Details

analyze158.0ms (1.1%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.6s (17.5%)

Results

2.6s	8256×	body	256	valid
2.0ms	9×	body	256	invalid

preprocess123.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

104×	`fma-neg_binary32`
95×	`fma-def_binary32`
60×	`sub-neg_binary32`
45×	`cancel-sign-sub-inv_binary32`
30×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	88
1	59	84
2	98	84
3	124	84
4	155	84
5	191	84
6	231	84
7	319	84
8	491	84
9	532	84
10	586	84
11	636	84
12	727	84
13	774	84
14	792	84
15	795	84
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

40×	`fma-neg_binary32`
22×	`sub-neg_binary32`
17×	`cancel-sign-sub-inv_binary32`
15×	`fma-def_binary32`
11×	`*-commutative_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs

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

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

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

eval1.0ms (0%)

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

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	14.1b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize85.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
✓	14.6b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series77.0ms (0.5%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
34.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
26.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
6.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

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

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

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

188 → 193

Calls

Call 1

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

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

localize62.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 47 to 19 computations (59.6% saved)

series66.0ms (0.4%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
57.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u2	@	inf	(*.f32 (PI.f32) u2)

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`prod-diff_binary32`
573×	`log-prod_binary32`
331×	`pow-prod-down_binary32`
287×	`pow2_binary32`
257×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	266	37
2	3260	37

Stop Event

1×	node limit

Counts

4 → 115

Calls

Call 1

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

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

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

167 → 167

Calls

Call 1

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

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

eval460.0ms (3.1%)

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

prune144.0ms (1%)

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	327	33	360
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	327	35	362

Error

0.0b

Counts

362 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	8.5b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	1.9b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) 2) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
	14.3b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log.f32 (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1))))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	9.4b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	14.1b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	16.9b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	3.8b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.1b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	14.8b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 2) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 2)) 1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	6.8b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	7.2b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	7.9b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.1b	(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	8.8b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	8.0b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))

Compiler

Compiled 1409 to 1169 computations (17% saved)

localize182.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.4b	(*.f32 (PI.f32) u2)
✓	0.6b	(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)

Compiler

Compiled 66 to 28 computations (57.6% saved)

series14.0ms (0.1%)

Counts

3 → 32

Calls

12 calls:

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

rewrite117.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`prod-diff_binary32`
603×	`log-prod_binary32`
301×	`pow2_binary32`
283×	`pow-unpow_binary32`
214×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	310	32
2	3463	32

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs

(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)

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

(cos.f32 (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)))

Outputs

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

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

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

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

802×	`associate-l_binary32`
771×	`associate-r_binary32`
638×	`fma-def_binary32`
536×	`unswap-sqr_binary32`
280×	`*-commutative_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1481
1	383	1299
2	1329	1162
3	6822	1162

Stop Event

1×	node limit

Counts

141 → 145

Calls

Call 1

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

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

localize95.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 10 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(log1p.f32 (neg.f32 u1))
0.0ms	u1	@	inf	(log1p.f32 (neg.f32 u1))
0.0ms	u1	@	-inf	(log1p.f32 (neg.f32 u1))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

13 → 25

Calls

Call 1

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

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

localize66.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 22 computations (50% saved)

series86.0ms (0.6%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
47.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
16.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
14.0ms	u2	@	inf	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	0	(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
1.0ms	u1	@	inf	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite113.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`prod-diff_binary32`
596×	`log-prod_binary32`
351×	`pow-prod-down_binary32`
322×	`pow2_binary32`
233×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	266	22
2	3086	22

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

487×	`times-frac_binary32`
413×	`associate-/r*_binary32`
384×	`distribute-rgt-in_binary32`
382×	`distribute-lft-in_binary32`
369×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	2961
1	805	2799
2	2857	2485

Stop Event

1×	node limit

Counts

64 → 77

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 1 5) 1/9) (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (*.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) 1/18) (/.f32 1 u1))))))
(+.f32 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/8 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 10)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3))) (.f32 3/4 (+.f32 (.f32 2/3 (/.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (log.f32 (/.f32 1 u1)))) (.f32 -1/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 10)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3))))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 1 5) 1/9) (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (*.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) 1/18) (/.f32 1 u1)))))))
(+.f32 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/8 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 10)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3))) (.f32 3/4 (+.f32 (.f32 2/3 (/.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (log.f32 (/.f32 1 u1)))) (.f32 -1/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 10)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3))))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (.f32 (pow.f32 (pow.f32 1 5) 1/9) (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) 1/18) (/.f32 1 u1))))) (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/48 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/3) (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) (+.f32 (.f32 3/8 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 (.f32 2/3 (/.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (log.f32 (/.f32 1 u1)))) (.f32 -1/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 10)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3))))))) (.f32 1/4 (+.f32 (.f32 2/27 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/3) (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) (+.f32 (.f32 -2 (/.f32 (-.f32 1/3 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/9) (.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3)))) (.f32 1/27 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/3) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))))) (log.f32 (/.f32 1 u1)))) (.f32 2/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 14)) 1/9) (.f32 (+.f32 (.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 14)) 1/3)))))))))) (pow.f32 u1 3)) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 1 1/6) (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/18) (/.f32 1 u1)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 1 1/6) (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/18) (/.f32 1 u1)))) (+.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 (/.f32 (+.f32 (.f32 3/4 (+.f32 (.f32 -1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 10)) 1/9)) (.f32 -2/3 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/9))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 1/8 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 10)) 1/9))) (pow.f32 u1 2)) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 1 1/6) (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/18) (/.f32 1 u1)))) (+.f32 (.f32 -1 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (.f32 -3/8 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/9) (+.f32 (.f32 -1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 10)) 1/9)) (.f32 -2/3 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/9))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (+.f32 (.f32 -1/48 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/3)) (.f32 1/4 (+.f32 (.f32 -2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 14)) 1/9))) (+.f32 (.f32 -2 (/.f32 (+.f32 (.f32 2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/9))) (+.f32 1/3 (.f32 -1/27 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) 1/3)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (.f32 -2/27 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/3))))))) (pow.f32 u1 3)))) (+.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 (/.f32 (+.f32 (.f32 3/4 (+.f32 (.f32 -1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 10)) 1/9)) (.f32 -2/3 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/9))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 1/8 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 10)) 1/9))) (pow.f32 u1 2)) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(+.f32 (.f32 -2 (.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(+.f32 (.f32 -4/45 (.f32 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 2/3 (.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))

Outputs
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 1 5) 1/9) (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (*.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) 1/18) (/.f32 1 u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 1/2 (.f32 (*.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18)) (/.f32 1 u1))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 1/2 (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) u1))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (.f32 (/.f32 (pow.f32 (/.f32 -1 (log.f32 u1)) 1/18) u1) 1/2)))
(+.f32 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/8 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 10)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3))) (.f32 3/4 (+.f32 (.f32 2/3 (/.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (log.f32 (/.f32 1 u1)))) (.f32 -1/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 10)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3))))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 1 5) 1/9) (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (*.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) 1/18) (/.f32 1 u1)))))))
(fma.f32 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (fma.f32 1/8 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 10)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 10)) 1/18)) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)))) (.f32 3/4 (fma.f32 2/3 (/.f32 (fma.f32 1/3 (.f32 (.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18)) (cbrt.f32 (/.f32 1 (cbrt.f32 -1)))) 1/2) (neg.f32 (log.f32 u1))) (.f32 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 10)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 10)) 1/18)) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)))) -1/9)))))) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 1/2 (.f32 (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18)) (/.f32 1 u1)))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) u1))) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 1/8 (.f32 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 10)) 1/18)) (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 10)) 1/18)) (+.f32 (.f32 1/2 (/.f32 (fma.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18))) (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1/2) (neg.f32 (log.f32 u1)))) (.f32 (.f32 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 10)) 1/18)) (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 10)) 1/18)) -1/12))) u1)) (sqrt.f32 -1))))
(+.f32 (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (.f32 (/.f32 (pow.f32 (/.f32 -1 (log.f32 u1)) 1/18) u1) 1/2)) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (+.f32 (/.f32 1/2 (/.f32 (neg.f32 (log.f32 u1)) (fma.f32 1/3 (.f32 (pow.f32 (/.f32 -1 (log.f32 u1)) 1/18) (.f32 (pow.f32 (/.f32 -1 (log.f32 u1)) 1/18) (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) 1/2))) (.f32 (.f32 (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 10)) 1/18)) (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 10)) 1/18)) 1/24)) u1)) (sqrt.f32 -1))))
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(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(fma.f32 1/2 (.f32 (/.f32 (cos.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 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 (/.f32 (-.f32 1/3 (/.f32 (.f32 -1/2 (+.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)))) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 (/.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 -1)) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1)))) (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (fma.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (.f32 -1/2 (+.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 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1)))))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1))) (.f32 1/2 (.f32 (/.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))))) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (.f32 1/2 (+.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (+.f32 1/3 (/.f32 (+.f32 1/4 (.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2) 1/2)) (log.f32 u1))) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3))))) (.f32 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (sqrt.f32 -1))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1))))) (.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(fma.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1)) (.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1)))))
(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 (.f32 u1 u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (fma.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1)))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.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))))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1)) (.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(+.f32 (.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) 1/2) (/.f32 (.f32 -1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (/.f32 (.f32 u1 u1) (+.f32 1/2 (.f32 1/4 (/.f32 1 (-.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 (.f32 (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (+.f32 1/3 (/.f32 (.f32 1/2 (+.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)))) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 u1 u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (fma.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (.f32 (/.f32 (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)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.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))))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1)) (.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 (fma.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1)) (+.f32 1/2 (.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))))) (.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) (+.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (*.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3)))))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(sqrt.f32 (log1p.f32 u1))
(+.f32 (.f32 -2 (.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(fma.f32 -2 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (+.f32 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))) 1) (sqrt.f32 (log1p.f32 u1)))
(.f32 (+.f32 (.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)))) 1) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(fma.f32 -2 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))) (fma.f32 2/3 (.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))) (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 (.f32 2/3 (pow.f32 u2 4)) (pow.f32 (PI.f32) 4)) 1)))
(+.f32 (.f32 -4/45 (.f32 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 2/3 (.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(fma.f32 -4/45 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (fma.f32 -2 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))) (fma.f32 2/3 (.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log1p.f32 u1)))))
(+.f32 (.f32 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) 1) (sqrt.f32 (log1p.f32 u1))) (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (.f32 -2 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (+.f32 (.f32 (.f32 -4/45 (pow.f32 (PI.f32) 6)) (pow.f32 u2 6)) (.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))))) (.f32 (.f32 2/3 (pow.f32 u2 4)) (pow.f32 (PI.f32) 4)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))

localize76.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 64 to 36 computations (43.8% saved)

series6.0ms (0%)

Counts

4 → 56

Calls

15 calls:

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

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`log-prod_binary32`
500×	`prod-diff_binary32`
350×	`pow-prod-down_binary32`
296×	`pow2_binary32`
257×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	282	45
2	3353	45

Stop Event

1×	node limit

Counts

4 → 95

Calls

Call 1

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

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

simplify119.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

773×	`associate-l_binary32`
743×	`associate-r_binary32`
638×	`fma-def_binary32`
531×	`unswap-sqr_binary32`
277×	`times-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1751
1	368	1567
2	1296	1428
3	6715	1428

Stop Event

1×	node limit

Counts

151 → 103

Calls

Call 1

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

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

localize94.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.2b	(log1p.f32 (log1p.f32 (neg.f32 u1)))
	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
✓	14.6b	(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)

Compiler

Compiled 76 to 37 computations (51.3% saved)

series34.0ms (0.2%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
5.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
4.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	inf	(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)
2.0ms	u1	@	-inf	(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`prod-diff_binary32`
659×	`log-prod_binary32`
237×	`pow1/3_binary32`
236×	`log1p-udef_binary32`
235×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	342	25
2	3925	25

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

Inputs

(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)

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

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

Outputs

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

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

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

simplify149.0ms (1%)

Algorithm

1×	egg-herbie

Rules

669×	`distribute-rgt-in_binary32`
668×	`distribute-lft-in_binary32`
460×	`associate-/r*_binary32`
458×	`times-frac_binary32`
360×	`associate-*l/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	3435
1	725	2929
2	2687	2644

Stop Event

1×	node limit

Counts

158 → 186

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 (/.f32 (.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2))) (.f32 -1/2 (+.f32 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2)) (/.f32 1 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))))) (pow.f32 u1 2)) (.f32 -1 (log.f32 (/.f32 1 u1))))) (/.f32 1 u1))
(-.f32 (+.f32 (log.f32 -1) (+.f32 (/.f32 (.f32 (-.f32 (+.f32 (.f32 -1/6 (+.f32 (.f32 2 (/.f32 1 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 3))) (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2)))))) (.f32 1/2 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2)) (/.f32 1 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 1/6 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 3)))) (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 3)) (+.f32 (/.f32 (.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2))) (.f32 -1/2 (+.f32 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2)) (/.f32 1 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))))) (pow.f32 u1 2)) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (/.f32 1 u1))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 (.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 -1/2 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (.f32 1/2 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))))) (pow.f32 u1 2))) (/.f32 1 u1))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))))) (.f32 1/6 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (.f32 2 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))))))))))) (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 (.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 -1/2 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (.f32 1/2 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))))) (pow.f32 u1 2)))) (/.f32 1 u1))
(*.f32 -1 u1)
(+.f32 (.f32 -1 u1) (.f32 -1 (pow.f32 u1 2)))
(+.f32 (.f32 -7/6 (pow.f32 u1 3)) (+.f32 (.f32 -1 u1) (*.f32 -1 (pow.f32 u1 2))))
(+.f32 (.f32 -7/6 (pow.f32 u1 3)) (+.f32 (.f32 -1 u1) (+.f32 (.f32 -35/24 (pow.f32 u1 4)) (.f32 -1 (pow.f32 u1 2)))))
(log.f32 (+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(-.f32 (log.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (/.f32 1 (.f32 (+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) u1)))
(-.f32 (+.f32 (log.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2)) (/.f32 1 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (pow.f32 u1 2)))) (/.f32 1 (.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) u1)))
(-.f32 (+.f32 (log.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (/.f32 1 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 3))) (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2))))) (pow.f32 u1 3))) (.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2)) (/.f32 1 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (pow.f32 u1 2))))) (/.f32 1 (.f32 (+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) u1)))
(log.f32 (+.f32 1 (*.f32 -1 (log.f32 (/.f32 -1 u1)))))
(-.f32 (log.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (.f32 (+.f32 1 (*.f32 -1 (log.f32 (/.f32 -1 u1)))) u1)))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (pow.f32 u1 2))) (log.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))))) (/.f32 1 (.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) u1)))
(-.f32 (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (.f32 2 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))))))) (pow.f32 u1 3))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (pow.f32 u1 2))) (log.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))))) (/.f32 1 (.f32 (+.f32 1 (*.f32 -1 (log.f32 (/.f32 -1 u1)))) u1)))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.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) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (+.f32 (.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2))) (.f32 -1/2 (+.f32 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2)) (/.f32 1 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))))) (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (+.f32 (.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2))) (.f32 -1/2 (+.f32 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2)) (/.f32 1 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))))) (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2))) (.f32 -1/2 (+.f32 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2)) (/.f32 1 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))))) (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (.f32 (-.f32 (+.f32 (.f32 -1/6 (+.f32 (.f32 2 (/.f32 1 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 3))) (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2)))))) (.f32 1/2 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2)) (/.f32 1 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 1/6 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 3)))) (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (sqrt.f32 -1) (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))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2) (.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 -1/2 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (.f32 1/2 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 (.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))))) (.f32 1/6 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (.f32 2 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))))))))))) (.f32 1/2 (/.f32 (+.f32 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2) (.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 -1/2 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (.f32 1/2 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))))) (log.f32 (/.f32 -1 u1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2) (.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 -1/2 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (.f32 1/2 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))

Outputs
(*.f32 -1 u1)
(neg.f32 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1 u1 (.f32 -1/2 (.f32 u1 u1)))
(-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)
(.f32 u1 (+.f32 -1 (.f32 -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)
(+.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)
(+.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) (+.f32 (/.f32 (.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2))) (.f32 -1/2 (+.f32 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 2)) (/.f32 1 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))))) (pow.f32 u1 2)) (.f32 -1 (log.f32 (/.f32 1 u1))))) (/.f32 1 u1))
(-.f32 (+.f32 (log.f32 -1) (+.f32 (neg.f32 (neg.f32 (log.f32 u1))) (/.f32 (+.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (/.f32 (.f32 u1 u1) (+.f32 (/.f32 1/2 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) 2)) (.f32 -1/2 (+.f32 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) 2)) (/.f32 1 (+.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))))) (/.f32 1 u1))
(+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (-.f32 (*.f32 (/.f32 (+.f32 (log.f32 -1) (+.f32 (log.f32 u1) 1)) u1) (/.f32 (+.f32 (/.f32 1/2 (pow.f32 (+.f32 (log.f32 -1) (+.f32 (log.f32 u1) 1)) 2)) (+.f32 (/.f32 -1/2 (pow.f32 (+.f32 (log.f32 -1) (+.f32 (log.f32 u1) 1)) 2)) (/.f32 -1/2 (+.f32 (log.f32 -1) (+.f32 (log.f32 u1) 1))))) u1)) (/.f32 1 u1))))
(+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (fma.f32 (/.f32 (+.f32 (log.f32 -1) (+.f32 (log.f32 u1) 1)) u1) (/.f32 (+.f32 (*.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (+.f32 (log.f32 u1) 1)) 2)) 0) (/.f32 -1/2 (+.f32 (log.f32 -1) (+.f32 (log.f32 u1) 1)))) u1) (/.f32 -1 u1))))
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(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (fma.f32 (+.f32 1 (neg.f32 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1/6 (pow.f32 (+.f32 1 (neg.f32 (log.f32 (/.f32 -1 u1)))) 3)) (fma.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (+.f32 1 (neg.f32 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (neg.f32 (log.f32 (/.f32 -1 u1)))) 2))) (+.f32 1 (neg.f32 (log.f32 (/.f32 -1 u1))))) (.f32 1/6 (+.f32 (/.f32 2 (pow.f32 (+.f32 1 (neg.f32 (log.f32 (/.f32 -1 u1)))) 3)) (+.f32 (/.f32 3 (pow.f32 (+.f32 1 (neg.f32 (log.f32 (/.f32 -1 u1)))) 2)) (/.f32 2 (+.f32 1 (neg.f32 (log.f32 (/.f32 -1 u1)))))))))) (.f32 1/2 (/.f32 (+.f32 (.f32 (+.f32 1 (neg.f32 (log.f32 (/.f32 -1 u1)))) (fma.f32 -1/2 (+.f32 (/.f32 1 (+.f32 1 (neg.f32 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (neg.f32 (log.f32 (/.f32 -1 u1)))) 2))) (/.f32 1/2 (pow.f32 (+.f32 1 (neg.f32 (log.f32 (/.f32 -1 u1)))) 2)))) (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (log.f32 (/.f32 -1 u1))))) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1)) (fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 (.f32 (+.f32 1 (neg.f32 (log.f32 (/.f32 -1 u1)))) (fma.f32 -1/2 (+.f32 (/.f32 1 (+.f32 1 (neg.f32 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (neg.f32 (log.f32 (/.f32 -1 u1)))) 2))) (/.f32 1/2 (pow.f32 (+.f32 1 (neg.f32 (log.f32 (/.f32 -1 u1)))) 2)))) (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))))))
(+.f32 (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (/.f32 (fma.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) (+.f32 (+.f32 (/.f32 -1/2 (-.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 -1/2 (pow.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) 2))) (/.f32 1/2 (pow.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) 2))) (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) u1))) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))) (.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 (/.f32 (fma.f32 1/2 (/.f32 (fma.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) (+.f32 (+.f32 (/.f32 -1/2 (-.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 -1/2 (pow.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) 2))) (/.f32 1/2 (pow.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) 2))) (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (log.f32 (/.f32 -1 u1))) (.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1/6 (pow.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) 3)) (fma.f32 1/6 (+.f32 (/.f32 2 (pow.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) 3)) (+.f32 (/.f32 3 (pow.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) 2)) (/.f32 2 (-.f32 1 (log.f32 (/.f32 -1 u1)))))) (/.f32 (+.f32 (/.f32 -1/2 (-.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 -1/2 (pow.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) 2))) (-.f32 1 (log.f32 (/.f32 -1 u1)))))))) (pow.f32 u1 3)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(+.f32 (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) u1) (/.f32 (fma.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 -1/2 (-.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 (/.f32 1 (pow.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) 2)) 0)) (.f32 1/4 (/.f32 1 (log.f32 (/.f32 -1 u1))))) u1))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))) (.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 (+.f32 (/.f32 (fma.f32 1/2 (/.f32 (fma.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 -1/2 (-.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 (/.f32 1 (pow.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) 2)) 0)) (.f32 1/4 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (log.f32 (/.f32 -1 u1))) (.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1/6 (pow.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) 3)) (+.f32 (/.f32 (+.f32 (/.f32 -1/2 (-.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 -1/2 (pow.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) 2))) (-.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (+.f32 (/.f32 1/2 (pow.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) 2)) (/.f32 1/3 (-.f32 1 (log.f32 (/.f32 -1 u1))))) (/.f32 1/3 (pow.f32 (-.f32 1 (log.f32 (/.f32 -1 u1))) 3))))))) (.f32 u1 u1)) 1) (/.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(fma.f32 -2 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 -2 (.f32 (sqrt.f32 -1) (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))) (sqrt.f32 -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (+.f32 (.f32 -2 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))) 1) (sqrt.f32 -1)))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(fma.f32 -2 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))) (fma.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 2/3 (.f32 (sqrt.f32 -1) (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(fma.f32 -2 (.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (sqrt.f32 -1) (.f32 2/3 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (+.f32 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))) 1) (sqrt.f32 -1)) (.f32 (.f32 2/3 (sqrt.f32 -1)) (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(fma.f32 -2 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))) (fma.f32 -4/45 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)))) (fma.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 2/3 (.f32 (sqrt.f32 -1) (.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (sqrt.f32 -1) (.f32 2/3 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 -2 (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))) (.f32 -4/45 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) 1) (sqrt.f32 -1)) (.f32 (sqrt.f32 -1) (+.f32 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))) (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))

eval875.0ms (5.9%)

Compiler: Compiled 21091 to 14483 computations (31.3% saved)

prune182.0ms (1.2%)

Pruning

45 alts after pruning (39 fresh and 6 done)

	Pruned	Kept	Total
New	676	25	701
Fresh	14	14	28
Picked	0	1	1
Done	1	5	6
Total	691	45	736

Error

0.0b

Counts

736 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	8.5b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.1b	(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	11.4b	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
▶	29.9b	(*.f32 (sqrt.f32 (neg.f32 0)) 1)
▶	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	2.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) 2) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	11.9b	(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	14.3b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log.f32 (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1))))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	12.0b	(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) 1)
	1.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sqrt.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1)) (sqrt.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)) -1))
	9.4b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	14.1b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	12.3b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1) 1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (.f32 (.f32 (PI.f32) (cbrt.f32 (*.f32 u2 u2))) (cbrt.f32 u2)))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	16.9b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	3.8b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.1b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	14.8b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	12.2b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	11.8b	(sqrt.f32 (log1p.f32 u1))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	9.0b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
	20.9b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	9.0b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
✓	7.9b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	6.8b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	7.2b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	1.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))) 1)
▶	12.1b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)

Compiler

Compiled 1551 to 1264 computations (18.5% saved)

localize114.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 86 to 23 computations (73.3% saved)

series37.0ms (0.2%)

Counts

4 → 44

Calls

15 calls:

Time	Variable		Point	Expression
24.0ms	u2	@	-inf	(.f32 (.f32 (PI.f32) (cbrt.f32 (*.f32 u2 u2))) (cbrt.f32 u2))
2.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (.f32 (.f32 (PI.f32) (cbrt.f32 (*.f32 u2 u2))) (cbrt.f32 u2)))))
2.0ms	u2	@	0	(.f32 (.f32 (PI.f32) (cbrt.f32 (*.f32 u2 u2))) (cbrt.f32 u2))
1.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (.f32 (.f32 (PI.f32) (cbrt.f32 (*.f32 u2 u2))) (cbrt.f32 u2)))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (.f32 (.f32 (PI.f32) (cbrt.f32 (*.f32 u2 u2))) (cbrt.f32 u2)))))

rewrite243.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`log-prod_binary32`
387×	`pow-unpow_binary32`
363×	`pow2_binary32`
255×	`pow1/3_binary32`
255×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	343	42
2	4085	42

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

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

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

638×	`fma-def_binary32`
616×	`associate-/l/_binary32`
343×	`*-commutative_binary32`
324×	`distribute-rgt-in_binary32`
321×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	140	1609
1	417	1427
2	1410	1290
3	4685	1236

Stop Event

1×	node limit

Counts

151 → 149

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

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

localize19.0ms (0.1%)

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

localize71.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 u1)
✓	0.0b	(log.f32 (log1p.f32 u1))
✓	1.1b	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series7.0ms (0%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(log.f32 (log1p.f32 u1))
1.0ms	u1	@	-inf	(log.f32 (log1p.f32 u1))
1.0ms	u1	@	inf	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
1.0ms	u1	@	-inf	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
1.0ms	u1	@	0	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))

rewrite179.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`pow1_binary32`
514×	`add-sqr-sqrt_binary32`
489×	`add-log-exp_binary32`
489×	`expm1-log1p-u_binary32`
488×	`log1p-expm1-u_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	132	13
2	1444	13

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(log.f32 (log1p.f32 u1))
(log1p.f32 u1)

Outputs

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

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

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

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-def_binary32`
417×	`associate-/r*_binary32`
367×	`cancel-sign-sub-inv_binary32`
325×	`times-frac_binary32`
306×	`associate-l_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	1291
1	447	1158
2	1473	1063
3	6261	854

Stop Event

1×	node limit

Counts

99 → 123

Calls

Call 1

Inputs
(*.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)))))))
(log.f32 u1)
(+.f32 (log.f32 u1) (*.f32 -1/2 u1))
(+.f32 (.f32 5/24 (pow.f32 u1 2)) (+.f32 (log.f32 u1) (.f32 -1/2 u1)))
(+.f32 (.f32 -1/8 (pow.f32 u1 3)) (+.f32 (.f32 5/24 (pow.f32 u1 2)) (+.f32 (log.f32 u1) (*.f32 -1/2 u1))))
(log.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 (.f32 (log.f32 (/.f32 1 u1)) u1)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (pow.f32 u1 2))) (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1))))) (/.f32 1 (*.f32 (log.f32 (/.f32 1 u1)) u1)))
(-.f32 (+.f32 (.f32 1/6 (/.f32 (-.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))))) (pow.f32 u1 3))) (+.f32 (.f32 1/2 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (pow.f32 u1 2))) (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1)))))) (/.f32 1 (*.f32 (log.f32 (/.f32 1 u1)) u1)))
(log.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1)))
(+.f32 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1)) (.f32 -1/2 (/.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)))) (pow.f32 u1 2)))))
(+.f32 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1)) (+.f32 (.f32 -1/2 (/.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)))) (pow.f32 u1 2))) (.f32 1/6 (/.f32 (+.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)))))) (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 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(*.f32 -1 (log.f32 (/.f32 1 u1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1))) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))

Outputs
(*.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 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))
(fma.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 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (.f32 (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 (/.f32 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 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 1/2 (.f32 (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 -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 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2) -1/4) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (/.f32 1/2 (*.f32 (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 (.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 (/.f32 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 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 1 (.f32 (sqrt.f32 -1) u1)) (/.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)) (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 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (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 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2) -1/4) (log.f32 u1))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (/.f32 1/2 (*.f32 (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))))
(sqrt.f32 (log.f32 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)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 u1))) u1) (sqrt.f32 (log.f32 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 -1/2 (/.f32 -1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (*.f32 u1 u1))))))
(+.f32 (sqrt.f32 (log.f32 u1)) (.f32 (sqrt.f32 (/.f32 1 (log.f32 u1))) (+.f32 (/.f32 1/2 u1) (.f32 -1/2 (/.f32 (fma.f32 -1/2 (/.f32 -1/2 (log.f32 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 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.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))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))))
(+.f32 (fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (fma.f32 -1/2 (/.f32 -1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3)) (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 -1/2 (/.f32 -1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (.f32 u1 u1))))))
(+.f32 (fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 u1))) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (fma.f32 -1/2 (/.f32 -1/2 (log.f32 u1)) 1/2) (log.f32 u1)) 1/3)) (sqrt.f32 (log.f32 u1))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 u1))) (+.f32 (/.f32 1/2 u1) (.f32 -1/2 (/.f32 (fma.f32 -1/2 (/.f32 -1/2 (log.f32 u1)) 1/2) (.f32 u1 u1))))))
(log.f32 u1)
(+.f32 (log.f32 u1) (*.f32 -1/2 u1))
(+.f32 (log.f32 u1) (*.f32 u1 -1/2))
(fma.f32 u1 -1/2 (log.f32 u1))
(+.f32 (.f32 5/24 (pow.f32 u1 2)) (+.f32 (log.f32 u1) (.f32 -1/2 u1)))
(fma.f32 5/24 (.f32 u1 u1) (+.f32 (log.f32 u1) (.f32 u1 -1/2)))
(fma.f32 (*.f32 u1 u1) 5/24 (fma.f32 u1 -1/2 (log.f32 u1)))
(fma.f32 u1 -1/2 (fma.f32 (*.f32 u1 u1) 5/24 (log.f32 u1)))
(fma.f32 u1 (+.f32 -1/2 (*.f32 u1 5/24)) (log.f32 u1))
(+.f32 (.f32 -1/8 (pow.f32 u1 3)) (+.f32 (.f32 5/24 (pow.f32 u1 2)) (+.f32 (log.f32 u1) (*.f32 -1/2 u1))))
(fma.f32 -1/8 (pow.f32 u1 3) (fma.f32 5/24 (.f32 u1 u1) (+.f32 (log.f32 u1) (.f32 u1 -1/2))))
(fma.f32 (pow.f32 u1 3) -1/8 (fma.f32 (*.f32 u1 u1) 5/24 (fma.f32 u1 -1/2 (log.f32 u1))))
(fma.f32 u1 (*.f32 u1 5/24) (fma.f32 (pow.f32 u1 3) -1/8 (fma.f32 u1 -1/2 (log.f32 u1))))
(fma.f32 (pow.f32 u1 3) -1/8 (fma.f32 u1 (+.f32 -1/2 (*.f32 u1 5/24)) (log.f32 u1)))
(log.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))))
(log.f32 (neg.f32 (neg.f32 (log.f32 u1))))
(log.f32 (log.f32 u1))
(-.f32 (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 (.f32 (log.f32 (/.f32 1 u1)) u1)))
(-.f32 (log.f32 (neg.f32 (neg.f32 (log.f32 u1)))) (/.f32 1 (*.f32 u1 (neg.f32 (log.f32 u1)))))
(-.f32 (log.f32 (log.f32 u1)) (/.f32 (/.f32 1 u1) (neg.f32 (log.f32 u1))))
(-.f32 (log.f32 (log.f32 u1)) (/.f32 (/.f32 -1 (log.f32 u1)) u1))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (pow.f32 u1 2))) (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1))))) (/.f32 1 (*.f32 (log.f32 (/.f32 1 u1)) u1)))
(-.f32 (fma.f32 1/2 (/.f32 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))) (.f32 u1 u1)) (log.f32 (neg.f32 (neg.f32 (log.f32 u1))))) (/.f32 1 (.f32 u1 (neg.f32 (log.f32 u1)))))
(+.f32 (fma.f32 1/2 (/.f32 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 u1 u1)) (log.f32 (log.f32 u1))) (/.f32 -1 (*.f32 u1 (neg.f32 (log.f32 u1)))))
(+.f32 (log.f32 (log.f32 u1)) (-.f32 (/.f32 (fma.f32 1/2 (/.f32 -1 (log.f32 u1)) (/.f32 -1/2 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 u1 u1)) (/.f32 (/.f32 -1 (log.f32 u1)) u1)))
(+.f32 (log.f32 (log.f32 u1)) (-.f32 (/.f32 (fma.f32 1/2 (/.f32 -1 (log.f32 u1)) (/.f32 -1/2 (pow.f32 (log.f32 u1) 2))) (*.f32 u1 u1)) (/.f32 (/.f32 -1 (log.f32 u1)) u1)))
(-.f32 (+.f32 (.f32 1/6 (/.f32 (-.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))))) (pow.f32 u1 3))) (+.f32 (.f32 1/2 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (pow.f32 u1 2))) (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1)))))) (/.f32 1 (*.f32 (log.f32 (/.f32 1 u1)) u1)))
(-.f32 (fma.f32 1/6 (/.f32 (-.f32 (/.f32 3 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (+.f32 (/.f32 2 (neg.f32 (log.f32 u1))) (/.f32 2 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))) (.f32 u1 u1)) (log.f32 (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 1 (.f32 u1 (neg.f32 (log.f32 u1)))))
(+.f32 (fma.f32 1/6 (/.f32 (-.f32 (-.f32 (/.f32 3 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 2 (neg.f32 (log.f32 u1)))) (/.f32 2 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 u1 u1)) (log.f32 (log.f32 u1)))) (/.f32 -1 (.f32 u1 (neg.f32 (log.f32 u1)))))
(+.f32 (-.f32 (log.f32 (log.f32 u1)) (/.f32 (/.f32 -1 (log.f32 u1)) u1)) (fma.f32 1/6 (/.f32 (-.f32 (-.f32 (/.f32 3 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 -2 (log.f32 u1))) (/.f32 2 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (pow.f32 u1 3)) (/.f32 (fma.f32 1/2 (/.f32 -1 (log.f32 u1)) (/.f32 -1/2 (.f32 (log.f32 u1) (log.f32 u1)))) (*.f32 u1 u1))))
(+.f32 (-.f32 (log.f32 (log.f32 u1)) (/.f32 (/.f32 -1 (log.f32 u1)) u1)) (fma.f32 1/6 (/.f32 (-.f32 (-.f32 (/.f32 3 (pow.f32 (log.f32 u1) 2)) (/.f32 -2 (log.f32 u1))) (/.f32 2 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (pow.f32 u1 3)) (/.f32 (fma.f32 1/2 (/.f32 -1 (log.f32 u1)) (/.f32 -1/2 (pow.f32 (log.f32 u1) 2))) (*.f32 u1 u1))))
(log.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(log.f32 (neg.f32 (neg.f32 (log.f32 u1))))
(log.f32 (log.f32 u1))
(+.f32 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1)))
(+.f32 (log.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (/.f32 1 (*.f32 u1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))
(+.f32 (log.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 (/.f32 1 u1) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))
(+.f32 (log.f32 (log.f32 u1)) (/.f32 1 (*.f32 u1 (log.f32 u1))))
(+.f32 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1)) (.f32 -1/2 (/.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)))) (pow.f32 u1 2)))))
(+.f32 (log.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (+.f32 (/.f32 1 (.f32 u1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (.f32 -1/2 (/.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))) (*.f32 u1 u1)))))
(+.f32 (log.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (fma.f32 -1/2 (/.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 u1 u1)) (/.f32 (/.f32 1 u1) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))))
(+.f32 (+.f32 (log.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 (/.f32 1 u1) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (+.f32 (/.f32 -1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 -1/2 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))) (*.f32 u1 u1)))
(+.f32 (log.f32 (log.f32 u1)) (+.f32 (/.f32 1 (.f32 u1 (log.f32 u1))) (/.f32 (+.f32 (/.f32 -1/2 (pow.f32 (log.f32 u1) 2)) (/.f32 -1/2 (log.f32 u1))) (.f32 u1 u1))))
(+.f32 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1)) (+.f32 (.f32 -1/2 (/.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)))) (pow.f32 u1 2))) (.f32 1/6 (/.f32 (+.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)))))) (pow.f32 u1 3))))))
(+.f32 (log.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (+.f32 (/.f32 1 (.f32 u1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (fma.f32 -1/2 (/.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))) (.f32 u1 u1)) (*.f32 1/6 (/.f32 (+.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))))) (pow.f32 u1 3))))))
(+.f32 (/.f32 (/.f32 1 u1) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (+.f32 (log.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (fma.f32 1/6 (/.f32 (+.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)))))) (pow.f32 u1 3)) (/.f32 -1/2 (/.f32 (*.f32 u1 u1) (+.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 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 (+.f32 (/.f32 -1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 -1/2 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))) (*.f32 u1 u1)) (+.f32 (/.f32 (/.f32 1 u1) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 (fma.f32 1/6 (+.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))))) (/.f32 1/3 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3))) (pow.f32 u1 3)))))
(+.f32 (log.f32 (log.f32 u1)) (+.f32 (/.f32 (+.f32 (/.f32 -1/2 (pow.f32 (log.f32 u1) 2)) (/.f32 -1/2 (log.f32 u1))) (.f32 u1 u1)) (+.f32 (/.f32 1 (.f32 u1 (log.f32 u1))) (/.f32 (+.f32 (+.f32 (/.f32 1/3 (log.f32 u1)) (/.f32 1/2 (pow.f32 (log.f32 u1) 2))) (/.f32 1/3 (pow.f32 (log.f32 u1) 3))) (pow.f32 u1 3)))))
u1
(+.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1)
(fma.f32 -1/2 (*.f32 u1 u1) u1)
(fma.f32 u1 (*.f32 u1 -1/2) u1)
(+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (.f32 1/3 (pow.f32 u1 3)) u1))
(fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 1/3 (pow.f32 u1 3) u1))
(fma.f32 u1 (*.f32 u1 -1/2) (fma.f32 1/3 (pow.f32 u1 3) u1))
(+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 1/3 (pow.f32 u1 3) u1)))
(fma.f32 u1 (*.f32 u1 -1/2) (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 1/3 (pow.f32 u1 3) u1)))
(*.f32 -1 (log.f32 (/.f32 1 u1)))
(log.f32 u1)
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))
(fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1))
(+.f32 (/.f32 1 u1) (log.f32 u1))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (/.f32 1 u1) (-.f32 (log.f32 u1) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (/.f32 1 u1) (+.f32 (log.f32 u1) (/.f32 -1/2 (*.f32 u1 u1))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (-.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (+.f32 (log.f32 u1) (/.f32 1/3 (pow.f32 u1 3))) (-.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (/.f32 1 u1) (+.f32 (log.f32 u1) (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 -1/2 (*.f32 u1 u1)))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))
(log.f32 u1)
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))
(fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1))
(+.f32 (/.f32 1 u1) (log.f32 u1))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1))) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (/.f32 1 u1) (-.f32 (log.f32 u1) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (/.f32 1 u1) (+.f32 (log.f32 u1) (/.f32 -1/2 (*.f32 u1 u1))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (-.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (+.f32 (log.f32 u1) (/.f32 1/3 (pow.f32 u1 3))) (-.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (/.f32 1 u1) (+.f32 (log.f32 u1) (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 -1/2 (*.f32 u1 u1)))))

localize68.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 73 to 46 computations (37% saved)

series5.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`log-prod_binary32`
466×	`prod-diff_binary32`
385×	`pow-unpow_binary32`
341×	`pow2_binary32`
243×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	34
1	352	26
2	3932	26

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

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

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

simplify150.0ms (1%)

Algorithm

1×	egg-herbie

Rules

854×	`fma-def_binary32`
747×	`associate-r_binary32`
741×	`associate-l_binary32`
299×	`*-commutative_binary32`
279×	`times-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	1778
1	521	1548
2	1810	1414

Stop Event

1×	node limit

Counts

107 → 135

Calls

Call 1

Inputs
(*.f32 -1/3 u1)
(+.f32 (.f32 -1/6 (pow.f32 u1 2)) (.f32 -1/3 u1))
(+.f32 (.f32 -1/6 (pow.f32 u1 2)) (+.f32 (.f32 -1/3 u1) (*.f32 -1/9 (pow.f32 u1 3))))
(+.f32 (.f32 -1/6 (pow.f32 u1 2)) (+.f32 (.f32 -1/3 u1) (+.f32 (.f32 -1/9 (pow.f32 u1 3)) (.f32 -1/12 (pow.f32 u1 4)))))
(.f32 1/3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))
(-.f32 (.f32 1/3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (*.f32 1/3 (/.f32 1 u1)))
(-.f32 (.f32 1/3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 u1 2))) (.f32 1/3 (/.f32 1 u1))))
(-.f32 (.f32 1/3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/9 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 u1 2))) (*.f32 1/3 (/.f32 1 u1)))))
(*.f32 -1/3 (log.f32 (/.f32 -1 u1)))
(-.f32 (.f32 -1/3 (log.f32 (/.f32 -1 u1))) (.f32 1/3 (/.f32 1 u1)))
(-.f32 (.f32 -1/3 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 u1 2))) (*.f32 1/3 (/.f32 1 u1))))
(-.f32 (.f32 -1/3 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/9 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 u1 2))) (.f32 1/3 (/.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))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))

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

localize82.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
✓	0.4b	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	0.7b	(log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))

Compiler

Compiled 63 to 14 computations (77.8% saved)

series6.0ms (0%)

Counts

4 → 56

Calls

15 calls:

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

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	274	45
2	3581	29

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

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

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

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1751
1	368	1567
2	1296	1428
3	6710	1428

Stop Event

1×	node limit

Counts

229 → 180

Calls

Call 1

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

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

eval366.0ms (2.5%)

Compiler: Compiled 13879 to 9050 computations (34.8% saved)

prune248.0ms (1.7%)

Pruning

58 alts after pruning (49 fresh and 9 done)

	Pruned	Kept	Total
New	592	18	610
Fresh	3	31	34
Picked	0	1	1
Done	2	8	10
Total	597	58	655

Error

0.0b

Counts

655 → 58

Alt Table

Click to see full alt table

Status	Error	Program
	2.8b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.8b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/6)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.5b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.1b	(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	6.9b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2)))
▶	11.4b	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	3.7b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (+.f32 (.f32 -1/6 (pow.f32 u1 2)) (.f32 -1/3 u1))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	29.9b	(*.f32 (sqrt.f32 (neg.f32 0)) 1)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) 2) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
✓	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	12.0b	(+.f32 0 (*.f32 (cos.f32 (+.f32 u2 u2)) (sqrt.f32 (log1p.f32 u1))))
	7.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 -1/3 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.8b	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
	1.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
	11.9b	(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
	14.4b	(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	1.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 4) -1/4 (.f32 (.f32 u1 u1) (+.f32 (.f32 -1/3 u1) -1/2))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.3b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log.f32 (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1))))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	9.4b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	20.9b	(.f32 (exp.f32 (.f32 (log.f32 (log.f32 (+.f32 u1 1))) 1/2)) 1)
	12.0b	(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) 1)
	1.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sqrt.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1)) (sqrt.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)) -1))
✓	14.1b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	12.3b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	11.7b	(.f32 (exp.f32 (.f32 (log.f32 u1) 1/2)) 1)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1) 1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	2.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 -1/3 u1) -1/2)) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (.f32 (.f32 (PI.f32) (cbrt.f32 (*.f32 u2 u2))) (cbrt.f32 u2)))))
	12.1b	(.f32 (exp.f32 (.f32 (fma.f32 u1 (+.f32 -1/2 (*.f32 u1 5/24)) (log.f32 u1)) 1/2)) 1)
	3.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	16.9b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	3.8b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.1b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	14.8b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.3b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (+.f32 u2 u2)))))
▶	12.2b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	11.8b	(sqrt.f32 (log1p.f32 u1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	20.4b	(.f32 (exp.f32 (.f32 (log1p.f32 (-.f32 (log1p.f32 u1) 1)) 1/2)) 1)
	12.1b	(.f32 (exp.f32 (.f32 (+.f32 (log.f32 u1) (*.f32 -1/2 u1)) 1/2)) 1)
	9.0b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
	20.9b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	9.0b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
✓	7.9b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	6.8b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	7.2b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))) 1)

Compiler

Compiled 1911 to 1567 computations (18% saved)

localize108.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 62 to 21 computations (66.1% saved)

series6.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`prod-diff_binary32`
595×	`log-prod_binary32`
304×	`pow2_binary32`
261×	`pow-unpow_binary32`
217×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	285	29
2	3427	29

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

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

Outputs

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

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

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

717×	`fma-def_binary32`
355×	`*-commutative_binary32`
319×	`unswap-sqr_binary32`
290×	`associate-/r*_binary32`
286×	`times-frac_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	1739
1	474	1539
2	1658	1409
3	5948	1357

Stop Event

1×	node limit

Counts

128 → 132

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

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

localize25.0ms (0.2%)

Compiler: Compiled 20 to 9 computations (55% saved)

localize37.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(log1p.f32 u1)
✓	0.7b	(pow.f32 (log1p.f32 u1) 1/6)
✓	0.7b	(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)

Compiler

Compiled 27 to 19 computations (29.6% saved)

series16.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
5.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
2.0ms	u1	@	0	(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
1.0ms	u1	@	-inf	(pow.f32 (log1p.f32 u1) 1/6)
1.0ms	u1	@	inf	(pow.f32 (log1p.f32 u1) 1/6)

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

571×	`pow1_binary32`
542×	`add-log-exp_binary32`
542×	`expm1-log1p-u_binary32`
541×	`log1p-expm1-u_binary32`
528×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	155	11
2	1614	11

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(pow.f32 (log1p.f32 u1) 1/6)

Outputs

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

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

simplify103.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

712×	`times-frac_binary32`
692×	`associate-/r*_binary32`
613×	`distribute-rgt-in_binary32`
610×	`distribute-lft-in_binary32`
401×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	3117
1	884	2849
2	3366	2641

Stop Event

1×	node limit

Counts

62 → 84

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (*.f32 -1/6 (sqrt.f32 u1))) u1))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (.f32 -1/6 (sqrt.f32 u1))) u1) (.f32 (+.f32 (.f32 1/72 (sqrt.f32 u1)) (+.f32 (.f32 11/288 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3)))))) (pow.f32 u1 2))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (.f32 -1/6 (sqrt.f32 u1))) u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3))))) (+.f32 (.f32 -247/10368 (sqrt.f32 u1)) (+.f32 (.f32 -11/1728 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 -11/1728 (pow.f32 (.f32 1 u1) 1/3)) (.f32 -247/5184 (pow.f32 (.f32 1 u1) 1/3))))))) (pow.f32 u1 3)) (.f32 (+.f32 (.f32 1/72 (sqrt.f32 u1)) (+.f32 (.f32 11/288 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3)))))) (pow.f32 u1 2)))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/6 (*.f32 (/.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 1/18 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (/.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/3) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))))) (.f32 1/36 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/3))) (pow.f32 u1 2))) (+.f32 (.f32 -1/6 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))))
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(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 -1/3 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) u1)) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
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(pow.f32 u1 1/6)
(+.f32 (.f32 -1/12 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (pow.f32 u1 1/6))
(+.f32 (.f32 11/288 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (.f32 -1/12 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (pow.f32 u1 1/6)))
(+.f32 (.f32 11/288 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (.f32 -1/12 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (+.f32 (.f32 -247/10368 (pow.f32 (.f32 1 (pow.f32 u1 19)) 1/6)) (pow.f32 u1 1/6))))
(pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/6)
(+.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (.f32 -1/6 (*.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/6) (/.f32 1 u1))))
(+.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (/.f32 (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (.f32 -1/6 (*.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/6) (/.f32 1 u1)))))
(+.f32 (.f32 (/.f32 (-.f32 (+.f32 (.f32 1/36 (-.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 -1/72 (/.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 1/1296 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (pow.f32 u1 3)) (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6)) (+.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (/.f32 (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (.f32 -1/6 (*.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/6) (/.f32 1 u1))))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/6)
(+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/6) (.f32 1/6 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6) (/.f32 1 u1))))
(+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 (+.f32 (.f32 -1/12 (+.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 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/6) (.f32 1/6 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6) (/.f32 1 u1)))))
(+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 (+.f32 (.f32 -1/12 (+.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 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/6) (+.f32 (.f32 -1 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 (-.f32 (+.f32 (.f32 -1/36 (+.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 1/72 (/.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 1/1296 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)))) (.f32 1/6 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6) (/.f32 1 u1))))))

Outputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (*.f32 -1/6 (sqrt.f32 u1))) u1))
(+.f32 (sqrt.f32 u1) (.f32 u1 (.f32 (sqrt.f32 u1) -1/4)))
(fma.f32 u1 (*.f32 (sqrt.f32 u1) -1/4) (sqrt.f32 u1))
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(pow.f32 u1 1/6)
(+.f32 (.f32 -1/12 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (pow.f32 u1 1/6))
(fma.f32 -1/12 (pow.f32 (pow.f32 u1 7) 1/6) (pow.f32 u1 1/6))
(+.f32 (.f32 11/288 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (.f32 -1/12 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (pow.f32 u1 1/6)))
(fma.f32 11/288 (pow.f32 (pow.f32 u1 13) 1/6) (fma.f32 -1/12 (pow.f32 (pow.f32 u1 7) 1/6) (pow.f32 u1 1/6)))
(+.f32 (.f32 11/288 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (.f32 -1/12 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (+.f32 (.f32 -247/10368 (pow.f32 (.f32 1 (pow.f32 u1 19)) 1/6)) (pow.f32 u1 1/6))))
(fma.f32 11/288 (pow.f32 (pow.f32 u1 13) 1/6) (fma.f32 -1/12 (pow.f32 (pow.f32 u1 7) 1/6) (fma.f32 -247/10368 (pow.f32 (pow.f32 u1 19) 1/6) (pow.f32 u1 1/6))))
(pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/6)
(pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/6)
(pow.f32 (log.f32 u1) 1/6)
(+.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (.f32 -1/6 (*.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/6) (/.f32 1 u1))))
(+.f32 (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/6) (.f32 -1/6 (.f32 (/.f32 1 u1) (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 5)) 1/6))))
(fma.f32 -1/6 (/.f32 (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 5)) 1/6) u1) (pow.f32 (log.f32 u1) 1/6))
(+.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (/.f32 (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (.f32 -1/6 (*.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/6) (/.f32 1 u1)))))
(+.f32 (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/6) (fma.f32 (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/6) (/.f32 (+.f32 (/.f32 1/72 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 1/12 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))))) (.f32 u1 u1)) (.f32 -1/6 (.f32 (/.f32 1 u1) (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 5)) 1/6)))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 5)) 1/6) u1)) (.f32 (+.f32 (/.f32 (fma.f32 1/12 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/72 (.f32 (log.f32 u1) (log.f32 u1)))) (*.f32 u1 u1)) 1) (pow.f32 (log.f32 u1) 1/6)))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 5)) 1/6) u1)) (.f32 (+.f32 (/.f32 (fma.f32 1/12 (+.f32 (/.f32 -1 (log.f32 u1)) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/72 (.f32 (log.f32 u1) (log.f32 u1)))) (*.f32 u1 u1)) 1) (pow.f32 (log.f32 u1) 1/6)))
(+.f32 (.f32 (/.f32 (-.f32 (+.f32 (.f32 1/36 (-.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 -1/72 (/.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 1/1296 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (pow.f32 u1 3)) (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6)) (+.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (/.f32 (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (.f32 -1/6 (*.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/6) (/.f32 1 u1))))))
(fma.f32 (/.f32 (-.f32 (fma.f32 1/36 (-.f32 (/.f32 3 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (+.f32 (/.f32 2 (neg.f32 (log.f32 u1))) (/.f32 2 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (.f32 -1/72 (/.f32 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))) (neg.f32 (log.f32 u1))))) (/.f32 1/1296 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (pow.f32 u1 3)) (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/6) (+.f32 (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/6) (fma.f32 (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/6) (/.f32 (+.f32 (/.f32 1/72 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 1/12 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))))) (.f32 u1 u1)) (.f32 -1/6 (*.f32 (/.f32 1 u1) (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 5)) 1/6))))))
(+.f32 (fma.f32 -1/6 (/.f32 (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 5)) 1/6) u1) (.f32 (/.f32 (pow.f32 (log.f32 u1) 1/6) u1) (/.f32 (fma.f32 1/12 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/72 (.f32 (log.f32 u1) (log.f32 u1)))) u1))) (.f32 (+.f32 (/.f32 (fma.f32 1/36 (-.f32 (/.f32 3 (.f32 (log.f32 u1) (log.f32 u1))) (+.f32 (/.f32 2 (neg.f32 (log.f32 u1))) (/.f32 2 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (fma.f32 -1/72 (-.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (/.f32 -1/1296 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (pow.f32 u1 3)) 1) (pow.f32 (log.f32 u1) 1/6)))
(+.f32 (.f32 (pow.f32 (log.f32 u1) 1/6) (+.f32 (/.f32 (fma.f32 1/36 (+.f32 (/.f32 (/.f32 3 (log.f32 u1)) (log.f32 u1)) (-.f32 (/.f32 -2 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (/.f32 -2 (log.f32 u1)))) (fma.f32 -1/72 (+.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (/.f32 -1/1296 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (pow.f32 u1 3)) (+.f32 (/.f32 (fma.f32 1/12 (+.f32 (/.f32 -1 (log.f32 u1)) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/72 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 u1 u1)) 1))) (.f32 -1/6 (/.f32 (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 5)) 1/6) u1)))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/6)
(pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/6)
(pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/6)
(+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/6) (.f32 1/6 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6) (/.f32 1 u1))))
(+.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/6) (.f32 1/6 (.f32 (/.f32 1 u1) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 5)) 1/6))))
(fma.f32 1/6 (/.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 5)) 1/6) u1) (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/6))
(+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 (+.f32 (.f32 -1/12 (+.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 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/6) (.f32 1/6 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6) (/.f32 1 u1)))))
(fma.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/6) (/.f32 (fma.f32 -1/12 (+.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 1/72 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2))) (.f32 u1 u1)) (+.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/6) (.f32 1/6 (*.f32 (/.f32 1 u1) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 5)) 1/6)))))
(+.f32 (.f32 1/6 (/.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 5)) 1/6) u1)) (.f32 (+.f32 (/.f32 (+.f32 (+.f32 (/.f32 -1/12 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 -1/12 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 1/72 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))) (*.f32 u1 u1)) 1) (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/6)))
(+.f32 (.f32 1/6 (/.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 5)) 1/6) u1)) (.f32 (+.f32 (/.f32 (+.f32 (.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) -5/72) (/.f32 -1/12 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (.f32 u1 u1)) 1) (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/6)))
(+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 (+.f32 (.f32 -1/12 (+.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 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/6) (+.f32 (.f32 -1 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 (-.f32 (+.f32 (.f32 -1/36 (+.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 1/72 (/.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 1/1296 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)))) (.f32 1/6 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6) (/.f32 1 u1))))))
(fma.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/6) (/.f32 (fma.f32 -1/12 (+.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 1/72 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2))) (.f32 u1 u1)) (+.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/6) (fma.f32 -1 (.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/6) (/.f32 (-.f32 (fma.f32 -1/36 (+.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 1/72 (/.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 1/1296 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3))) (pow.f32 u1 3))) (.f32 1/6 (*.f32 (/.f32 1 u1) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 5)) 1/6))))))
(+.f32 (fma.f32 1/6 (/.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 5)) 1/6) u1) (/.f32 (.f32 (neg.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/6)) (fma.f32 -1/36 (+.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 1/72 (/.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 -1/1296 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3))))) (pow.f32 u1 3))) (.f32 (+.f32 (/.f32 (+.f32 (+.f32 (/.f32 -1/12 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 -1/12 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 1/72 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))) (*.f32 u1 u1)) 1) (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/6)))
(+.f32 (.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/6) (+.f32 (+.f32 (/.f32 (+.f32 (.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) -5/72) (/.f32 -1/12 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (.f32 u1 u1)) 1) (/.f32 (neg.f32 (fma.f32 -1/36 (+.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 1/72 (/.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 -1/1296 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3))))) (pow.f32 u1 3)))) (.f32 1/6 (/.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 5)) 1/6) u1)))

localize114.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 -1/3 u1) -1/2)) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	0.3b	(.f32 (.f32 u1 u1) (+.f32 (*.f32 -1/3 u1) -1/2))
✓	0.3b	(*.f32 -1/3 u1)
	0.4b	(.f32 (.f32 2 (PI.f32)) u2)

Compiler

Compiled 99 to 62 computations (37.4% saved)

series11.0ms (0.1%)

Counts

3 → 24

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 -1/3 u1) -1/2)) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 -1/3 u1) -1/2)) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 -1/3 u1) -1/2)) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 -1/3 u1) -1/2)) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.f32 (.f32 u1 u1) (+.f32 (*.f32 -1/3 u1) -1/2))

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`log-prod_binary32`
636×	`fma-def_binary32`
326×	`expm1-udef_binary32`
326×	`log1p-udef_binary32`
303×	`fma-neg_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	395	43
2	5217	43

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

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

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

751×	`fma-neg_binary32`
501×	`*-commutative_binary32`
304×	`cancel-sign-sub-inv_binary32`
290×	`distribute-rgt-in_binary32`
255×	`associate-r_binary32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	49	633
1	128	546
2	359	521
3	1636	481
4	2940	475
5	3632	472
6	5360	463
7	7816	463

Stop Event

1×	node limit

Counts

113 → 104

Calls

Call 1

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

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

localize246.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
	0.1b	(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
	0.4b	(.f32 (PI.f32) (.f32 u2 2))
✓	1.1b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

Compiler

Compiled 59 to 34 computations (42.4% saved)

series7.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	242	34
2	2713	34

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

Outputs

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

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simplify314.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

531×	`associate-l_binary32`
517×	`associate-r_binary32`
403×	`fma-def_binary32`
317×	`times-frac_binary32`
306×	`unswap-sqr_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	2240
1	311	2122
2	1050	1912
3	5539	1574

Stop Event

1×	node limit

Counts

136 → 86

Calls

Call 1

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

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

eval566.0ms (3.8%)

Compiler: Compiled 15042 to 10133 computations (32.6% saved)

prune175.0ms (1.2%)

Pruning

60 alts after pruning (49 fresh and 11 done)

	Pruned	Kept	Total
New	501	9	510
Fresh	4	40	44
Picked	0	1	1
Done	3	10	13
Total	508	60	568

Error

0.0b

Counts

568 → 60

Alt Table

Click to see full alt table

Status	Error	Program
	8.1b	(.f32 (.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/6))
	2.8b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.8b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/6)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	9.7b	(pow.f32 (pow.f32 (exp.f32 1) (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (pow.f32 (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) 2))
	6.9b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2)))
	8.5b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.1b	(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	3.7b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (+.f32 (.f32 -1/6 (pow.f32 u1 2)) (.f32 -1/3 u1))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	29.9b	(*.f32 (sqrt.f32 (neg.f32 0)) 1)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) 2) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
✓	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	12.0b	(+.f32 0 (*.f32 (cos.f32 (+.f32 u2 u2)) (sqrt.f32 (log1p.f32 u1))))
	7.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 -1/3 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.8b	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
	1.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
	11.9b	(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
	14.4b	(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	1.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 4) -1/4 (.f32 (.f32 u1 u1) (+.f32 (.f32 -1/3 u1) -1/2))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.3b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log.f32 (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1))))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sqrt.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1)) (sqrt.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)) -1))
	11.4b	(*.f32 (sqrt.f32 u1) 1)
✓	9.4b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	12.3b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))
✓	14.1b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	11.7b	(.f32 (exp.f32 (.f32 (log.f32 u1) 1/2)) 1)
	12.0b	(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) 1)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1) 1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	2.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 -1/3 u1) -1/2)) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.1b	(sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2))))
	3.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (.f32 (.f32 (PI.f32) (cbrt.f32 (*.f32 u2 u2))) (cbrt.f32 u2)))))
	12.1b	(.f32 (exp.f32 (.f32 (fma.f32 u1 (+.f32 -1/2 (*.f32 u1 5/24)) (log.f32 u1)) 1/2)) 1)
	16.9b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	3.8b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	20.9b	(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 1/6) 3) 1)
	15.1b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	14.8b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.3b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (+.f32 u2 u2)))))
✓	12.2b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	11.8b	(sqrt.f32 (log1p.f32 u1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	20.4b	(.f32 (exp.f32 (.f32 (log1p.f32 (-.f32 (log1p.f32 u1) 1)) 1/2)) 1)
	12.1b	(.f32 (exp.f32 (.f32 (+.f32 (log.f32 u1) (*.f32 -1/2 u1)) 1/2)) 1)
	9.0b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
	20.9b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
✓	6.8b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	7.2b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	7.9b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.8b	(*.f32 (pow.f32 (pow.f32 u1 1/6) 3) 1)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	2.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 -1/3 u1) -1/2)) u1))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))
	9.0b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)

Compiler

Compiled 1072 to 871 computations (18.8% saved)

regimes1.2s (7.8%)

Counts

87 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 0)) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 u1 1/6) 3) 1)
(.f32 (exp.f32 (.f32 (log.f32 u1) 1/2)) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
(.f32 (exp.f32 (.f32 (+.f32 (log.f32 u1) (*.f32 -1/2 u1)) 1/2)) 1)
(sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))) 1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 1/6) 3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2)))
(+.f32 0 (*.f32 (cos.f32 (+.f32 u2 u2)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (exp.f32 (.f32 (log.f32 (log.f32 (+.f32 u1 1))) 1/2)) 1)
(.f32 (exp.f32 (.f32 (log1p.f32 (-.f32 (log1p.f32 u1) 1)) 1/2)) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 -1/3 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (fma.f32 u1 (+.f32 -1/2 (*.f32 u1 5/24)) (log.f32 u1)) 1/2)) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/6)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 -1/3 u1) -1/2)) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) 1)
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1) 1))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (+.f32 (.f32 -1/6 (pow.f32 u1 2)) (.f32 -1/3 u1))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (+.f32 u2 u2)))))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 -1/3 u1) -1/2)) u1))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 4) -1/4 (.f32 (.f32 u1 u1) (+.f32 (.f32 -1/3 u1) -1/2))) u1))) (cos.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 -1/2 (.f32 u1 -1/3)))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(.f32 (.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (.f32 (.f32 (PI.f32) (cbrt.f32 (*.f32 u2 u2))) (cbrt.f32 u2)))))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log.f32 (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1))))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sqrt.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1)) (sqrt.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)) -1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 2) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 2)) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) 2) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) 2) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(pow.f32 (pow.f32 (exp.f32 1) (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (pow.f32 (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 2)))))

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

Calls

17 calls:

121.0ms	(-.f32 1 u1)
116.0ms	(-.f32 1 u1)
98.0ms	cosTheta_i
98.0ms	(log.f32 (-.f32 1 u1))
95.0ms	(log.f32 (-.f32 1 u1))

Results

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

Compiler

Compiled 1516 to 915 computations (39.6% saved)

regimes540.0ms (3.6%)

Counts

35 → 2

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 0)) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 u1 1/6) 3) 1)
(.f32 (exp.f32 (.f32 (log.f32 u1) 1/2)) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
(.f32 (exp.f32 (.f32 (+.f32 (log.f32 u1) (*.f32 -1/2 u1)) 1/2)) 1)
(sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))) 1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 1/6) 3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2)))
(+.f32 0 (*.f32 (cos.f32 (+.f32 u2 u2)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (exp.f32 (.f32 (log.f32 (log.f32 (+.f32 u1 1))) 1/2)) 1)
(.f32 (exp.f32 (.f32 (log1p.f32 (-.f32 (log1p.f32 u1) 1)) 1/2)) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 -1/3 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (fma.f32 u1 (+.f32 -1/2 (*.f32 u1 5/24)) (log.f32 u1)) 1/2)) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/6)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 -1/3 u1) -1/2)) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) 1)
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) 1)

Outputs

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

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2)))

Calls

15 calls:

164.0ms	(neg.f32 (log.f32 (-.f32 1 u1)))
71.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
49.0ms	(log.f32 (-.f32 1 u1))
33.0ms	(.f32 (.f32 2 (PI.f32)) u2)
31.0ms	(.f32 (.f32 2 (PI.f32)) u2)

Results

Error	Segments	Branch
2.5b	1	`cosTheta_i`
2.5b	1	`u1`
1.3b	2	`u2`
2.5b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
2.5b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
2.5b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
2.5b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
2.5b	1	`(log.f32 (-.f32 1 u1))`
2.5b	1	`(log.f32 (-.f32 1 u1))`
2.5b	1	`(-.f32 1 u1)`
2.5b	1	`(-.f32 1 u1)`
1.3b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.3b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.3b	2	`(.f32 (.f32 2 (PI.f32)) u2)`
1.3b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 469 to 351 computations (25.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999988675117493	0.999998927116394

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes841.0ms (5.6%)

Counts

31 → 2

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 0)) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 u1 1/6) 3) 1)
(.f32 (exp.f32 (.f32 (log.f32 u1) 1/2)) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
(.f32 (exp.f32 (.f32 (+.f32 (log.f32 u1) (*.f32 -1/2 u1)) 1/2)) 1)
(sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))) 1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 1/6) 3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2)))
(+.f32 0 (*.f32 (cos.f32 (+.f32 u2 u2)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (exp.f32 (.f32 (log.f32 (log.f32 (+.f32 u1 1))) 1/2)) 1)
(.f32 (exp.f32 (.f32 (log1p.f32 (-.f32 (log1p.f32 u1) 1)) 1/2)) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 -1/3 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (fma.f32 u1 (+.f32 -1/2 (*.f32 u1 5/24)) (log.f32 u1)) 1/2)) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/6)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))

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

Calls

15 calls:

177.0ms	(-.f32 1 u1)
107.0ms	u2
75.0ms	(.f32 (.f32 2 (PI.f32)) u2)
57.0ms	(-.f32 1 u1)
54.0ms	u1

Results

Error	Segments	Branch
3.7b	1	`cosTheta_i`
2.2b	2	`u1`
1.8b	2	`u2`
2.2b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
2.2b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
2.2b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
2.2b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
2.2b	2	`(log.f32 (-.f32 1 u1))`
2.2b	2	`(log.f32 (-.f32 1 u1))`
2.2b	2	`(-.f32 1 u1)`
2.2b	2	`(-.f32 1 u1)`
1.8b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.8b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.8b	2	`(.f32 (.f32 2 (PI.f32)) u2)`
1.8b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 409 to 314 computations (23.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999977946281433	0.9999982118606567

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes480.0ms (3.2%)

Counts

28 → 2

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 0)) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 u1 1/6) 3) 1)
(.f32 (exp.f32 (.f32 (log.f32 u1) 1/2)) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
(.f32 (exp.f32 (.f32 (+.f32 (log.f32 u1) (*.f32 -1/2 u1)) 1/2)) 1)
(sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1))) 1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 1/6) 3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2)))
(+.f32 0 (*.f32 (cos.f32 (+.f32 u2 u2)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (exp.f32 (.f32 (log.f32 (log.f32 (+.f32 u1 1))) 1/2)) 1)
(.f32 (exp.f32 (.f32 (log1p.f32 (-.f32 (log1p.f32 u1) 1)) 1/2)) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 -1/3 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (fma.f32 u1 (+.f32 -1/2 (*.f32 u1 5/24)) (log.f32 u1)) 1/2)) 1)

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

Calls

15 calls:

50.0ms	(.f32 (.f32 2 (PI.f32)) u2)
49.0ms	(.f32 (.f32 2 (PI.f32)) u2)
41.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
41.0ms	u1
38.0ms	(-.f32 1 u1)

Results

Error	Segments	Branch
6.8b	1	`cosTheta_i`
3.7b	2	`u1`
2.9b	2	`u2`
3.7b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
3.7b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
3.7b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
3.7b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
3.7b	2	`(log.f32 (-.f32 1 u1))`
3.7b	2	`(log.f32 (-.f32 1 u1))`
3.7b	2	`(-.f32 1 u1)`
3.7b	2	`(-.f32 1 u1)`
2.9b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.9b	2	`(cos.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 359 to 277 computations (22.8% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.007520772982388735	0.007652529049664736

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes370.0ms (2.5%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

15 calls:

39.0ms	u1
37.0ms	u2
34.0ms	(.f32 (.f32 2 (PI.f32)) u2)
28.0ms	(.f32 (.f32 2 (PI.f32)) u2)
25.0ms	(-.f32 1 u1)

Results

Error	Segments	Branch
6.8b	1	`cosTheta_i`
3.7b	2	`u1`
2.9b	2	`u2`
3.7b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
3.7b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
3.7b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
3.7b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
3.7b	2	`(log.f32 (-.f32 1 u1))`
3.7b	2	`(log.f32 (-.f32 1 u1))`
3.7b	2	`(-.f32 1 u1)`
3.7b	2	`(-.f32 1 u1)`
2.9b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.9b	2	`(cos.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 331 to 256 computations (22.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999707341194153	0.9999717473983765

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes188.0ms (1.3%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

11 calls:

24.0ms	u1
24.0ms	cosTheta_i
24.0ms	u2
14.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
14.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))

Results

Error	Segments	Branch
6.8b	1	`cosTheta_i`
6.8b	1	`u1`
6.8b	1	`u2`
6.8b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
6.8b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
6.8b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
6.8b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
6.8b	1	`(log.f32 (-.f32 1 u1))`
6.8b	1	`(log.f32 (-.f32 1 u1))`
6.8b	1	`(-.f32 1 u1)`
6.8b	1	`(-.f32 1 u1)`

Compiler

Compiled 286 to 220 computations (23.1% saved)

regimes38.0ms (0.3%)

Accuracy

Total -18.6b remaining (-163.1%)

Threshold costs -18.6b (-163.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	u2
12.0ms	cosTheta_i
10.0ms	u1

Results

Error	Segments	Branch
11.4b	1	`cosTheta_i`
11.4b	1	`u1`
11.4b	1	`u2`

Compiler

Compiled 52 to 43 computations (17.3% saved)

simplify34.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

44×	`distribute-rgt-neg-in_binary32`
33×	`cancel-sign-sub-inv_binary32`
30×	`*-commutative_binary32`
30×	`distribute-lft-neg-in_binary32`
28×	`distribute-lft-neg-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	253
1	102	253
2	154	253
3	233	249
4	308	249
5	371	249
6	399	249
7	403	249

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 8388599/8388608) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 -1/3 u1) -1/2)) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 8388591/8388608) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 4080219/536870912) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))) (.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 -1/3 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 16776729/16777216) (.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 u1) 1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 8388599/8388608) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 -1/3 u1) -1/2)) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 8388599/8388608) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1)))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 8388599/8388608) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (neg.f32 (+.f32 (.f32 u1 -1/3) -1/2)))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 8388599/8388608) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 8388599/8388608) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (-.f32 1/2 (.f32 u1 -1/3)))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 8388591/8388608) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 8388591/8388608) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 8388591/8388608) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 u1 (.f32 (neg.f32 u1) -1/2))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 8388591/8388608) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 u1 (.f32 u1 1/2))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 4080219/536870912) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))) (.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 -1/3 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 4080219/536870912) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (.f32 -3 (.f32 u1 -1/3)))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 4080219/536870912) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (.f32 (.f32 u1 -1/3) -3))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 16776729/16777216) (.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 16776729/16777216) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 u1)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 u1) 1)
(sqrt.f32 u1)

Compiler

Compiled 171 to 134 computations (21.6% saved)

soundness24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

40×	`fma-neg_binary32`
22×	`sub-neg_binary32`
17×	`cancel-sign-sub-inv_binary32`
15×	`fma-def_binary32`
11×	`*-commutative_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

Stop Event

1×

saturated

Compiler

Compiled 64 to 56 computations (12.5% saved)

end70.0ms (0.5%)

Compiler: Compiled 153 to 82 computations (46.4% saved)

Iter	Nodes	Cost
0	30	88
1	59	84
2	98	84
3	124	84
4	155	84
5	191	84
6	231	84
7	319	84
8	491	84
9	532	84
10	586	84
11	636	84
12	727	84
13	774	84
14	792	84
15	795	84
0	3	3

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

Iter	Nodes	Cost
0	30	88
1	59	84
2	98	84
3	124	84
4	155	84
5	191	84
6	231	84
7	319	84
8	491	84
9	532	84
10	586	84
11	636	84
12	727	84
13	774	84
14	792	84
15	795	84
0	3	3

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

Iter	Nodes	Cost
0	30	88
1	59	84
2	98	84
3	124	84
4	155	84
5	191	84
6	231	84
7	319	84
8	491	84
9	532	84
10	586	84
11	636	84
12	727	84
13	774	84
14	792	84
15	795	84
0	3	3

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21