Details

analyze251.0ms (1.5%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample3.5s (20.8%)

Results

3.5s

8256×

body

256

valid

Bogosity

preprocess89.0ms (0.5%)

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

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify26.0ms (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

Counts

1 → 2

Calls

Call 1

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

Outputs

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

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

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

eval2.0ms (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

0.5b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	14.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize169.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	15.1b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series89.0ms (0.5%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
60.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
5.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
5.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
4.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
3.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite114.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (neg.f32 u1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 2 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) (.f32 2 (log.f32 (cbrt.f32 (-.f32 1 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 (log.f32 (sqrt.f32 (-.f32 1 u1))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (log.f32 (neg.f32 (+.f32 1 (fma.f32 u1 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 (-.f32 1 (.f32 u1 u1)))) (log.f32 (neg.f32 (+.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 1 (pow.f32 (neg.f32 u1) 3))) (log.f32 (+.f32 1 (-.f32 (pow.f32 (neg.f32 u1) 2) (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 (neg.f32 u1) 2))) (log.f32 (-.f32 1 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2)) (log.f32 (cbrt.f32 (-.f32 1 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 (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 2 (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) (neg.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (cbrt.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 (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 (log.f32 (cbrt.f32 (-.f32 1 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 (pow.f32 (cbrt.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 (pow.f32 (cbrt.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))))))
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simplify105.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	1869
1	493	1677
2	1721	1552
3	5762	1468

Stop Event

1×	node limit

Counts

186 → 190

Calls

Call 1

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

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

localize68.0ms (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	(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	0.3b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Compiler

Compiled 47 to 19 computations (59.6% saved)

series28.0ms (0.2%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
12.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
4.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
2.0ms	u1	@	inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
2.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	265	37
2	3232	37

Stop Event

1×	node limit

Counts

4 → 89

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1))))))
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simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	2256
1	514	1938
2	1841	1770
3	5500	1665

Stop Event

1×	node limit

Counts

141 → 142

Calls

Call 1

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

eval357.0ms (2.1%)

Compiler: Compiled 8048 to 5688 computations (29.3% saved)

prune263.0ms (1.6%)

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	299	33	332
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	299	35	334

Error

0.1b

Counts

334 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	7.5b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	1.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	20.7b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) (.f32 2 (PI.f32))))))
	8.9b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	3.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 (.f32 u1 -1/2) -1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.5b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/4) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	0.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	6.9b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.5b	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	7.8b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	12.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	8.2b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
▶	1.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	8.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
	1.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	7.6b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
▶	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 2 u2)))
	15.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	7.5b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
✓	14.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
	16.0b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.0b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	2.5b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	14.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.5b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Compiler

Compiled 1209 to 1047 computations (13.4% saved)

localize172.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 64 to 30 computations (53.1% saved)

series10.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	0	(expm1.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

rewrite118.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`prod-diff_binary32`
618×	`log-prod_binary32`
304×	`pow2_binary32`
282×	`pow-unpow_binary32`
217×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	287	39
2	3430	39

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify124.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

879×	`fma-def_binary32`
517×	`associate-/l/_binary32`
431×	`*-commutative_binary32`
320×	`unswap-sqr_binary32`
314×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	1742
1	473	1560
2	1659	1429
3	5461	1344

Stop Event

1×	node limit

Counts

120 → 119

Calls

Call 1

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

Outputs
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (.f32 u1 u1) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1)))) (.f32 -1/2 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (/.f32 (.f32 u1 u1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (/.f32 (sqrt.f32 -1) u1))) (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2)))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (+.f32 -1/2 (/.f32 -1/2 (/.f32 u1 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (.f32 u1 u1) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))
(+.f32 (fma.f32 -1/2 (/.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)) (/.f32 (pow.f32 u1 3) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1)))) (.f32 -1/2 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (/.f32 (.f32 u1 u1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 -1/2 (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (/.f32 (sqrt.f32 -1) u1))) (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2)))) (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2) (pow.f32 u1 3)) (*.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) (+.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (/.f32 (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3) u1))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(.f32 (neg.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u1 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))))
(-.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 -1/2 (/.f32 u1 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
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(fma.f32 (pow.f32 u2 3) (.f32 -4/3 (pow.f32 (PI.f32) 3)) (fma.f32 (pow.f32 (PI.f32) 5) (.f32 4/15 (pow.f32 u2 5)) (.f32 (PI.f32) (.f32 2 u2))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 (.f32 4/15 (pow.f32 u2 5)) (pow.f32 (PI.f32) 5) (.f32 (pow.f32 (PI.f32) 7) (*.f32 -8/315 (pow.f32 u2 7))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 (PI.f32) 7) (*.f32 -8/315 (pow.f32 u2 7))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(.f32 2 (+.f32 (.f32 u2 (PI.f32)) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(.f32 2 (fma.f32 u2 (PI.f32) (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2)))))
(.f32 2 (.f32 (+.f32 (.f32 u2 (PI.f32)) 1) (.f32 u2 (PI.f32))))
(.f32 2 (.f32 u2 (+.f32 (PI.f32) (*.f32 u2 (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 3)) (.f32 -4/3 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3)) (.f32 2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(.f32 2 (+.f32 (.f32 u2 (PI.f32)) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(.f32 2 (fma.f32 u2 (PI.f32) (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2)))))
(.f32 2 (.f32 (+.f32 (.f32 u2 (PI.f32)) 1) (.f32 u2 (PI.f32))))
(.f32 2 (.f32 u2 (+.f32 (PI.f32) (*.f32 u2 (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 -8/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4)) (+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 3)) (.f32 -4/3 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3)) (.f32 2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
(fma.f32 (.f32 (pow.f32 (PI.f32) 4) -2) (pow.f32 u2 4) (fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 (.f32 (pow.f32 (PI.f32) 3) 0) (pow.f32 u2 3) (.f32 2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))))
(fma.f32 (.f32 (pow.f32 (PI.f32) 4) -2) (pow.f32 u2 4) (+.f32 (.f32 2 (fma.f32 u2 (PI.f32) (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))))) (*.f32 (pow.f32 u2 3) 0)))
(fma.f32 (.f32 (pow.f32 (PI.f32) 4) -2) (pow.f32 u2 4) (fma.f32 2 (.f32 (+.f32 (.f32 u2 (PI.f32)) 1) (.f32 u2 (PI.f32))) 0))
(fma.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) -2) (.f32 2 (.f32 u2 (+.f32 (PI.f32) (.f32 u2 (pow.f32 (PI.f32) 2))))))
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))

localize101.0ms (0.6%)

Local error

Found 4 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))))
✓	0.3b	(.f32 (PI.f32) (.f32 2 u2))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 2 u2)))

Compiler

Compiled 40 to 18 computations (55% saved)

series59.0ms (0.4%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
51.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 2 u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 2 u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 2 u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 2 u2)))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 2 u2)))

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

970×	`pow1_binary32`
893×	`add-log-exp_binary32`
892×	`expm1-log1p-u_binary32`
891×	`log1p-expm1-u_binary32`
120×	`associate-r_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	244	26
2	2991	26

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs

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

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

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

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1404
1	367	1218
2	1456	1136

Stop Event

1×	node limit

Counts

105 → 104

Calls

Call 1

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

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

localize62.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 25 computations (44.4% saved)

series30.0ms (0.2%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	u2	@	inf	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
6.0ms	u1	@	-inf	(pow.f32 (log1p.f32 u1) 3/2)
2.0ms	u1	@	inf	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	0	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	inf	(pow.f32 (log1p.f32 u1) 3/2)

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	265	23
2	3049	23

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 3/2) (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1))))))

simplify70.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

813×	`fma-def_binary32`
697×	`associate-r_binary32`
680×	`associate-l_binary32`
462×	`associate-/r*_binary32`
441×	`times-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	2046
1	629	1858
2	2060	1637

Stop Event

1×	node limit

Counts

69 → 87

Calls

Call 1

Inputs
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))))
(+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(sqrt.f32 (pow.f32 u1 3))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (*.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))) (.f32 19/32 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (.f32 -63/128 (sqrt.f32 (pow.f32 u1 9))) (*.f32 19/32 (sqrt.f32 (pow.f32 u1 7))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 (/.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (/.f32 (.f32 (-.f32 (+.f32 (.f32 -9/8 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/4 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 9/16 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (sqrt.f32 -1)) (pow.f32 u1 3)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (/.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))))
(sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2)))))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 -1 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (-.f32 (+.f32 (.f32 -1/4 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 9/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 9/16 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2))))))

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

localize77.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 79 to 26 computations (67.1% saved)

series64.0ms (0.4%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
54.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	333	36
2	4264	36

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

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

Outputs

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

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

simplify121.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

690×	`fma-def_binary32`
537×	`div-sub_binary32`
489×	`associate-r_binary32`
480×	`associate-l_binary32`
224×	`*-commutative_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1742
1	471	1332
2	1591	1176
3	7361	1176

Stop Event

1×	node limit

Counts

200 → 218

Calls

Call 1

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

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

localize94.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 29 computations (56.7% saved)

series11.0ms (0.1%)

Counts

3 → 20

Calls

12 calls:

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

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

969×	`prod-diff_binary32`
640×	`log-prod_binary32`
227×	`expm1-udef_binary32`
227×	`log1p-udef_binary32`
223×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	333	29
2	3690	29

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

Outputs

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

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

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1350
1	370	1180
2	1310	1068
3	5567	988

Stop Event

1×	node limit

Counts

100 → 106

Calls

Call 1

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

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

eval606.0ms (3.6%)

Compiler: Compiled 21981 to 13343 computations (39.3% saved)

prune216.0ms (1.3%)

Pruning

55 alts after pruning (50 fresh and 5 done)

	Pruned	Kept	Total
New	787	37	824
Fresh	15	13	28
Picked	0	1	1
Done	2	4	6
Total	804	55	859

Error

0.1b

Counts

859 → 55

Alt Table

Click to see full alt table

Status	Error	Program
	7.5b	(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
	7.5b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	6.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2))
	6.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3))
	3.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 (.f32 u1 -1/2) -1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	5.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 2 (.f32 u2 (+.f32 (PI.f32) (.f32 u2 (pow.f32 (PI.f32) 2)))))))
	3.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.5b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/4) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	7.9b	(.f32 (cbrt.f32 (exp.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (exp.f32 (log.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
	14.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2)))))
	15.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	6.9b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	11.4b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 2 u2)))))
	7.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 (PI.f32) (.f32 2 u2)))
	7.8b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	12.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)))
	12.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	6.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 2 u2)))))
	7.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (.f32 (PI.f32) (*.f32 2 u2)))
	11.0b	(.f32 (.f32 u2 (*.f32 2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
✓	1.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	11.0b	(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
	7.5b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
	8.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
	6.1b	(.f32 (.f32 u2 (PI.f32)) (.f32 2 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
✓	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 2 u2)))
▶	10.5b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 (PI.f32) (*.f32 2 u2)))
	15.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	11.0b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (.f32 (PI.f32) (*.f32 2 u2)))
✓	14.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	1.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	17.3b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2)))))))
	7.6b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
▶	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2))))))
▶	11.0b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 (PI.f32) (*.f32 2 u2)))
	2.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	11.0b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 2)))
	6.9b	(.f32 (cbrt.f32 (pow.f32 u1 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	7.5b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.2b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 (log1p.f32 u1))) (log1p.f32 (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	11.0b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 2 u2)))) 2)
	8.2b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.0b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.0b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 2 u2)))) 3)
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.2b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)))

Compiler

Compiled 1848 to 1566 computations (15.3% saved)

localize104.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f32 3 (log1p.f32 (neg.f32 u1)))
	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.5b	(.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1))))

Compiler

Compiled 73 to 46 computations (37% saved)

series7.0ms (0%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	inf	(*.f32 3 (log1p.f32 (neg.f32 u1)))
1.0ms	u1	@	-inf	(*.f32 3 (log1p.f32 (neg.f32 u1)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	34
1	352	26
2	3930	26

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

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

simplify126.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

879×	`fma-def_binary32`
430×	`fma-neg_binary32`
388×	`*-commutative_binary32`
338×	`sub-neg_binary32`
266×	`times-frac_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	1821
1	550	1599
2	1896	1475
3	6393	1473

Stop Event

1×	node limit

Counts

107 → 137

Calls

Call 1

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

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

localize149.0ms (0.9%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 17 computations (50% saved)

series9.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite112.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`pow1_binary32`
809×	`add-log-exp_binary32`
808×	`log1p-expm1-u_binary32`
808×	`expm1-log1p-u_binary32`
791×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	229	13
2	2540	13

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	156
1	16	156
2	37	156
3	77	156
4	83	156

Stop Event

1×

saturated

Counts

25 → 15

Calls

Call 1

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

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

localize196.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f32 (log1p.f32 u1) 1/4)
	0.3b	(.f32 (PI.f32) (.f32 2 u2))
✓	0.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 (PI.f32) (*.f32 2 u2)))
✓	0.5b	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)

Compiler

Compiled 40 to 26 computations (35% saved)

series74.0ms (0.4%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	u2	@	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 (PI.f32) (*.f32 2 u2)))
5.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
4.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
3.0ms	u1	@	inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 (PI.f32) (*.f32 2 u2)))
3.0ms	u1	@	-inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 (PI.f32) (*.f32 2 u2)))

rewrite101.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`log-prod_binary32`
420×	`exp-prod_binary32`
389×	`pow-prod-down_binary32`
288×	`pow2_binary32`
267×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	252	26
2	2860	26

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

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 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(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 (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) 1/8) (pow.f32 (log1p.f32 u1) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 3/8) (pow.f32 (log1p.f32 u1) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 5/6) (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 log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (log1p.f32 u1))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1) 1))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/12) (pow.f32 (log1p.f32 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (log1p.f32 u1) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (log1p.f32 u1) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3/4 (log.f32 (log1p.f32 u1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (log1p.f32 u1))) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/8 (log.f32 (log1p.f32 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/8) 2))))))

simplify165.0ms (1%)

Algorithm

1×	egg-herbie

Rules

868×	`times-frac_binary32`
695×	`associate-/r*_binary32`
690×	`associate-/l*_binary32`
346×	`distribute-rgt-in_binary32`
344×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	259	2900
1	826	2654
2	2999	2408

Stop Event

1×	node limit

Counts

125 → 145

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
(+.f32 (.f32 (+.f32 (.f32 23/192 (sqrt.f32 u1)) (.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)))
(+.f32 (.f32 (+.f32 (.f32 -39/512 (sqrt.f32 u1)) (.f32 -23/1536 (sqrt.f32 u1))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 (.f32 23/192 (sqrt.f32 u1)) (.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))))
(*.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 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.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))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 (+.f32 (.f32 -1/32 (/.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 1/24 (-.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 1/384 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (pow.f32 u1 3)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.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))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (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 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2)))) (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (.f32 -1/8 (+.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 1/32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2)))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 2 (.f32 (-.f32 (+.f32 (.f32 -1/24 (+.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 1/32 (/.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 1/384 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (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 -1/8 (+.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 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))))))) (pow.f32 u1 3))) (+.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (.f32 -1/8 (+.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 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2)))) (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 (/.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 -1 (.f32 (/.f32 (.f32 u2 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (PI.f32))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (/.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 -1 (.f32 (/.f32 (.f32 u2 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (PI.f32))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (/.f32 (.f32 u2 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (PI.f32))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))) (.f32 (/.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 u2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 u2 (PI.f32)))) (.f32 (/.f32 (.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 u2 (PI.f32)))) (+.f32 (.f32 (/.f32 (.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 u2 (.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)) (PI.f32))) (pow.f32 u1 2))))))
(+.f32 (.f32 (/.f32 (.f32 u2 (.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))))) (PI.f32))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (+.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 u2 (PI.f32)))) (+.f32 (.f32 (/.f32 (.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 u2 (.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)) (PI.f32))) (pow.f32 u1 2)))))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(pow.f32 u1 1/4)
(+.f32 (pow.f32 u1 1/4) (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)))
(+.f32 (pow.f32 u1 1/4) (+.f32 (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (.f32 23/384 (pow.f32 (.f32 1 (pow.f32 u1 9)) 1/4))))
(+.f32 (pow.f32 u1 1/4) (+.f32 (.f32 -39/1024 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/4)) (+.f32 (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (.f32 23/384 (pow.f32 (.f32 1 (pow.f32 u1 9)) 1/4)))))
(pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4)
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4)))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (-.f32 (+.f32 (.f32 -1/32 (/.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 1/24 (-.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 1/384 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4)
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4))
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4) (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4) (/.f32 (+.f32 (.f32 -1/8 (+.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 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4) (/.f32 (+.f32 (.f32 -1/8 (+.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 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (.f32 -1 (.f32 (/.f32 (-.f32 (+.f32 (.f32 -1/24 (+.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 1/32 (/.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 1/384 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)) (pow.f32 (.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4))))))

Outputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
(fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))
(fma.f32 -1/4 (pow.f32 u1 3/2) (sqrt.f32 u1))
(+.f32 (.f32 (+.f32 (.f32 23/192 (sqrt.f32 u1)) (.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 u1) 13/96) (.f32 u1 u1) (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 u1) 13/96) (.f32 u1 u1) (fma.f32 -1/4 (pow.f32 u1 3/2) (sqrt.f32 u1)))
(+.f32 (.f32 (+.f32 (.f32 -39/512 (sqrt.f32 u1)) (.f32 -23/1536 (sqrt.f32 u1))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 (.f32 23/192 (sqrt.f32 u1)) (.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))))
(fma.f32 (.f32 (sqrt.f32 u1) -35/384) (pow.f32 u1 3) (fma.f32 (.f32 (sqrt.f32 u1) 13/96) (*.f32 u1 u1) (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))))
(fma.f32 (pow.f32 u1 3) (.f32 (sqrt.f32 u1) -35/384) (fma.f32 (.f32 (sqrt.f32 u1) 13/96) (*.f32 u1 u1) (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))))
(+.f32 (fma.f32 -1/4 (pow.f32 u1 3/2) (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) (+.f32 (.f32 13/96 (.f32 u1 u1)) (.f32 -35/384 (pow.f32 u1 3)))))
(*.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 (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 (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 (log.f32 u1))) (/.f32 (.f32 -1/2 (sqrt.f32 -1)) u1)))
(+.f32 (.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.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))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (/.f32 1/32 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 1/8 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2)))))) (.f32 u1 u1))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))))
(fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (sqrt.f32 -1) (.f32 2 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 1/8 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/32 (*.f32 (log.f32 u1) (log.f32 u1)))) u1)))))))
(fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (+.f32 (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 (.f32 -1/2 (sqrt.f32 -1)) u1)) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (sqrt.f32 -1) (.f32 2 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 1/8 (+.f32 (/.f32 -1 (log.f32 u1)) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/32 (*.f32 (log.f32 u1) (log.f32 u1)))) u1)))))))
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(fma.f32 -1/8 (pow.f32 (pow.f32 u1 5) 1/4) (pow.f32 u1 1/4))
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(+.f32 (pow.f32 u1 1/4) (fma.f32 -1/8 (pow.f32 (pow.f32 u1 5) 1/4) (*.f32 23/384 (pow.f32 (pow.f32 u1 9) 1/4))))
(+.f32 (fma.f32 -1/8 (pow.f32 (pow.f32 u1 5) 1/4) (pow.f32 u1 1/4)) (*.f32 23/384 (pow.f32 (pow.f32 u1 9) 1/4)))
(+.f32 (pow.f32 u1 1/4) (+.f32 (.f32 -39/1024 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/4)) (+.f32 (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (.f32 23/384 (pow.f32 (.f32 1 (pow.f32 u1 9)) 1/4)))))
(+.f32 (pow.f32 u1 1/4) (fma.f32 -39/1024 (pow.f32 (pow.f32 u1 13) 1/4) (fma.f32 -1/8 (pow.f32 (pow.f32 u1 5) 1/4) (*.f32 23/384 (pow.f32 (pow.f32 u1 9) 1/4)))))
(pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4)
(pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/4)
(pow.f32 (log.f32 u1) 1/4)
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4))
(fma.f32 -1/4 (*.f32 (/.f32 1 u1) (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3)) 1/4)) (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/4))
(fma.f32 -1/4 (/.f32 (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3)) 1/4) u1) (pow.f32 (log.f32 u1) 1/4))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4)))
(fma.f32 -1/4 (.f32 (/.f32 1 u1) (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3)) 1/4)) (fma.f32 (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/4) (/.f32 (+.f32 (/.f32 1/32 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 1/8 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))))) (*.f32 u1 u1)) (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/4)))
(fma.f32 -1/4 (/.f32 (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3)) 1/4) u1) (.f32 (+.f32 (/.f32 (fma.f32 1/8 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 u1 u1)) 1) (pow.f32 (log.f32 u1) 1/4)))
(fma.f32 -1/4 (/.f32 (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3)) 1/4) u1) (.f32 (+.f32 (/.f32 (fma.f32 1/8 (+.f32 (/.f32 -1 (log.f32 u1)) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 u1 u1)) 1) (pow.f32 (log.f32 u1) 1/4)))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (-.f32 (+.f32 (.f32 -1/32 (/.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 1/24 (-.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 1/384 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4))))
(fma.f32 -1/4 (.f32 (/.f32 1 u1) (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3)) 1/4)) (fma.f32 (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/4) (/.f32 (-.f32 (fma.f32 -1/32 (/.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 1/24 (-.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 1/384 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (pow.f32 u1 3)) (fma.f32 (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/4) (/.f32 (+.f32 (/.f32 1/32 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 1/8 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))))) (.f32 u1 u1)) (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/4))))
(+.f32 (.f32 (pow.f32 (log.f32 u1) 1/4) (+.f32 (/.f32 (fma.f32 -1/32 (-.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (fma.f32 1/24 (-.f32 (/.f32 3 (.f32 (log.f32 u1) (log.f32 u1))) (+.f32 (/.f32 2 (neg.f32 (log.f32 u1))) (/.f32 2 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (/.f32 -1/384 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (pow.f32 u1 3)) (/.f32 (fma.f32 1/8 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 u1 u1)))) (fma.f32 -1/4 (/.f32 (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3)) 1/4) u1) (pow.f32 (log.f32 u1) 1/4)))
(fma.f32 -1/4 (/.f32 (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3)) 1/4) u1) (.f32 (pow.f32 (log.f32 u1) 1/4) (+.f32 (+.f32 (/.f32 (fma.f32 1/8 (+.f32 (/.f32 -1 (log.f32 u1)) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 u1 u1)) 1) (/.f32 (fma.f32 -1/32 (-.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (fma.f32 1/24 (-.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))) (/.f32 -1/384 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (pow.f32 u1 3)))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4)
(pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/4)
(pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/4)
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4))
(fma.f32 1/4 (*.f32 (/.f32 1 u1) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)) 1/4)) (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/4))
(fma.f32 1/4 (/.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) 1/4) u1) (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/4))
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4) (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4) (/.f32 (+.f32 (.f32 -1/8 (+.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 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2)))))
(+.f32 (fma.f32 1/4 (.f32 (/.f32 1 u1) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)) 1/4)) (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/4)) (.f32 (/.f32 (fma.f32 -1/8 (+.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 1/32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2))) (*.f32 u1 u1)) (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/4)))
(fma.f32 1/4 (/.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) 1/4) u1) (.f32 (+.f32 (/.f32 (+.f32 (+.f32 (/.f32 -1/8 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 -1/8 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 1/32 (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))) 1/4)))
(fma.f32 1/4 (/.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) 1/4) u1) (.f32 (+.f32 (/.f32 (+.f32 (.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) -3/32) (/.f32 -1/8 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 u1 u1)) 1) (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/4)))
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4) (/.f32 (+.f32 (.f32 -1/8 (+.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 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (.f32 -1 (.f32 (/.f32 (-.f32 (+.f32 (.f32 -1/24 (+.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 1/32 (/.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 1/384 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)) (pow.f32 (.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4))))))
(+.f32 (fma.f32 1/4 (.f32 (/.f32 1 u1) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)) 1/4)) (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/4)) (fma.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/4) (/.f32 (fma.f32 -1/8 (+.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 1/32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2))) (.f32 u1 u1)) (neg.f32 (.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/4) (/.f32 (-.f32 (fma.f32 -1/24 (+.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 1/32 (/.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 1/384 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3))) (pow.f32 u1 3))))))
(+.f32 (fma.f32 1/4 (/.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) 1/4) u1) (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/4)) (.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/4) (+.f32 (/.f32 (+.f32 (+.f32 (/.f32 -1/8 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 -1/8 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 1/32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))) (.f32 u1 u1)) (neg.f32 (/.f32 (fma.f32 -1/24 (+.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 1/32 (/.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 -1/384 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)))) (pow.f32 u1 3))))))
(fma.f32 1/4 (/.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) 1/4) u1) (.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/4) (-.f32 (+.f32 (/.f32 (+.f32 (.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) -3/32) (/.f32 -1/8 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 u1 u1)) 1) (/.f32 (fma.f32 -1/24 (+.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 (/.f32 1/32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 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 -1/384 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)))) (pow.f32 u1 3)))))

localize164.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.5b	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)

Compiler

Compiled 47 to 27 computations (42.6% saved)

series6.0ms (0%)

Counts

1 → 20

Calls

6 calls:

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

rewrite92.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`log-prod_binary32`
584×	`prod-diff_binary32`
365×	`pow-prod-down_binary32`
319×	`pow2_binary32`
258×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	273	17
2	3099	17

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Outputs

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

simplify105.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

591×	`associate-r_binary32`
572×	`associate-l_binary32`
479×	`fma-def_binary32`
346×	`distribute-rgt-in_binary32`
341×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	1159
1	346	1068
2	1154	962
3	5825	822

Stop Event

1×	node limit

Counts

37 → 43

Calls

Call 1

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

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

localize191.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sin.f32 (.f32 2 (exp.f32 (log.f32 (.f32 (PI.f32) u2)))))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
✓	1.5b	(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))

Compiler

Compiled 62 to 21 computations (66.1% saved)

series8.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`log-prod_binary32`
565×	`prod-diff_binary32`
301×	`pow2_binary32`
273×	`pow-unpow_binary32`
214×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	288	32
2	3392	32

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

Inputs

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

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

(sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2)))))

Outputs

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

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

simplify145.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	129	1606
1	404	1436
2	1431	1316
3	4713	1232
4	7755	1230

Stop Event

1×	node limit

Counts

150 → 142

Calls

Call 1

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

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

eval590.0ms (3.5%)

Compiler: Compiled 17646 to 12389 computations (29.8% saved)

prune223.0ms (1.3%)

Pruning

61 alts after pruning (54 fresh and 7 done)

	Pruned	Kept	Total
New	635	25	660
Fresh	16	29	45
Picked	0	1	1
Done	3	6	9
Total	654	61	715

Error

0.1b

Counts

715 → 61

Alt Table

Click to see full alt table

Status	Error	Program
	12.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	7.5b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	6.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2))
	6.9b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	10.5b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2))
	6.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3))
	3.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 (.f32 u1 -1/2) -1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	5.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 2 (.f32 u2 (+.f32 (PI.f32) (.f32 u2 (pow.f32 (PI.f32) 2)))))))
	3.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	10.5b	(.f32 (pow.f32 (pow.f32 u1 1/4) 2) (.f32 (PI.f32) (*.f32 2 u2)))
	10.5b	(sqrt.f32 (.f32 u1 (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 2)))
	14.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
	7.6b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	8.2b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	7.5b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/4) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	10.6b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 2 u2)))) 3)
	7.9b	(.f32 (cbrt.f32 (exp.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (exp.f32 (log.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
	7.8b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	15.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 (PI.f32) (.f32 2 u2)))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	12.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)))
	23.7b	(-.f32 (+.f32 1 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 2 u2)))) 1)
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (+.f32 (.f32 -3/2 (pow.f32 u1 2)) (+.f32 (.f32 -1 (pow.f32 u1 3)) (.f32 -3 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	6.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 2 u2)))))
	7.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (.f32 (PI.f32) (*.f32 2 u2)))
▶	10.5b	(.f32 u2 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
	11.0b	(.f32 (.f32 u2 (*.f32 2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
	3.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 u1 (+.f32 -3 (.f32 u1 -3/2)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	7.5b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
	8.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
	6.1b	(.f32 (.f32 u2 (PI.f32)) (.f32 2 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
✓	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 2 u2)))
	12.3b	(.f32 (pow.f32 (log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4))) 2) (.f32 (PI.f32) (*.f32 2 u2)))
	3.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (+.f32 (.f32 -3/2 (pow.f32 u1 2)) (.f32 -3 u1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	15.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	11.0b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (.f32 (PI.f32) (*.f32 2 u2)))
✓	14.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	1.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	6.9b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 u1 -3)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	17.3b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2)))))))
	10.5b	(.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 2 u2)))
	10.9b	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 2 u2)))))
	1.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)))
	7.7b	(.f32 (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 5/6) (pow.f32 (log1p.f32 u1) 1/12)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.5b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.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))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	10.5b	(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 u1 3/2)))
	6.9b	(.f32 (cbrt.f32 (pow.f32 u1 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	7.5b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.2b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.0b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	10.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3))
▶	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 2010 to 1712 computations (14.8% saved)

localize151.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.8b	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)

Compiler

Compiled 67 to 36 computations (46.3% saved)

series20.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
5.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
2.0ms	u1	@	0	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`log-prod_binary32`
465×	`prod-diff_binary32`
313×	`pow2_binary32`
293×	`pow-unpow_binary32`
221×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	329	20
2	3657	20

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

simplify103.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

592×	`times-frac_binary32`
489×	`associate-/l*_binary32`
460×	`distribute-rgt-in_binary32`
455×	`distribute-lft-in_binary32`
294×	`fma-def_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	4093
1	1003	3562
2	3837	3425

Stop Event

1×	node limit

Counts

89 → 103

Calls

Call 1

Inputs
(.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (.f32 -2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1)))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 u1 2)) (pow.f32 1 1/3))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 -2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9))) (pow.f32 u1 2)) (pow.f32 (.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3)) (.f32 2/9 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9) (/.f32 1 (pow.f32 u1 2)))))))))
(+.f32 (.f32 -1/3 (.f32 (/.f32 (+.f32 (.f32 -2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9))) (pow.f32 u1 3)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/9))) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 2/9 (.f32 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 u1 3)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 5)) 1/9))) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3) (/.f32 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3) (+.f32 1/3 (+.f32 (.f32 -1/27 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/3)) (.f32 2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 5)) 1/9))))))) (.f32 2/9 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 8)) 1/9)))) (pow.f32 u1 3))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 -2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9))) (pow.f32 u1 2)) (pow.f32 (.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 1/3 (+.f32 (.f32 -1/27 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/3)) (.f32 2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 5)) 1/9))))) (pow.f32 u1 3)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 u1 2)) (pow.f32 1 1/3))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (.f32 2/9 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9) (/.f32 1 (pow.f32 u1 2)))))))))))))
(.f32 -1 (.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 1 1/3)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 (.f32 (pow.f32 (log.f32 (/.f32 -1 u1)) 4) (pow.f32 1 4)) 1/9) (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3))) (.f32 2/3 (.f32 (pow.f32 (.f32 (pow.f32 (log.f32 (/.f32 -1 u1)) 4) (pow.f32 1 4)) 1/9) (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3)))) u1)) (.f32 -1 (*.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 1 1/3))))
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(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
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(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))

Outputs
(.f32 (pow.f32 1 1/3) (+.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 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (.f32 -2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1)))))
(fma.f32 -1/3 (.f32 (/.f32 1 u1) (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18))) (+.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (.f32 (.f32 (/.f32 1 u1) (*.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18))) -2/3)))
(fma.f32 -1/3 (/.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18)) u1) (fma.f32 (/.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18)) u1) -2/3 (+.f32 (log.f32 -1) (log.f32 u1))))
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(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 -4/3 (sqrt.f32 -1)) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 (sqrt.f32 -1) (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 (PI.f32) (*.f32 2 u2))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(fma.f32 4/15 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))) (fma.f32 2 (.f32 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (fma.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (.f32 (sqrt.f32 -1) (pow.f32 u2 3)) (pow.f32 (PI.f32) 3))) (.f32 -8/315 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 -4/3 (.f32 (sqrt.f32 -1) (pow.f32 u2 3))) (pow.f32 (PI.f32) 3)) (.f32 -8/315 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)))))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 4/15 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))) (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 -1)))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))) (.f32 (sqrt.f32 -1) (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 (PI.f32) (*.f32 2 u2))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))

localize36.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 15 computations (44.4% saved)

series5.0ms (0%)

Counts

2 → 12

Calls

9 calls:

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

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`pow1_binary32`
778×	`add-log-exp_binary32`
778×	`log1p-expm1-u_binary32`
778×	`expm1-log1p-u_binary32`
760×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	182	23
2	2150	23

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	156
1	16	156
2	37	156
3	77	156
4	83	156

Stop Event

1×

saturated

Counts

38 → 28

Calls

Call 1

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

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

localize91.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 99 to 62 computations (37.4% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

12 calls:

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

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`log-prod_binary32`
639×	`fma-def_binary32`
326×	`expm1-udef_binary32`
326×	`log1p-udef_binary32`
273×	`fma-neg_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	49
1	394	43
2	5238	43

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -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 -1/3 (pow.f32 u1 3)) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u1 (*.f32 u1 -1/2)) 1) (*.f32 (*.f32 -1/3 (pow.f32 u1 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 -1/3 -1/2))) (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 -1/3 -1/2))))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 -1/3 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 -1/3 -1/2)))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 -1/3 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 u1 (*.f32 u1 -1/2)) 3) (pow.f32 (*.f32 -1/3 (pow.f32 u1 3)) 3)) (fma.f32 (*.f32 u1 (*.f32 u1 -1/2)) (*.f32 u1 (*.f32 u1 -1/2)) (-.f32 (*.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/3 (pow.f32 u1 3))) (*.f32 (*.f32 u1 (*.f32 u1 -1/2)) (*.f32 -1/3 (pow.f32 u1 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 u1 (*.f32 u1 -1/2)) (*.f32 u1 (*.f32 u1 -1/2))) (*.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/3 (pow.f32 u1 3)))) (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) (*.f32 -1/3 (pow.f32 u1 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 -1/27 (pow.f32 u1 3) -1/8) (*.f32 u1 u1)) (fma.f32 (*.f32 u1 -1/3) (fma.f32 u1 -1/3 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)) (*.f32 u1 u1)) (+.f32 -1/2 (*.f32 1/3 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u1 u1) (fma.f32 -1/27 (pow.f32 u1 3) -1/8)) (fma.f32 (*.f32 u1 -1/3) (fma.f32 u1 -1/3 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u1 u1) (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9))) (+.f32 -1/2 (*.f32 1/3 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u1 (sqrt.f32 (fma.f32 u1 -1/3 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 u1 4) (pow.f32 (fma.f32 u1 -1/3 -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 -1/3 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (exp.f32 (*.f32 -1/3 (pow.f32 u1 3))) (exp.f32 (*.f32 u1 (*.f32 u1 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (fma.f32 2 (log.f32 u1) (log.f32 (fma.f32 u1 -1/3 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (fma.f32 2 (log.f32 u1) (log.f32 (fma.f32 u1 -1/3 -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u1 (*.f32 u1 -1/2) (*.f32 -1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u1 (*.f32 u1 (*.f32 u1 -1/3)) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<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 u1 u1) -1/2 (*.f32 -1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u1 u1) (*.f32 u1 -1/3) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(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 -1/3 (pow.f32 u1 3) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u1 -1/3) (*.f32 u1 u1) (*.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 1 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 u1 -1/3)) 2) (*.f32 (cbrt.f32 (*.f32 u1 -1/3)) (*.f32 u1 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) (*.f32 u1 -1/3)) (*.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 -1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 u1 -1/3)) (*.f32 (sqrt.f32 (*.f32 u1 -1/3)) (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 u1 3) -1/3 (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u1 (*.f32 u1 -1/2)) 1 (*.f32 (*.f32 -1/3 (pow.f32 u1 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (cbrt.f32 (*.f32 u1 (*.f32 u1 -1/2))) (cbrt.f32 (*.f32 u1 (*.f32 u1 -1/2)))) (cbrt.f32 (*.f32 u1 (*.f32 u1 -1/2))) (*.f32 -1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (cbrt.f32 (*.f32 -1/3 (pow.f32 u1 3))) (cbrt.f32 (*.f32 -1/3 (pow.f32 u1 3)))) (cbrt.f32 (*.f32 -1/3 (pow.f32 u1 3))) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 -1/2))) (sqrt.f32 (*.f32 u1 (*.f32 u1 -1/2))) (*.f32 -1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 -1/3 (pow.f32 u1 3))) (sqrt.f32 (*.f32 -1/3 (pow.f32 u1 3))) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u1 (sqrt.f32 (*.f32 u1 -1/3))) (*.f32 u1 (sqrt.f32 (*.f32 u1 -1/3))) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (*.f32 u1 -1/3)) u1) (*.f32 (sqrt.f32 (*.f32 u1 -1/3)) u1) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 -1/2 u1) u1 (*.f32 -1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 u1 -1/3) u1) u1 (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 u1 u1) -1/3) u1 (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 u1 u1) (pow.f32 (cbrt.f32 (*.f32 u1 -1/3)) 2)) (cbrt.f32 (*.f32 u1 -1/3)) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 u1 u1) (sqrt.f32 (*.f32 u1 -1/3))) (sqrt.f32 (*.f32 u1 -1/3)) (*.f32 u1 (*.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 -1/2 (cbrt.f32 (pow.f32 u1 4))) (pow.f32 (cbrt.f32 u1) 2) (*.f32 -1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 u1 -1/3) (cbrt.f32 (pow.f32 u1 4))) (pow.f32 (cbrt.f32 u1) 2) (*.f32 u1 (*.f32 u1 -1/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u1 -1/3))))) (#(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 u1 -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u1 -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u1 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u1 -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -1/27 (pow.f32 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 u1 -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 -1/27 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u1 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u1 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u1 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u1 -1/3)) 1))))))

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-neg_binary32`
444×	`unswap-sqr_binary32`
412×	`distribute-rgt-in_binary32`
370×	`cancel-sign-sub-inv_binary32`
304×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	715
1	137	626
2	410	584
3	1839	560
4	2597	560
5	4079	560
6	6195	560

Stop Event

1×	node limit

Counts

125 → 106

Calls

Call 1

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

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

localize71.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 22 computations (50% saved)

series30.0ms (0.2%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
7.0ms	u1	@	0	(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
6.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
1.0ms	u1	@	inf	(cbrt.f32 (log1p.f32 u1))
1.0ms	u1	@	-inf	(cbrt.f32 (log1p.f32 u1))

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`log-prod_binary32`
584×	`prod-diff_binary32`
352×	`pow-prod-down_binary32`
319×	`pow2_binary32`
245×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	265	27
2	3058	27

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

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

simplify120.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

873×	`times-frac_binary32`
510×	`associate-/l*_binary32`
422×	`distribute-rgt-in_binary32`
420×	`distribute-lft-in_binary32`
281×	`fma-def_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	4007
1	974	3762
2	3558	3462

Stop Event

1×	node limit

Counts

99 → 121

Calls

Call 1

Inputs
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
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(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
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(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))))
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(.f32 (pow.f32 (.f32 1 (log.f32 (/.f32 1 u1))) 1/3) (cbrt.f32 -1))
(+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))) (.f32 (pow.f32 (*.f32 1 (log.f32 (/.f32 1 u1))) 1/3) (cbrt.f32 -1)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/3) (/.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) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2))))) (.f32 (pow.f32 (.f32 1 (log.f32 (/.f32 1 u1))) 1/3) (cbrt.f32 -1))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/3) (/.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) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2))))) (+.f32 (.f32 1/3 (.f32 (/.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)))))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3))) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/3))) (.f32 (pow.f32 (.f32 1 (log.f32 (/.f32 1 u1))) 1/3) (cbrt.f32 -1)))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/3)
(+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) 1/9) (/.f32 1 u1))) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/3))
(+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 -1/3 (.f32 (/.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 u1 2)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) 1/3))) (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/3)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) 1/3) (/.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)))) (pow.f32 u1 3)))) (+.f32 (.f32 -1/3 (.f32 (/.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 u1 2)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) 1/3))) (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/3))))

Outputs
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 -1))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))))
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(fma.f32 1/3 (/.f32 (.f32 (pow.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) 1/18) (pow.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) 1/18)) (/.f32 u1 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))))) (fma.f32 -1/3 (.f32 (/.f32 (fma.f32 1/3 (.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) (.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) 1/2) (pow.f32 (cbrt.f32 -1) 2)) (/.f32 (cbrt.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 u1 u1))) (*.f32 (cbrt.f32 -1) (cbrt.f32 (neg.f32 (log.f32 u1))))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/3) (/.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) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2))))) (+.f32 (.f32 1/3 (.f32 (/.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)))))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3))) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/3))) (.f32 (pow.f32 (.f32 1 (log.f32 (/.f32 1 u1))) 1/3) (cbrt.f32 -1)))))
(fma.f32 1/3 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2)) 1/18)) (.f32 (/.f32 1 u1) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))))) (fma.f32 -1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))) (/.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) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2)))) (fma.f32 1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))) (/.f32 (-.f32 1/3 (fma.f32 -2/3 (.f32 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 5)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 5)) 1/18)) (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)) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) (.f32 (.f32 1/27 (cbrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2)))) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))))) (.f32 (pow.f32 u1 3) (pow.f32 (cbrt.f32 -1) 2)))) (.f32 (cbrt.f32 -1) (cbrt.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 1/3 (.f32 (.f32 (pow.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) 1/18) (pow.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) 1/18)) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1)) (fma.f32 -1/3 (.f32 (cbrt.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 (fma.f32 1/3 (.f32 (.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18)) (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18)) 1/2) (.f32 u1 (.f32 u1 (pow.f32 (cbrt.f32 -1) 2))))) (fma.f32 1/3 (/.f32 (-.f32 1/3 (fma.f32 -2/3 (.f32 (fma.f32 1/3 (.f32 (.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18)) (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18)) 1/2) (.f32 (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 5)) 1/18) (.f32 (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 5)) 1/18) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))))) (.f32 1/27 (/.f32 (cbrt.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1)))) (pow.f32 (cbrt.f32 -1) 2))))) (/.f32 (.f32 (pow.f32 u1 3) (pow.f32 (cbrt.f32 -1) 2)) (cbrt.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1)))))) (.f32 (cbrt.f32 -1) (cbrt.f32 (neg.f32 (log.f32 u1)))))))
(+.f32 (.f32 (cbrt.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1)))) (+.f32 (.f32 (/.f32 (fma.f32 1/3 (.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) (.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) 1/2) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) -1/3) (/.f32 1/3 (/.f32 (.f32 (pow.f32 u1 3) (pow.f32 (cbrt.f32 -1) 2)) (-.f32 1/3 (fma.f32 (.f32 (.f32 -2/3 (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 5)) 1/18)) (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 5)) 1/18)) (.f32 (fma.f32 1/3 (.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) (.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) 1/2) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) (/.f32 (cbrt.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 (pow.f32 (cbrt.f32 -1) 2) 1/27)))))))) (fma.f32 1/3 (/.f32 (.f32 (pow.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) 1/18) (pow.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) 1/18)) (/.f32 u1 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))))) (.f32 (cbrt.f32 -1) (cbrt.f32 (neg.f32 (log.f32 u1))))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/3)
(cbrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))
(cbrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) 1/9) (/.f32 1 u1))) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/3))
(fma.f32 1/3 (.f32 (/.f32 1 u1) (.f32 (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) 1/18))) (cbrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))
(fma.f32 1/3 (/.f32 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) 1/18)) u1) (cbrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 -1/3 (.f32 (/.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 u1 2)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) 1/3))) (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/3)))
(fma.f32 1/3 (.f32 (/.f32 1 u1) (.f32 (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) 1/18))) (fma.f32 -1/3 (/.f32 (.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) 1/18) (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) 1/18)))) (cbrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)))) (.f32 u1 u1)) (cbrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))
(fma.f32 1/3 (/.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) 1/18)) u1) (fma.f32 -1/3 (/.f32 (fma.f32 1/3 (.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/18)) 1/2) (/.f32 (*.f32 u1 u1) (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))))) (cbrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) 1/3) (/.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)))) (pow.f32 u1 3)))) (+.f32 (.f32 -1/3 (.f32 (/.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 u1 2)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) 1/3))) (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/3))))
(fma.f32 1/3 (.f32 (/.f32 1 u1) (.f32 (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) 1/18))) (fma.f32 1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2))) (/.f32 (fma.f32 2/3 (.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) 1/18) (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) 1/18)))) (.f32 (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 5)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 5)) 1/18))) (+.f32 1/3 (.f32 -1/27 (cbrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)))))) (pow.f32 u1 3))) (fma.f32 -1/3 (/.f32 (.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) 1/18) (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) 1/18)))) (cbrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)))) (.f32 u1 u1)) (cbrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))))
(fma.f32 1/3 (/.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) 1/18)) u1) (fma.f32 1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))) (/.f32 (fma.f32 2/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 5)) 1/18) (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 5)) 1/18) (fma.f32 1/3 (.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/18)) 1/2))) (fma.f32 -1/27 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))) 1/3)) (pow.f32 u1 3))) (fma.f32 -1/3 (/.f32 (fma.f32 1/3 (.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/18)) 1/2) (/.f32 (*.f32 u1 u1) (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))))) (cbrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))))
(+.f32 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))) (+.f32 (/.f32 (.f32 -1/3 (fma.f32 1/3 (.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/18)) 1/2)) (.f32 u1 u1)) (.f32 1/3 (/.f32 (fma.f32 2/3 (.f32 (fma.f32 1/3 (.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/18)) 1/2) (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 5)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 5)) 1/18))) (fma.f32 -1/27 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))) 1/3)) (pow.f32 u1 3))))) (fma.f32 1/3 (/.f32 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) 1/18)) u1) (cbrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))))

localize78.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(pow.f32 (log1p.f32 u1) 3/2)
✓	0.3b	(.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2))
✓	0.3b	(.f32 (PI.f32) (.f32 u2 2))
✓	0.7b	(pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)

Compiler

Compiled 64 to 44 computations (31.3% saved)

series33.0ms (0.2%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	u2	@	0	(pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)
4.0ms	u1	@	-inf	(.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2))
4.0ms	u1	@	inf	(.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2))
1.0ms	u2	@	inf	(.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2))
1.0ms	u1	@	0	(.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2))

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`log-prod_binary32`
396×	`prod-diff_binary32`
380×	`pow-prod-down_binary32`
333×	`pow2_binary32`
232×	`pow-unpow_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	290	42
2	3176	41

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2) (*.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 5/2) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2) 1) (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 3 (log.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32))) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) 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 (pow.f32 (exp.f32 u2) 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 0 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 3 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))))) 1))))))

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

648×	`associate-/l*_binary32`
507×	`associate-/r*_binary32`
404×	`associate-*l/_binary32`
398×	`associate-*r/_binary32`
213×	`fma-def_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	2545
1	698	2327
2	2977	2108

Stop Event

1×	node limit

Counts

103 → 94

Calls

Call 1

Inputs
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(+.f32 (.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 (pow.f32 u2 5) (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 (+.f32 (.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 64/9 (pow.f32 (PI.f32) 7)) (.f32 2 (.f32 (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (pow.f32 u2 7)) (+.f32 (.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 (pow.f32 u2 5) (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (.f32 -16/3 (pow.f32 (PI.f32) 5))))))
(+.f32 (.f32 (pow.f32 u2 9) (+.f32 (.f32 -4/3 (.f32 (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6))) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -64/45 (pow.f32 (PI.f32) 9)) (+.f32 (.f32 -32/315 (pow.f32 (PI.f32) 9)) (.f32 2 (.f32 (+.f32 (.f32 -32/315 (pow.f32 (PI.f32) 8)) (.f32 -32/45 (pow.f32 (PI.f32) 8))) (PI.f32))))))) (+.f32 (.f32 (+.f32 (.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 64/9 (pow.f32 (PI.f32) 7)) (.f32 2 (.f32 (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (pow.f32 u2 7)) (+.f32 (.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 (pow.f32 u2 5) (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))))))
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(.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 8 (.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3))))
(+.f32 (.f32 8 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3)))) (.f32 (.f32 (pow.f32 u2 5) (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3))))
(+.f32 (.f32 (.f32 (+.f32 (.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 64/9 (pow.f32 (PI.f32) 7)) (.f32 2 (.f32 (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (pow.f32 u2 7)) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3))) (+.f32 (.f32 8 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3)))) (.f32 (.f32 (pow.f32 u2 5) (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3)))))
(+.f32 (.f32 (.f32 (+.f32 (.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 64/9 (pow.f32 (PI.f32) 7)) (.f32 2 (.f32 (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (pow.f32 u2 7)) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3))) (+.f32 (.f32 8 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3)))) (+.f32 (.f32 (.f32 (pow.f32 u2 9) (+.f32 (.f32 -4/3 (.f32 (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6))) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -64/45 (pow.f32 (PI.f32) 9)) (+.f32 (.f32 -32/315 (pow.f32 (PI.f32) 9)) (.f32 2 (.f32 (+.f32 (.f32 -32/315 (pow.f32 (PI.f32) 8)) (.f32 -32/45 (pow.f32 (PI.f32) 8))) (PI.f32))))))) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3))) (.f32 (.f32 (pow.f32 u2 5) (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3))))))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3)))
(.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (+.f32 (.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (+.f32 (.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (-.f32 (+.f32 (.f32 -1/2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (+.f32 (.f32 -2 (log.f32 (/.f32 1 u1))) (.f32 -1 (.f32 (+.f32 1 (log.f32 (/.f32 1 u1))) (log.f32 (/.f32 1 u1)))))) (pow.f32 (.f32 1/2 (.f32 (/.f32 (+.f32 (.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (+.f32 (.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (-.f32 (+.f32 (.f32 -1/2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (+.f32 (.f32 -2 (log.f32 (/.f32 1 u1))) (.f32 -1 (.f32 (+.f32 1 (log.f32 (/.f32 1 u1))) (log.f32 (/.f32 1 u1)))))) (pow.f32 (.f32 1/2 (.f32 (/.f32 (+.f32 (.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (-.f32 (+.f32 1 (+.f32 (.f32 1/3 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (+.f32 (.f32 2 (log.f32 (/.f32 1 u1))) (.f32 -1 (.f32 (log.f32 (/.f32 1 u1)) (-.f32 (.f32 -2/3 (log.f32 (/.f32 1 u1))) 1)))))) (.f32 1/2 (/.f32 (.f32 (+.f32 (.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (-.f32 (+.f32 (.f32 -1/2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (+.f32 (.f32 -2 (log.f32 (/.f32 1 u1))) (.f32 -1 (.f32 (+.f32 1 (log.f32 (/.f32 1 u1))) (log.f32 (/.f32 1 u1)))))) (pow.f32 (.f32 1/2 (.f32 (/.f32 (+.f32 (.f32 2 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) 2))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (log.f32 (/.f32 1 u1)) 3)))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))
(.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (.f32 -1/2 (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (+.f32 (.f32 -1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (.f32 -2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) u1) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (-.f32 (+.f32 (.f32 -1/2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (+.f32 (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1)) (.f32 2 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (pow.f32 (.f32 1/2 (.f32 (+.f32 (.f32 -1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (.f32 -2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (.f32 -1/2 (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (+.f32 (.f32 -1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (.f32 -2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) u1) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (-.f32 (+.f32 (.f32 -1/2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (+.f32 (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1)) (.f32 2 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (pow.f32 (.f32 1/2 (.f32 (+.f32 (.f32 -1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (.f32 -2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (+.f32 (.f32 -1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (.f32 -2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) u1) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (-.f32 (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (+.f32 1 (.f32 -2/3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (+.f32 (.f32 -1 (+.f32 (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1)) (.f32 -1/3 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))))) (.f32 1/2 (/.f32 (.f32 (+.f32 (.f32 -1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (.f32 -2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (-.f32 (+.f32 (.f32 -1/2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (+.f32 (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1)) (.f32 2 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (pow.f32 (.f32 1/2 (.f32 (+.f32 (.f32 -1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (.f32 -2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) 2))) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))))))

Outputs
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(+.f32 (.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 (pow.f32 u2 5) (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))))
(fma.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 u2 5) (*.f32 (pow.f32 (PI.f32) 5) -16)))
(fma.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) -16))
(+.f32 (.f32 (+.f32 (.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 64/9 (pow.f32 (PI.f32) 7)) (.f32 2 (.f32 (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (pow.f32 u2 7)) (+.f32 (.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 (pow.f32 u2 5) (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (.f32 -16/3 (pow.f32 (PI.f32) 5))))))
(fma.f32 (fma.f32 16/15 (pow.f32 (PI.f32) 7) (fma.f32 64/9 (pow.f32 (PI.f32) 7) (.f32 2 (.f32 (PI.f32) (.f32 (pow.f32 (PI.f32) 6) 128/45))))) (pow.f32 u2 7) (fma.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) -16))))
(fma.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (PI.f32) 6) (.f32 128/45 (PI.f32)))) (.f32 (pow.f32 (PI.f32) 7) 368/45)) (pow.f32 u2 7) (fma.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 u2 5) (*.f32 (pow.f32 (PI.f32) 5) -16))))
(fma.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 2 (pow.f32 (PI.f32) 6)) 128/45)) (.f32 (pow.f32 (PI.f32) 7) 368/45)) (pow.f32 u2 7) (fma.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) -16)))
(+.f32 (.f32 (pow.f32 u2 9) (+.f32 (.f32 -4/3 (.f32 (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6))) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -64/45 (pow.f32 (PI.f32) 9)) (+.f32 (.f32 -32/315 (pow.f32 (PI.f32) 9)) (.f32 2 (.f32 (+.f32 (.f32 -32/315 (pow.f32 (PI.f32) 8)) (.f32 -32/45 (pow.f32 (PI.f32) 8))) (PI.f32))))))) (+.f32 (.f32 (+.f32 (.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 64/9 (pow.f32 (PI.f32) 7)) (.f32 2 (.f32 (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (pow.f32 u2 7)) (+.f32 (.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 (pow.f32 u2 5) (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))))))
(fma.f32 (pow.f32 u2 9) (fma.f32 -4/3 (.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 (PI.f32) 6) 128/45)) (fma.f32 -64/45 (pow.f32 (PI.f32) 9) (fma.f32 -32/315 (pow.f32 (PI.f32) 9) (.f32 2 (.f32 (PI.f32) (.f32 (pow.f32 (PI.f32) 8) -256/315)))))) (fma.f32 (fma.f32 16/15 (pow.f32 (PI.f32) 7) (fma.f32 64/9 (pow.f32 (PI.f32) 7) (.f32 2 (.f32 (PI.f32) (.f32 (pow.f32 (PI.f32) 6) 128/45))))) (pow.f32 u2 7) (fma.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 u2 5) (*.f32 (pow.f32 (PI.f32) 5) -16)))))
(fma.f32 (pow.f32 u2 9) (fma.f32 -4/3 (.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 (PI.f32) 6) 128/45)) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 (pow.f32 (PI.f32) 8) -256/315))) (.f32 (pow.f32 (PI.f32) 9) -32/21))) (fma.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (PI.f32) 6) (.f32 128/45 (PI.f32)))) (.f32 (pow.f32 (PI.f32) 7) 368/45)) (pow.f32 u2 7) (fma.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 u2 5) (*.f32 (pow.f32 (PI.f32) 5) -16)))))
(fma.f32 (pow.f32 u2 9) (fma.f32 -4/3 (.f32 (pow.f32 (pow.f32 (PI.f32) 3) 3) 128/45) (+.f32 (.f32 2 (.f32 (pow.f32 (PI.f32) 8) (.f32 -256/315 (PI.f32)))) (.f32 (pow.f32 (PI.f32) 9) -32/21))) (fma.f32 (+.f32 (.f32 (PI.f32) (.f32 (.f32 2 (pow.f32 (PI.f32) 6)) 128/45)) (.f32 (pow.f32 (PI.f32) 7) 368/45)) (pow.f32 u2 7) (fma.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) -16))))
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(.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 8 (.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3))))
(.f32 8 (.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)))))
(.f32 8 (.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (log1p.f32 u1) 3/2))))
(+.f32 (.f32 8 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3)))) (.f32 (.f32 (pow.f32 u2 5) (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3))))
(fma.f32 8 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)))) (.f32 (.f32 (pow.f32 u2 5) (*.f32 (pow.f32 (PI.f32) 5) -16)) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3))))
(.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) (fma.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) -16))))
(.f32 (pow.f32 (log1p.f32 u1) 3/2) (fma.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) -16)))
(+.f32 (.f32 (.f32 (+.f32 (.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 64/9 (pow.f32 (PI.f32) 7)) (.f32 2 (.f32 (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (pow.f32 u2 7)) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3))) (+.f32 (.f32 8 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3)))) (.f32 (.f32 (pow.f32 u2 5) (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))) (sqrt.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3)))))
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(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (-.f32 (+.f32 (.f32 -1/2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (+.f32 (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1)) (.f32 2 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (pow.f32 (.f32 1/2 (.f32 (+.f32 (.f32 -1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (.f32 -2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (+.f32 (.f32 -1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (.f32 -2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) u1) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (-.f32 (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (+.f32 1 (.f32 -2/3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (+.f32 (.f32 -1 (+.f32 (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1)) (.f32 -1/3 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))))) (.f32 1/2 (/.f32 (.f32 (+.f32 (.f32 -1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (.f32 -2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (-.f32 (+.f32 (.f32 -1/2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (+.f32 (.f32 -1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1)) (.f32 2 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (pow.f32 (.f32 1/2 (.f32 (+.f32 (.f32 -1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (.f32 -2 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) 2))) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3))) (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (/.f32 (.f32 u1 u1) (-.f32 (fma.f32 -1/2 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2) (fma.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (fma.f32 -1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1) (.f32 2 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (pow.f32 (.f32 1/2 (.f32 (.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2) -3) (sqrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3))))) 2))))) (fma.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (sqrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)) (.f32 -1/2 (+.f32 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (/.f32 u1 (.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2) -3))) (sqrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)))) (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3))) (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (/.f32 (pow.f32 u1 3) (+.f32 (fma.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (+.f32 1 (.f32 -2/3 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (fma.f32 -1 (fma.f32 -1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1) (.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2) -1/3)))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2) -3) (/.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3) (-.f32 (fma.f32 -1/2 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2) (fma.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (fma.f32 -1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1) (.f32 2 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (pow.f32 (.f32 1/2 (.f32 (.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2) -3) (sqrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3))))) 2)))))))))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3))) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (.f32 u1 u1)) (-.f32 (fma.f32 -1/2 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2) (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (+.f32 (-.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 2))) (pow.f32 (.f32 1/2 (.f32 (.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2) -3) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3))))) 2)))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3))) (+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (/.f32 (/.f32 u1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) -3)) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (pow.f32 u1 3)) (-.f32 (fma.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (fma.f32 -2/3 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1) (+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (fma.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2) -1/3 (+.f32 -1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))))) (.f32 1/2 (.f32 (/.f32 (.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2) -3) (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) (-.f32 (fma.f32 -1/2 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2) (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (+.f32 (-.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 2))) (pow.f32 (.f32 1/2 (.f32 (.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2) -3) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3))))) 2)))))))) (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3) (sqrt.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)))))
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3/2)) (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) u1) (+.f32 (.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2) -3) (/.f32 (+.f32 (+.f32 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (+.f32 (fma.f32 -2/3 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1) 1)) (fma.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2) -1/3 (+.f32 -1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2) (/.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3) -3)) (-.f32 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) -1/2) (+.f32 (+.f32 1 (-.f32 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) 2))) (pow.f32 (.f32 1/2 (.f32 (.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2) -3) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3))))) 2))))) (.f32 u1 u1))))) (.f32 1/2 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) (.f32 u1 u1)) (-.f32 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) -1/2) (+.f32 (+.f32 1 (-.f32 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) 2))) (pow.f32 (.f32 1/2 (.f32 (.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2) -3) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3))))) 2)))))))

eval1.1s (6.3%)

Compiler: Compiled 21940 to 16578 computations (24.4% saved)

prune351.0ms (2.1%)

Pruning

71 alts after pruning (61 fresh and 10 done)

	Pruned	Kept	Total
New	568	24	592
Fresh	12	37	49
Picked	1	0	1
Done	1	10	11
Total	582	71	653

Error

0.1b

Counts

653 → 71

Alt Table

Click to see full alt table

Status	Error	Program
	12.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	7.5b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	6.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2))
	6.9b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	6.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3))
	3.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 (.f32 u1 -1/2) -1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	3.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (exp.f32 (log.f32 (.f32 (PI.f32) (.f32 2 u2))))))
	10.9b	(exp.f32 (log.f32 (.f32 (.f32 u2 (*.f32 (PI.f32) 2)) (sqrt.f32 u1))))
	10.5b	(sqrt.f32 (.f32 u1 (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 2)))
	14.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
	7.6b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	8.2b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	7.5b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/4) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	7.9b	(.f32 (cbrt.f32 (exp.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (exp.f32 (log.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
	7.8b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	12.7b	(.f32 u2 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 2 (sqrt.f32 u1)))))
	3.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 3) 1/3)))
	15.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	10.5b	(.f32 u2 (sqrt.f32 (.f32 (pow.f32 (PI.f32) 2) (*.f32 u1 4))))
	7.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 (PI.f32) (.f32 2 u2)))
	2.8b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 2 u2))) 3)))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	10.5b	(.f32 u2 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1)))) 2))
	14.0b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))))))))
	11.0b	(.f32 (.f32 u2 (*.f32 (PI.f32) 2)) (sqrt.f32 (log1p.f32 u1)))
	12.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 2 u2))) 2)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	6.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 2 u2)))))
	7.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (.f32 (PI.f32) (*.f32 2 u2)))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2)))
✓	10.5b	(.f32 u2 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
	3.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 u1 (+.f32 -3 (.f32 u1 -3/2)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
	6.1b	(.f32 (.f32 u2 (PI.f32)) (.f32 2 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
✓	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 2 u2)))
	9.0b	(cbrt.f32 (exp.f32 (.f32 3 (log.f32 (.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))))
	15.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	12.3b	(.f32 (pow.f32 (log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4))) 2) (.f32 (PI.f32) (*.f32 2 u2)))
	3.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (+.f32 (.f32 -3/2 (pow.f32 u1 2)) (.f32 -3 u1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	6.9b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 u1 3/2)))
	11.0b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (.f32 (PI.f32) (*.f32 2 u2)))
✓	14.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	17.3b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2)))))))
	12.8b	(.f32 u2 (-.f32 (+.f32 1 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1)))) 1))
✓	1.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	6.9b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 u1 -3)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	10.6b	(pow.f32 (cbrt.f32 (.f32 (.f32 u2 (*.f32 (PI.f32) 2)) (sqrt.f32 u1))) 3)
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))))))
	10.5b	(.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 2 u2)))
	11.0b	(cbrt.f32 (.f32 8 (.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (log1p.f32 u1) 3/2)))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)))
✓	2.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	23.7b	(-.f32 (+.f32 1 (.f32 (.f32 u2 (*.f32 (PI.f32) 2)) (sqrt.f32 u1))) 1)
	7.5b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	10.5b	(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 u1 3/2)))
	6.9b	(.f32 (cbrt.f32 (pow.f32 u1 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.7b	(cbrt.f32 (.f32 (exp.f32 (.f32 3 (log.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (pow.f32 (log1p.f32 u1) 3/2)))
	5.2b	(+.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))))
	10.7b	(.f32 u2 (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))))
	8.2b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.0b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	2.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (/.f32 (.f32 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)) (.f32 u1 u1)) (+.f32 -1/2 (.f32 1/3 u1))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	10.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 1298 to 1103 computations (15% saved)

regimes1.9s (11.5%)

Counts

121 → 1

Calls

Call 1

Inputs
(.f32 u2 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 2 u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 (PI.f32) (*.f32 2 u2)))
(.f32 u2 (-.f32 (+.f32 1 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1)))) 1))
(-.f32 (+.f32 1 (.f32 (.f32 u2 (*.f32 (PI.f32) 2)) (sqrt.f32 u1))) 1)
(-.f32 (+.f32 1 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 2 u2)))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (.f32 (PI.f32) (*.f32 2 u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (.f32 u2 (*.f32 (PI.f32) 2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (.f32 u2 (*.f32 2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 u2 (sqrt.f32 (.f32 (pow.f32 (PI.f32) 2) (*.f32 u1 4))))
(sqrt.f32 (.f32 u1 (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 2)))
(.f32 (pow.f32 (pow.f32 u1 1/4) 2) (.f32 (PI.f32) (*.f32 2 u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 2 u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 u1 -3)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 (.f32 u1 -1/2) -1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 u1 (+.f32 -3 (.f32 u1 -3/2)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (/.f32 (.f32 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)) (.f32 u1 u1)) (+.f32 -1/2 (.f32 1/3 u1))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(exp.f32 (log.f32 (.f32 (.f32 u2 (*.f32 (PI.f32) 2)) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 u2 (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 2 u2)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 u2 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1)))) 2))
(pow.f32 (cbrt.f32 (.f32 (.f32 u2 (*.f32 (PI.f32) 2)) (sqrt.f32 u1))) 3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 2 u2)))) 3)
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (.f32 (PI.f32) (*.f32 2 u2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 2)))
(.f32 (cbrt.f32 (pow.f32 u1 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (log1p.f32 u1) 1/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 u1 3/2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 (PI.f32) (*.f32 2 u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (.f32 u2 (PI.f32)) (.f32 2 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (+.f32 (.f32 -3/2 (pow.f32 u1 2)) (.f32 -3 u1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 u2 (log.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 2 (sqrt.f32 u1)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 2 u2)))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 2 u2)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 2 u2)))) 3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 u1 3/2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 2 u2)))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/4) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3))
(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2)))))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (exp.f32 (log.f32 (.f32 (PI.f32) (.f32 2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 2 u2))) 3)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 2 u2))) 2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 3) 1/3)))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (+.f32 (.f32 -3/2 (pow.f32 u1 2)) (+.f32 (.f32 -1 (pow.f32 u1 3)) (.f32 -3 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (pow.f32 (log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4))) 2) (.f32 (PI.f32) (*.f32 2 u2)))
(.f32 (cbrt.f32 (exp.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(cbrt.f32 (.f32 8 (.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (log1p.f32 u1) 3/2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 2 (.f32 u2 (+.f32 (PI.f32) (.f32 u2 (pow.f32 (PI.f32) 2)))))))
(cbrt.f32 (exp.f32 (.f32 3 (log.f32 (.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) (.f32 2 (PI.f32))))))
(cbrt.f32 (.f32 (exp.f32 (.f32 3 (log.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (pow.f32 (log1p.f32 u1) 3/2)))
(.f32 (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 5/6) (pow.f32 (log1p.f32 u1) 1/12)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (exp.f32 (log.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2))))))
(+.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 (log1p.f32 u1))) (log1p.f32 (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))))))))

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

Calls

16 calls:

256.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
242.0ms	(.f32 (.f32 2 (PI.f32)) u2)
195.0ms	(neg.f32 (log.f32 (-.f32 1 u1)))
127.0ms	(-.f32 1 u1)
117.0ms	(-.f32 1 u1)

Results

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

Compiler

Compiled 1942 to 1206 computations (37.9% saved)

regimes455.0ms (2.7%)

Counts

39 → 2

Calls

Call 1

Inputs
(.f32 u2 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 2 u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 (PI.f32) (*.f32 2 u2)))
(.f32 u2 (-.f32 (+.f32 1 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1)))) 1))
(-.f32 (+.f32 1 (.f32 (.f32 u2 (*.f32 (PI.f32) 2)) (sqrt.f32 u1))) 1)
(-.f32 (+.f32 1 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 2 u2)))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (.f32 (PI.f32) (*.f32 2 u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (.f32 u2 (*.f32 (PI.f32) 2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (.f32 u2 (*.f32 2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 u2 (sqrt.f32 (.f32 (pow.f32 (PI.f32) 2) (*.f32 u1 4))))
(sqrt.f32 (.f32 u1 (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 2)))
(.f32 (pow.f32 (pow.f32 u1 1/4) 2) (.f32 (PI.f32) (*.f32 2 u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 2 u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 u1 -3)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 (.f32 u1 -1/2) -1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 u1 (+.f32 -3 (.f32 u1 -3/2)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (/.f32 (.f32 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)) (.f32 u1 u1)) (+.f32 -1/2 (.f32 1/3 u1))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(exp.f32 (log.f32 (.f32 (.f32 u2 (*.f32 (PI.f32) 2)) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 u2 (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 2 u2)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 u2 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1)))) 2))
(pow.f32 (cbrt.f32 (.f32 (.f32 u2 (*.f32 (PI.f32) 2)) (sqrt.f32 u1))) 3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 2 u2)))) 3)
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (.f32 (PI.f32) (*.f32 2 u2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 2)))
(.f32 (cbrt.f32 (pow.f32 u1 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (log1p.f32 u1) 1/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 u1 3/2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 (PI.f32) (*.f32 2 u2)))

Outputs

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

(*.f32 (sqrt.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)) (*.f32 u1 u1)) (+.f32 -1/2 (*.f32 1/3 u1))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

Calls

6 calls:

220.0ms	u2
74.0ms	(.f32 (.f32 2 (PI.f32)) u2)
65.0ms	(.f32 (.f32 2 (PI.f32)) u2)
42.0ms	u1
20.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))

Results

Error	Segments	Branch
2.5b	1	`cosTheta_i`
1.5b	2	`u1`
1.4b	2	`u2`
2.5b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.4b	2	`(.f32 (.f32 2 (PI.f32)) u2)`
1.4b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 516 to 337 computations (34.7% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001725620124489069	0.0017969964537769556

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes344.0ms (2.1%)

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

192.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
63.0ms	(.f32 (.f32 2 (PI.f32)) u2)
22.0ms	(.f32 (.f32 2 (PI.f32)) u2)
22.0ms	u2
22.0ms	u1

Results

Error	Segments	Branch
2.5b	1	`cosTheta_i`
1.5b	2	`u1`
1.4b	2	`u2`
2.5b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.4b	2	`(.f32 (.f32 2 (PI.f32)) u2)`
1.4b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 327 to 223 computations (31.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001725620124489069	0.0017969964537769556

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes175.0ms (1%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

6 calls:

54.0ms	u2
33.0ms	cosTheta_i
24.0ms	u1
23.0ms	(.f32 (.f32 2 (PI.f32)) u2)
21.0ms	(.f32 (.f32 2 (PI.f32)) u2)

Results

Error	Segments	Branch
3.5b	1	`cosTheta_i`
2.1b	2	`u1`
1.8b	2	`u2`
3.5b	1	`(sin.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 307 to 210 computations (31.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001725620124489069	0.0017969964537769556

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes146.0ms (0.9%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

7 calls:

34.0ms	u1
21.0ms	(.f32 (.f32 2 (PI.f32)) u2)
20.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
19.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
19.0ms	(.f32 (.f32 2 (PI.f32)) u2)

Results

Error	Segments	Branch
6.0b	1	`cosTheta_i`
3.1b	2	`u1`
2.7b	2	`u2`
3.5b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
3.5b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.7b	2	`(.f32 (.f32 2 (PI.f32)) u2)`
2.7b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 250 to 170 computations (32% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.010266507044434547	0.010727980174124241

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes196.0ms (1.2%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

7 calls:

64.0ms	(.f32 (.f32 2 (PI.f32)) u2)
49.0ms	u1
18.0ms	(.f32 (.f32 2 (PI.f32)) u2)
17.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
17.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))

Results

Error	Segments	Branch
6.9b	1	`cosTheta_i`
4.4b	2	`u1`
3.9b	2	`u2`
4.7b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
4.7b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
3.9b	2	`(.f32 (.f32 2 (PI.f32)) u2)`
3.9b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 225 to 152 computations (32.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001040336792357266	0.001167232054285705

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes24.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	cosTheta_i
7.0ms	u2
6.0ms	u1

Results

Error	Segments	Branch
7.3b	1	`cosTheta_i`
7.3b	1	`u1`
7.3b	1	`u2`

Compiler

Compiled 120 to 81 computations (32.5% saved)

regimes19.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	cosTheta_i
5.0ms	u1
5.0ms	u2

Results

Error	Segments	Branch
7.9b	1	`cosTheta_i`
7.9b	1	`u1`
7.9b	1	`u2`

Compiler

Compiled 92 to 63 computations (31.5% saved)

regimes25.0ms (0.2%)

Accuracy

Total -13.2b remaining (-126%)

Threshold costs -13.2b (-126%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	cosTheta_i
9.0ms	u1
5.0ms	u2

Results

Error	Segments	Branch
10.5b	1	`cosTheta_i`
10.5b	1	`u1`
10.5b	1	`u2`

Compiler

Compiled 77 to 53 computations (31.2% saved)

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

68×	`distribute-rgt-neg-in_binary32`
56×	`cancel-sign-sub-inv_binary32`
48×	`distribute-lft-neg-in_binary32`
46×	`neg-sub0_binary32`
46×	`neg-mul-1_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	391
1	121	391
2	159	389
3	216	379
4	283	379
5	377	379
6	494	379
7	580	379
8	621	379
9	627	379

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (/.f32 (.f32 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)) (.f32 u1 u1)) (+.f32 -1/2 (.f32 1/3 u1))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 11274289/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 295279/268435456) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (.f32 (PI.f32) (*.f32 2 u2)))
(.f32 u2 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (/.f32 (.f32 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)) (.f32 u1 u1)) (+.f32 -1/2 (.f32 1/3 u1))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (/.f32 (.f32 (.f32 u1 u1) (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9))) (+.f32 -1/2 (.f32 u1 1/3))) u1))) (sin.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (/.f32 (.f32 (.f32 u1 u1) (+.f32 1/4 (.f32 (.f32 u1 u1) -1/9))) (+.f32 -1/2 (.f32 u1 1/3))) u1))) (sin.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 (+.f32 u1 (/.f32 (neg.f32 (.f32 (.f32 u1 u1) (+.f32 1/4 (.f32 (.f32 u1 u1) -1/9)))) (+.f32 -1/2 (.f32 u1 1/3))))) (sin.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 (-.f32 u1 (/.f32 (.f32 (.f32 u1 u1) (+.f32 1/4 (.f32 (.f32 u1 u1) -1/9))) (+.f32 -1/2 (.f32 u1 1/3))))) (sin.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 (-.f32 u1 (/.f32 (.f32 (.f32 u1 u1) (+.f32 1/4 (.f32 (.f32 u1 u1) -1/9))) (-.f32 -1/2 (.f32 u1 -1/3))))) (sin.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 (+.f32 u1 (/.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 (.f32 u1 u1) 1/9) -1/4)) (+.f32 -1/2 (.f32 u1 1/3))))) (sin.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (-.f32 1/2 (*.f32 u1 -1/3)))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 1/2 (*.f32 u1 1/3)))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 (neg.f32 u1) (.f32 u1 -1/2))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 -1/2))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7516193/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 u1 (.f32 u1 1/2))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 11274289/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 11274289/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 295279/268435456) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 295279/268435456) (.f32 (.f32 (PI.f32) (.f32 2 u2)) (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1)))) (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 295279/268435456) (.f32 (.f32 (PI.f32) (.f32 2 u2)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))))) (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 295279/268435456) (.f32 (.f32 (PI.f32) (.f32 2 u2)) (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (-.f32 1/2 (.f32 u1 -1/3)))))) (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 295279/268435456) (.f32 (.f32 (PI.f32) (.f32 2 u2)) (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 1/2 (.f32 u1 1/3)))))) (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (.f32 (PI.f32) (.f32 2 u2)) (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))))
(.f32 (.f32 (PI.f32) (.f32 2 u2)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))))))
(.f32 (.f32 (PI.f32) (.f32 2 u2)) (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (-.f32 1/2 (.f32 u1 -1/3))))))
(.f32 (.f32 (PI.f32) (.f32 2 u2)) (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 1/2 (.f32 u1 1/3))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (.f32 (PI.f32) (*.f32 2 u2)))
(.f32 (.f32 (PI.f32) (.f32 2 u2)) (sqrt.f32 (neg.f32 (-.f32 (.f32 (*.f32 u1 u1) -1/2) u1))))
(.f32 (.f32 (PI.f32) (.f32 2 u2)) (sqrt.f32 (+.f32 u1 (.f32 (*.f32 u1 u1) 1/2))))
(.f32 u2 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))

Compiler

Compiled 260 to 198 computations (23.8% saved)

soundness29.0ms (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)

end180.0ms (1.1%)

Compiler: Compiled 236 to 142 computations (39.8% saved)

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

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

Iter	Nodes	Cost
0	71	391
1	121	391
2	159	389
3	216	379
4	283	379
5	377	379
6	494	379
7	580	379
8	621	379
9	627	379

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	71	391
1	121	391
2	159	389
3	216	379
4	283	379
5	377	379
6	494	379
7	580	379
8	621	379
9	627	379

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	71	391
1	121	391
2	159	389
3	216	379
4	283	379
5	377	379
6	494	379
7	580	379
8	621	379
9	627	379

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