Details

analyze283.0ms (2.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample3.3s (26.7%)

Results

3.3s	8256×	body	256	valid
1.0ms	5×	body	256	invalid

preprocess36.0ms (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×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (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

0.5b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize40.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.2b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
	0.1b	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
✓	0.2b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
✓	14.1b	(log.f32 (-.f32 1 u1))

series87.0ms (0.7%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
72.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
3.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`log-prod_binary32`
493×	`prod-diff_binary32`
322×	`pow2_binary32`
240×	`pow-unpow_binary32`
227×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	284	42
2	3432	42

Stop Event

1×	node limit

Counts

4 → 130

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

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

863×	`fma-def_binary32`
397×	`*-commutative_binary32`
323×	`distribute-rgt-in_binary32`
272×	`distribute-lft-out_binary32`
266×	`times-frac_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	1869
1	493	1677
2	1716	1552
3	5761	1468

Stop Event

1×	node limit

Counts

186 → 190

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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.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 (.f32 u1 (.f32 u1 -1/2)) u1)
(+.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 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (-.f32 (*.f32 -1/4 (pow.f32 u1 4)) 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 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 (log.f32 -1) (-.f32 (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 u1) (+.f32 (+.f32 (log.f32 -1) (/.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) (.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 (log.f32 -1) (-.f32 (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 1/2 (*.f32 u1 u1)) (+.f32 (/.f32 1 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 (+.f32 (log.f32 -1) (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 -1/2 (*.f32 u1 u1)) (-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1))))
(+.f32 (/.f32 -1 u1) (-.f32 (/.f32 -1/2 (*.f32 u1 u1)) (log.f32 (/.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 (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 -1/3 (pow.f32 u1 3)) (+.f32 (/.f32 -1/2 (*.f32 u1 u1)) (-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1)))))
(-.f32 (+.f32 (/.f32 -1 u1) (/.f32 -1/2 (*.f32 u1 u1))) (-.f32 (log.f32 (/.f32 -1 u1)) (/.f32 -1/3 (pow.f32 u1 3))))
(.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 -1/2 (/.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) u1) (.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(fma.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))) (.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (.f32 u1 u1) (.f32 (sqrt.f32 -1) (+.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 (.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (/.f32 (.f32 -1/2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (/.f32 u1 (sqrt.f32 -1))) (.f32 -1/2 (.f32 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 -1)) (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) u1)))) (.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(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 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))))) (.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (.f32 u1 u1) (.f32 (sqrt.f32 -1) (+.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 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))) (pow.f32 u1 3))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
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(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) -4/3)))
(fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 2 (*.f32 u2 (PI.f32))))
(fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 (PI.f32) (*.f32 2 u2)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 5) (.f32 4/15 (pow.f32 u2 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 (PI.f32) 7) (*.f32 -8/315 (pow.f32 u2 7))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))

localize41.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.2b	(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
	0.0b	(log1p.f32 (neg.f32 u1))
✓	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.2b	(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.4b	(*.f32 (PI.f32) u2)

series16.0ms (0.1%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.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)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`prod-diff_binary32`
580×	`log-prod_binary32`
331×	`pow-prod-down_binary32`
284×	`pow2_binary32`
269×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	265	37
2	3222	37

Stop Event

1×	node limit

Counts

4 → 89

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (*.f32 (PI.f32) u2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.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 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.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 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.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)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.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)) (sin.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)) (sin.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)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.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)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.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)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1))))))
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simplify137.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

457×	`distribute-rgt-in_binary32`
451×	`distribute-lft-in_binary32`
428×	`*-commutative_binary32`
386×	`times-frac_binary32`
365×	`associate-/l*_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	2256
1	514	1938
2	1839	1770
3	5502	1665

Stop Event

1×	node limit

Counts

141 → 142

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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (.f32 (sin.f32 (.f32 (.f32 u2 (PI.f32)) 2)) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 (.f32 u2 (PI.f32)) 2)) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (.f32 (sin.f32 (.f32 (*.f32 u2 (PI.f32)) 2)) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 (.f32 u2 (PI.f32)) 2)) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.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 (sin.f32 (.f32 (.f32 u2 (PI.f32)) 2)) (/.f32 (.f32 u1 u1) (.f32 (sqrt.f32 -1) (+.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 (.f32 (sin.f32 (.f32 (*.f32 u2 (PI.f32)) 2)) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (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 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1)))) (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.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 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (/.f32 (+.f32 1/2 (.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) u1)))))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (+.f32 -1/2 (/.f32 -1/2 (/.f32 u1 (+.f32 1/2 (.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 (.f32 u2 (PI.f32)) 2)) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.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 (sin.f32 (.f32 (.f32 u2 (PI.f32)) 2)) (/.f32 (.f32 u1 u1) (.f32 (sqrt.f32 -1) (+.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 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (.f32 (.f32 u2 (PI.f32)) 2)) (/.f32 (pow.f32 u1 3) (.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) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))) (.f32 (.f32 (sin.f32 (.f32 (*.f32 u2 (PI.f32)) 2)) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
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(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (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 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (/.f32 (+.f32 1/2 (.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) u1)))) (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 1/2 (/.f32 (+.f32 1/2 (*.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.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 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3) u1) (+.f32 1/2 (.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(.f32 (sin.f32 (.f32 (.f32 u2 (PI.f32)) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 (.f32 u2 (PI.f32)) 2)) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 (sin.f32 (.f32 (.f32 u2 (PI.f32)) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) u1) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) u1))))
(-.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) u1))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
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(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 u2 (PI.f32)) 2))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 u2 (PI.f32)) 2))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 u2 (PI.f32)) 2))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 u2 (PI.f32)) 2))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
(.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 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 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (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))))) (.f32 (.f32 -1/2 (/.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (+.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 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (/.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 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (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))))) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (.f32 (sqrt.f32 -1) (+.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 u1 u1))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1)) (/.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(fma.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 (+.f32 (/.f32 (+.f32 1/2 (.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) u1) 1) (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 -1/2 (.f32 (+.f32 (/.f32 (+.f32 1/2 (.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) u1) 1) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (/.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 (.f32 (sqrt.f32 -1) (+.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 u1 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) u1)) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.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) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))) (pow.f32 u1 3)))))))
(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) u1) (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))) (.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 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (+.f32 (/.f32 (+.f32 1/2 (.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) u1) 1) (/.f32 (sqrt.f32 -1) u1)) (.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3) (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(fma.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 (/.f32 (sqrt.f32 -1) u1) (+.f32 (+.f32 (/.f32 (+.f32 1/2 (.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) u1) 1) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3) (.f32 u1 u1))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2))
(*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(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 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (/.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) u1))
(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 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 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 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (.f32 u1 u1))) (.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(+.f32 (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 -1/2 u1) (/.f32 (+.f32 -1/4 (.f32 -1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2))) (.f32 u1 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 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (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 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 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 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (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 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (.f32 u1 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)))) (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))) (pow.f32 u1 3)))) (.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(+.f32 (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.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 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (.f32 u1 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)))) (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))) (pow.f32 u1 3))))))
(-.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) u1) (+.f32 1 (+.f32 (/.f32 (neg.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))) -1/3)) (.f32 u1 u1)) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) u1))))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))

eval220.0ms (1.8%)

Compiler: Compiled 8048 to 5651 computations (29.8% saved)

prune132.0ms (1.1%)

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	297	35	332
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	297	37	334

Error

0.1b

Counts

334 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	8.6b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (exp.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	14.5b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	9.5b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	9.6b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
	4.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	8.3b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
	8.5b	(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))))
▶	8.3b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
▶	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	13.6b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	2.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3))))
▶	5.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.8b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	10.1b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (-.f32 (.f32 -1/4 (pow.f32 u1 4)) u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.3b	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.3b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))

Compiler

Compiled 1303 to 1121 computations (14% saved)

localize83.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))))
	0.2b	(log1p.f32 (*.f32 (PI.f32) u2))
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
	0.0b	(log1p.f32 (neg.f32 u1))
✓	0.2b	(sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))))
✓	0.2b	(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	0.4b	(*.f32 (PI.f32) u2)

series5.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`prod-diff_binary32`
602×	`log-prod_binary32`
301×	`pow2_binary32`
273×	`pow-unpow_binary32`
215×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	284	32
2	3397	32

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs

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

(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))

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

Outputs

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

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

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

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

720×	`fma-def_binary32`
518×	`associate-/l/_binary32`
377×	`*-commutative_binary32`
315×	`div-sub_binary32`
300×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	129	1606
1	404	1436
2	1424	1316
3	4699	1232
4	7727	1230

Stop Event

1×	node limit

Counts

133 → 125

Calls

Call 1

Inputs
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.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 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))

Outputs
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.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 u1 u1))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (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 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1)))) (/.f32 (.f32 -1/2 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (/.f32 (/.f32 (.f32 u1 u1) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (/.f32 (sqrt.f32 -1) u1))) (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (+.f32 (/.f32 -1/2 (/.f32 u1 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2))) -1/2))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.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 u1 u1))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (.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) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))
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(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 -1) (fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 (pow.f32 (PI.f32) 5) (.f32 4/15 (pow.f32 u2 5)) (fma.f32 (pow.f32 u2 3) (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 7) (*.f32 -8/315 (pow.f32 u2 7))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.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 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 2 u2))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) -4/3)))
(fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 (PI.f32) (*.f32 2 u2)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 (.f32 4/15 (pow.f32 u2 5)) (pow.f32 (PI.f32) 5) (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) -4/3))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 5) (.f32 4/15 (pow.f32 u2 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 (pow.f32 (PI.f32) 5) (.f32 4/15 (pow.f32 u2 5)) (fma.f32 (pow.f32 u2 3) (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 7) (*.f32 -8/315 (pow.f32 u2 7))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))

localize39.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	0.4b	(*.f32 u2 (PI.f32))
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
	0.0b	(log1p.f32 (neg.f32 u1))
✓	0.0b	(log1p.f32 (neg.f32 u1))
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.4b	(*.f32 u2 (PI.f32))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))

series27.0ms (0.2%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
19.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
2.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

965×	`pow1_binary32`
888×	`add-log-exp_binary32`
887×	`expm1-log1p-u_binary32`
886×	`log1p-expm1-u_binary32`
120×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	244	23
2	2978	23

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs

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

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

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

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

633×	`associate-l_binary32`
571×	`associate-r_binary32`
559×	`fma-def_binary32`
506×	`times-frac_binary32`
408×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1308
1	363	1122
2	1438	1040

Stop Event

1×	node limit

Counts

93 → 103

Calls

Call 1

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

localize37.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(pow.f32 (log1p.f32 u1) 3/2)
	0.2b	(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
	0.1b	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
	0.0b	(log1p.f32 u1)
	0.2b	(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	0.3b	(pow.f32 (log1p.f32 u1) 3/2)
✓	0.3b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.4b	(*.f32 (PI.f32) u2)

series31.0ms (0.2%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	u2	@	inf	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
4.0ms	u1	@	-inf	(pow.f32 (log1p.f32 u1) 3/2)
3.0ms	u1	@	-inf	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	inf	(pow.f32 (log1p.f32 u1) 3/2)
2.0ms	u1	@	inf	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`log-prod_binary32`
584×	`prod-diff_binary32`
351×	`pow-prod-down_binary32`
318×	`pow2_binary32`
243×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	265	23
2	3038	23

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(pow.f32 (log1p.f32 u1) 3/2)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (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 (*.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/6))))) (#(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 log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 9/2))))) (#(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 expm1.f32 (log1p.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 exp.f32 (*.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1))))))

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

813×	`fma-def_binary32`
701×	`associate-r_binary32`
676×	`associate-l_binary32`
469×	`associate-/r*_binary32`
441×	`times-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	2046
1	629	1858
2	2054	1637

Stop Event

1×	node limit

Counts

69 → 87

Calls

Call 1

Inputs
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.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 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.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 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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))))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.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 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))))
(+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(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
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 -1) u1) 1/2))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2)) (.f32 u1 u1)))) (fma.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (/.f32 (sqrt.f32 -1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))) (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 u1 u1))) (fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (*.f32 (sqrt.f32 -1) u1))))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (.f32 (sqrt.f32 -1) u1) 1/2)) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 -1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2) -1/4)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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))))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2)) (.f32 u1 u1)))) (fma.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (/.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 (neg.f32 (log.f32 u1))))) 2)) (.f32 (neg.f32 (log.f32 u1)) (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 u1 3)))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (/.f32 (sqrt.f32 -1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))) (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 u1 u1))) (fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (-.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (*.f32 (sqrt.f32 -1) u1)))))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (.f32 1/2 (fma.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 u1)) 1/3) (pow.f32 u1 3)) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 -1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2) -1/4)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(fma.f32 1/2 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) u1) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) u1) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) 1/2)))
(fma.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 1/2)) (.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(fma.f32 1/2 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) u1) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2))) (.f32 u1 u1))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) u1)) (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 u1 u1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)))))))
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(+.f32 (.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3/2) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 (fma.f32 1/4 (+.f32 (/.f32 3 (.f32 (log.f32 u1) (log.f32 u1))) (-.f32 (/.f32 -2 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (/.f32 -2 (log.f32 u1)))) (fma.f32 -9/8 (+.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (/.f32 -9/16 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (.f32 u1 u1)) (/.f32 (+.f32 (/.f32 9/8 (.f32 (log.f32 u1) (log.f32 u1))) (fma.f32 (/.f32 -1 (log.f32 u1)) 3/4 (/.f32 -3/4 (.f32 (log.f32 u1) (log.f32 u1))))) 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 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 3/2 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 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2))))) (.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 -3/4 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (+.f32 (/.f32 -3/4 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 9/8 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)))) (.f32 u1 u1)) 1) (sqrt.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3))))
(fma.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 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 3/2 u1)))
(+.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 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2))) (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 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2))))) (.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 -3/4 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (+.f32 (/.f32 -3/4 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 9/8 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)))) (.f32 u1 u1)) 1) (sqrt.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)))) (*.f32 (sqrt.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) (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 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))) (-.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 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 3/2 u1) (.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3/2) (+.f32 (/.f32 (neg.f32 (+.f32 (+.f32 (/.f32 -1/2 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) (+.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)) (+.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))))

localize45.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
	0.1b	(sqrt.f32 (log1p.f32 u1))
	0.0b	(log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
	0.0b	(log1p.f32 u1)
✓	0.2b	(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
✓	0.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))
✓	0.4b	(.f32 (PI.f32) (.f32 u2 2))
✓	1.9b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

series8.0ms (0.1%)

Counts

4 → 64

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))
1.0ms	u1	@	0	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
1.0ms	u1	@	inf	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
1.0ms	u1	@	-inf	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`log-prod_binary32`
410×	`prod-diff_binary32`
351×	`pow-prod-down_binary32`
290×	`pow2_binary32`
211×	`pow-unpow_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	242	52
2	2712	52

Stop Event

1×	node limit

Counts

4 → 146

Calls

Call 1

Inputs
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.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))) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 (PI.f32) 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simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

672×	`associate-l_binary32`
626×	`fma-def_binary32`
597×	`associate-r_binary32`
368×	`distribute-rgt-in_binary32`
318×	`times-frac_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	2610
1	377	2420
2	1249	2208
3	6131	1928

Stop Event

1×	node limit

Counts

210 → 146

Calls

Call 1

Inputs
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.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 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.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 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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))))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.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 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))))
(+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.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 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.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 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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))))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.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 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))))
(+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))

Outputs
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 1/2 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (.f32 (sqrt.f32 -1) u1))))
(fma.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 -1)) (/.f32 1/2 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (/.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 1/2 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (.f32 u1 u1)))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 -1)) (/.f32 1/2 u1)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 -1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2) -1/4)))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 -1)) (+.f32 (/.f32 1/2 u1) (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (.f32 u1 u1)))))))
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(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))))) (fma.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (.f32 u1 u1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))))
(+.f32 (fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1)) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2))))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (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 (/.f32 -1 u1)))))) 2)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3))) (.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1)))))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 1/2 (+.f32 (.f32 (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (pow.f32 u1 3))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) u1))) (.f32 -1/2 (.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (*.f32 u1 u1)))))))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log.f32 u1))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 u1))) (+.f32 (.f32 1/2 (.f32 (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (log.f32 u1)) 1/2) (log.f32 u1)) 1/3) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (pow.f32 u1 3)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) u1) (+.f32 1/2 (.f32 -1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (log.f32 u1)) 1/2) u1)))))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(fma.f32 -4/3 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 u2 3)) (.f32 (PI.f32) (.f32 2 u2))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))))
(fma.f32 -4/3 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (fma.f32 4/15 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))
(+.f32 (.f32 2 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1))))) (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 (pow.f32 (PI.f32) 5) (.f32 4/15 (pow.f32 u2 5)) (.f32 (PI.f32) (*.f32 2 u2)))))
(+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))))
(fma.f32 -8/315 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (fma.f32 -4/3 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (fma.f32 4/15 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 (PI.f32) 7) (.f32 -8/315 (pow.f32 u2 7)))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (*.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3)))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 u2 3)) (.f32 (PI.f32) (*.f32 2 u2)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 (pow.f32 (PI.f32) 5) (.f32 4/15 (pow.f32 u2 5)) (.f32 (PI.f32) (.f32 2 u2))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 (PI.f32) 7) (*.f32 -8/315 (pow.f32 u2 7))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))

localize48.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
	0.1b	(cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
	0.0b	(log1p.f32 (neg.f32 u1))
	0.2b	(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	0.4b	(.f32 (PI.f32) (.f32 u2 2))
✓	0.7b	(pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)

series13.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
2.0ms	u2	@	inf	(pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
2.0ms	u2	@	-inf	(pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
2.0ms	u2	@	0	(pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`log-prod_binary32`
465×	`prod-diff_binary32`
314×	`pow2_binary32`
279×	`pow-unpow_binary32`
223×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	329	27
2	3634	27

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

578×	`associate-/l/_binary32`
556×	`fma-def_binary32`
350×	`*-commutative_binary32`
307×	`div-sub_binary32`
304×	`times-frac_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	122	1454
1	379	1260
2	1313	1148
3	4507	1068
4	7740	1066

Stop Event

1×	node limit

Counts

74 → 74

Calls

Call 1

Inputs
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))

Outputs
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 1)
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 1)
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 1)
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 1)
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 1)
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 1)
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 1)
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
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(+.f32 (fma.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) u1) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) u1))))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 (.f32 -1/2 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) u1) (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (pow.f32 u1 3)) (-.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)))) (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))))))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (.f32 (-.f32 1/3 (/.f32 (+.f32 1/4 (.f32 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2) 1/2)) (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3))))) (/.f32 (fma.f32 -1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2) -1/4) (/.f32 u1 (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))))
(-.f32 (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1) (.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 u1 u1)) (+.f32 (/.f32 (-.f32 1/3 (/.f32 (fma.f32 -1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2) -1/4) (neg.f32 (log.f32 (/.f32 -1 u1))))) u1) (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)))))) (.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(-.f32 (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1) (.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 u1 u1)) (+.f32 (/.f32 (-.f32 1/3 (/.f32 (fma.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2) 1/4) (log.f32 (/.f32 -1 u1)))) u1) (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)))))) (.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 -1))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (.f32 u2 (.f32 (PI.f32) 2)) (sqrt.f32 -1)))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 -1))) (.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(fma.f32 2 (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 u2 (.f32 (PI.f32) 2)) (sqrt.f32 -1)) (.f32 (.f32 -4/3 (sqrt.f32 -1)) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 -1) (+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 -1) (+.f32 (.f32 u2 (.f32 2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(fma.f32 4/15 (.f32 (sqrt.f32 -1) (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (fma.f32 2 (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))))
(fma.f32 4/15 (.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 u2 (.f32 (PI.f32) 2)) (sqrt.f32 -1)) (.f32 (.f32 -4/3 (sqrt.f32 -1)) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (.f32 (sqrt.f32 -1) (pow.f32 u2 3)))) (.f32 (sqrt.f32 -1) (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 2 (*.f32 u2 (PI.f32)))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 -1) (+.f32 (+.f32 (.f32 u2 (.f32 2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(fma.f32 4/15 (.f32 (sqrt.f32 -1) (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (fma.f32 2 (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (fma.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))) (.f32 -8/315 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 -4/3 (sqrt.f32 -1)) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 -8/315 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)))))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 4/15 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))) (.f32 (.f32 u2 (.f32 (PI.f32) 2)) (sqrt.f32 -1)))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))) (.f32 (sqrt.f32 -1) (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 2 (*.f32 u2 (PI.f32)))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 -1) (+.f32 (+.f32 (.f32 u2 (.f32 2 (PI.f32))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))

eval338.0ms (2.7%)

Compiler: Compiled 17682 to 10547 computations (40.4% saved)

prune169.0ms (1.4%)

Pruning

52 alts after pruning (48 fresh and 4 done)

	Pruned	Kept	Total
New	680	32	712
Fresh	14	16	30
Picked	0	1	1
Done	3	3	6
Total	697	52	749

Error

0.1b

Counts

749 → 52

Alt Table

Click to see full alt table

Status	Error	Program
	7.0b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/4 (pow.f32 u1 4) (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1)))) (.f32 2 (.f32 u2 (PI.f32))))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2)))))
	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (exp.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	14.5b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	11.5b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (.f32 2 (.f32 u2 (PI.f32))))
	11.7b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 u2 (PI.f32))))))
	7.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 2 (.f32 u2 (PI.f32))))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	4.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	11.3b	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (.f32 2 (*.f32 u2 (PI.f32))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2)))))
	8.3b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
	6.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
	8.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
▶	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))))
	11.3b	(.f32 u2 (.f32 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1))) 2))
✓	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	13.6b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	11.3b	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (.f32 2 (*.f32 u2 (PI.f32))) 3)))
▶	10.8b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	8.4b	(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
	11.3b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (.f32 2 (*.f32 u2 (PI.f32))))
✓	5.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	14.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) 3))
	8.3b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	11.3b	(sqrt.f32 (.f32 (log1p.f32 u1) (.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 4)))
	8.8b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	0.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	11.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 u2 (PI.f32))))) 2)
	9.5b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	7.6b	(.f32 (cbrt.f32 (pow.f32 u1 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	10.2b	(.f32 (pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (log1p.f32 u1)))) (pow.f32 (exp.f32 1) (log.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	11.3b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 u2 (PI.f32))))) 3)
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
▶	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (-.f32 (.f32 -1/4 (pow.f32 u1 4)) u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Compiler

Compiled 1807 to 1495 computations (17.3% saved)

localize56.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
	0.1b	(log1p.f32 (neg.f32 (*.f32 u1 u1)))
	0.1b	(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1))))
	0.0b	(log1p.f32 u1)
	0.2b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.3b	(-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (.f32 2 (PI.f32)) u2)

series48.0ms (0.4%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`log-prod_binary32`
369×	`pow2_binary32`
331×	`fma-def_binary32`
258×	`pow1/3_binary32`
258×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	333	36
2	4253	36

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-def_binary32`
537×	`div-sub_binary32`
488×	`associate-r_binary32`
482×	`associate-l_binary32`
225×	`*-commutative_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1742
1	471	1332
2	1589	1176
3	7333	1176

Stop Event

1×	node limit

Counts

200 → 218

Calls

Call 1

Inputs
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.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 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))))))
(.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.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))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.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))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) 1/3)) (pow.f32 u1 3)))))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2)))))))
(+.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))))
(+.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (.f32 -4/3 (.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2)))))))))
(+.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(*.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 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))) (.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (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 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))))
(-.f32 (.f32 -2 (log.f32 (/.f32 -1 u1))) (.f32 -1 (log.f32 (/.f32 -1 u1))))
(-.f32 (.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1)))
(-.f32 (.f32 -2 (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 (.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))))

Outputs
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2))))))))
(fma.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))) (.f32 1/2 (/.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) u1))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))) (/.f32 1/2 (/.f32 u1 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2)))))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))))))
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(fma.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (+.f32 (.f32 (PI.f32) (.f32 2 u2)) (fma.f32 (.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3) (.f32 (pow.f32 (PI.f32) 5) (*.f32 4/15 (pow.f32 u2 5))))))
(+.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))))))
(fma.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 1 (.f32 u1 u1)))))) (fma.f32 4/15 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 1 (.f32 u1 u1))))) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (fma.f32 -8/315 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 1 (.f32 u1 u1))))) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 -4/3 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 1 (.f32 u1 u1))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))))
(+.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (+.f32 (fma.f32 (.f32 -8/315 (pow.f32 u2 7)) (pow.f32 (PI.f32) 7) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 u2 3)))) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (pow.f32 (PI.f32) 5) (.f32 4/15 (pow.f32 u2 5))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 1 (.f32 u1 u1))))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 1 (.f32 u1 u1))))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 1 (.f32 u1 u1))))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 1 (.f32 u1 u1))))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 1 (.f32 u1 u1))))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 1 (.f32 u1 u1))))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 1 (.f32 u1 u1))))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 1 (.f32 u1 u1))))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(*.f32 -1 u1)
(neg.f32 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1 u1 (.f32 (.f32 u1 u1) -1/2))
(fma.f32 (*.f32 u1 u1) -1/2 (neg.f32 u1))
(fma.f32 u1 (*.f32 u1 -1/2) (neg.f32 u1))
(+.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 (.f32 u1 u1) -1/2)))
(-.f32 (fma.f32 (.f32 u1 u1) -1/2 (.f32 (pow.f32 u1 3) -1/3)) u1)
(-.f32 (.f32 (.f32 u1 u1) (+.f32 (*.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 (.f32 u1 u1) -1/2))))
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 (.f32 u1 u1) -1/2 (.f32 (pow.f32 u1 3) -1/3))) u1)
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))) u1)
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))) (.f32 -1 (log.f32 (/.f32 1 u1))))
(+.f32 (log.f32 -1) (-.f32 (*.f32 (neg.f32 (log.f32 u1)) -2) (neg.f32 (neg.f32 (log.f32 u1)))))
(+.f32 (log.f32 u1) (log.f32 -1))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (-.f32 (*.f32 (neg.f32 (log.f32 u1)) -2) (fma.f32 -1 (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 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))))
(+.f32 (log.f32 -1) (-.f32 (.f32 (neg.f32 (log.f32 u1)) -2) (+.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (/.f32 1/2 (.f32 u1 u1)))))
(+.f32 (log.f32 -1) (-.f32 (-.f32 (log.f32 u1) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (+.f32 (log.f32 u1) (log.f32 -1)) (-.f32 (/.f32 -1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (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 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))))
(-.f32 (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)) (+.f32 (+.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (/.f32 1/2 (.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(-.f32 (+.f32 (log.f32 -1) (-.f32 (-.f32 (log.f32 u1) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1)))) (/.f32 1/3 (pow.f32 u1 3)))
(+.f32 (/.f32 -1/3 (pow.f32 u1 3)) (+.f32 (+.f32 (log.f32 u1) (log.f32 -1)) (-.f32 (/.f32 -1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(-.f32 (.f32 -2 (log.f32 (/.f32 -1 u1))) (.f32 -1 (log.f32 (/.f32 -1 u1))))
(neg.f32 (log.f32 (/.f32 -1 u1)))
(-.f32 (log.f32 u1) (log.f32 -1))
(-.f32 (.f32 -2 (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 -2 (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 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))))
(-.f32 (-.f32 (.f32 -2 (log.f32 (/.f32 -1 u1))) (/.f32 1/3 (pow.f32 u1 3))) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1/2 (.f32 u1 u1)))))
(-.f32 (-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))) (/.f32 1/3 (pow.f32 u1 3)))
(+.f32 (/.f32 -1/3 (pow.f32 u1 3)) (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 -1/2 (*.f32 u1 u1))))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f32 u2 (PI.f32))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
	0.4b	(*.f32 u2 (PI.f32))

series7.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

873×	`pow1_binary32`
804×	`add-log-exp_binary32`
803×	`log1p-expm1-u_binary32`
803×	`expm1-log1p-u_binary32`
787×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	229	13
2	2527	13

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

27×	`associate-l_binary32`
18×	`associate-r_binary32`
16×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	156
1	16	156
2	37	156
3	78	156
4	84	156

Stop Event

1×

saturated

Counts

25 → 15

Calls

Call 1

Inputs
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))

Outputs
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))

localize48.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(*.f32 3 (log1p.f32 (neg.f32 u1)))
	0.2b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
	0.1b	(sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1))))))
	0.0b	(log1p.f32 (neg.f32 u1))
✓	0.3b	(*.f32 3 (log1p.f32 (neg.f32 u1)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.4b	(.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1))))

series5.0ms (0%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	inf	(*.f32 3 (log1p.f32 (neg.f32 u1)))
0.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`log-prod_binary32`
465×	`prod-diff_binary32`
387×	`pow-unpow_binary32`
340×	`pow2_binary32`
243×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	34
1	352	26
2	3920	26

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 3 (log1p.f32 (neg.f32 u1)))

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 3 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (+.f32 u1 1) 2)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (+.f32 u1 1) 3))) (log.f32 (sqrt.f32 (pow.f32 (+.f32 u1 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 3 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 3 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 3 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 9 (pow.f32 (log1p.f32 u1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 3 (log1p.f32 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 3 (log1p.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 3 (log1p.f32 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 3 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 9 (pow.f32 (log1p.f32 u1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (+.f32 u1 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 3 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (/.f32 1 (+.f32 1 (expm1.f32 (*.f32 3 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 3 (log1p.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 3 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 3 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 3 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 3 (log1p.f32 u1))) 1))))))

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

877×	`fma-def_binary32`
430×	`fma-neg_binary32`
390×	`*-commutative_binary32`
340×	`sub-neg_binary32`
266×	`times-frac_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	1821
1	550	1599
2	1883	1475
3	6375	1473

Stop Event

1×	node limit

Counts

107 → 137

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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 -3 u1)
(+.f32 (.f32 -3/2 (pow.f32 u1 2)) (.f32 -3 u1))
(+.f32 (.f32 -3/2 (pow.f32 u1 2)) (+.f32 (.f32 -1 (pow.f32 u1 3)) (*.f32 -3 u1)))
(+.f32 (.f32 -3/2 (pow.f32 u1 2)) (+.f32 (.f32 -3/4 (pow.f32 u1 4)) (+.f32 (.f32 -1 (pow.f32 u1 3)) (.f32 -3 u1))))
(.f32 3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))
(-.f32 (.f32 3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (*.f32 3 (/.f32 1 u1)))
(-.f32 (.f32 3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 3 (/.f32 1 u1)) (.f32 3/2 (/.f32 1 (pow.f32 u1 2)))))
(-.f32 (.f32 3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 3 (/.f32 1 u1)) (+.f32 (.f32 3/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 (pow.f32 u1 3)))))
(*.f32 -3 (log.f32 (/.f32 -1 u1)))
(-.f32 (.f32 -3 (log.f32 (/.f32 -1 u1))) (.f32 3 (/.f32 1 u1)))
(-.f32 (.f32 -3 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 3 (/.f32 1 u1)) (*.f32 3/2 (/.f32 1 (pow.f32 u1 2)))))
(-.f32 (.f32 -3 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 3 (/.f32 1 u1)) (+.f32 (*.f32 3/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 (pow.f32 u1 3)))))

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

localize42.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(*.f32 u2 (PI.f32))
	0.2b	(cbrt.f32 (*.f32 u2 (PI.f32)))
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
	0.0b	(log1p.f32 (neg.f32 u1))
✓	0.2b	(cbrt.f32 (*.f32 u2 (PI.f32)))
	0.4b	(*.f32 u2 (PI.f32))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
✓	0.8b	(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)

series12.0ms (0.1%)

Counts

3 → 20

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
2.0ms	u2	@	-inf	(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
1.0ms	u2	@	inf	(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
1.0ms	u2	@	0	(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary32`
373×	`pow-prod-down_binary32`
330×	`pow-unpow_binary32`
287×	`pow2_binary32`
205×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	311	27
2	3436	27

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (cbrt.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))))) (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cbrt.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) 2) (cbrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 u2) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/6) (pow.f32 (*.f32 u2 (PI.f32)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (PI.f32)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 (PI.f32))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (cbrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/6 (log.f32 (*.f32 u2 (PI.f32)))) 2))))))

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

610×	`associate-l_binary32`
595×	`distribute-neg-frac_binary32`
549×	`associate-r_binary32`
506×	`times-frac_binary32`
416×	`fma-def_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	1081
1	274	917
2	1142	840
3	7083	838

Stop Event

1×	node limit

Counts

108 → 106

Calls

Call 1

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

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

localize47.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
	0.2b	(sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
	0.0b	(log1p.f32 (neg.f32 u1))
	0.2b	(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	0.4b	(*.f32 (PI.f32) u2)
✓	0.5b	(pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)

series6.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`prod-diff_binary32`
621×	`log-prod_binary32`
301×	`pow2_binary32`
293×	`pow-unpow_binary32`
214×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	309	27
2	3455	27

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

811×	`associate-l_binary32`
556×	`fma-def_binary32`
385×	`distribute-lft-out_binary32`
336×	`distribute-rgt-in_binary32`
324×	`unswap-sqr_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1430
1	370	1260
2	1303	1148
3	5570	1068

Stop Event

1×	node limit

Counts

76 → 76

Calls

Call 1

Inputs
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))

Outputs
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 u1 (sqrt.f32 -1))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.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 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (+.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 u1 u1))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (.f32 (sqrt.f32 -1) (.f32 (sin.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 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 u1 (sqrt.f32 -1)))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 (/.f32 (.f32 u1 u1) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) u1))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (+.f32 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) u1) 1) (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.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 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (+.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 u1 u1))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (.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) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (fma.f32 -1/2 (/.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 -1)) (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 (pow.f32 u1 3) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (.f32 (sqrt.f32 -1) (.f32 (sin.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 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 u1 (sqrt.f32 -1)))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 (/.f32 (.f32 u1 u1) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (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 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) u1)))) (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (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 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.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 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) u1) (/.f32 (sqrt.f32 -1) u1)) (+.f32 (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) u1))) (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (*.f32 2 u2)))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 (.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) u1) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2)))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) -1/2) u1)))
(-.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) -1/2) u1)) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (.f32 u1 u1) (+.f32 1/2 (pow.f32 (.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 u1 u1)) (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2))))
(fma.f32 (sin.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 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) u1) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) u1)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) u1))))
(-.f32 (.f32 -1/2 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 1 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) u1)))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (+.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 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))))) (fma.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (.f32 u1 u1) (+.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 (fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 u1 u1)) (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) u1)) (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (pow.f32 u1 3)) (-.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)))) (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))))))))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) u1) (.f32 (-.f32 1/3 (/.f32 (fma.f32 -1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2) -1/4) (neg.f32 (log.f32 (/.f32 -1 u1))))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (pow.f32 u1 3))))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 u1 u1)) (fma.f32 -1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2) -1/4)))))
(-.f32 (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) u1) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 u1 u1)) (+.f32 (/.f32 (-.f32 1/3 (/.f32 (fma.f32 -1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2) -1/4) (neg.f32 (log.f32 (/.f32 -1 u1))))) u1) (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)))))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 -1))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (.f32 (PI.f32) (.f32 2 u2)) (sqrt.f32 -1)))
(.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (PI.f32) (.f32 2 u2))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(fma.f32 2 (.f32 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 -4/3 (.f32 (sqrt.f32 -1) (.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 (PI.f32) (.f32 2 u2)) (sqrt.f32 -1)) (.f32 (.f32 -4/3 (sqrt.f32 -1)) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 -1) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 (PI.f32) (.f32 2 u2)))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(fma.f32 4/15 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))) (fma.f32 2 (.f32 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 -4/3 (.f32 (sqrt.f32 -1) (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(fma.f32 4/15 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (pow.f32 (PI.f32) 5) (.f32 (sqrt.f32 -1) (pow.f32 u2 5)))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 (PI.f32) (.f32 2 u2)) (sqrt.f32 -1)) (.f32 (.f32 -4/3 (sqrt.f32 -1)) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 (PI.f32) (.f32 2 u2)))) (.f32 (sqrt.f32 -1) (.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 -1) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 (PI.f32) (.f32 2 u2))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(fma.f32 4/15 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))) (fma.f32 2 (.f32 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (fma.f32 -4/3 (.f32 (sqrt.f32 -1) (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (sqrt.f32 -1) (.f32 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 -4/3 (sqrt.f32 -1)) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (pow.f32 (PI.f32) 7)) (pow.f32 u2 7))))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 4/15 (.f32 (pow.f32 (PI.f32) 5) (.f32 (sqrt.f32 -1) (pow.f32 u2 5)))) (.f32 (.f32 (PI.f32) (.f32 2 u2)) (sqrt.f32 -1)))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))) (.f32 (sqrt.f32 -1) (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 (PI.f32) (*.f32 2 u2))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 -1) (+.f32 (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)))) (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 (PI.f32) (.f32 2 u2))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))

eval424.0ms (3.4%)

Compiler: Compiled 18212 to 10719 computations (41.1% saved)

prune183.0ms (1.5%)

Pruning

62 alts after pruning (55 fresh and 7 done)

	Pruned	Kept	Total
New	688	25	713
Fresh	13	30	43
Picked	0	1	1
Done	2	6	8
Total	703	62	765

Error

0.0b

Counts

765 → 62

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	4.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 u1 (+.f32 -3 (.f32 u1 -3/2)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.0b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/4 (pow.f32 u1 4) (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1)))) (.f32 2 (.f32 u2 (PI.f32))))
	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (exp.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	14.5b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (.f32 (.f32 3 (log.f32 (*.f32 u2 (PI.f32)))) 1/3))))
	23.6b	(-.f32 (+.f32 1 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 1)
	11.5b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (.f32 2 (.f32 u2 (PI.f32))))
	7.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 2 (.f32 u2 (PI.f32))))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	10.8b	(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
	4.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	11.3b	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (.f32 2 (*.f32 u2 (PI.f32))))
	15.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)))) 2))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 -3 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.3b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
▶	10.8b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (sqrt.f32 u2) (.f32 (sqrt.f32 u2) (PI.f32)))))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
	8.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
✓	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	11.3b	(.f32 u2 (.f32 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1))) 2))
	11.3b	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))))
	5.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2))))
✓	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	13.6b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	6.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	8.4b	(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
	11.3b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (.f32 2 (*.f32 u2 (PI.f32))))
✓	5.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	6.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/6) 2) 3)))
	10.8b	(cbrt.f32 (.f32 (pow.f32 (.f32 2 (*.f32 u2 (PI.f32))) 3) (pow.f32 u1 3/2)))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.3b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	9.5b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2)))
	8.8b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	7.6b	(.f32 (cbrt.f32 (pow.f32 u1 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	10.8b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	1.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (exp.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	10.2b	(.f32 (pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (log1p.f32 u1)))) (pow.f32 (exp.f32 1) (log.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	10.8b	(sqrt.f32 (.f32 u1 (.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 4)))
▶	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))))))))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	5.7b	(.f32 u2 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
	10.8b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 2)
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	10.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 3)
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
✓	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
▶	0.6b	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
	8.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Compiler

Compiled 2075 to 1753 computations (15.5% saved)

localize48.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
	0.1b	(log1p.f32 (*.f32 u1 (neg.f32 u1)))
	0.1b	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
	0.0b	(log1p.f32 u1)
✓	0.2b	(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
✓	0.3b	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
✓	0.3b	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
✓	0.4b	(.f32 (PI.f32) (.f32 2 u2))

series27.0ms (0.2%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
17.0ms	u2	@	inf	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
4.0ms	u2	@	0	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
1.0ms	u1	@	inf	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
1.0ms	u1	@	-inf	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
1.0ms	u1	@	0	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`log-prod_binary32`
362×	`pow2_binary32`
279×	`pow-unpow_binary32`
276×	`fma-def_binary32`
254×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	311	54
2	3939	54

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

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

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

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

812×	`fma-def_binary32`
578×	`associate-l_binary32`
488×	`associate-r_binary32`
323×	`div-sub_binary32`
230×	`*-commutative_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	2026
1	475	1706
2	1525	1461
3	6456	1455

Stop Event

1×	node limit

Counts

223 → 226

Calls

Call 1

Inputs
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2))))))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2))))))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.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 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))))))
(.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.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))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.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))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) 1/3)) (pow.f32 u1 3)))))))
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 1/2 (pow.f32 u1 2)) (+.f32 (.f32 1/4 (pow.f32 u1 4)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1)) (.f32 -2 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))) (.f32 -2 (log.f32 (/.f32 -1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))

Outputs
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2))))))))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))))))
(.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) 2))
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u1
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(fma.f32 (*.f32 u1 u1) 1/2 u1)
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(fma.f32 1/2 (*.f32 u1 u1) (fma.f32 1/3 (pow.f32 u1 3) u1))
(fma.f32 (*.f32 u1 u1) 1/2 (fma.f32 1/3 (pow.f32 u1 3) u1))
(fma.f32 1/3 (pow.f32 u1 3) (fma.f32 u1 (*.f32 u1 1/2) u1))
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(*.f32 (log.f32 (/.f32 -1 u1)) 1)
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(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 (PI.f32) 7) (*.f32 -8/315 (pow.f32 u2 7))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 (pow.f32 u2 5) (.f32 4/15 (pow.f32 (PI.f32) 5)) (fma.f32 (pow.f32 u2 3) (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f32 u2 (PI.f32))
	0.3b	(.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))
✓	0.3b	(.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))
	0.4b	(*.f32 u2 (PI.f32))

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	-inf	(.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))
1.0ms	u1	@	inf	(.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))
0.0ms	u1	@	0	(.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))
0.0ms	u2	@	-inf	(.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))
0.0ms	u2	@	0	(.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))

rewrite47.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

654×	`pow1_binary32`
600×	`add-log-exp_binary32`
600×	`log1p-expm1-u_binary32`
600×	`expm1-log1p-u_binary32`
584×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	139	10
2	1669	10

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize28.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	0.2b	(sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
	0.1b	(sqrt.f32 (log1p.f32 u1))
	0.0b	(log1p.f32 u1)
✓	0.1b	(sqrt.f32 (log1p.f32 u1))
✓	0.2b	(sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
✓	0.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
✓	0.4b	(*.f32 (PI.f32) (+.f32 u2 u2))

series7.0ms (0.1%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
1.0ms	u1	@	inf	(sqrt.f32 (log1p.f32 u1))
1.0ms	u1	@	-inf	(sqrt.f32 (log1p.f32 u1))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
0.0ms	u1	@	0	(sqrt.f32 (log1p.f32 u1))

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

975×	`pow1_binary32`
901×	`add-log-exp_binary32`
900×	`expm1-log1p-u_binary32`
899×	`log1p-expm1-u_binary32`
106×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	207	40
2	2749	40

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

Inputs
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(sqrt.f32 (log1p.f32 u1))

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

878×	`fma-def_binary32`
810×	`associate-l_binary32`
703×	`associate-r_binary32`
503×	`times-frac_binary32`
427×	`associate-/r*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	2068
1	481	1901
2	1628	1714

Stop Event

1×	node limit

Counts

129 → 129

Calls

Call 1

Inputs
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.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 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.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 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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))))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.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 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))))
(+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(*.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 (/.f32 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.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)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.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)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.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)))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.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)) (pow.f32 u1 2)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.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)) (pow.f32 u1 2)))) (+.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.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))))) (pow.f32 u1 3)))))))

Outputs
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 (PI.f32) (.f32 2 u2))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 1/2 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 -1)) (/.f32 1/2 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (.f32 u1 u1)))) (fma.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 1/2 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (/.f32 (sqrt.f32 -1) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 u1 u1))) (fma.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (*.f32 (sqrt.f32 -1) u1))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 u1 u1)) (/.f32 (fma.f32 -1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (sqrt.f32 -1))) 2) -1/4) (sqrt.f32 -1))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 -1)) (/.f32 1/2 u1)))))
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(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 (PI.f32) (.f32 2 u2))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 (.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3) (.f32 (*.f32 2 (PI.f32)) u2))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (pow.f32 u2 3) (*.f32 -4/3 (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 (pow.f32 u2 3) (.f32 -4/3 (pow.f32 (PI.f32) 3)) (fma.f32 (pow.f32 (PI.f32) 5) (.f32 4/15 (pow.f32 u2 5)) (.f32 (PI.f32) (.f32 2 u2))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 (PI.f32) 7) (*.f32 -8/315 (pow.f32 u2 7))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(*.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 (/.f32 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 (/.f32 1/2 (sqrt.f32 -1)) u1)))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.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)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (.f32 (sqrt.f32 -1) u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 (/.f32 1/2 (sqrt.f32 -1)) u1) (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (.f32 (sqrt.f32 -1) (*.f32 u1 u1)))))))
(fma.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (sqrt.f32 -1))) 2) -1/4) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (/.f32 (/.f32 1/2 (sqrt.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 (.f32 -1/2 (.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)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.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)))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (.f32 1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (.f32 (neg.f32 (log.f32 u1)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 (/.f32 1 u1) (sqrt.f32 -1)) (/.f32 (-.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 u1))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (.f32 (sqrt.f32 -1) (*.f32 u1 u1)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (sqrt.f32 -1))) 2) -1/4) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 1/2 (/.f32 (-.f32 1/3 (/.f32 (fma.f32 -1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (sqrt.f32 -1))) 2) -1/4) (log.f32 u1))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (/.f32 (/.f32 1/2 (sqrt.f32 -1)) u1)))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))
(sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(fma.f32 1/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) u1) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.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)) (pow.f32 u1 2)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(fma.f32 1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (.f32 u1 u1))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) u1) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 u1 u1))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))))
(+.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 1/2 u1) (.f32 -1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (*.f32 u1 u1))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.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)) (pow.f32 u1 2)))) (+.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.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))))) (pow.f32 u1 3)))))))
(fma.f32 1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (+.f32 (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (.f32 u1 u1))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (pow.f32 u1 3))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) u1) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 u1 u1))) (fma.f32 1/2 (/.f32 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3)) (pow.f32 u1 3)) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))))
(+.f32 (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (.f32 u1 u1))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 1/2 (/.f32 (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3) (pow.f32 u1 3))) (/.f32 1/2 u1))))

localize41.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2))
	0.2b	(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
	0.1b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2)))
	0.0b	(log1p.f32 u1)
✓	0.2b	(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
✓	0.3b	(.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2))
✓	0.4b	(.f32 u2 (.f32 2 (PI.f32)))
✓	0.5b	(pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)

series7.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`pow1_binary32`
891×	`add-log-exp_binary32`
891×	`expm1-log1p-u_binary32`
890×	`log1p-expm1-u_binary32`
107×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	220	49
2	2499	49

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

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

simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

904×	`fma-def_binary32`
686×	`fma-neg_binary32`
470×	`cancel-sign-sub-inv_binary32`
418×	`*-commutative_binary32`
346×	`unswap-sqr_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	1482
1	378	1478
2	1257	1316
3	3684	1252
4	6505	1252

Stop Event

1×	node limit

Counts

127 → 117

Calls

Call 1

Inputs
(.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 6) (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (*.f32 16/15 (pow.f32 (PI.f32) 6))))))
(+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 (+.f32 (.f32 -32/315 (pow.f32 (PI.f32) 8)) (.f32 -32/45 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6)))))))
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.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)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)
(+.f32 (.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (.f32 -1/4 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 4))))))
(.f32 -1 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (log.f32 (/.f32 1 u1))))
(+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (.f32 -1 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (log.f32 (/.f32 1 u1)))))
(+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (.f32 -1 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (.f32 -1 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (log.f32 (/.f32 1 u1)))))))
(.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2)))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))))))
(.f32 4 (.f32 (pow.f32 u2 2) (*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 4)))) (.f32 4 (.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (.f32 (pow.f32 u2 6) (.f32 (log.f32 (+.f32 1 u1)) (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6)))))))
(+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 (+.f32 (.f32 -32/315 (pow.f32 (PI.f32) 8)) (.f32 -32/45 (pow.f32 (PI.f32) 8))) (.f32 (pow.f32 u2 8) (log.f32 (+.f32 1 u1)))) (.f32 (pow.f32 u2 6) (.f32 (log.f32 (+.f32 1 u1)) (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6))))))))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))

Outputs
(.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 4 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 4 (*.f32 u2 u2)))
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(.f32 4 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (log1p.f32 u1))))
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(fma.f32 -16/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (log1p.f32 u1))) (.f32 4 (.f32 (.f32 (.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))))
(fma.f32 4 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) (log1p.f32 u1)))) (.f32 (.f32 (pow.f32 u2 4) (log1p.f32 u1)) (.f32 (pow.f32 (PI.f32) 4) -16/3)))
(.f32 (log1p.f32 u1) (fma.f32 4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 -16/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))))
(+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (.f32 (pow.f32 u2 6) (.f32 (log.f32 (+.f32 1 u1)) (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6)))))))
(fma.f32 -16/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (log1p.f32 u1))) (fma.f32 4 (.f32 (.f32 (.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2)) (.f32 (.f32 (pow.f32 u2 6) (log1p.f32 u1)) (.f32 (pow.f32 (PI.f32) 6) 128/45))))
(fma.f32 -16/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (log1p.f32 u1))) (fma.f32 4 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) (log1p.f32 u1)))) (.f32 (.f32 (pow.f32 (PI.f32) 6) 128/45) (.f32 (pow.f32 u2 6) (log1p.f32 u1)))))
(fma.f32 -16/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (log1p.f32 u1))) (.f32 (log1p.f32 u1) (fma.f32 4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) 128/45)))))
(.f32 (log1p.f32 u1) (fma.f32 4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 128/45)))))
(+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 (+.f32 (.f32 -32/315 (pow.f32 (PI.f32) 8)) (.f32 -32/45 (pow.f32 (PI.f32) 8))) (.f32 (pow.f32 u2 8) (log.f32 (+.f32 1 u1)))) (.f32 (pow.f32 u2 6) (.f32 (log.f32 (+.f32 1 u1)) (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6))))))))
(fma.f32 -16/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (log1p.f32 u1))) (fma.f32 4 (.f32 (.f32 (.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2)) (fma.f32 (.f32 (pow.f32 (PI.f32) 8) -256/315) (.f32 (pow.f32 u2 8) (log1p.f32 u1)) (.f32 (.f32 (pow.f32 u2 6) (log1p.f32 u1)) (.f32 (pow.f32 (PI.f32) 6) 128/45)))))
(fma.f32 -16/3 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (log1p.f32 u1))) (fma.f32 4 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) (log1p.f32 u1)))) (fma.f32 (.f32 (pow.f32 (PI.f32) 8) -256/315) (.f32 (pow.f32 u2 8) (log1p.f32 u1)) (.f32 (.f32 (pow.f32 (PI.f32) 6) 128/45) (.f32 (pow.f32 u2 6) (log1p.f32 u1))))))
(+.f32 (.f32 (log1p.f32 u1) (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 128/45) (.f32 (.f32 (pow.f32 (PI.f32) 8) -256/315) (pow.f32 u2 8)))) (.f32 (log1p.f32 u1) (fma.f32 4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 -16/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(.f32 (log1p.f32 u1) (fma.f32 4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 128/45) (.f32 (*.f32 (pow.f32 (PI.f32) 8) -256/315) (pow.f32 u2 8))))))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (*.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3)))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 u2 (.f32 2 (PI.f32)) (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 (.f32 4/15 (pow.f32 u2 5)) (pow.f32 (PI.f32) 5))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 u2 (.f32 2 (PI.f32)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 (*.f32 4/15 (pow.f32 u2 5)) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 u2 (.f32 2 (PI.f32)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))

localize52.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
	0.1b	(log.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
	0.0b	(log1p.f32 (neg.f32 u1))
	0.2b	(sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	1.5b	(exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))

series4.0ms (0%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
0.0ms	u2	@	0	(exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
0.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`prod-diff_binary32`
550×	`log-prod_binary32`
277×	`pow2_binary32`
263×	`pow-unpow_binary32`
195×	`pow1/3_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	275	27
2	3577	19

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))

Outputs

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

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

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

720×	`fma-def_binary32`
521×	`associate-/l/_binary32`
382×	`*-commutative_binary32`
315×	`div-sub_binary32`
300×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	129	1546
1	404	1376
2	1422	1256
3	4706	1172
4	7745	1170

Stop Event

1×	node limit

Counts

97 → 101

Calls

Call 1

Inputs
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))

Outputs
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) -4/3)))
(fma.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 u2 3)) (.f32 2 (*.f32 u2 (PI.f32))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 (pow.f32 u2 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) -4/3))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 u2 3)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 u2 3)) (.f32 (pow.f32 (PI.f32) 5) (.f32 4/15 (pow.f32 u2 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 (PI.f32) 7) (*.f32 -8/315 (pow.f32 u2 7))))))
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(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3))) (fma.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 u1 u1)))))))
(+.f32 (fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) u1) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) u1))))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) u1)) (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (pow.f32 u1 3)) (-.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)))) (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))))))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 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)))) (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3))))) (/.f32 (fma.f32 -1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2) -1/4) (/.f32 u1 (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))))
(-.f32 (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 u1 u1)) (+.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 (/.f32 -1 u1)))) 1/3) u1))) (/.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1))) (.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1) (.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 u1 u1)) (+.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (/.f32 (-.f32 1/3 (/.f32 (fma.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2) 1/4) (log.f32 (/.f32 -1 u1)))) u1)))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 2 (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 -1)))))
(.f32 2 (.f32 (sqrt.f32 -1) (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (PI.f32) (.f32 2 (.f32 u2 (sqrt.f32 -1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(fma.f32 2 (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 -1)))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 -1)))) (.f32 (.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) -4/3)) (sqrt.f32 -1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 -1) (fma.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 u2 3)) (.f32 2 (*.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 -1) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 (pow.f32 u2 3))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(fma.f32 4/15 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 -1))) (fma.f32 2 (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 -1))))))
(fma.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 -1)))) (.f32 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) -4/3)) (sqrt.f32 -1)))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 -4/3 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 -1) (fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 u2 3)) (.f32 (pow.f32 (PI.f32) 5) (.f32 4/15 (pow.f32 u2 5)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(fma.f32 4/15 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 -1))) (fma.f32 2 (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (fma.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 -1))) (.f32 -8/315 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 -1)))))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) -4/3)) (sqrt.f32 -1)) (.f32 -8/315 (.f32 (pow.f32 u2 7) (.f32 (pow.f32 (PI.f32) 7) (sqrt.f32 -1)))))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) (sqrt.f32 -1)))) (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 -1)))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (sqrt.f32 -1) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))) (.f32 (sqrt.f32 -1) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 -1) (fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 u2 7) (*.f32 -8/315 (pow.f32 (PI.f32) 7))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))

eval319.0ms (2.6%)

Compiler: Compiled 16474 to 9154 computations (44.4% saved)

prune327.0ms (2.6%)

Pruning

63 alts after pruning (54 fresh and 9 done)

	Pruned	Kept	Total
New	636	14	650
Fresh	10	40	50
Picked	0	1	1
Done	3	8	11
Total	649	63	712

Error

0.0b

Counts

712 → 63

Alt Table

Click to see full alt table

Status	Error	Program
✓	3.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	4.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 u1 (+.f32 -3 (.f32 u1 -3/2)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.0b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/4 (pow.f32 u1 4) (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1)))) (.f32 2 (.f32 u2 (PI.f32))))
	16.2b	(.f32 (sqrt.f32 (log1p.f32 u1)) (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	8.3b	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (exp.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	14.5b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (.f32 (.f32 3 (log.f32 (*.f32 u2 (PI.f32)))) 1/3))))
	23.6b	(-.f32 (+.f32 1 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 1)
	11.5b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (.f32 2 (.f32 u2 (PI.f32))))
	22.8b	(sqrt.f32 (.f32 (log1p.f32 u1) (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 2 (*.f32 (PI.f32) u2))))))))
	7.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 2 (.f32 u2 (PI.f32))))
	9.6b	(.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	10.8b	(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
	4.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (sqrt.f32 u2) (.f32 (sqrt.f32 u2) (PI.f32)))))
	5.7b	(.f32 (PI.f32) (.f32 (.f32 2 u2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
	15.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)))) 2))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 -3 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	11.3b	(.f32 (.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
✓	10.8b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
	8.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	11.3b	(.f32 u2 (.f32 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1))) 2))
	11.3b	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))))
✓	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	13.6b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	6.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	8.4b	(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
	7.6b	(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 u1))
✓	5.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	8.9b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) u1))
	6.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/6) 2) 3)))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.3b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))))
	8.8b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	10.9b	(.f32 2 (.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3) (sqrt.f32 u1)))
	10.8b	(.f32 2 (sqrt.f32 (.f32 u1 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
	7.6b	(.f32 (cbrt.f32 (pow.f32 u1 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	10.8b	(.f32 2 (.f32 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2) (sqrt.f32 u1)))
	10.8b	(.f32 2 (pow.f32 (sqrt.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32))) 2))
	1.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (exp.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	10.2b	(.f32 (pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (log1p.f32 u1)))) (pow.f32 (exp.f32 1) (log.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
✓	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))))))))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	5.7b	(.f32 u2 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	10.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 3)
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
✓	0.6b	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
	24.2b	(.f32 2 (-.f32 (+.f32 1 (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32))) 1))

Compiler

Compiled 1108 to 934 computations (15.7% saved)

regimes1.2s (9.6%)

Counts

108 → 1

Calls

Call 1

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

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

Calls

16 calls:

191.0ms	(log.f32 (-.f32 1 u1))
89.0ms	(.f32 (.f32 2 (PI.f32)) u2)
86.0ms	u2
82.0ms	u1
77.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Results

Error	Segments	Branch
0.5b	1	`cosTheta_i`
0.5b	1	`u1`
0.5b	1	`u2`
0.5b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.5b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.5b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.5b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.5b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.5b	1	`(log.f32 (-.f32 1 u1))`
0.5b	1	`(log.f32 (-.f32 1 u1))`
0.5b	1	`(-.f32 1 u1)`
0.5b	1	`(-.f32 1 u1)`
0.5b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.5b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.5b	1	`(.f32 (.f32 2 (PI.f32)) u2)`
0.5b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1681 to 929 computations (44.7% saved)

regimes643.0ms (5.2%)

Counts

80 → 1

Calls

Call 1

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

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

Calls

12 calls:

102.0ms	(.f32 (.f32 2 (PI.f32)) u2)
97.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
71.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
54.0ms	(.f32 (.f32 2 (PI.f32)) u2)
44.0ms	(-.f32 1 u1)

Results

Error	Segments	Branch
0.5b	1	`cosTheta_i`
0.5b	1	`u1`
0.5b	1	`u2`
0.5b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.5b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.5b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.5b	1	`(log.f32 (-.f32 1 u1))`
0.5b	1	`(-.f32 1 u1)`
0.5b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.5b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.5b	1	`(.f32 (.f32 2 (PI.f32)) u2)`
0.5b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1164 to 671 computations (42.4% saved)

regimes319.0ms (2.6%)

Counts

34 → 2

Calls

Call 1

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

Outputs

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

(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

Calls

7 calls:

62.0ms	u1
54.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
46.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
34.0ms	(.f32 (.f32 2 (PI.f32)) u2)
34.0ms	(.f32 (.f32 2 (PI.f32)) u2)

Results

Error	Segments	Branch
3.0b	1	`cosTheta_i`
1.7b	2	`u1`
1.6b	2	`u2`
1.6b	3	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.6b	3	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.6b	2	`(.f32 (.f32 2 (PI.f32)) u2)`
1.6b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 445 to 278 computations (37.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.014423483051359653	0.014730846509337425

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes349.0ms (2.8%)

Counts

19 → 2

Calls

Call 1

Inputs
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (-.f32 (+.f32 1 (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32))) 1))
(-.f32 (+.f32 1 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 u1))
(.f32 u2 (.f32 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1))) 2))
(.f32 2 (sqrt.f32 (.f32 u1 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(sqrt.f32 (.f32 u1 (.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 4)))
(.f32 (pow.f32 (log1p.f32 u1) 1/2) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 -3 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 u1 (+.f32 -3 (.f32 u1 -3/2)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))

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

Calls

7 calls:

139.0ms	u2
70.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
43.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
39.0ms	(.f32 (.f32 2 (PI.f32)) u2)
21.0ms	(.f32 (.f32 2 (PI.f32)) u2)

Results

Error	Segments	Branch
4.2b	1	`cosTheta_i`
2.1b	2	`u1`
2.0b	2	`u2`
2.0b	3	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.0b	3	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.0b	2	`(.f32 (.f32 2 (PI.f32)) u2)`
2.0b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 271 to 178 computations (34.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.014423483051359653	0.014730846509337425

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes348.0ms (2.8%)

Counts

17 → 2

Calls

Call 1

Inputs
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (-.f32 (+.f32 1 (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32))) 1))
(-.f32 (+.f32 1 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 u1))
(.f32 u2 (.f32 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1))) 2))
(.f32 2 (sqrt.f32 (.f32 u1 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(sqrt.f32 (.f32 u1 (.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 4)))
(.f32 (pow.f32 (log1p.f32 u1) 1/2) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 -3 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

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

Calls

7 calls:

160.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
47.0ms	(.f32 (.f32 2 (PI.f32)) u2)
38.0ms	(.f32 (.f32 2 (PI.f32)) u2)
31.0ms	u1
26.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))

Results

Error	Segments	Branch
5.7b	1	`cosTheta_i`
3.4b	2	`u1`
2.9b	2	`u2`
2.9b	3	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.9b	3	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.9b	2	`(.f32 (.f32 2 (PI.f32)) u2)`
2.9b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 237 to 153 computations (35.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.014730846509337425	0.019716776907444

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes297.0ms (2.4%)

Counts

15 → 2

Calls

Call 1

Inputs
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (-.f32 (+.f32 1 (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32))) 1))
(-.f32 (+.f32 1 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 u1))
(.f32 u2 (.f32 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1))) 2))
(.f32 2 (sqrt.f32 (.f32 u1 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(sqrt.f32 (.f32 u1 (.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 4)))
(.f32 (pow.f32 (log1p.f32 u1) 1/2) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 u1))

Calls

7 calls:

125.0ms	(.f32 (.f32 2 (PI.f32)) u2)
52.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
49.0ms	(.f32 (.f32 2 (PI.f32)) u2)
23.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
17.0ms	u1

Results

Error	Segments	Branch
7.4b	1	`cosTheta_i`
5.1b	2	`u1`
4.6b	2	`u2`
4.6b	3	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
4.6b	3	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
4.6b	2	`(.f32 (.f32 2 (PI.f32)) u2)`
4.6b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 212 to 136 computations (35.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.014730846509337425	0.019716776907444

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes22.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (-.f32 (+.f32 1 (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32))) 1))
(-.f32 (+.f32 1 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 2 (.f32 u2 (PI.f32))))

Calls

3 calls:

8.0ms	cosTheta_i
5.0ms	u1
5.0ms	u2

Results

Error	Segments	Branch
7.4b	1	`cosTheta_i`
7.4b	1	`u1`
7.4b	1	`u2`

Compiler

Compiled 108 to 70 computations (35.2% saved)

regimes19.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (-.f32 (+.f32 1 (.f32 (*.f32 (sqrt.f32 u1) u2) (PI.f32))) 1))
(-.f32 (+.f32 1 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))

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

Calls

3 calls:

7.0ms	cosTheta_i
5.0ms	u1
5.0ms	u2

Results

Error	Segments	Branch
8.2b	1	`cosTheta_i`
8.2b	1	`u1`
8.2b	1	`u2`

Compiler

Compiled 80 to 52 computations (35% saved)

regimes21.0ms (0.2%)

Accuracy

Total -13.5b remaining (-125.7%)

Threshold costs -13.5b (-125.7%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))

Calls

3 calls:

10.0ms	cosTheta_i
4.0ms	u1
4.0ms	u2

Results

Error	Segments	Branch
10.8b	1	`cosTheta_i`
10.8b	1	`u1`
10.8b	1	`u2`

Compiler

Compiled 65 to 43 computations (33.8% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

39×	`distribute-rgt-neg-in_binary32`
36×	`*-commutative_binary32`
30×	`cancel-sign-sub-inv_binary32`
29×	`distribute-lft-neg-in_binary32`
25×	`neg-sub0_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	353
1	107	353
2	122	353
3	156	343
4	208	343
5	264	343
6	332	343
7	373	343
8	385	343

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 62277024/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 62277024/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 64424508/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 64424508/4294967296) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 62277024/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 1946157/134217728) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) (sin.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 1946157/134217728) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)))) (sin.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 62277024/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 1946157/134217728) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 1946157/134217728) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 -1/2))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 64424508/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 16106127/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 64424508/4294967296) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 16106127/1073741824) (.f32 (.f32 2 (.f32 (PI.f32) u2)) (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1)))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 16106127/1073741824) (.f32 (.f32 2 (.f32 (PI.f32) u2)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2))))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 2 (.f32 (PI.f32) u2)) (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))))
(.f32 (.f32 2 (.f32 (PI.f32) u2)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (.f32 2 (.f32 (PI.f32) u2)) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))))
(.f32 (.f32 2 (.f32 (PI.f32) u2)) (sqrt.f32 (-.f32 u1 (.f32 u1 (*.f32 u1 -1/2)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 2 (.f32 (*.f32 (PI.f32) u2) (sqrt.f32 u1)))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 (PI.f32) (.f32 (*.f32 2 u2) (sqrt.f32 u1)))

end126.0ms (1%)

Stop Event

1×

fuel

Compiler

Compiled 451 to 307 computations (31.9% saved)

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

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

Iter	Nodes	Cost
0	65	353
1	107	353
2	122	353
3	156	343
4	208	343
5	264	343
6	332	343
7	373	343
8	385	343

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

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

Iter	Nodes	Cost
0	65	353
1	107	353
2	122	353
3	156	343
4	208	343
5	264	343
6	332	343
7	373	343
8	385	343

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

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

Iter	Nodes	Cost
0	65	353
1	107	353
2	122	353
3	156	343
4	208	343
5	264	343
6	332	343
7	373	343
8	385	343