u2) -1) -1))) (/.f32 (PI.f32) (.f32 (neg.f32 (PI.f32)) (pow.f32 (/.f32 -1 u2) -1)))))) (.f32 -2 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u2 u2)) (/.f32 (cos.f32 (.f32 2 (fma.f32 (neg.f32 (PI.f32)) (pow.f32 (/.f32 -1 u2) -1) -1))) (/.f32 (pow.f32 (PI.f32) 2) (pow.f32 (*.f32 (neg.f32 (PI.f32)) (pow.f32 (/.f32 -1 u2) -1)) 2))))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (+.f32 -2 (.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) 2)))) (.f32 (/.f32 (.f32 4/3 (sqrt.f32 -1)) (/.f32 (pow.f32 (.f32 u2 (PI.f32)) 3) (pow.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) 3))) (sin.f32 (+.f32 -2 (.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) 2))))) (.f32 -2 (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u2) (.f32 (/.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) (PI.f32)) (sin.f32 (+.f32 -2 (.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) 2))))) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 (.f32 u2 (PI.f32)) 2)) (.f32 (cos.f32 (+.f32 -2 (*.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) 2))) (pow.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) 2)))))))

eval358.0ms (2.4%)

Compiler: Compiled 17496 to 11196 computations (36% saved)

prune156.0ms (1.1%)

Pruning

61 alts after pruning (53 fresh and 8 done)

	Pruned	Kept	Total
New	580	13	593
Fresh	7	40	47
Picked	1	0	1
Done	2	8	10
Total	590	61	651

Error

0.0b

Counts

651 → 61

Alt Table

Click to see full alt table

Status	Error	Program
	8.9b	(sqrt.f32 (.f32 (log1p.f32 u1) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (*.f32 2 (PI.f32)))))))))
✓	6.4b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	11.6b	(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
	8.6b	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.8b	(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))) 2))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) 2))))
	12.1b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
	9.0b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
	8.9b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
▶	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	20.6b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 u2 (PI.f32) -1) (*.f32 1 (/.f32 u2 u2))))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	16.2b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	8.3b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
▶	9.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	20.6b	(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3) 1)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
	2.9b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.3b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (-.f32 (+.f32 1 (.f32 u2 (.f32 (PI.f32) 2))) 1)) (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))))
	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	10.6b	(sqrt.f32 (fma.f32 u1 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (*.f32 u2 -4))) u1))
	4.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	14.5b	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
	13.4b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))
	1.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
	12.0b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	9.3b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	13.6b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log.f32 (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1))))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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)) (-.f32 (+.f32 1 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 1))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 (neg.f32 (sin.f32 (+.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))))))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
	11.7b	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	8.9b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))) 1) 2)))
✓	29.9b	(*.f32 (sqrt.f32 (neg.f32 0)) 1)
	8.0b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) (fma.f32 -1 (/.f32 1 (*.f32 u2 (/.f32 -1 u2))) -1)))))
	12.1b	(.f32 (pow.f32 (pow.f32 (fma.f32 -1/2 (.f32 u1 u1) u1) 3/2) 1/3) 1)
	11.3b	(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 2) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 2)) 1))
	11.7b	(sqrt.f32 (log1p.f32 u1))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 (neg.f32 (sin.f32 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	11.2b	(*.f32 (sqrt.f32 u1) 1)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
✓	12.1b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	8.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))) 1)

Compiler

Compiled 2181 to 1786 computations (18.1% saved)

localize346.0ms (2.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
✓	0.6b	(pow.f32 (exp.f32 u2) (PI.f32))
✓	14.0b	(log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))
✓	29.2b	(fma.f32 (neg.f32 (sin.f32 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))

Compiler

Compiled 205 to 49 computations (76.1% saved)

series92.0ms (0.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
49.0ms	u2	@	inf	(fma.f32 (neg.f32 (sin.f32 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))
32.0ms	u2	@	-inf	(fma.f32 (neg.f32 (sin.f32 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))
9.0ms	u2	@	0	(fma.f32 (neg.f32 (sin.f32 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))
1.0ms	u2	@	0	(log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))
0.0ms	u2	@	0	(pow.f32 (exp.f32 u2) (PI.f32))

rewrite499.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary32`
350×	`pow-pow_binary32`
315×	`pow-prod-down_binary32`
310×	`pow-unpow_binary32`
288×	`pow2_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	318	33
2	3484	29

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

Inputs

(fma.f32 (neg.f32 (sin.f32 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))

(log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))

(pow.f32 (exp.f32 u2) (PI.f32))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2) (pow.f32 (sin.f32 (/.f32 0 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2) (pow.f32 (sin.f32 (/.f32 0 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (/.f32 0 0)) (log.f32 (pow.f32 (exp.f32 (sin.f32 (/.f32 0 0))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2))) (cbrt.f32 (pow.f32 (hypot.f32 (sin.f32 (/.f32 0 0)) (sin.f32 (/.f32 0 0))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (hypot.f32 (sin.f32 (/.f32 0 0)) (sin.f32 (/.f32 0 0))) 4)) (cbrt.f32 (log.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (hypot.f32 (sin.f32 (/.f32 0 0)) (sin.f32 (/.f32 0 0))) (hypot.f32 (sin.f32 (/.f32 0 0)) (sin.f32 (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 6) (pow.f32 (sin.f32 (/.f32 0 0)) 6)) (+.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 4) (-.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 4) (pow.f32 (sin.f32 (/.f32 0 0)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 4) (pow.f32 (sin.f32 (/.f32 0 0)) 4)) (log.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (hypot.f32 (sin.f32 (/.f32 0 0)) (sin.f32 (/.f32 0 0))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (hypot.f32 (sin.f32 (/.f32 0 0)) (sin.f32 (/.f32 0 0))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (hypot.f32 (sin.f32 (/.f32 0 0)) (sin.f32 (/.f32 0 0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (hypot.f32 (sin.f32 (/.f32 0 0)) (sin.f32 (/.f32 0 0))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (-.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (/.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (/.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2))) (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (/.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (/.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2))) (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2))) (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2))) (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (hypot.f32 (sin.f32 (/.f32 0 0)) (sin.f32 (/.f32 0 0))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (/.f32 0 0)) 2)) 2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (/.f32 0 0)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 1/2 (/.f32 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/3 (/.f32 0 0)) (*.f32 1/3 (*.f32 1/2 (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/4 (/.f32 0 0)) (*.f32 1/4 (/.f32 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/3 (*.f32 1/2 (/.f32 0 0))) (*.f32 1/3 (/.f32 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (pow.f32 1 (PI.f32)) 1/2)) (*.f32 1/2 (/.f32 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (pow.f32 (cbrt.f32 (exp.f32 u2)) 2) (*.f32 (PI.f32) 1/2))) (log.f32 (pow.f32 (cbrt.f32 (exp.f32 u2)) (*.f32 (PI.f32) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (sqrt.f32 (exp.f32 u2)) (*.f32 (PI.f32) 1/2))) (log.f32 (pow.f32 (sqrt.f32 (exp.f32 u2)) (*.f32 (PI.f32) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 1 1/2)) (*.f32 1/2 (/.f32 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 1/2 (/.f32 0 0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (/.f32 0 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/4 (/.f32 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 1/2 (/.f32 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 1/2 (/.f32 0 0))) (cbrt.f32 (pow.f32 (*.f32 1/2 (/.f32 0 0)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (*.f32 1/2 (/.f32 0 0)) 2)) (cbrt.f32 (*.f32 1/2 (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 1/2 (/.f32 0 0))) (sqrt.f32 (*.f32 1/2 (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 1/2) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 3 (*.f32 1/3 (*.f32 1/2 (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/3 (*.f32 3/2 (/.f32 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (PI.f32) 1/2) 1) u2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 1/2 (/.f32 0 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 1/2 (/.f32 0 0)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 0 0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 1/2 (/.f32 0 0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 1/2 (/.f32 0 0)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 1/2 (/.f32 0 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 1/2 (/.f32 0 0)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 1/2 (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 1/2 (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 1/2 (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 1/2 (/.f32 0 0))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (exp.f32 (/.f32 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (exp.f32 (/.f32 0 0)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (/.f32 0 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (/.f32 0 0))))) (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (/.f32 0 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 0 0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (exp.f32 (/.f32 0 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (exp.f32 (/.f32 0 0))) (sqrt.f32 (exp.f32 (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (exp.f32 (/.f32 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (exp.f32 (/.f32 0 0))) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 0 0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 0 0))) 2) (cbrt.f32 (exp.f32 (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 (/.f32 0 0)) 1/4) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 0 0)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 (PI.f32)) (exp.f32 (/.f32 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (exp.f32 u2)) (*.f32 2 (PI.f32))) (pow.f32 (cbrt.f32 (exp.f32 u2)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (exp.f32 u2)) (PI.f32)) (pow.f32 (sqrt.f32 (exp.f32 u2)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 0 0)) 3/2)) (pow.f32 (exp.f32 (/.f32 0 0)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (exp.f32 (/.f32 0 0))) (cbrt.f32 (exp.f32 (/.f32 0 0)))) (pow.f32 (exp.f32 (/.f32 0 0)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 (/.f32 0 0)) (*.f32 1/2 (/.f32 0 0))) (pow.f32 (exp.f32 (/.f32 0 0)) (*.f32 1/2 (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 (/.f32 0 0)) (*.f32 2 (*.f32 1/3 (/.f32 0 0)))) (pow.f32 (exp.f32 (/.f32 0 0)) (*.f32 1/3 (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 (/.f32 0 0)) (*.f32 (*.f32 1/2 (/.f32 0 0)) (/.f32 0 0))) (pow.f32 (exp.f32 (/.f32 0 0)) (*.f32 (*.f32 1/2 (/.f32 0 0)) (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 (/.f32 0 0)) (*.f32 (/.f32 0 0) (*.f32 1/2 (/.f32 0 0)))) (pow.f32 (exp.f32 (/.f32 0 0)) (*.f32 (/.f32 0 0) (*.f32 1/2 (/.f32 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 2) (*.f32 1/3 (/.f32 0 0))) (pow.f32 (exp.f32 2) (*.f32 1/3 (*.f32 1/2 (/.f32 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 2) (*.f32 1/4 (/.f32 0 0))) (pow.f32 (exp.f32 2) (*.f32 1/4 (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 1/2 u2)) (pow.f32 (exp.f32 (PI.f32)) (*.f32 1/2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 (*.f32 1/3 u2))) (pow.f32 (exp.f32 (PI.f32)) (*.f32 1/3 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (*.f32 2 (*.f32 1/3 (/.f32 0 0)))) (pow.f32 (exp.f32 1) (*.f32 1/3 (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (*.f32 (*.f32 1/2 (/.f32 0 0)) (/.f32 0 0))) (pow.f32 (exp.f32 1) (*.f32 (*.f32 1/2 (/.f32 0 0)) (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (*.f32 (/.f32 0 0) (*.f32 1/2 (/.f32 0 0)))) (pow.f32 (exp.f32 1) (*.f32 (/.f32 0 0) (*.f32 1/2 (/.f32 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (exp.f32 u2) (exp.f32 (log1p.f32 (PI.f32)))) (exp.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (exp.f32 (/.f32 0 0)) (exp.f32 (log1p.f32 (/.f32 0 0)))) (exp.f32 (/.f32 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (exp.f32 (/.f32 0 0)) (/.f32 (pow.f32 (*.f32 1/2 (/.f32 0 0)) 2) 0)) (pow.f32 (exp.f32 (/.f32 0 0)) (/.f32 (pow.f32 (*.f32 1/2 (/.f32 0 0)) 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (exp.f32 2) (exp.f32 (log1p.f32 (*.f32 1/2 (/.f32 0 0))))) (exp.f32 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (exp.f32 (PI.f32)) (exp.f32 (log1p.f32 u2))) (exp.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (exp.f32 1) (exp.f32 (log1p.f32 (/.f32 0 0)))) (pow.f32 (exp.f32 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (exp.f32 1) (/.f32 (pow.f32 (*.f32 1/2 (/.f32 0 0)) 2) 0)) (pow.f32 (exp.f32 1) (/.f32 (pow.f32 (*.f32 1/2 (/.f32 0 0)) 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (exp.f32 (/.f32 0 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (exp.f32 (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (exp.f32 (/.f32 0 0)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (exp.f32 (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (exp.f32 (/.f32 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (/.f32 0 0))))))

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-neg_binary32`
533×	`distribute-rgt-in_binary32`
521×	`distribute-lft-in_binary32`
428×	`unswap-sqr_binary32`
379×	`associate-+l+_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1530
1	400	1207
2	1683	971
3	6423	936

Stop Event

1×	node limit

Counts

142 → 133

Calls

Call 1

Inputs
(.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))
(+.f32 (.f32 (pow.f32 u2 3) (.f32 (-.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2) (+.f32 (.f32 -1/4 (pow.f32 (PI.f32) 2)) (.f32 1/2 (pow.f32 (PI.f32) 2)))) (PI.f32))) (.f32 (+.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(+.f32 (.f32 (pow.f32 u2 3) (.f32 (-.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2) (+.f32 (.f32 -1/4 (pow.f32 (PI.f32) 2)) (.f32 1/2 (pow.f32 (PI.f32) 2)))) (PI.f32))) (+.f32 (.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)) (.f32 (pow.f32 u2 4) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/3 (+.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 -1/6 (pow.f32 (PI.f32) 3))) (PI.f32))) (+.f32 (.f32 1/6 (pow.f32 (PI.f32) 4)) (*.f32 -1/3 (pow.f32 (PI.f32) 4)))))))
(+.f32 (.f32 (pow.f32 u2 5) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/2 (.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)) (pow.f32 (PI.f32) 2))) (.f32 1/12 (+.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)))))))) (PI.f32))) (.f32 -1/6 (.f32 (-.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2) (+.f32 (.f32 -1/4 (pow.f32 (PI.f32) 2)) (.f32 1/2 (pow.f32 (PI.f32) 2)))) (pow.f32 (PI.f32) 3))))) (+.f32 (.f32 (pow.f32 u2 3) (.f32 (-.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2) (+.f32 (.f32 -1/4 (pow.f32 (PI.f32) 2)) (.f32 1/2 (pow.f32 (PI.f32) 2)))) (PI.f32))) (+.f32 (.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)) (.f32 (pow.f32 u2 4) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/3 (+.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 -1/6 (pow.f32 (PI.f32) 3))) (PI.f32))) (+.f32 (.f32 1/6 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4))))))))
(+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 -1 (.f32 (sin.f32 (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (.f32 u2 (PI.f32))))))) (sin.f32 (.f32 u2 (PI.f32))))))
(+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 -1 (.f32 (sin.f32 (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (.f32 u2 (PI.f32))))))) (sin.f32 (.f32 u2 (PI.f32))))))
(+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 -1 (.f32 (sin.f32 (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (.f32 u2 (PI.f32))))))) (sin.f32 (.f32 u2 (PI.f32))))))
(+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 -1 (.f32 (sin.f32 (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (.f32 u2 (PI.f32))))))) (sin.f32 (.f32 u2 (PI.f32))))))
(+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 -1 (.f32 (sin.f32 (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (.f32 u2 (PI.f32))))))) (sin.f32 (.f32 u2 (PI.f32))))))
(+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 -1 (.f32 (sin.f32 (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (.f32 u2 (PI.f32))))))) (sin.f32 (.f32 u2 (PI.f32))))))
(+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 -1 (.f32 (sin.f32 (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (.f32 u2 (PI.f32))))))) (sin.f32 (.f32 u2 (PI.f32))))))
(+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 -1 (.f32 (sin.f32 (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (.f32 u2 (PI.f32))))))) (sin.f32 (.f32 u2 (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 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)))

Outputs
(.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 u2 (.f32 u2 0))
0
(+.f32 (.f32 (pow.f32 u2 3) (.f32 (-.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2) (+.f32 (.f32 -1/4 (pow.f32 (PI.f32) 2)) (.f32 1/2 (pow.f32 (PI.f32) 2)))) (PI.f32))) (.f32 (+.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 u2 (.f32 u2 0))
0
(+.f32 (.f32 (pow.f32 u2 3) (.f32 (-.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2) (+.f32 (.f32 -1/4 (pow.f32 (PI.f32) 2)) (.f32 1/2 (pow.f32 (PI.f32) 2)))) (PI.f32))) (+.f32 (.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)) (.f32 (pow.f32 u2 4) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/3 (+.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 -1/6 (pow.f32 (PI.f32) 3))) (PI.f32))) (+.f32 (.f32 1/6 (pow.f32 (PI.f32) 4)) (*.f32 -1/3 (pow.f32 (PI.f32) 4)))))))
(fma.f32 (pow.f32 u2 3) (.f32 (PI.f32) (-.f32 (pow.f32 (.f32 (PI.f32) 1/2) 2) (.f32 (pow.f32 (PI.f32) 2) 1/4))) (fma.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (.f32 u2 u2) (.f32 (pow.f32 u2 4) (fma.f32 -1 (.f32 (PI.f32) (fma.f32 1/3 (fma.f32 1/4 (pow.f32 (PI.f32) 3) (fma.f32 3 (+.f32 (.f32 (pow.f32 (PI.f32) 3) 1/6) (.f32 -1/2 (.f32 (PI.f32) (-.f32 (.f32 (pow.f32 (PI.f32) 2) 1/2) (pow.f32 (.f32 (PI.f32) 1/2) 2))))) (.f32 (.f32 (PI.f32) (-.f32 (.f32 (pow.f32 (PI.f32) 2) 1/2) (pow.f32 (.f32 (PI.f32) 1/2) 2))) -3/2))) (.f32 (pow.f32 (PI.f32) 3) -1/6))) (.f32 (pow.f32 (PI.f32) 4) -1/6)))))
(fma.f32 (pow.f32 u2 3) (.f32 (PI.f32) (fma.f32 (pow.f32 (PI.f32) 2) -1/4 (.f32 (pow.f32 (PI.f32) 2) 1/4))) (fma.f32 (pow.f32 u2 4) (-.f32 (.f32 -1/6 (pow.f32 (PI.f32) 4)) (.f32 (PI.f32) (fma.f32 1/3 (fma.f32 1/4 (pow.f32 (PI.f32) 3) (fma.f32 3 (fma.f32 (pow.f32 (PI.f32) 3) 1/6 (.f32 (.f32 1/4 (pow.f32 (PI.f32) 3)) -1/2)) (.f32 (.f32 1/4 (pow.f32 (PI.f32) 3)) -3/2))) (.f32 (pow.f32 (PI.f32) 3) -1/6)))) (.f32 u2 (*.f32 u2 0))))
(.f32 (pow.f32 u2 4) (-.f32 (.f32 -1/6 (pow.f32 (PI.f32) 4)) (.f32 (PI.f32) (fma.f32 1/3 (+.f32 (.f32 3 (-.f32 (.f32 (pow.f32 (PI.f32) 3) 1/6) (pow.f32 (.f32 (PI.f32) 1/2) 3))) (neg.f32 (pow.f32 (.f32 (PI.f32) 1/2) 3))) (.f32 (pow.f32 (PI.f32) 3) -1/6)))))
(.f32 (pow.f32 u2 4) (-.f32 (.f32 -1/6 (pow.f32 (PI.f32) 4)) (.f32 (PI.f32) (fma.f32 1/3 (+.f32 (.f32 3 (fma.f32 (pow.f32 (PI.f32) 3) 1/6 (pow.f32 (.f32 (PI.f32) -1/2) 3))) (pow.f32 (.f32 (PI.f32) -1/2) 3)) (*.f32 (pow.f32 (PI.f32) 3) -1/6)))))
(+.f32 (.f32 (pow.f32 u2 5) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/2 (.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)) (pow.f32 (PI.f32) 2))) (.f32 1/12 (+.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)))))))) (PI.f32))) (.f32 -1/6 (.f32 (-.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2) (+.f32 (.f32 -1/4 (pow.f32 (PI.f32) 2)) (.f32 1/2 (pow.f32 (PI.f32) 2)))) (pow.f32 (PI.f32) 3))))) (+.f32 (.f32 (pow.f32 u2 3) (.f32 (-.f32 (pow.f32 (.f32 1/2 (PI.f32)) 2) (+.f32 (.f32 -1/4 (pow.f32 (PI.f32) 2)) (.f32 1/2 (pow.f32 (PI.f32) 2)))) (PI.f32))) (+.f32 (.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)) (.f32 (pow.f32 u2 4) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/3 (+.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 -1/6 (pow.f32 (PI.f32) 3))) (PI.f32))) (+.f32 (.f32 1/6 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4))))))))
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(+.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 (PI.f32) 1/2) 2))) (fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 -3 (pow.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 2) 1/2) (pow.f32 (.f32 (PI.f32) 1/2) 2)) 2) (fma.f32 -6 (.f32 (PI.f32) (+.f32 (.f32 (pow.f32 (PI.f32) 3) 1/6) (.f32 -1/2 (.f32 (PI.f32) (-.f32 (.f32 (pow.f32 (PI.f32) 2) 1/2) (pow.f32 (.f32 (PI.f32) 1/2) 2)))))) (fma.f32 3 (.f32 (pow.f32 (PI.f32) 2) (-.f32 (.f32 (pow.f32 (PI.f32) 2) 1/2) (pow.f32 (.f32 (PI.f32) 1/2) 2))) (fma.f32 12 (-.f32 (.f32 (pow.f32 (PI.f32) 4) 1/24) (fma.f32 1/2 (.f32 (PI.f32) (+.f32 (.f32 (pow.f32 (PI.f32) 3) 1/6) (.f32 -1/2 (.f32 (PI.f32) (-.f32 (.f32 (pow.f32 (PI.f32) 2) 1/2) (pow.f32 (.f32 (PI.f32) 1/2) 2)))))) (pow.f32 (.f32 1/2 (-.f32 (.f32 (pow.f32 (PI.f32) 2) 1/2) (pow.f32 (.f32 (PI.f32) 1/2) 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 (pow.f32 (PI.f32) 3) 1/6) (.f32 -1/2 (.f32 (PI.f32) (-.f32 (.f32 (pow.f32 (PI.f32) 2) 1/2) (pow.f32 (.f32 (PI.f32) 1/2) 2))))) (.f32 (.f32 (PI.f32) (-.f32 (.f32 (pow.f32 (PI.f32) 2) 1/2) (pow.f32 (.f32 (PI.f32) 1/2) 2))) -3/2)))) (.f32 1/2 (*.f32 (PI.f32) u2)))))
(+.f32 (fma.f32 (.f32 (pow.f32 u2 4) 1/24) (fma.f32 -3 (pow.f32 (.f32 (pow.f32 (PI.f32) 2) 1/4) 2) (fma.f32 -6 (.f32 (PI.f32) (fma.f32 (pow.f32 (PI.f32) 3) 1/6 (.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 (.f32 (pow.f32 (PI.f32) 4) 1/24) (fma.f32 1/2 (.f32 (PI.f32) (fma.f32 (pow.f32 (PI.f32) 3) 1/6 (.f32 (.f32 1/4 (pow.f32 (PI.f32) 3)) -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 (fma.f32 1/4 (pow.f32 (PI.f32) 3) (fma.f32 3 (fma.f32 (pow.f32 (PI.f32) 3) 1/6 (.f32 (.f32 1/4 (pow.f32 (PI.f32) 3)) -1/2)) (.f32 (.f32 1/4 (pow.f32 (PI.f32) 3)) -3/2))) 1/6))) (.f32 1/2 (fma.f32 (.f32 u2 u2) (fma.f32 (pow.f32 (PI.f32) 2) -1/4 (.f32 (pow.f32 (PI.f32) 2) 1/4)) (.f32 (PI.f32) u2))))
(+.f32 (fma.f32 1/2 (.f32 (PI.f32) u2) 0) (fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 -3 (.f32 (pow.f32 (PI.f32) 4) 1/16) (fma.f32 -6 (.f32 (PI.f32) (-.f32 (.f32 (pow.f32 (PI.f32) 3) 1/6) (pow.f32 (.f32 (PI.f32) 1/2) 3))) (fma.f32 3 (.f32 (PI.f32) (.f32 1/4 (pow.f32 (PI.f32) 3))) (fma.f32 12 (+.f32 (fma.f32 (pow.f32 (PI.f32) 4) 1/24 (.f32 -1/4 (.f32 (pow.f32 (PI.f32) 4) 1/16))) (.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 3) 1/6) (pow.f32 (.f32 (PI.f32) 1/2) 3)) (.f32 (PI.f32) -1/2))) (.f32 (pow.f32 (PI.f32) 4) -3/8)))))) (.f32 (+.f32 (.f32 3 (-.f32 (.f32 (pow.f32 (PI.f32) 3) 1/6) (pow.f32 (.f32 (PI.f32) 1/2) 3))) (neg.f32 (pow.f32 (.f32 (PI.f32) 1/2) 3))) (*.f32 (pow.f32 u2 3) 1/6))))
(fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 -3 (.f32 (pow.f32 (PI.f32) 4) 1/16) (fma.f32 -6 (.f32 (PI.f32) (fma.f32 (pow.f32 (PI.f32) 3) 1/6 (pow.f32 (.f32 (PI.f32) -1/2) 3))) (fma.f32 3 (.f32 (PI.f32) (.f32 1/4 (pow.f32 (PI.f32) 3))) (fma.f32 12 (fma.f32 (pow.f32 (PI.f32) 4) 1/24 (fma.f32 -1/4 (.f32 (pow.f32 (PI.f32) 4) 1/16) (.f32 (fma.f32 (pow.f32 (PI.f32) 3) 1/6 (pow.f32 (.f32 (PI.f32) -1/2) 3)) (.f32 (PI.f32) -1/2)))) (.f32 (pow.f32 (PI.f32) 4) -3/8)))))) (fma.f32 (.f32 (pow.f32 u2 3) 1/6) (+.f32 (.f32 3 (fma.f32 (pow.f32 (PI.f32) 3) 1/6 (pow.f32 (.f32 (PI.f32) -1/2) 3))) (pow.f32 (.f32 (PI.f32) -1/2) 3)) (.f32 1/2 (*.f32 (PI.f32) u2))))
(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 (pow.f32 (exp.f32 (PI.f32)) u2)))
(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 (pow.f32 (exp.f32 (PI.f32)) u2)))
(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 (pow.f32 (exp.f32 (PI.f32)) u2)))
(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 (pow.f32 (exp.f32 (PI.f32)) u2)))
(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 (pow.f32 (exp.f32 (PI.f32)) u2)))
(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 (pow.f32 (exp.f32 (PI.f32)) u2)))
(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 (pow.f32 (exp.f32 (PI.f32)) u2)))
(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 (pow.f32 (exp.f32 (PI.f32)) u2)))
1
(+.f32 1 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 (PI.f32) u2) 1)
(fma.f32 (PI.f32) u2 1)
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 1 (*.f32 u2 (PI.f32))))
(fma.f32 1/2 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2)) (+.f32 (*.f32 (PI.f32) u2) 1))
(fma.f32 1/2 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2)) (fma.f32 (PI.f32) u2 1))
(fma.f32 (.f32 u2 (.f32 u2 1/2)) (pow.f32 (PI.f32) 2) (fma.f32 (PI.f32) u2 1))
(+.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))))))
(fma.f32 1/2 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2)) (+.f32 1 (fma.f32 u2 (PI.f32) (.f32 (.f32 1/6 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3)))))
(+.f32 (fma.f32 1/2 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2)) (fma.f32 (PI.f32) u2 1)) (.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 u2 3) 1/6)))
(+.f32 (fma.f32 (PI.f32) u2 1) (.f32 (pow.f32 (PI.f32) 2) (+.f32 (.f32 (PI.f32) (.f32 (pow.f32 u2 3) 1/6)) (.f32 u2 (*.f32 u2 1/2)))))
(exp.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (exp.f32 u2) (PI.f32))
(pow.f32 (exp.f32 (PI.f32)) u2)
(exp.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (exp.f32 u2) (PI.f32))
(pow.f32 (exp.f32 (PI.f32)) u2)
(exp.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (exp.f32 u2) (PI.f32))
(pow.f32 (exp.f32 (PI.f32)) u2)
(exp.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (exp.f32 u2) (PI.f32))
(pow.f32 (exp.f32 (PI.f32)) u2)
(exp.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (exp.f32 u2) (PI.f32))
(pow.f32 (exp.f32 (PI.f32)) u2)
(exp.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (exp.f32 u2) (PI.f32))
(pow.f32 (exp.f32 (PI.f32)) u2)
(exp.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (exp.f32 u2) (PI.f32))
(pow.f32 (exp.f32 (PI.f32)) u2)
(exp.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (exp.f32 u2) (PI.f32))
(pow.f32 (exp.f32 (PI.f32)) u2)

localize13.0ms (0.1%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize52.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f32 (log.f32 (+.f32 u1 1)) 3/2)
✓	1.4b	(pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3)
✓	14.7b	(log.f32 (+.f32 u1 1))

Compiler

Compiled 38 to 32 computations (15.8% saved)

series22.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	u1	@	inf	(log.f32 (+.f32 u1 1))
1.0ms	u1	@	inf	(pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3)
1.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3)
0.0ms	u1	@	0	(pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3)
0.0ms	u1	@	-inf	(pow.f32 (log.f32 (+.f32 u1 1)) 3/2)

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`pow1_binary32`
729×	`add-log-exp_binary32`
728×	`log1p-expm1-u_binary32`
728×	`expm1-log1p-u_binary32`
713×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	197	14
2	2172	14

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

Inputs
(log.f32 (+.f32 u1 1))
(pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3)
(pow.f32 (log.f32 (+.f32 u1 1)) 3/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 u1 1)) 2)) (log.f32 (cbrt.f32 (+.f32 u1 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 u1 1))) (log.f32 (sqrt.f32 (+.f32 u1 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (fma.f32 u1 u1 -1)) (log.f32 (+.f32 u1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 1 (pow.f32 u1 3))) (log.f32 (fma.f32 u1 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 u1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 u1)))))))

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

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

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

622×	`associate-/l*_binary32`
318×	`associate-+l+_binary32`
305×	`distribute-rgt-in_binary32`
295×	`distribute-lft-in_binary32`
237×	`associate-*r/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	2615
1	798	2349
2	2872	2066

Stop Event

1×	node limit

Counts

97 → 131

Calls

Call 1

Inputs
u1
(+.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1)
(+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (.f32 1/3 (pow.f32 u1 3)) u1))
(+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(*.f32 -1 (log.f32 (/.f32 1 u1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1))) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(sqrt.f32 u1)
(+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (sqrt.f32 u1) (.f32 1/3 (.f32 (-.f32 (.f32 -63/128 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 -1/64 (sqrt.f32 (pow.f32 u1 7))) (.f32 -1/2 (.f32 (pow.f32 (.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))))))) (pow.f32 u1 2))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (*.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))) (.f32 1/3 (/.f32 (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 2)))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 (.f32 (-.f32 (+.f32 (.f32 -9/8 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/4 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 9/16 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))) 1/3) (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))))) (+.f32 (.f32 -1/8 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))) 1/3) (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6))))))))))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 3))))) (.f32 1/3 (/.f32 (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 2))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 1 u1))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 1 u1))) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6))) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u1 2)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 1 u1))) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6))) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u1 2)))) (+.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 -1/3 (/.f32 (-.f32 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (-.f32 (+.f32 (.f32 -1/4 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 9/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 9/16 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) (+.f32 (.f32 -1/8 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (.f32 -1 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/3) (-.f32 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6))))))) (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u1 3)))))))
(sqrt.f32 (pow.f32 u1 3))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (*.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))) (.f32 19/32 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (.f32 -63/128 (sqrt.f32 (pow.f32 u1 9))) (*.f32 19/32 (sqrt.f32 (pow.f32 u1 7))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 (/.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (/.f32 (.f32 (-.f32 (+.f32 (.f32 -9/8 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/4 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 9/16 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (sqrt.f32 -1)) (pow.f32 u1 3)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (/.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))))
(sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2)))))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 -1 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (-.f32 (+.f32 (.f32 -1/4 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 9/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 9/16 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2))))))

Outputs
u1
(+.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1)
(fma.f32 -1/2 (*.f32 u1 u1) u1)
(+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (.f32 1/3 (pow.f32 u1 3)) u1))
(fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 1/3 (pow.f32 u1 3) u1))
(+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 1/3 (pow.f32 u1 3) u1)))
(*.f32 -1 (log.f32 (/.f32 1 u1)))
(neg.f32 (neg.f32 (log.f32 u1)))
(log.f32 u1)
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))
(fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1))
(+.f32 (/.f32 1 u1) (log.f32 u1))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (/.f32 1 u1) (+.f32 (log.f32 u1) (/.f32 -1/2 (*.f32 u1 u1))))
(+.f32 (/.f32 1 u1) (-.f32 (log.f32 u1) (/.f32 (/.f32 1/2 u1) u1)))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (-.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (+.f32 (/.f32 1 u1) (log.f32 u1)) (-.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 1 u1)) (-.f32 (log.f32 u1) (/.f32 (/.f32 1/2 u1) u1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))
(-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (/.f32 1 u1))
(-.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (log.f32 (/.f32 -1 u1)))
(+.f32 (log.f32 -1) (-.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1))) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (-.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 u1)))
(+.f32 (log.f32 -1) (-.f32 (-.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1))) (/.f32 (/.f32 1/2 u1) u1)))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (-.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (+.f32 (-.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 u1))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (+.f32 (log.f32 -1) (-.f32 (-.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1))) (/.f32 (/.f32 1/2 u1) u1))))
(sqrt.f32 u1)
(+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1))
(fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)))
(fma.f32 1/3 (.f32 u1 (+.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (*.f32 -3/16 (pow.f32 (pow.f32 u1 17) 1/6)))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(fma.f32 1/3 (.f32 u1 (fma.f32 19/32 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(fma.f32 1/3 (.f32 u1 (fma.f32 19/32 (pow.f32 u1 3/2) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (sqrt.f32 u1) (.f32 1/3 (.f32 (-.f32 (.f32 -63/128 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 -1/64 (sqrt.f32 (pow.f32 u1 7))) (.f32 -1/2 (.f32 (pow.f32 (.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))))))) (pow.f32 u1 2))))))
(fma.f32 1/3 (.f32 u1 (+.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 -3/16 (pow.f32 (pow.f32 u1 17) 1/6)))) (+.f32 (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)) (.f32 1/3 (.f32 (.f32 u1 u1) (-.f32 (.f32 (sqrt.f32 (pow.f32 u1 3)) -63/128) (fma.f32 -1/64 (sqrt.f32 (pow.f32 u1 7)) (.f32 -1/2 (.f32 (+.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 -3/16 (pow.f32 (pow.f32 u1 17) 1/6))) (cbrt.f32 (.f32 u1 u1))))))))))
(fma.f32 1/3 (.f32 u1 (fma.f32 19/32 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (fma.f32 1/3 (.f32 (.f32 u1 u1) (-.f32 (.f32 (sqrt.f32 (pow.f32 u1 3)) -63/128) (fma.f32 -1/2 (.f32 (fma.f32 19/32 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16)) (cbrt.f32 (.f32 u1 u1))) (*.f32 -1/64 (sqrt.f32 (pow.f32 u1 7)))))) (sqrt.f32 u1))))
(fma.f32 1/3 (.f32 u1 (fma.f32 19/32 (pow.f32 u1 3/2) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (fma.f32 1/3 (.f32 u1 (.f32 u1 (+.f32 (fma.f32 -63/128 (pow.f32 u1 3/2) (.f32 (pow.f32 u1 7/2) 1/64)) (.f32 (fma.f32 19/32 (pow.f32 u1 3/2) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16)) (.f32 1/2 (cbrt.f32 (*.f32 u1 u1))))))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (*.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 -1/2 (.f32 (cbrt.f32 (sqrt.f32 -1)) (*.f32 (/.f32 1 u1) (pow.f32 (neg.f32 (log.f32 u1)) 1/6)))))
(fma.f32 -1/2 (.f32 (cbrt.f32 (sqrt.f32 -1)) (/.f32 (pow.f32 (neg.f32 (log.f32 u1)) 1/6) u1)) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))) (.f32 1/3 (/.f32 (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 2)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 -1/2 (.f32 (cbrt.f32 (sqrt.f32 -1)) (.f32 (/.f32 1 u1) (pow.f32 (neg.f32 (log.f32 u1)) 1/6))) (.f32 1/3 (/.f32 (-.f32 (.f32 (+.f32 (/.f32 9/8 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 3/4 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))))) (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (.f32 (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) (pow.f32 (pow.f32 (neg.f32 (log.f32 u1)) 5) 1/6)) 3/4)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (*.f32 u1 u1) (neg.f32 (log.f32 u1))))))))
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(+.f32 (.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3/2) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (/.f32 (fma.f32 -9/8 (+.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (fma.f32 1/4 (+.f32 (/.f32 3 (.f32 (log.f32 u1) (log.f32 u1))) (+.f32 (/.f32 -2 (neg.f32 (log.f32 u1))) (/.f32 -2 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (/.f32 -9/16 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) u1) (+.f32 (/.f32 9/8 (.f32 (log.f32 u1) (log.f32 u1))) (+.f32 (/.f32 3/4 (neg.f32 (log.f32 u1))) (/.f32 -3/4 (.f32 (log.f32 u1) (log.f32 u1))))))) (sqrt.f32 -1))) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 -3/2 (/.f32 (sqrt.f32 -1) u1))))
(sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))
(sqrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3))
(fabs.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3/2))
(pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3/2)
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))
(fma.f32 3/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (sqrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)))
(fma.f32 3/2 (/.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) u1) (fabs.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3/2)))
(fma.f32 3/2 (/.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) u1) (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3/2))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2)))))
(+.f32 (fma.f32 3/2 (.f32 (/.f32 1 u1) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (sqrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3))) (.f32 (sqrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)) (/.f32 (+.f32 (/.f32 9/8 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))) (.f32 u1 u1))))
(fma.f32 3/2 (/.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) u1) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 9/8 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (+.f32 (/.f32 -3/4 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 -3/4 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) (.f32 u1 u1)) 1) (fabs.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3/2))))
(fma.f32 3/2 (/.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) u1) (.f32 (+.f32 (/.f32 (+.f32 (.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) 3/8) (/.f32 -3/4 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 u1 u1)) 1) (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3/2)))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 -1 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (-.f32 (+.f32 (.f32 -1/4 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 9/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 9/16 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2))))))
(+.f32 (fma.f32 3/2 (.f32 (/.f32 1 u1) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (sqrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3))) (fma.f32 -1 (.f32 (sqrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)) (/.f32 (-.f32 (fma.f32 -1/4 (+.f32 (/.f32 2 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)) (+.f32 (/.f32 3 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) (/.f32 2 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (.f32 9/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (/.f32 9/16 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3))) (pow.f32 u1 3))) (.f32 (sqrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)) (/.f32 (+.f32 (/.f32 9/8 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))) (.f32 u1 u1)))))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) u1) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 9/8 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (+.f32 (/.f32 -3/4 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 -3/4 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) (.f32 u1 u1)) 1) (fabs.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3/2)))) (*.f32 (fabs.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3/2)) (neg.f32 (/.f32 (fma.f32 -1/4 (+.f32 (/.f32 2 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) (+.f32 (/.f32 3 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) (fma.f32 9/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 -9/16 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)))) (pow.f32 u1 3)))))
(fma.f32 3/2 (/.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) u1) (.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3/2) (+.f32 (+.f32 (/.f32 (+.f32 (.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) 3/8) (/.f32 -3/4 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 u1 u1)) 1) (/.f32 (neg.f32 (+.f32 (/.f32 -1/2 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) (+.f32 (+.f32 (/.f32 -3/4 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 -1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (+.f32 (/.f32 9/8 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 9/8 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 -9/16 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)))))) (pow.f32 u1 3)))))

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.6b	(pow.f32 (log1p.f32 u1) 3)
✓	1.4b	(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6)

Compiler

Compiled 48 to 28 computations (41.7% saved)

series138.0ms (0.9%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
106.0ms	u1	@	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
12.0ms	u2	@	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
6.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6)
6.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6)
3.0ms	u1	@	inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite190.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`log-prod_binary32`
610×	`prod-diff_binary32`
343×	`pow2_binary32`
261×	`pow-unpow_binary32`
238×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	299	28
2	3348	28

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6)
(pow.f32 (log1p.f32 u1) 3)
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/6) (pow.f32 (log1p.f32 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/6) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))))))

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

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

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

663×	`associate-*l/_binary32`
366×	`fma-def_binary32`
213×	`*-commutative_binary32`
205×	`associate-+r+_binary32`
184×	`associate-/r/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	3522
1	1097	3247
2	4384	2942

Stop Event

1×	node limit

Counts

112 → 139

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
(+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 13/96 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 u1)))
(+.f32 (.f32 -35/384 (sqrt.f32 (pow.f32 u1 7))) (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (*.f32 13/96 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 u1))))
(*.f32 (pow.f32 -1 1/6) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (pow.f32 -1 1/6) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 -1/6 (.f32 (pow.f32 -1 1/6) (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 5))) (/.f32 (+.f32 (*.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) u1)))))
(+.f32 (.f32 (pow.f32 -1 1/6) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 -1 1/6) (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 5))) (/.f32 (+.f32 (.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) u1)))) (.f32 (pow.f32 -1 1/6) (.f32 (/.f32 (+.f32 (.f32 1/12 (+.f32 (.f32 -2 (/.f32 (+.f32 (.f32 -1/2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (+.f32 (.f32 -2 (log.f32 (/.f32 1 u1))) (.f32 -1 (.f32 (+.f32 1 (log.f32 (/.f32 1 u1))) (log.f32 (/.f32 1 u1)))))) (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -1 (/.f32 (pow.f32 (+.f32 (.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 2) (pow.f32 (log.f32 (/.f32 1 u1)) 6))))) (.f32 1/72 (/.f32 (pow.f32 (+.f32 (*.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 2) (pow.f32 (log.f32 (/.f32 1 u1)) 6)))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (pow.f32 -1 1/6) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 -1 1/6) (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 5))) (/.f32 (+.f32 (.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) u1)))) (+.f32 (.f32 (pow.f32 -1 1/6) (.f32 (sqrt.f32 (log.f32 (/.f32 1 u1))) (/.f32 (+.f32 (.f32 -1/72 (/.f32 (.f32 (+.f32 (.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (+.f32 (.f32 -2 (/.f32 (+.f32 (.f32 -1/2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (+.f32 (.f32 -2 (log.f32 (/.f32 1 u1))) (.f32 -1 (.f32 (+.f32 1 (log.f32 (/.f32 1 u1))) (log.f32 (/.f32 1 u1)))))) (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -1 (/.f32 (pow.f32 (+.f32 (.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 2) (pow.f32 (log.f32 (/.f32 1 u1)) 6))))) (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/36 (+.f32 (.f32 -6 (/.f32 (.f32 (+.f32 (.f32 -1/2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (+.f32 (.f32 -2 (log.f32 (/.f32 1 u1))) (.f32 -1 (.f32 (+.f32 1 (log.f32 (/.f32 1 u1))) (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (pow.f32 (log.f32 (/.f32 1 u1)) 6))) (+.f32 (.f32 -2 (/.f32 (pow.f32 (+.f32 (.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 3) (pow.f32 (log.f32 (/.f32 1 u1)) 9))) (.f32 -6 (/.f32 (+.f32 1 (+.f32 (.f32 1/3 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (+.f32 (.f32 2 (log.f32 (/.f32 1 u1))) (.f32 -1 (.f32 (log.f32 (/.f32 1 u1)) (-.f32 (.f32 -2/3 (log.f32 (/.f32 1 u1))) 1)))))) (pow.f32 (log.f32 (/.f32 1 u1)) 3)))))) (.f32 -1/1296 (/.f32 (pow.f32 (+.f32 (.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 3) (pow.f32 (log.f32 (/.f32 1 u1)) 9))))) (pow.f32 u1 3)))) (.f32 (pow.f32 -1 1/6) (.f32 (/.f32 (+.f32 (.f32 1/12 (+.f32 (.f32 -2 (/.f32 (+.f32 (.f32 -1/2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (+.f32 (.f32 -2 (log.f32 (/.f32 1 u1))) (.f32 -1 (.f32 (+.f32 1 (log.f32 (/.f32 1 u1))) (log.f32 (/.f32 1 u1)))))) (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -1 (/.f32 (pow.f32 (+.f32 (.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 2) (pow.f32 (log.f32 (/.f32 1 u1)) 6))))) (.f32 1/72 (/.f32 (pow.f32 (+.f32 (*.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 2) (pow.f32 (log.f32 (/.f32 1 u1)) 6)))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1))))))))
(.f32 (pow.f32 1 1/6) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 1 1/6) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1)))) (.f32 (pow.f32 1 1/6) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 1 1/6) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1)))) (+.f32 (.f32 (pow.f32 1 1/6) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (.f32 (/.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 1/12 (+.f32 (.f32 2 (/.f32 (+.f32 (.f32 -1/2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (+.f32 (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1)) (.f32 2 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (.f32 -1 (/.f32 (pow.f32 (+.f32 (.f32 -1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (.f32 -2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) 2) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 6)))))) (pow.f32 u1 2)) (.f32 (pow.f32 1 1/6) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))))
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(pow.f32 u1 3)
(+.f32 (*.f32 -3/2 (pow.f32 u1 4)) (pow.f32 u1 3))
(+.f32 (.f32 -3/2 (pow.f32 u1 4)) (+.f32 (.f32 7/4 (pow.f32 u1 5)) (pow.f32 u1 3)))
(+.f32 (.f32 -3/2 (pow.f32 u1 4)) (+.f32 (.f32 7/4 (pow.f32 u1 5)) (+.f32 (*.f32 -15/8 (pow.f32 u1 6)) (pow.f32 u1 3))))
(*.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))
(+.f32 (.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) (+.f32 (.f32 2 (/.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 2) u1)) (/.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 2) u1)))
(+.f32 (.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 2) (pow.f32 u1 2))) (+.f32 (.f32 2 (/.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 2) u1)) (+.f32 (/.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 2) u1) (+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (log.f32 (/.f32 1 u1))) (log.f32 (/.f32 1 u1))) (pow.f32 u1 2))) (.f32 -2 (/.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 2))))))))
(+.f32 (.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 2) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 2) u1) (+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (log.f32 (/.f32 1 u1))) (log.f32 (/.f32 1 u1))) (pow.f32 u1 2))) (+.f32 (/.f32 1 (pow.f32 u1 3)) (+.f32 (.f32 2 (/.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 3))) (+.f32 (.f32 1/3 (/.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 2) (pow.f32 u1 3))) (+.f32 (.f32 2 (/.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 2) u1)) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 2))) (.f32 -1 (/.f32 (.f32 (-.f32 (*.f32 -2/3 (log.f32 (/.f32 1 u1))) 1) (log.f32 (/.f32 1 u1))) (pow.f32 u1 3))))))))))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)
(+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3) (.f32 -1 (/.f32 (+.f32 (.f32 -1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (.f32 -2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) u1)))
(+.f32 (/.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (+.f32 (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1)) (pow.f32 u1 2)) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2) (pow.f32 u1 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3) (+.f32 (.f32 2 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u1 2))) (.f32 -1 (/.f32 (+.f32 (.f32 -1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (.f32 -2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) u1))))))
(+.f32 (/.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (+.f32 (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1)) (pow.f32 u1 2)) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2) (pow.f32 u1 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3) (+.f32 (.f32 2 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u1 2))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (.f32 -2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) u1)) (.f32 -1 (/.f32 (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (+.f32 1 (.f32 -2/3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (+.f32 (.f32 -1 (+.f32 (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1)) (.f32 -1/3 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))))) (pow.f32 u1 3))))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(+.f32 (.f32 -2 (.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(+.f32 (.f32 -4/45 (.f32 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 2/3 (.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))

Outputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
(fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))
(fma.f32 -1/4 (pow.f32 u1 3/2) (sqrt.f32 u1))
(+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 13/96 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 u1)))
(fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (fma.f32 13/96 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 u1)))
(fma.f32 -1/4 (pow.f32 u1 3/2) (fma.f32 13/96 (pow.f32 u1 5/2) (sqrt.f32 u1)))
(+.f32 (.f32 -35/384 (sqrt.f32 (pow.f32 u1 7))) (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (*.f32 13/96 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 u1))))
(fma.f32 -35/384 (sqrt.f32 (pow.f32 u1 7)) (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (fma.f32 13/96 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 u1))))
(fma.f32 -35/384 (pow.f32 u1 7/2) (fma.f32 -1/4 (pow.f32 u1 3/2) (fma.f32 13/96 (pow.f32 u1 5/2) (sqrt.f32 u1))))
(*.f32 (pow.f32 -1 1/6) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (pow.f32 -1 1/6) (sqrt.f32 (neg.f32 (log.f32 u1))))
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(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))

localize136.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	0.3b	(.f32 (PI.f32) (.f32 u2 2))
✓	0.7b	(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
✓	0.8b	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))

Compiler

Compiled 78 to 48 computations (38.5% saved)

series117.0ms (0.8%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
81.0ms	u2	@	0	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
15.0ms	u2	@	inf	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
15.0ms	u2	@	-inf	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`log-prod_binary32`
603×	`prod-diff_binary32`
339×	`pow2_binary32`
249×	`fma-def_binary32`
239×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	341	39
2	3902	39

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

Inputs

(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))

(expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))

Outputs

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

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

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

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

615×	`associate-/l/_binary32`
481×	`*-commutative_binary32`
334×	`distribute-rgt-in_binary32`
333×	`distribute-lft-in_binary32`
277×	`times-frac_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	1829
1	513	1621
2	1969	1438
3	6363	1374

Stop Event

1×	node limit

Counts

142 → 143

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -48 (pow.f32 (PI.f32) 4)) (.f32 24 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))))))) (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -48 (pow.f32 (PI.f32) 4)) (.f32 24 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))))))) (+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 1/720 (.f32 (+.f32 (.f32 720 (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (.f32 -4/45 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 1440 (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))) (pow.f32 (PI.f32) 2))) (.f32 -1920 (pow.f32 (PI.f32) 6)))) (pow.f32 u2 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))))
(-.f32 (E.f32) 1)
(-.f32 (+.f32 (E.f32) (.f32 -2 (.f32 (E.f32) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))) 1)
(-.f32 (+.f32 (E.f32) (+.f32 (.f32 -2 (.f32 (E.f32) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (.f32 (E.f32) (.f32 (pow.f32 u2 4) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (*.f32 2 (pow.f32 (PI.f32) 4))))))) 1)
(-.f32 (+.f32 (E.f32) (+.f32 (.f32 -2 (.f32 (E.f32) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 (E.f32) (.f32 (pow.f32 u2 6) (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (.f32 -4/45 (pow.f32 (PI.f32) 6))))) (.f32 (E.f32) (.f32 (pow.f32 u2 4) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (*.f32 2 (pow.f32 (PI.f32) 4)))))))) 1)
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.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 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (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 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (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 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (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 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 1/24 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 4) (+.f32 (.f32 -48 (pow.f32 (PI.f32) 4)) (.f32 24 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (*.f32 2 (pow.f32 (PI.f32) 4))))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 1/720 (.f32 (.f32 (+.f32 (.f32 720 (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (.f32 -4/45 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 1440 (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))) (pow.f32 (PI.f32) 2))) (.f32 -1920 (pow.f32 (PI.f32) 6)))) (.f32 (sqrt.f32 -1) (pow.f32 u2 6))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 1/24 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 4) (+.f32 (.f32 -48 (pow.f32 (PI.f32) 4)) (.f32 24 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (*.f32 2 (pow.f32 (PI.f32) 4))))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))

Outputs
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 -2 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1)
(+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -48 (pow.f32 (PI.f32) 4)) (.f32 24 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))))))) (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 -48 (pow.f32 (PI.f32) 4) (.f32 24 (.f32 (pow.f32 (PI.f32) 4) 8/3)))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 -48 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 4) 64))) (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1))
(fma.f32 1/24 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 16)) (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1))
(+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -48 (pow.f32 (PI.f32) 4)) (.f32 24 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))))))) (+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 1/720 (.f32 (+.f32 (.f32 720 (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (.f32 -4/45 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 1440 (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))) (pow.f32 (PI.f32) 2))) (.f32 -1920 (pow.f32 (PI.f32) 6)))) (pow.f32 u2 6))))))
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(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(-.f32 (E.f32) 1)
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(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
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(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
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(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
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(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
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(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
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(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
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(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
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(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
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(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))

eval590.0ms (4%)

Compiler: Compiled 26951 to 16985 computations (37% saved)

prune173.0ms (1.2%)

Pruning

59 alts after pruning (49 fresh and 10 done)

	Pruned	Kept	Total
New	681	18	699
Fresh	17	31	48
Picked	0	1	1
Done	3	9	12
Total	701	59	760

Error

0.0b

Counts

760 → 59

Alt Table

Click to see full alt table

Status	Error	Program
	8.9b	(sqrt.f32 (.f32 (log1p.f32 u1) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (*.f32 2 (PI.f32)))))))))
✓	6.4b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	11.6b	(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
	11.8b	(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))) 2))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) 2))))
	12.1b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
	9.0b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
	8.9b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
✓	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	8.0b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.7b	(sqrt.f32 (log1p.f32 u1))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (log.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	6.8b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
	11.3b	(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	20.6b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (log1p.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3)) (log.f32 (+.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2) (-.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))))
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 u2 (PI.f32) -1) (*.f32 1 (/.f32 u2 u2))))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.5b	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
	16.2b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	8.3b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
	0.9b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32))))))))
	2.9b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.3b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 (neg.f32 (sin.f32 (+.f32 (+.f32 (log.f32 (pow.f32 (sqrt.f32 (exp.f32 u2)) (.f32 (PI.f32) 1/2))) (log.f32 (pow.f32 (sqrt.f32 (exp.f32 u2)) (.f32 (PI.f32) 1/2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 3 (.f32 1/3 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	10.6b	(sqrt.f32 (fma.f32 u1 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (*.f32 u2 -4))) u1))
	4.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))
	1.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
	8.6b	(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
	12.0b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	13.6b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log.f32 (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1))))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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)) (-.f32 (+.f32 1 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 1))))
	9.2b	(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	8.6b	(.f32 (pow.f32 (pow.f32 u1 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.7b	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) (fma.f32 -1 (/.f32 1 (*.f32 u2 (/.f32 -1 u2))) -1)))))
	8.9b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))) 1) 2)))
✓	29.9b	(*.f32 (sqrt.f32 (neg.f32 0)) 1)
	12.1b	(.f32 (pow.f32 (pow.f32 (fma.f32 -1/2 (.f32 u1 u1) u1) 3/2) 1/3) 1)
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (-.f32 (+.f32 1 (.f32 u2 (*.f32 (PI.f32) 2))) 1))))))
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	11.2b	(*.f32 (sqrt.f32 u1) 1)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
✓	12.1b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	8.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))) 1)

Compiler

Compiled 1118 to 917 computations (18% saved)

regimes1.1s (7.7%)

Counts

102 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 0)) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (fma.f32 -1/2 (.f32 u1 u1) u1) 3/2) 1/3) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
(.f32 (pow.f32 (log1p.f32 u1) 1/2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 u1 3) 1/6) (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))))
(sqrt.f32 (fma.f32 u1 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (*.f32 u2 -4))) u1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 3 (.f32 1/3 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(sqrt.f32 (.f32 (log1p.f32 u1) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (*.f32 2 (PI.f32)))))))))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (.f32 (fma.f32 -4 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1) (log1p.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 u2 (PI.f32) -1) (*.f32 1 (/.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) (fma.f32 -1 (/.f32 1 (*.f32 u2 (/.f32 -1 u2))) -1)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(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)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.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))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (-.f32 (+.f32 1 (.f32 u2 (*.f32 (PI.f32) 2))) 1))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))) 1) 2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log.f32 (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1))))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (log.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 2) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 2)) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (-.f32 (+.f32 1 (.f32 u2 (.f32 (PI.f32) 2))) 1)) (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))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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)) (-.f32 (+.f32 1 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (log1p.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3)) (log.f32 (+.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2) (-.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 (neg.f32 (sin.f32 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 (neg.f32 (sin.f32 (+.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))))))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 (neg.f32 (sin.f32 (+.f32 (+.f32 (log.f32 (pow.f32 (sqrt.f32 (exp.f32 u2)) (.f32 (PI.f32) 1/2))) (log.f32 (pow.f32 (sqrt.f32 (exp.f32 u2)) (.f32 (PI.f32) 1/2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))

Outputs

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

Calls

17 calls:

186.0ms	(.f32 (.f32 2 (PI.f32)) u2)
143.0ms	(-.f32 1 u1)
138.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
66.0ms	(log.f32 (-.f32 1 u1))
64.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))

Results

Error	Segments	Branch
0.3b	1	`cosTheta_i`
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.3b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.3b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.3b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.3b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.3b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.3b	1	`(log.f32 (-.f32 1 u1))`
0.3b	1	`(log.f32 (-.f32 1 u1))`
0.3b	1	`(-.f32 1 u1)`
0.3b	1	`(-.f32 1 u1)`
0.3b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.3b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.3b	1	`(.f32 (.f32 2 (PI.f32)) u2)`
0.3b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1739 to 1003 computations (42.3% saved)

regimes789.0ms (5.3%)

Counts

96 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 0)) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (fma.f32 -1/2 (.f32 u1 u1) u1) 3/2) 1/3) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
(.f32 (pow.f32 (log1p.f32 u1) 1/2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 u1 3) 1/6) (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))))
(sqrt.f32 (fma.f32 u1 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (*.f32 u2 -4))) u1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 3 (.f32 1/3 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(sqrt.f32 (.f32 (log1p.f32 u1) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (*.f32 2 (PI.f32)))))))))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (.f32 (fma.f32 -4 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1) (log1p.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 u2 (PI.f32) -1) (*.f32 1 (/.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) (fma.f32 -1 (/.f32 1 (*.f32 u2 (/.f32 -1 u2))) -1)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(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)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.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))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (-.f32 (+.f32 1 (.f32 u2 (*.f32 (PI.f32) 2))) 1))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))) 1) 2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log.f32 (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1))))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (log.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 2) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 2)) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (-.f32 (+.f32 1 (.f32 u2 (.f32 (PI.f32) 2))) 1)) (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))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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)) (-.f32 (+.f32 1 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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))))

Calls

17 calls:

170.0ms	u2
60.0ms	cosTheta_i
41.0ms	(.f32 (.f32 2 (PI.f32)) u2)
41.0ms	(.f32 (.f32 2 (PI.f32)) u2)
41.0ms	(neg.f32 (log.f32 (-.f32 1 u1)))

Results

Error	Segments	Branch
0.3b	1	`cosTheta_i`
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.3b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.3b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.3b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.3b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.3b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.3b	1	`(log.f32 (-.f32 1 u1))`
0.3b	1	`(log.f32 (-.f32 1 u1))`
0.3b	1	`(-.f32 1 u1)`
0.3b	1	`(-.f32 1 u1)`
0.3b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.3b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.3b	1	`(.f32 (.f32 2 (PI.f32)) u2)`
0.3b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1508 to 918 computations (39.1% saved)

regimes895.0ms (6.1%)

Counts

91 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 0)) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (fma.f32 -1/2 (.f32 u1 u1) u1) 3/2) 1/3) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
(.f32 (pow.f32 (log1p.f32 u1) 1/2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 u1 3) 1/6) (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))))
(sqrt.f32 (fma.f32 u1 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (*.f32 u2 -4))) u1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 3 (.f32 1/3 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(sqrt.f32 (.f32 (log1p.f32 u1) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (*.f32 2 (PI.f32)))))))))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (.f32 (fma.f32 -4 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1) (log1p.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 u2 (PI.f32) -1) (*.f32 1 (/.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) (fma.f32 -1 (/.f32 1 (*.f32 u2 (/.f32 -1 u2))) -1)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(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)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.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))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (-.f32 (+.f32 1 (.f32 u2 (*.f32 (PI.f32) 2))) 1))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))) 1) 2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log.f32 (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1))))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (log.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 2) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 2)) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))

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

Calls

17 calls:

184.0ms	(.f32 (.f32 2 (PI.f32)) u2)
144.0ms	(neg.f32 (log.f32 (-.f32 1 u1)))
98.0ms	(log.f32 (-.f32 1 u1))
54.0ms	(-.f32 1 u1)
37.0ms	u1

Results

Error	Segments	Branch
0.3b	1	`cosTheta_i`
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.3b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.3b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.3b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.3b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.3b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.3b	1	`(log.f32 (-.f32 1 u1))`
0.3b	1	`(log.f32 (-.f32 1 u1))`
0.3b	1	`(-.f32 1 u1)`
0.3b	1	`(-.f32 1 u1)`
0.3b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.3b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.3b	1	`(.f32 (.f32 2 (PI.f32)) u2)`
0.3b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1359 to 846 computations (37.7% saved)

regimes377.0ms (2.5%)

Counts

62 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 0)) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (fma.f32 -1/2 (.f32 u1 u1) u1) 3/2) 1/3) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
(.f32 (pow.f32 (log1p.f32 u1) 1/2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 u1 3) 1/6) (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))))
(sqrt.f32 (fma.f32 u1 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (*.f32 u2 -4))) u1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 3 (.f32 1/3 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(sqrt.f32 (.f32 (log1p.f32 u1) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (*.f32 2 (PI.f32)))))))))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (.f32 (fma.f32 -4 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1) (log1p.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 u2 (PI.f32) -1) (*.f32 1 (/.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (/.f32 (neg.f32 (PI.f32)) (/.f32 -1 u2)) (fma.f32 -1 (/.f32 1 (*.f32 u2 (/.f32 -1 u2))) -1)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(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)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

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

Calls

17 calls:

27.0ms	(.f32 (.f32 2 (PI.f32)) u2)
26.0ms	(.f32 (.f32 2 (PI.f32)) u2)
26.0ms	u2
26.0ms	u1
24.0ms	(-.f32 1 u1)

Results

Error	Segments	Branch
0.3b	1	`cosTheta_i`
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.3b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.3b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.3b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.3b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.3b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.3b	1	`(log.f32 (-.f32 1 u1))`
0.3b	1	`(log.f32 (-.f32 1 u1))`
0.3b	1	`(-.f32 1 u1)`
0.3b	1	`(-.f32 1 u1)`
0.3b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.3b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.3b	1	`(.f32 (.f32 2 (PI.f32)) u2)`
0.3b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 859 to 581 computations (32.4% saved)

regimes339.0ms (2.3%)

Counts

51 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 0)) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (fma.f32 -1/2 (.f32 u1 u1) u1) 3/2) 1/3) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
(.f32 (pow.f32 (log1p.f32 u1) 1/2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 u1 3) 1/6) (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))))
(sqrt.f32 (fma.f32 u1 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (*.f32 u2 -4))) u1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 3 (.f32 1/3 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(sqrt.f32 (.f32 (log1p.f32 u1) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (*.f32 2 (PI.f32)))))))))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (.f32 (fma.f32 -4 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1) (log1p.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 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))))

Calls

17 calls:

36.0ms	(-.f32 1 u1)
27.0ms	(log.f32 (-.f32 1 u1))
22.0ms	(.f32 (.f32 2 (PI.f32)) u2)
22.0ms	u2
22.0ms	(.f32 (.f32 2 (PI.f32)) u2)

Results

Error	Segments	Branch
0.3b	1	`cosTheta_i`
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.3b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.3b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.3b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.3b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.3b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.3b	1	`(log.f32 (-.f32 1 u1))`
0.3b	1	`(log.f32 (-.f32 1 u1))`
0.3b	1	`(-.f32 1 u1)`
0.3b	1	`(-.f32 1 u1)`
0.3b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.3b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.3b	1	`(.f32 (.f32 2 (PI.f32)) u2)`
0.3b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 685 to 487 computations (28.9% saved)

regimes345.0ms (2.3%)

Counts

35 → 2

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 0)) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (fma.f32 -1/2 (.f32 u1 u1) u1) 3/2) 1/3) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
(.f32 (pow.f32 (log1p.f32 u1) 1/2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 u1 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

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

Calls

13 calls:

66.0ms	u1
31.0ms	(-.f32 1 u1)
30.0ms	u2
29.0ms	(log.f32 (-.f32 1 u1))
28.0ms	(.f32 (.f32 2 (PI.f32)) u2)

Results

Error	Segments	Branch
4.3b	1	`cosTheta_i`
2.6b	2	`u1`
2.0b	2	`u2`
2.6b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
2.6b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
2.6b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
2.6b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
2.6b	2	`(log.f32 (-.f32 1 u1))`
2.6b	2	`(log.f32 (-.f32 1 u1))`
2.6b	2	`(-.f32 1 u1)`
2.6b	2	`(-.f32 1 u1)`
2.0b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.0b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 397 to 296 computations (25.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001044134609401226	0.0011196316918358207

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes375.0ms (2.5%)

Counts

29 → 2

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 0)) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (fma.f32 -1/2 (.f32 u1 u1) u1) 3/2) 1/3) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)

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

Calls

15 calls:

51.0ms	(-.f32 1 u1)
46.0ms	cosTheta_i
40.0ms	(log.f32 (-.f32 1 u1))
27.0ms	(.f32 (.f32 2 (PI.f32)) u2)
24.0ms	(.f32 (.f32 2 (PI.f32)) u2)

Results

Error	Segments	Branch
6.4b	1	`cosTheta_i`
4.2b	2	`u1`
3.5b	2	`u2`
4.2b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
4.2b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
4.2b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
4.2b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
4.2b	2	`(log.f32 (-.f32 1 u1))`
4.2b	2	`(log.f32 (-.f32 1 u1))`
4.2b	2	`(-.f32 1 u1)`
4.2b	2	`(-.f32 1 u1)`
3.5b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
3.5b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
3.5b	2	`(.f32 (.f32 2 (PI.f32)) u2)`
3.5b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 343 to 266 computations (22.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999278783798218	0.9999291896820068

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes132.0ms (0.9%)

Counts

23 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 0)) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)

Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)

Calls

11 calls:

42.0ms	(log.f32 (-.f32 1 u1))
12.0ms	u1
10.0ms	(-.f32 1 u1)
10.0ms	u2
9.0ms	cosTheta_i

Results

Error	Segments	Branch
6.4b	1	`cosTheta_i`
6.4b	1	`u1`
6.4b	1	`u2`
6.4b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
6.4b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
6.4b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
6.4b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
6.4b	1	`(log.f32 (-.f32 1 u1))`
6.4b	1	`(log.f32 (-.f32 1 u1))`
6.4b	1	`(-.f32 1 u1)`
6.4b	1	`(-.f32 1 u1)`

Compiler

Compiled 239 to 185 computations (22.6% saved)

regimes18.0ms (0.1%)

Accuracy

Total -18.7b remaining (-166.6%)

Threshold costs -18.7b (-166.6%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 0)) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)

Outputs
(*.f32 (sqrt.f32 u1) 1)

Calls

3 calls:

6.0ms	u2
5.0ms	u1
5.0ms	cosTheta_i

Results

Error	Segments	Branch
11.2b	1	`cosTheta_i`
11.2b	1	`u1`
11.2b	1	`u2`

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary32`
10×	`+-commutative_binary32`
6×	`sub-neg_binary32`
6×	`neg-sub0_binary32`
6×	`neg-mul-1_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	279
1	104	279
2	121	277
3	136	277
4	139	277
5	140	277

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 u2 (PI.f32) -1) (*.f32 1 (/.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 295279/268435456) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 2097001/2097152) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 u1) 1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 u2 (PI.f32) -1) (*.f32 1 (/.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 u2 (PI.f32) -1) (/.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 295279/268435456) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 295279/268435456) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (.f32 (neg.f32 u1) (+.f32 -1 (.f32 u1 -1/2)))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 295279/268435456) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 1/2)))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 2097001/2097152) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2097001/2097152) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 u1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 u1) 1)
(sqrt.f32 u1)

Compiler

Compiled 188 to 144 computations (23.4% saved)

soundness18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

40×	`fma-neg_binary32`
22×	`sub-neg_binary32`
17×	`cancel-sign-sub-inv_binary32`
15×	`fma-def_binary32`
11×	`*-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	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

Stop Event

1×

saturated

Compiler

Compiled 64 to 56 computations (12.5% saved)

end61.0ms (0.4%)

Compiler: Compiled 164 to 79 computations (51.8% 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	491	84
9	532	84
10	586	84
11	636	84
12	727	84
13	774	84
14	792	84
15	795	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	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

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	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	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	491	84
9	532	84
10	586	84
11	636	84
12	727	84
13	774	84
14	792	84
15	795	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	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

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	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	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	491	84
9	532	84
10	586	84
11	636	84
12	727	84
13	774	84
14	792	84
15	795	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	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

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	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21