Details

analyze213.0ms (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)

sample2.9s (21.3%)

Results

2.9s	8256×	body	256	valid
1.0ms	2×	body	256	precondition

Bogosity

preprocess45.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (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)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (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))))

eval1.0ms (0%)

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

prune37.0ms (0.3%)

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

0.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	13.8b	(.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)

localize166.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
✓	14.4b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series82.0ms (0.6%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
48.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
6.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
5.0ms	u2	@	-inf	(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)))
4.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite100.0ms (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	3434	42

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

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

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

simplify116.0ms (0.8%)

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

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

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 47 to 19 computations (59.6% saved)

series18.0ms (0.1%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u2	@	0	(*.f32 (PI.f32) u2)
1.0ms	u1	@	inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite75.0ms (0.5%)

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.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 (.f32 (PI.f32) u2) 2))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.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 (.f32 (PI.f32) u2) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (.f32 (PI.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 (.f32 (PI.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 (.f32 (PI.f32) u2) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.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 (.f32 (PI.f32) u2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.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 (.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (PI.f32) u2) 2)))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (PI.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 (.f32 (PI.f32) u2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 2) (cbrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) (sqrt.f32 (sin.f32 (.f32 (.f32 (PI.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 (.f32 (PI.f32) u2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 1))))))
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simplify96.0ms (0.7%)

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

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

eval197.0ms (1.4%)

Compiler: Compiled 8048 to 5604 computations (30.4% saved)

prune197.0ms (1.4%)

Pruning

38 alts after pruning (36 fresh and 2 done)

	Pruned	Kept	Total
New	296	36	332
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	296	38	334

Error

0.1b

Counts

334 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	8.9b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 (.f32 u1 -1/2) -1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.7b	(.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)))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.7b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.7b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	2.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2))
▶	9.8b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	13.8b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
▶	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.3b	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 2) (cbrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))))
	14.6b	(.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)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	12.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	9.2b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2)))
	12.6b	(.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	9.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))) 2)
	8.4b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))) 3)
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 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 (*.f32 (PI.f32) u2) 2))) 3))
▶	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
▶	6.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
✓	13.8b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.4b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	13.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))))
▶	2.9b	(.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)))
	8.4b	(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (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 (.f32 (PI.f32) u2) 2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))))

Compiler

Compiled 1385 to 1175 computations (15.2% saved)

localize143.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 97 to 48 computations (50.5% saved)

series109.0ms (0.8%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
66.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
31.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(pow.f32 (log1p.f32 (neg.f32 u1)) 2)
1.0ms	u1	@	inf	(pow.f32 (log1p.f32 (neg.f32 u1)) 2)

rewrite90.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`log-prod_binary32`
465×	`prod-diff_binary32`
348×	`pow-unpow_binary32`
324×	`pow2_binary32`
227×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	34
1	349	26
2	3917	26

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs

(pow.f32 (log1p.f32 (neg.f32 u1)) 2)

(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1))))

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

Outputs

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

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

simplify134.0ms (1%)

Algorithm

1×	egg-herbie

Rules

892×	`fma-def_binary32`
397×	`*-commutative_binary32`
349×	`associate-+l+_binary32`
341×	`times-frac_binary32`
321×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	1979
1	584	1734
2	2078	1599
3	7393	1599

Stop Event

1×	node limit

Counts

116 → 145

Calls

Call 1

Inputs
(pow.f32 u1 2)
(+.f32 (pow.f32 u1 2) (pow.f32 u1 3))
(+.f32 (pow.f32 u1 2) (+.f32 (*.f32 11/12 (pow.f32 u1 4)) (pow.f32 u1 3)))
(+.f32 (.f32 5/6 (pow.f32 u1 5)) (+.f32 (pow.f32 u1 2) (+.f32 (.f32 11/12 (pow.f32 u1 4)) (pow.f32 u1 3))))
(pow.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) 2)
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2) (.f32 -2 (/.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) u1)))
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2) (+.f32 (.f32 -1 (/.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (pow.f32 u1 2))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (.f32 -2 (/.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) u1)))))
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (.f32 -1 (/.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (pow.f32 u1 2))) (+.f32 (/.f32 1 (pow.f32 u1 3)) (+.f32 (.f32 -2/3 (/.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (pow.f32 u1 3))) (.f32 -2 (/.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) u1)))))))
(pow.f32 (log.f32 (/.f32 -1 u1)) 2)
(+.f32 (*.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1)) (pow.f32 (log.f32 (/.f32 -1 u1)) 2))
(+.f32 (/.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (*.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1)) (pow.f32 (log.f32 (/.f32 -1 u1)) 2))))
(+.f32 (/.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (.f32 -1 (/.f32 (-.f32 (.f32 -2/3 (log.f32 (/.f32 -1 u1))) 1) (pow.f32 u1 3))) (+.f32 (*.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1)) (pow.f32 (log.f32 (/.f32 -1 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 (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))))

Outputs
(pow.f32 u1 2)
(*.f32 u1 u1)
(+.f32 (pow.f32 u1 2) (pow.f32 u1 3))
(+.f32 (*.f32 u1 u1) (pow.f32 u1 3))
(fma.f32 u1 u1 (pow.f32 u1 3))
(*.f32 u1 (fma.f32 u1 u1 u1))
(+.f32 (pow.f32 u1 2) (+.f32 (*.f32 11/12 (pow.f32 u1 4)) (pow.f32 u1 3)))
(+.f32 (*.f32 u1 u1) (fma.f32 11/12 (pow.f32 u1 4) (pow.f32 u1 3)))
(fma.f32 u1 u1 (fma.f32 11/12 (pow.f32 u1 4) (pow.f32 u1 3)))
(fma.f32 u1 (fma.f32 u1 u1 u1) (*.f32 11/12 (pow.f32 u1 4)))
(+.f32 (.f32 5/6 (pow.f32 u1 5)) (+.f32 (pow.f32 u1 2) (+.f32 (.f32 11/12 (pow.f32 u1 4)) (pow.f32 u1 3))))
(fma.f32 5/6 (pow.f32 u1 5) (+.f32 (*.f32 u1 u1) (fma.f32 11/12 (pow.f32 u1 4) (pow.f32 u1 3))))
(fma.f32 5/6 (pow.f32 u1 5) (fma.f32 u1 u1 (fma.f32 11/12 (pow.f32 u1 4) (pow.f32 u1 3))))
(fma.f32 5/6 (pow.f32 u1 5) (fma.f32 u1 (fma.f32 u1 u1 u1) (*.f32 11/12 (pow.f32 u1 4))))
(pow.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) 2)
(pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 2)
(pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 2)
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2) (.f32 -2 (/.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) u1)))
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 2) (*.f32 -2 (/.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) u1)))
(fma.f32 -2 (/.f32 (+.f32 (log.f32 -1) (log.f32 u1)) u1) (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 2))
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2) (+.f32 (.f32 -1 (/.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (pow.f32 u1 2))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (.f32 -2 (/.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) u1)))))
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 2) (fma.f32 -1 (/.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (.f32 u1 u1)) (+.f32 (.f32 -2 (/.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) u1)) (/.f32 1 (*.f32 u1 u1)))))
(+.f32 (fma.f32 -2 (/.f32 (+.f32 (log.f32 -1) (log.f32 u1)) u1) (/.f32 1 (.f32 u1 u1))) (-.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 2) (/.f32 (+.f32 (log.f32 -1) (log.f32 u1)) (.f32 u1 u1))))
(+.f32 (/.f32 1 (.f32 u1 u1)) (+.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 2) (.f32 (/.f32 (+.f32 (log.f32 -1) (log.f32 u1)) u1) (+.f32 (/.f32 -1 u1) -2))))
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (.f32 -1 (/.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (pow.f32 u1 2))) (+.f32 (/.f32 1 (pow.f32 u1 3)) (+.f32 (.f32 -2/3 (/.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (pow.f32 u1 3))) (.f32 -2 (/.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) u1)))))))
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 2) (+.f32 (/.f32 1 (.f32 u1 u1)) (fma.f32 -1 (/.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (.f32 u1 u1)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (fma.f32 -2/3 (/.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (pow.f32 u1 3)) (*.f32 -2 (/.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) u1)))))))
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 2) (+.f32 (+.f32 (/.f32 1 (pow.f32 u1 3)) (fma.f32 -2 (/.f32 (+.f32 (log.f32 -1) (log.f32 u1)) u1) (.f32 -2/3 (/.f32 (+.f32 (log.f32 -1) (log.f32 u1)) (pow.f32 u1 3))))) (-.f32 (/.f32 1 (.f32 u1 u1)) (/.f32 (+.f32 (log.f32 -1) (log.f32 u1)) (*.f32 u1 u1)))))
(+.f32 (+.f32 (+.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 2) (/.f32 1 (.f32 u1 u1))) (fma.f32 -2/3 (/.f32 (+.f32 (log.f32 -1) (log.f32 u1)) (pow.f32 u1 3)) (/.f32 1 (pow.f32 u1 3)))) (.f32 (/.f32 (+.f32 (log.f32 -1) (log.f32 u1)) u1) (+.f32 (/.f32 -1 u1) -2)))
(pow.f32 (log.f32 (/.f32 -1 u1)) 2)
(+.f32 (*.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1)) (pow.f32 (log.f32 (/.f32 -1 u1)) 2))
(fma.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1) (pow.f32 (log.f32 (/.f32 -1 u1)) 2))
(+.f32 (/.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (*.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1)) (pow.f32 (log.f32 (/.f32 -1 u1)) 2))))
(+.f32 (/.f32 (log.f32 (/.f32 -1 u1)) (.f32 u1 u1)) (+.f32 (/.f32 1 (.f32 u1 u1)) (fma.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1) (pow.f32 (log.f32 (/.f32 -1 u1)) 2))))
(+.f32 (/.f32 1 (.f32 u1 u1)) (+.f32 (fma.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1) (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) (/.f32 (log.f32 (/.f32 -1 u1)) (.f32 u1 u1))))
(+.f32 (pow.f32 (log.f32 (/.f32 -1 u1)) 2) (+.f32 (/.f32 (log.f32 (/.f32 -1 u1)) (.f32 u1 u1)) (fma.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1) (/.f32 1 (.f32 u1 u1)))))
(+.f32 (/.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (.f32 -1 (/.f32 (-.f32 (.f32 -2/3 (log.f32 (/.f32 -1 u1))) 1) (pow.f32 u1 3))) (+.f32 (*.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1)) (pow.f32 (log.f32 (/.f32 -1 u1)) 2)))))
(+.f32 (/.f32 (log.f32 (/.f32 -1 u1)) (.f32 u1 u1)) (+.f32 (/.f32 1 (.f32 u1 u1)) (fma.f32 -1 (/.f32 (fma.f32 -2/3 (log.f32 (/.f32 -1 u1)) -1) (pow.f32 u1 3)) (fma.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1) (pow.f32 (log.f32 (/.f32 -1 u1)) 2)))))
(+.f32 (-.f32 (fma.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1) (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) (/.f32 (fma.f32 -2/3 (log.f32 (/.f32 -1 u1)) -1) (pow.f32 u1 3))) (+.f32 (/.f32 1 (.f32 u1 u1)) (/.f32 (log.f32 (/.f32 -1 u1)) (.f32 u1 u1))))
(+.f32 (fma.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1) (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) (-.f32 (+.f32 (/.f32 1 (.f32 u1 u1)) (/.f32 (log.f32 (/.f32 -1 u1)) (.f32 u1 u1))) (/.f32 (fma.f32 -2/3 (log.f32 (/.f32 -1 u1)) -1) (pow.f32 u1 3))))
(*.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))
(-.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 (.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 (pow.f32 u1 4) -1/4 (fma.f32 (.f32 u1 u1) -1/2 (.f32 (pow.f32 u1 3) -1/3))) u1)
(-.f32 (fma.f32 (pow.f32 u1 4) -1/4 (.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 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (/.f32 1 u1))
(+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (/.f32 -1 u1)))
(+.f32 (log.f32 -1) (-.f32 (log.f32 u1) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (log.f32 -1) (-.f32 (log.f32 u1) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(+.f32 (log.f32 -1) (+.f32 (-.f32 (log.f32 u1) (/.f32 1 u1)) (/.f32 -1/2 (*.f32 u1 u1))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(-.f32 (-.f32 (+.f32 (log.f32 -1) (log.f32 u1)) (+.f32 (/.f32 1/2 (*.f32 u1 u1)) (/.f32 1/3 (pow.f32 u1 3)))) (/.f32 1 u1))
(+.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 -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))
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(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(fma.f32 2 (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 2 (sqrt.f32 -1)) (.f32 u2 (PI.f32))) (.f32 (.f32 -4/3 (sqrt.f32 -1)) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 -1) (+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(fma.f32 4/15 (.f32 (sqrt.f32 -1) (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (fma.f32 2 (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))))
(fma.f32 4/15 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 2 (sqrt.f32 -1)) (.f32 u2 (PI.f32))) (.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 -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 2 (*.f32 u2 (PI.f32)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(fma.f32 4/15 (.f32 (sqrt.f32 -1) (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (fma.f32 2 (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (fma.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))) (.f32 -8/315 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 -4/3 (sqrt.f32 -1)) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 -8/315 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)))))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 4/15 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))) (.f32 (.f32 2 (sqrt.f32 -1)) (.f32 u2 (PI.f32))))))
(.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 2 (*.f32 u2 (PI.f32)))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))

localize120.0ms (0.9%)

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

Compiler

Compiled 40 to 18 computations (55% saved)

series41.0ms (0.3%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
4.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
3.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
2.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`pow1_binary32`
895×	`add-log-exp_binary32`
894×	`expm1-log1p-u_binary32`
893×	`log1p-expm1-u_binary32`
120×	`associate-r_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	244	26
2	2997	26

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs

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

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

((#(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 (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 (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 (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)))))))

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

635×	`associate-l_binary32`
568×	`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 → 105

Calls

Call 1

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

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

localize153.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 92 to 54 computations (41.3% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(.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)))
1.0ms	u2	@	inf	(.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)))
1.0ms	u1	@	inf	(.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)))
1.0ms	u1	@	-inf	(.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)))
1.0ms	u1	@	0	(.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)))

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

783×	`log-prod_binary32`
641×	`prod-diff_binary32`
290×	`expm1-udef_binary32`
290×	`log1p-udef_binary32`
240×	`fma-def_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	376	30
2	4648	30

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(*.f32 u1 -1/3)
(.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)))

Outputs

((#(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 (pow.f32 (*.f32 u1 -1/3) 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 (pow.f32 (*.f32 u1 -1/3) 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))))))

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

simplify114.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

957×	`distribute-lft-out_binary32`
597×	`distribute-rgt-in_binary32`
481×	`fma-neg_binary32`
449×	`associate-r_binary32`
421×	`associate-l_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	658
1	147	596
2	466	542
3	2361	532
4	3147	532
5	5613	532
6	7879	532

Stop Event

1×	node limit

Counts

58 → 45

Calls

Call 1

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

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

localize99.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 59 to 28 computations (52.5% saved)

series25.0ms (0.2%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
15.0ms	u2	@	inf	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
1.0ms	u2	@	0	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
1.0ms	u1	@	inf	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
1.0ms	u1	@	-inf	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
1.0ms	u1	@	0	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))

rewrite107.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`log-prod_binary32`
419×	`exp-prod_binary32`
345×	`pow-prod-down_binary32`
338×	`prod-diff_binary32`
289×	`pow2_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	242	44
2	2709	44

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify152.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

675×	`associate-l_binary32`
626×	`fma-def_binary32`
596×	`associate-r_binary32`
367×	`distribute-rgt-in_binary32`
318×	`times-frac_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	2514
1	377	2324
2	1250	2112
3	6169	1832

Stop Event

1×	node limit

Counts

171 → 122

Calls

Call 1

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

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

localize140.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 29 computations (56.7% saved)

series9.0ms (0.1%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
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))))
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))))

rewrite111.0ms (0.8%)

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	36
1	333	32
2	3690	32

Stop Event

1×	node limit

Counts

3 → 82

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))))

(sin.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)))

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

simplify91.0ms (0.7%)

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	1546
1	404	1376
2	1431	1256
3	4713	1172
4	7755	1170

Stop Event

1×	node limit

Counts

114 → 118

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))))

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

eval714.0ms (5.2%)

Compiler: Compiled 17363 to 11671 computations (32.8% saved)

prune414.0ms (3%)

Pruning

63 alts after pruning (59 fresh and 4 done)

	Pruned	Kept	Total
New	659	34	693
Fresh	6	25	31
Picked	0	1	1
Done	3	3	6
Total	668	63	731

Error

0.1b

Counts

731 → 63

Alt Table

Click to see full alt table

Status	Error	Program
	11.4b	(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (.f32 (PI.f32) (.f32 u2 2)))
	11.3b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (.f32 u2 (*.f32 2 (PI.f32))) 2)))
	8.9b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	20.4b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 (.f32 u1 -1/2) -1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	11.4b	(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (*.f32 u2 2) (sqrt.f32 (log1p.f32 u1))))) 2)
	4.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 u1 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.7b	(.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)))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	11.4b	(pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 (*.f32 u2 2) (sqrt.f32 (log1p.f32 u1))))) 3)
▶	0.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.7b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (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)))))
	8.7b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	2.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.3b	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (.f32 (PI.f32) (*.f32 u2 2)))
	8.4b	(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
	11.3b	(pow.f32 (.f32 (PI.f32) (.f32 (*.f32 u2 2) (sqrt.f32 (log1p.f32 u1)))) 1)
	13.8b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
▶	6.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 3))
	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)))
	7.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (.f32 u2 (*.f32 2 (PI.f32))) 3) 1/3))
	11.5b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (.f32 (PI.f32) (.f32 u2 2)))
	4.4b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (sqrt.f32 (.f32 (.f32 u1 u1) 1/9))) (neg.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 4) -1/4 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.6b	(.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)))
	7.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
	2.9b	(.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)))
	8.4b	(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	11.3b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (.f32 (PI.f32) (*.f32 u2 2)))
	12.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	9.2b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2)))
▶	11.6b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) (.f32 (PI.f32) (*.f32 u2 2)))
	12.6b	(.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 (PI.f32) (.f32 u2 2)))
	9.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))) 2)
	11.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 (PI.f32) (*.f32 u2 2)))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 3))
	8.4b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (.f32 u1 -1/2) (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
✓	6.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	1.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2)))))
✓	13.8b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.4b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	10.9b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 (PI.f32) (*.f32 u2 2)))
	13.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))))
▶	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	8.3b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
	2.9b	(.f32 (sqrt.f32 (neg.f32 (.f32 (cbrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (.f32 11/12 (pow.f32 u1 4)))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	11.3b	(.f32 u2 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))))
	14.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1)))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (PI.f32))) (cbrt.f32 u2)))))

Compiler

Compiled 2253 to 1885 computations (16.3% saved)

localize151.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 99 to 56 computations (43.4% saved)

series85.0ms (0.6%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
66.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
8.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
5.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`log-prod_binary32`
352×	`fma-def_binary32`
287×	`expm1-udef_binary32`
287×	`log1p-udef_binary32`
259×	`pow3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	40
1	378	36
2	4641	36

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

645×	`fma-def_binary32`
479×	`associate-r_binary32`
459×	`associate-l_binary32`
269×	`distribute-lft-out_binary32`
240×	`div-sub_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1812
1	412	1466
2	1296	1264
3	5508	1202

Stop Event

1×	node limit

Counts

71 → 87

Calls

Call 1

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

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

localize55.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 17 computations (50% saved)

series6.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`pow1_binary32`
811×	`add-log-exp_binary32`
810×	`log1p-expm1-u_binary32`
810×	`expm1-log1p-u_binary32`
792×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	229	13
2	2546	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 u2 2)))

Outputs

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

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

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))))

localize81.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) (.f32 (PI.f32) (*.f32 u2 2)))
	0.4b	(.f32 (PI.f32) (.f32 u2 2))
✓	0.7b	(pow.f32 (log1p.f32 u1) 1/6)
✓	0.7b	(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)

Compiler

Compiled 41 to 27 computations (34.1% saved)

series52.0ms (0.4%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
11.0ms	u2	@	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) (.f32 (PI.f32) (*.f32 u2 2)))
10.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
3.0ms	u1	@	0	(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
3.0ms	u1	@	inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) (.f32 (PI.f32) (*.f32 u2 2)))

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`log-prod_binary32`
398×	`pow-prod-down_binary32`
311×	`pow2_binary32`
276×	`pow-unpow_binary32`
216×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	277	26
2	3089	26

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

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) 1/6) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (*.f32 (pow.f32 (log1p.f32 u1) 1/18) (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/12) (pow.f32 (log1p.f32 u1) 5/12))))) (#(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 (log1p.f32 u1) 5/12) (pow.f32 (log1p.f32 u1) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (log1p.f32 u1)) 1) (pow.f32 (log1p.f32 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (pow.f32 (log1p.f32 u1) 1/18))))) (#(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 (log.f32 (cbrt.f32 (log1p.f32 u1))) 3/2))))) (#(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 (*.f32 1/4 (log.f32 (log1p.f32 u1))) 2))))) (#(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 1/6 (log.f32 (log1p.f32 u1))) 1) 3))))) (#(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 exp.f32 (*.f32 (*.f32 (*.f32 1/6 (log.f32 (log1p.f32 u1))) 3/2) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (log1p.f32 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/6))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/6)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (log1p.f32 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/18) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/12) (pow.f32 (log1p.f32 u1) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 1/6 (log.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/6 (log.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (log1p.f32 u1))) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/12 (log.f32 (log1p.f32 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (*.f32 1/6 (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) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/12) 2))))))

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

simplify242.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

726×	`distribute-rgt-in_binary32`
723×	`distribute-lft-in_binary32`
359×	`fma-def_binary32`
239×	`*-commutative_binary32`
218×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	4023
1	1107	3700
2	4388	3452

Stop Event

1×	node limit

Counts

125 → 145

Calls

Call 1

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

Outputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (*.f32 -1/6 (sqrt.f32 u1))) u1))
(+.f32 (sqrt.f32 u1) (.f32 u1 (.f32 (sqrt.f32 u1) -1/4)))
(fma.f32 u1 (*.f32 (sqrt.f32 u1) -1/4) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (.f32 -1/6 (sqrt.f32 u1))) u1) (.f32 (+.f32 (.f32 1/72 (sqrt.f32 u1)) (+.f32 (.f32 11/288 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3)))))) (pow.f32 u1 2))))
(+.f32 (sqrt.f32 u1) (fma.f32 (.f32 (sqrt.f32 u1) -1/4) u1 (.f32 (fma.f32 1/72 (sqrt.f32 u1) (fma.f32 11/288 (sqrt.f32 u1) (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 1/12)))) (*.f32 u1 u1))))
(+.f32 (sqrt.f32 u1) (fma.f32 (+.f32 (.f32 (cbrt.f32 u1) (.f32 1/12 (pow.f32 u1 1/6))) (.f32 (sqrt.f32 u1) 5/96)) (.f32 u1 u1) (.f32 u1 (.f32 (sqrt.f32 u1) -1/4))))
(+.f32 (sqrt.f32 u1) (.f32 u1 (+.f32 (.f32 (sqrt.f32 u1) -1/4) (.f32 (+.f32 (.f32 (pow.f32 (pow.f32 u1 1/6) 3) 1/12) (*.f32 (sqrt.f32 u1) 5/96)) u1))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (.f32 -1/6 (sqrt.f32 u1))) u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3))))) (+.f32 (.f32 -247/10368 (sqrt.f32 u1)) (+.f32 (.f32 -11/1728 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 -11/1728 (pow.f32 (.f32 1 u1) 1/3)) (.f32 -247/5184 (pow.f32 (.f32 1 u1) 1/3))))))) (pow.f32 u1 3)) (.f32 (+.f32 (.f32 1/72 (sqrt.f32 u1)) (+.f32 (.f32 11/288 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3)))))) (pow.f32 u1 2)))))
(+.f32 (sqrt.f32 u1) (fma.f32 (.f32 (sqrt.f32 u1) -1/4) u1 (fma.f32 (fma.f32 -1/12 (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 1/12)) (fma.f32 -247/10368 (sqrt.f32 u1) (fma.f32 -11/1728 (sqrt.f32 u1) (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) -35/648))))) (pow.f32 u1 3) (.f32 (fma.f32 1/72 (sqrt.f32 u1) (fma.f32 11/288 (sqrt.f32 u1) (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 1/12)))) (*.f32 u1 u1)))))
(+.f32 (sqrt.f32 u1) (fma.f32 u1 (.f32 (sqrt.f32 u1) -1/4) (fma.f32 (fma.f32 -1/12 (.f32 (cbrt.f32 u1) (.f32 1/12 (pow.f32 u1 1/6))) (+.f32 (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) -35/648)) (.f32 (sqrt.f32 u1) -313/10368))) (pow.f32 u1 3) (.f32 u1 (.f32 u1 (+.f32 (.f32 (cbrt.f32 u1) (.f32 1/12 (pow.f32 u1 1/6))) (*.f32 (sqrt.f32 u1) 5/96)))))))
(+.f32 (fma.f32 u1 (.f32 (sqrt.f32 u1) -1/4) (sqrt.f32 u1)) (.f32 (.f32 u1 u1) (+.f32 (+.f32 (.f32 (pow.f32 (pow.f32 u1 1/6) 3) 1/12) (.f32 (sqrt.f32 u1) 5/96)) (.f32 (fma.f32 -1/12 (.f32 (pow.f32 (pow.f32 u1 1/6) 3) 1/12) (+.f32 (.f32 (pow.f32 (pow.f32 u1 1/6) 3) -35/648) (*.f32 (sqrt.f32 u1) -313/10368))) u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/6 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) -1/2))
(fma.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))) -1/2 (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 (/.f32 (sqrt.f32 -1) u1) -1/2)))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/18 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (/.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/3) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))))) (.f32 1/36 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/3))) (pow.f32 u1 2))) (+.f32 (.f32 -1/6 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 1/18 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (fma.f32 (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/6) (/.f32 (fma.f32 2 (.f32 (cbrt.f32 (neg.f32 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 1/72 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 1/12 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2)))))) (.f32 1/36 (cbrt.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 5))))) (.f32 u1 u1)) (+.f32 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) -1/2) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (+.f32 (/.f32 1/72 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (*.f32 1/12 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))))))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 1/18 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (fma.f32 (pow.f32 (log.f32 u1) 1/6) (/.f32 (fma.f32 2 (.f32 (cbrt.f32 (log.f32 u1)) (fma.f32 1/12 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/72 (.f32 (log.f32 u1) (log.f32 u1))))) (.f32 1/36 (cbrt.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 5))))) (.f32 u1 u1)) (fma.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))) -1/2 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 1/12 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/72 (*.f32 (log.f32 u1) (log.f32 u1)))) u1)))))))
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(fma.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32)))) (fma.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (.f32 (PI.f32) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (.f32 u1 u1)))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (PI.f32) u1)))))
(fma.f32 2 (.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (PI.f32) u1)) (neg.f32 (.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (/.f32 (.f32 u1 u1) (PI.f32))))))))
(fma.f32 2 (.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 u2 (PI.f32)))) (.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 u2 (sqrt.f32 -1))) (-.f32 (/.f32 (PI.f32) u1) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (/.f32 (*.f32 u1 u1) (PI.f32))))))
(+.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))))))))
(fma.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32)))) (fma.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (.f32 (PI.f32) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (.f32 u1 u1)))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (.f32 (PI.f32) (-.f32 1/3 (/.f32 (.f32 -1/2 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (.f32 (neg.f32 (log.f32 u1)) (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 u1 3))) (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (PI.f32) u1))))))
(fma.f32 2 (.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 (/.f32 u2 (sqrt.f32 -1)) (+.f32 (/.f32 (PI.f32) (/.f32 (pow.f32 u1 3) (+.f32 1/3 (/.f32 (.f32 1/2 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))) (log.f32 u1))))) (/.f32 (PI.f32) u1))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (neg.f32 (.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (/.f32 (.f32 u1 u1) (PI.f32))))))))
(fma.f32 2 (.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (-.f32 (.f32 (/.f32 u2 (sqrt.f32 -1)) (.f32 (+.f32 (/.f32 (+.f32 1/3 (/.f32 (+.f32 1/4 (.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2) 1/2)) (log.f32 u1))) (.f32 u1 u1)) 1) (/.f32 (PI.f32) u1))) (.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (/.f32 (.f32 u1 u1) (PI.f32)))))))
(.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 u2 (PI.f32))))
(.f32 2 (.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (*.f32 u2 (PI.f32))))
(.f32 2 (.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (.f32 2 (*.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))))))
(fma.f32 2 (.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (.f32 u2 (PI.f32))) (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 u2 (/.f32 u1 (PI.f32)))))
(fma.f32 2 (.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (.f32 u2 (PI.f32))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (.f32 (/.f32 u2 u1) (PI.f32))))
(fma.f32 2 (.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (.f32 u2 (PI.f32))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (.f32 u2 (/.f32 (PI.f32) u1))))
(+.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))))))
(fma.f32 2 (.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (.f32 u2 (PI.f32))) (fma.f32 (/.f32 u2 (/.f32 u1 (PI.f32))) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (.f32 (.f32 u2 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) -1/2) 2))) (PI.f32)) (*.f32 u1 u1))))))
(fma.f32 2 (.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (.f32 u2 (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (.f32 (/.f32 u2 u1) (PI.f32)) (/.f32 (.f32 (neg.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) u2) (.f32 (/.f32 u1 (PI.f32)) (/.f32 u1 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) -1/2) 2)))))))
(fma.f32 2 (.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (.f32 u2 (PI.f32))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (-.f32 (.f32 u2 (/.f32 (PI.f32) u1)) (.f32 (/.f32 u2 (.f32 u1 u1)) (.f32 (PI.f32) (+.f32 1/2 (.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/4)))))))
(+.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)))))))
(fma.f32 (/.f32 u2 (/.f32 (pow.f32 u1 3) (.f32 (PI.f32) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) -1/2) 2)) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))))) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (fma.f32 2 (.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (.f32 u2 (PI.f32))) (fma.f32 (/.f32 u2 (/.f32 u1 (PI.f32))) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (.f32 (.f32 u2 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) -1/2) 2))) (PI.f32)) (.f32 u1 u1)))))))
(fma.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (.f32 (/.f32 u2 (pow.f32 u1 3)) (.f32 (PI.f32) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) -1/2) 2)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3))) (fma.f32 2 (.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (.f32 u2 (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (.f32 (/.f32 u2 u1) (PI.f32)) (/.f32 (.f32 (neg.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) u2) (.f32 (/.f32 u1 (PI.f32)) (/.f32 u1 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) -1/2) 2))))))))
(fma.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (.f32 (/.f32 u2 (pow.f32 u1 3)) (.f32 (PI.f32) (fma.f32 1/2 (/.f32 (+.f32 1/2 (.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/4)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3))) (fma.f32 2 (.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (.f32 u2 (PI.f32))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (-.f32 (.f32 u2 (/.f32 (PI.f32) u1)) (.f32 (/.f32 u2 (.f32 u1 u1)) (.f32 (PI.f32) (+.f32 1/2 (*.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/4))))))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 (.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 (.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 (.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 (.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 (.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 (.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 (.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 (.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 (.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 (.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 (.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 (.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 u2 (PI.f32))))

localize102.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 58 to 32 computations (44.8% saved)

series22.0ms (0.2%)

Counts

4 → 32

Calls

15 calls:

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

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary32`
402×	`pow-prod-down_binary32`
316×	`pow-unpow_binary32`
287×	`pow2_binary32`
205×	`pow-to-exp_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	311	41
2	3437	41

Stop Event

1×	node limit

Counts

4 → 119

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (PI.f32) (.f32 u2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (.f32 u2 2)) (PI.f32))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (.f32 u2 2)) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (.f32 u2 2)) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (.f32 u2 2)) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 u2 (.f32 2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (PI.f32) (.f32 u2 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (PI.f32)) u2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) (.f32 u2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 (PI.f32) (.f32 u2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 4 (pow.f32 (PI.f32) 2))) (.f32 (cbrt.f32 (.f32 2 (PI.f32))) u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 u2) (.f32 (cbrt.f32 (.f32 2 (PI.f32))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (cbrt.f32 u2) (.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 2 (PI.f32))) (.f32 (sqrt.f32 (.f32 2 (PI.f32))) u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 u2) (.f32 (sqrt.f32 u2) (.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1/6) (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u2 2) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 5/6) (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u2 (PI.f32)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u2 (cbrt.f32 (.f32 4 (pow.f32 (PI.f32) 2)))) (cbrt.f32 (.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u2 (sqrt.f32 (.f32 2 (PI.f32)))) (sqrt.f32 (.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 2 (PI.f32)) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) 1) (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (cbrt.f32 u2)) (cbrt.f32 (.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2) (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 u2 2) 1) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 u2 2) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 u2 2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (.f32 u2 2)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (.f32 u2 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 2/3 (log.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (PI.f32) (.f32 u2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (.f32 u2 2)) (PI.f32))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (.f32 u2 2)) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (.f32 u2 2)) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (.f32 u2 2)) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (.f32 u2 2)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (.f32 u2 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 2/3 (log.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u2 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (.f32 u2 2)) (PI.f32)) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (.f32 u2 2)) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 (.f32 u2 2)) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 (.f32 u2 2)) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u2 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u2 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u2 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 (.f32 u2 2)) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u2 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u2 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u2 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u2 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u2 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u2 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (.f32 u2 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 u2 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 u2 (.f32 (*.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 2 (PI.f32))) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 u2) (cbrt.f32 (.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1/6) (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 u2 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 1/6 (log.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 2 (log.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 3/2))))))

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

615×	`associate-l_binary32`
596×	`distribute-neg-frac_binary32`
549×	`associate-r_binary32`
506×	`times-frac_binary32`
416×	`fma-def_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	1177
1	278	1013
2	1161	936
3	7130	934

Stop Event

1×	node limit

Counts

151 → 124

Calls

Call 1

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

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

localize162.0ms (1.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 62 to 21 computations (66.1% saved)

series7.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

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

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	284	29
2	3399	29

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

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

Outputs

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

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

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

747×	`fma-def_binary32`
400×	`*-commutative_binary32`
338×	`unswap-sqr_binary32`
289×	`associate-/r*_binary32`
280×	`distribute-lft-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	1782
1	513	1592
2	1765	1477
3	6076	1397

Stop Event

1×	node limit

Counts

128 → 132

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

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

eval546.0ms (4%)

Compiler: Compiled 18093 to 12486 computations (31% saved)

prune251.0ms (1.8%)

Pruning

67 alts after pruning (61 fresh and 6 done)

	Pruned	Kept	Total
New	583	25	608
Fresh	18	36	54
Picked	0	1	1
Done	3	5	8
Total	604	67	671

Error

0.1b

Counts

671 → 67

Alt Table

Click to see full alt table

Status	Error	Program
	10.9b	(.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))
	11.4b	(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (.f32 (PI.f32) (.f32 u2 2)))
	1.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 3)))))
	8.9b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 (.f32 u1 -1/2) -1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.7b	(.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)))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.7b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	20.4b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
	11.3b	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))))
▶	13.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))
	11.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 u2 2)))
	8.7b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	13.8b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	8.4b	(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
✓	6.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 3))
	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)))
	7.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (.f32 u2 (*.f32 2 (PI.f32))) 3) 1/3))
	10.9b	(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (*.f32 u2 2)) 3) (pow.f32 u1 3/2)))
	0.6b	(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
	4.4b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (sqrt.f32 (.f32 (.f32 u1 u1) 1/9))) (neg.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	6.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (.f32 u2 2) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32))))
	14.6b	(.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)))
	6.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (cbrt.f32 u2) (.f32 2 (PI.f32)))))
▶	6.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (.f32 (cbrt.f32 (*.f32 2 (PI.f32))) (cbrt.f32 u2)) 3))
	2.9b	(.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)))
	8.4b	(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	10.9b	(sqrt.f32 (.f32 u1 (pow.f32 (.f32 (PI.f32) (*.f32 u2 2)) 2)))
	1.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (exp.f32 (log.f32 (log1p.f32 (fma.f32 u1 u1 u1))))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	12.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	9.2b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2)))
	11.2b	(.f32 (pow.f32 (pow.f32 u1 1/6) 3) (.f32 (PI.f32) (*.f32 u2 2)))
	10.9b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))) 2)
	7.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 (PI.f32) (.f32 u2 2)))
	9.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))) 2)
	6.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2)))
▶	11.0b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))) 3)
	11.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 (PI.f32) (*.f32 u2 2)))
	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 3))
	8.4b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (.f32 u1 -1/2) (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2)))
	7.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1/3)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
✓	6.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
	6.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 u2 (sqrt.f32 (.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32)))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	6.3b	(.f32 (PI.f32) (.f32 (*.f32 2 u2) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3)))))))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	7.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
	23.5b	(-.f32 (+.f32 1 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))) 1)
✓	13.8b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.4b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	13.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	8.3b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
▶	10.9b	(.f32 u2 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
▶	0.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	11.3b	(.f32 u2 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))))
	14.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1)))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))

Compiler

Compiled 2319 to 1945 computations (16.1% saved)

localize168.0ms (1.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 125 to 67 computations (46.4% saved)

series20.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	u1	@	0	(pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)
3.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
3.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
3.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	inf	(pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

831×	`log-prod_binary32`
367×	`fma-def_binary32`
299×	`expm1-udef_binary32`
299×	`log1p-udef_binary32`
259×	`log-pow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	40
1	422	36
2	4867	36

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs

(pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)

(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

Outputs

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

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

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

805×	`fma-def_binary32`
726×	`times-frac_binary32`
606×	`associate-r_binary32`
597×	`associate-l_binary32`
385×	`associate-/r*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2566
1	516	1836
2	1773	1504

Stop Event

1×	node limit

Counts

68 → 82

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 15 computations (44.4% saved)

series10.0ms (0.1%)

Counts

2 → 12

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	0	(.f32 (PI.f32) (.f32 2 (sqrt.f32 u1)))
1.0ms	u1	@	inf	(.f32 (PI.f32) (.f32 2 (sqrt.f32 u1)))
1.0ms	u1	@	-inf	(.f32 (PI.f32) (.f32 2 (sqrt.f32 u1)))
0.0ms	u1	@	-inf	(.f32 u2 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
0.0ms	u2	@	0	(.f32 u2 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))

rewrite54.0ms (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 u2 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(.f32 (PI.f32) (.f32 2 (sqrt.f32 u1)))

Outputs

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

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

simplify13.0ms (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))))

localize86.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 28 computations (39.1% saved)

series120.0ms (0.9%)

Counts

3 → 36

Calls

18 calls:

Time	Variable		Point	Expression
90.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))) 3)
12.0ms	u1	@	0	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))) 3)
4.0ms	u2	@	inf	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))) 3)
3.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))) 3)
2.0ms	u2	@	0	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))) 3)

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

548×	`log-prod_binary32`
466×	`prod-exp_binary32`
390×	`exp-prod_binary32`
378×	`pow-prod-down_binary32`
266×	`pow2_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	250	41
2	2660	41

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 u1) (*.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) (*.f32 2 (PI.f32))) (sqrt.f32 u1))) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) (*.f32 2 (PI.f32))) (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) (*.f32 2 (PI.f32))) (sqrt.f32 u1)))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) (*.f32 2 (PI.f32))) (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (*.f32 (+.f32 u2 u2) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 u2 u2) (*.f32 (sqrt.f32 u1) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))) (cbrt.f32 (*.f32 u1 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u1 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 4))) (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 u1) (*.f32 (pow.f32 u1 1/6) (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 u1 1/6) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (cbrt.f32 (*.f32 u1 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cbrt.f32 (*.f32 u1 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 4)))) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (*.f32 u1 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (pow.f32 (*.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) u1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))) 1/6) (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))))) (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (pow.f32 u1 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 u1 1/6) (cbrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cbrt.f32 (*.f32 u1 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cbrt.f32 (*.f32 u1 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 4)))) (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))) 1/6) (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (PI.f32))) (cbrt.f32 (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u1 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 4)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u1 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 u1 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 4)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1/3) (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))))) 2)) (cbrt.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))))) (sqrt.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (cbrt.f32 (*.f32 u1 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/6 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (cbrt.f32 (*.f32 u1 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 4))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2)))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (+.f32 u2 u2))))) 1) 1))))))

simplify208.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

763×	`unswap-sqr_binary32`
738×	`sqr-pow_binary32`
578×	`fabs-mul_binary32`
570×	`cube-prod_binary32`
435×	`*-commutative_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	600
1	102	556
2	278	556
3	839	556
4	1082	556
5	1349	556
6	1964	556
7	3096	556
8	3377	556
9	3732	556
10	4000	556
11	4310	556
12	4789	556
13	5423	556
14	6240	556
15	7372	556

Stop Event

1×	node limit

Counts

196 → 131

Calls

Call 1

Inputs
(.f32 2 (.f32 (pow.f32 1 1/6) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(.f32 2 (.f32 (pow.f32 1 1/6) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(.f32 2 (.f32 (pow.f32 1 1/6) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(.f32 2 (.f32 (pow.f32 1 1/6) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(.f32 2 (.f32 (pow.f32 1 1/6) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(.f32 2 (.f32 (pow.f32 1 1/6) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(.f32 2 (.f32 (pow.f32 1 1/6) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(.f32 2 (.f32 (pow.f32 1 1/6) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(.f32 2 (.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 u2 (PI.f32))) (*.f32 (pow.f32 1 1/6) (sqrt.f32 u1))))
(.f32 2 (.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 u2 (PI.f32))) (*.f32 (pow.f32 1 1/6) (sqrt.f32 u1))))
(.f32 2 (.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 u2 (PI.f32))) (*.f32 (pow.f32 1 1/6) (sqrt.f32 u1))))
(.f32 2 (.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 u2 (PI.f32))) (*.f32 (pow.f32 1 1/6) (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)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (sqrt.f32 1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 1/3) (.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(.f32 (sqrt.f32 1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 1/3) (.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(.f32 (sqrt.f32 1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 1/3) (.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(.f32 (sqrt.f32 1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 1/3) (.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(.f32 (sqrt.f32 1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 1/3) (.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(.f32 (sqrt.f32 1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 1/3) (.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(.f32 (sqrt.f32 1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 1/3) (.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(.f32 (sqrt.f32 1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 1/3) (.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(.f32 (pow.f32 (.f32 -1 u1) 1/6) (.f32 (pow.f32 (.f32 (sqrt.f32 -1) (.f32 1 (.f32 u2 (PI.f32)))) 1/3) (cbrt.f32 2)))
(.f32 (pow.f32 (.f32 -1 u1) 1/6) (.f32 (pow.f32 (.f32 (sqrt.f32 -1) (.f32 1 (.f32 u2 (PI.f32)))) 1/3) (cbrt.f32 2)))
(.f32 (pow.f32 (.f32 -1 u1) 1/6) (.f32 (pow.f32 (.f32 (sqrt.f32 -1) (.f32 1 (.f32 u2 (PI.f32)))) 1/3) (cbrt.f32 2)))
(.f32 (pow.f32 (.f32 -1 u1) 1/6) (.f32 (pow.f32 (.f32 (sqrt.f32 -1) (.f32 1 (.f32 u2 (PI.f32)))) 1/3) (cbrt.f32 2)))

Outputs
(.f32 2 (.f32 (pow.f32 1 1/6) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (pow.f32 1 1/6) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (pow.f32 1 1/6) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (pow.f32 1 1/6) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (pow.f32 1 1/6) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (pow.f32 1 1/6) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (pow.f32 1 1/6) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (pow.f32 1 1/6) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 u2 (PI.f32))) (*.f32 (pow.f32 1 1/6) (sqrt.f32 u1))))
(.f32 2 (.f32 (.f32 (.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2)) (*.f32 1 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 -2 (*.f32 u2 (PI.f32))))
(.f32 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))) -2)
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) -2))
(.f32 u2 (.f32 (sqrt.f32 u1) (*.f32 (PI.f32) -2)))
(.f32 2 (.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 u2 (PI.f32))) (*.f32 (pow.f32 1 1/6) (sqrt.f32 u1))))
(.f32 2 (.f32 (.f32 (.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2)) (*.f32 1 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 -2 (*.f32 u2 (PI.f32))))
(.f32 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))) -2)
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) -2))
(.f32 u2 (.f32 (sqrt.f32 u1) (*.f32 (PI.f32) -2)))
(.f32 2 (.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 u2 (PI.f32))) (*.f32 (pow.f32 1 1/6) (sqrt.f32 u1))))
(.f32 2 (.f32 (.f32 (.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2)) (*.f32 1 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 -2 (*.f32 u2 (PI.f32))))
(.f32 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))) -2)
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) -2))
(.f32 u2 (.f32 (sqrt.f32 u1) (*.f32 (PI.f32) -2)))
(.f32 2 (.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 u2 (PI.f32))) (*.f32 (pow.f32 1 1/6) (sqrt.f32 u1))))
(.f32 2 (.f32 (.f32 (.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2)) (*.f32 1 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) (.f32 -2 (*.f32 u2 (PI.f32))))
(.f32 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))) -2)
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) -2))
(.f32 u2 (.f32 (sqrt.f32 u1) (*.f32 (PI.f32) -2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 1/3) (.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(.f32 (cbrt.f32 (.f32 u2 (PI.f32))) (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6)))
(.f32 (sqrt.f32 1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 1/3) (.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(.f32 (cbrt.f32 (.f32 u2 (PI.f32))) (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6)))
(.f32 (sqrt.f32 1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 1/3) (.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(.f32 (cbrt.f32 (.f32 u2 (PI.f32))) (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6)))
(.f32 (sqrt.f32 1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 1/3) (.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(.f32 (cbrt.f32 (.f32 u2 (PI.f32))) (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6)))
(.f32 (sqrt.f32 1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 1/3) (.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(.f32 (cbrt.f32 (.f32 u2 (PI.f32))) (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6)))
(.f32 (sqrt.f32 1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 1/3) (.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(.f32 (cbrt.f32 (.f32 u2 (PI.f32))) (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6)))
(.f32 (sqrt.f32 1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 1/3) (.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(.f32 (cbrt.f32 (.f32 u2 (PI.f32))) (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6)))
(.f32 (sqrt.f32 1) (.f32 (pow.f32 (.f32 u2 (PI.f32)) 1/3) (.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(.f32 (cbrt.f32 (.f32 u2 (PI.f32))) (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6)))
(.f32 (pow.f32 (.f32 -1 u1) 1/6) (.f32 (pow.f32 (.f32 (sqrt.f32 -1) (.f32 1 (.f32 u2 (PI.f32)))) 1/3) (cbrt.f32 2)))
(.f32 (pow.f32 (neg.f32 u1) 1/6) (.f32 (cbrt.f32 2) (cbrt.f32 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 -1)))))
(.f32 (pow.f32 (neg.f32 u1) 1/6) (.f32 (cbrt.f32 2) (cbrt.f32 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 -1))))))
(.f32 (pow.f32 (.f32 -1 u1) 1/6) (.f32 (pow.f32 (.f32 (sqrt.f32 -1) (.f32 1 (.f32 u2 (PI.f32)))) 1/3) (cbrt.f32 2)))
(.f32 (pow.f32 (neg.f32 u1) 1/6) (.f32 (cbrt.f32 2) (cbrt.f32 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 -1)))))
(.f32 (pow.f32 (neg.f32 u1) 1/6) (.f32 (cbrt.f32 2) (cbrt.f32 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 -1))))))
(.f32 (pow.f32 (.f32 -1 u1) 1/6) (.f32 (pow.f32 (.f32 (sqrt.f32 -1) (.f32 1 (.f32 u2 (PI.f32)))) 1/3) (cbrt.f32 2)))
(.f32 (pow.f32 (neg.f32 u1) 1/6) (.f32 (cbrt.f32 2) (cbrt.f32 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 -1)))))
(.f32 (pow.f32 (neg.f32 u1) 1/6) (.f32 (cbrt.f32 2) (cbrt.f32 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 -1))))))
(.f32 (pow.f32 (.f32 -1 u1) 1/6) (.f32 (pow.f32 (.f32 (sqrt.f32 -1) (.f32 1 (.f32 u2 (PI.f32)))) 1/3) (cbrt.f32 2)))
(.f32 (pow.f32 (neg.f32 u1) 1/6) (.f32 (cbrt.f32 2) (cbrt.f32 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 -1)))))
(.f32 (pow.f32 (neg.f32 u1) 1/6) (.f32 (cbrt.f32 2) (cbrt.f32 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 -1))))))

localize143.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.2b	(sin.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))
✓	13.2b	(-.f32 (fma.f32 (PI.f32) u2 1) 1)

Compiler

Compiled 64 to 37 computations (42.2% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

12 calls:

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

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`log-prod_binary32`
370×	`prod-diff_binary32`
328×	`pow2_binary32`
238×	`pow-unpow_binary32`
229×	`pow1/3_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	308	41
2	3797	32

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

Inputs
(-.f32 (fma.f32 (PI.f32) u2 1) 1)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))
(sin.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))

Outputs

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

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

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

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-def_binary32`
517×	`associate-/l/_binary32`
379×	`*-commutative_binary32`
335×	`distribute-rgt-in_binary32`
328×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	1558
1	415	1380
2	1448	1236
3	4758	1152

Stop Event

1×	node limit

Counts

150 → 148

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

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))
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(+.f32 (.f32 (neg.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (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 u2 (.f32 (PI.f32) 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 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (pow.f32 u1 3))))) (/.f32 (fma.f32 -1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2) -1/4) (/.f32 (.f32 u1 u1) (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))))))
(-.f32 (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) u1) (.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 u1 u1)) (+.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 (/.f32 -1 u1)))) 1/3) u1) (+.f32 1/2 (pow.f32 (.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)))))) (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 2 (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (.f32 u2 (.f32 (PI.f32) 2)) (sqrt.f32 -1)))
(.f32 2 (.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 -1))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.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 (sqrt.f32 -1) (.f32 (.f32 u2 (PI.f32)) (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 u2 (.f32 (PI.f32) 2)) (sqrt.f32 -1)) (.f32 (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 -1))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 -1) (fma.f32 u2 (.f32 (PI.f32) 2) (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 -1) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 u2 (*.f32 (PI.f32) 2)))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(fma.f32 4/15 (.f32 (sqrt.f32 -1) (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (fma.f32 2 (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (sqrt.f32 -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 -1) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 u2 (.f32 (PI.f32) 2)) (sqrt.f32 -1)) (.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 -1)))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (sqrt.f32 -1) (fma.f32 u2 (.f32 (PI.f32) 2) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))) (.f32 4/15 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 -1) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 u2 (.f32 (PI.f32) 2) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(fma.f32 4/15 (.f32 (sqrt.f32 -1) (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (fma.f32 2 (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (fma.f32 -4/3 (.f32 (sqrt.f32 -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 (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 -8/315 (sqrt.f32 -1)) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 -1)))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 4/15 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))) (.f32 (.f32 u2 (.f32 (PI.f32) 2)) (sqrt.f32 -1)))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (sqrt.f32 -1) (fma.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) (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 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 u2 (.f32 (PI.f32) 2) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 u2 7) (*.f32 -8/315 (pow.f32 (PI.f32) 7))))))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))))
(.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (+.f32 (.f32 u2 (PI.f32)) 0)))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))))
(.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (+.f32 (.f32 u2 (PI.f32)) 0)))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))))
(.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (+.f32 (.f32 u2 (PI.f32)) 0)))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))))
(.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (+.f32 (.f32 u2 (PI.f32)) 0)))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))))
(.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (+.f32 (.f32 u2 (PI.f32)) 0)))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))))
(.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (+.f32 (.f32 u2 (PI.f32)) 0)))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))))
(.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (+.f32 (.f32 u2 (PI.f32)) 0)))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))))
(.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (+.f32 (.f32 u2 (PI.f32)) 0)))))
(.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 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 (.f32 u2 (PI.f32)) 2 (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 u2 (.f32 (PI.f32) 2) (.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 u2 (*.f32 (PI.f32) 2)))
(+.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)))))
(fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 u2 (.f32 (PI.f32) 2) (.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 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 u2 (.f32 (PI.f32) 2) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 u2 7) (*.f32 -8/315 (pow.f32 (PI.f32) 7))))))

localize75.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 62 to 33 computations (46.8% saved)

series13.0ms (0.1%)

Counts

4 → 20

Calls

15 calls:

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

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`log-prod_binary32`
446×	`pow-prod-down_binary32`
356×	`pow-unpow_binary32`
318×	`pow2_binary32`
227×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	329	36
2	3787	36

Stop Event

1×	node limit

Counts

4 → 97

Calls

Call 1

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

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

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

611×	`associate-l_binary32`
596×	`distribute-neg-frac_binary32`
548×	`associate-r_binary32`
506×	`times-frac_binary32`
416×	`fma-def_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	1081
1	274	917
2	1152	840
3	7121	838

Stop Event

1×	node limit

Counts

117 → 115

Calls

Call 1

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

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

eval421.0ms (3.1%)

Compiler: Compiled 15557 to 9874 computations (36.5% saved)

prune217.0ms (1.6%)

Pruning

69 alts after pruning (59 fresh and 10 done)

	Pruned	Kept	Total
New	610	20	630
Fresh	17	39	56
Picked	0	1	1
Done	1	9	10
Total	628	69	697

Error

0.1b

Counts

697 → 69

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 3)))))
	8.9b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 (.f32 u1 -1/2) -1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.7b	(.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)))
	8.3b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.7b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	20.4b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))
	11.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 u2 2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	10.8b	(.f32 u2 (sqrt.f32 (.f32 (pow.f32 (PI.f32) 2) (*.f32 u1 4))))
	8.7b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	6.3b	(.f32 u2 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))) (*.f32 (PI.f32) 2)))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	13.8b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
✓	6.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 3))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (.f32 u2 (*.f32 2 (PI.f32))) 3) 1/3))
	17.9b	(.f32 (+.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)))))) (sin.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))
	10.9b	(.f32 (cbrt.f32 u1) (.f32 (pow.f32 u1 1/6) (*.f32 (PI.f32) (+.f32 u2 u2))))
	4.4b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (sqrt.f32 (.f32 (.f32 u1 u1) 1/9))) (neg.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	6.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (.f32 u2 2) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32))))
	14.6b	(.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)))
	6.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (cbrt.f32 u2) (.f32 2 (PI.f32)))))
	17.7b	(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1) (sin.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))
	9.2b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2)))
	11.0b	(.f32 (.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) (cbrt.f32 u1)) (pow.f32 u1 1/6))
✓	6.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (.f32 (cbrt.f32 (*.f32 2 (PI.f32))) (cbrt.f32 u2)) 3))
	2.9b	(.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)))
	8.4b	(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (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 (.f32 (PI.f32) u2) 2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))))
	10.9b	(.f32 (.f32 (sqrt.f32 u1) (*.f32 (PI.f32) u2)) 2)
	30.5b	(.f32 u2 (.f32 (sqrt.f32 u1) (*.f32 (PI.f32) -2)))
	13.0b	(.f32 u2 (-.f32 (+.f32 1 (.f32 2 (*.f32 (sqrt.f32 u1) (PI.f32)))) 1))
	11.2b	(.f32 (pow.f32 (pow.f32 u1 1/6) 3) (.f32 (PI.f32) (*.f32 u2 2)))
	10.9b	(sqrt.f32 (.f32 u1 (pow.f32 (.f32 (PI.f32) (*.f32 u2 2)) 2)))
	0.6b	(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
	12.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 (PI.f32) (.f32 u2 2)))
	13.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (sin.f32 (.f32 (fma.f32 (PI.f32) u2 1) 2)) (cos.f32 -2)) (.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) u2 1) 2)) (sin.f32 -2))))
	9.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))) 2)
	6.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2)))
	10.9b	(.f32 (.f32 (sqrt.f32 u1) (+.f32 u2 u2)) (PI.f32))
	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 3))
	8.4b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (.f32 u1 -1/2) (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2)))
	7.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1/3)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	6.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
	6.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 u2 (sqrt.f32 (.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32)))))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	7.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
	23.5b	(-.f32 (+.f32 1 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))) 1)
✓	13.8b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.4b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	13.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log.f32 (exp.f32 (*.f32 (PI.f32) u2))))))
✓	10.9b	(.f32 u2 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	16.4b	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (sin.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))
	11.3b	(.f32 u2 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1)))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))

Compiler

Compiled 1241 to 1042 computations (16% saved)

regimes1.3s (9.1%)

Counts

117 → 1

Calls

Call 1

Inputs
(.f32 (.f32 (sqrt.f32 u1) (*.f32 (PI.f32) u2)) 2)
(.f32 u2 (.f32 (sqrt.f32 u1) (*.f32 (PI.f32) -2)))
(.f32 (.f32 (sqrt.f32 u1) (+.f32 u2 u2)) (PI.f32))
(.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 u2 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 u2 (-.f32 (+.f32 1 (.f32 2 (*.f32 (sqrt.f32 u1) (PI.f32)))) 1))
(-.f32 (+.f32 1 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 (PI.f32) (.f32 u2 2)))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 u2 (.f32 (PI.f32) (*.f32 2 (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 u2 2)) 2)))
(.f32 (pow.f32 (log1p.f32 u1) 1/2) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 (pow.f32 (pow.f32 u1 1/6) 3) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.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 u2 2)))
(.f32 (cbrt.f32 u1) (.f32 (pow.f32 u1 1/6) (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) (cbrt.f32 u1)) (pow.f32 u1 1/6))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (.f32 u1 -1/2) (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2)))
(.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 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))) 3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (.f32 u2 (*.f32 2 (PI.f32))) 2)))
(pow.f32 (.f32 (PI.f32) (.f32 (*.f32 u2 2) (sqrt.f32 (log1p.f32 u1)))) 1)
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (.f32 (PI.f32) (*.f32 u2 2)))
(.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 u2 2)) 3) (pow.f32 u1 3/2)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (.f32 (PI.f32) (.f32 u2 2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 (PI.f32) (*.f32 u2 2)))
(.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 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2))))) (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)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2)))
(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (*.f32 u2 2) (sqrt.f32 (log1p.f32 u1))))) 2)
(pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 (*.f32 u2 2) (sqrt.f32 (log1p.f32 u1))))) 3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2)))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (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) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (log1p.f32 u1) 1/2) (sin.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (.f32 (PI.f32) (.f32 u2 2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (.f32 u2 (*.f32 2 (PI.f32))) 3) 1/3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1/3)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (sqrt.f32 (.f32 (.f32 u1 u1) 1/9))) (neg.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 4) -1/4 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
(.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))) 2)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))) 3)
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 (PI.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 (log.f32 (exp.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)))) (sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.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)))) (pow.f32 (.f32 (cbrt.f32 (*.f32 2 (PI.f32))) (cbrt.f32 u2)) 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 (cbrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (sin.f32 (.f32 u2 (.f32 (PI.f32) 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 (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)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (cbrt.f32 u2) (.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 u2 (sqrt.f32 (.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2))
(.f32 u2 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))) (*.f32 (PI.f32) 2)))
(.f32 (PI.f32) (.f32 (*.f32 2 u2) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3)))))))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1)))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1) (sin.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (.f32 u2 2) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 u1 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 3)))))
(.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 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (PI.f32))) (cbrt.f32 u2)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (exp.f32 (log.f32 (log1p.f32 (fma.f32 u1 u1 u1))))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 2) (cbrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))))
(.f32 (sqrt.f32 (neg.f32 (.f32 (cbrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (.f32 11/12 (pow.f32 u1 4)))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (sin.f32 (.f32 (fma.f32 (PI.f32) u2 1) 2)) (cos.f32 -2)) (.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) u2 1) 2)) (sin.f32 -2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.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 (.f32 (PI.f32) u2) 2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.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 (.f32 (PI.f32) u2) 2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))))
(.f32 (+.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)))))) (sin.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))

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

Calls

16 calls:

190.0ms	(.f32 (.f32 2 (PI.f32)) u2)
104.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
99.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
97.0ms	(log.f32 (-.f32 1 u1))
87.0ms	(.f32 (.f32 2 (PI.f32)) u2)

Results

Error	Segments	Branch
0.6b	1	`cosTheta_i`
0.6b	1	`u1`
0.6b	1	`u2`
0.6b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.6b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.6b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.6b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.6b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.6b	1	`(log.f32 (-.f32 1 u1))`
0.6b	1	`(log.f32 (-.f32 1 u1))`
0.6b	1	`(-.f32 1 u1)`
0.6b	1	`(-.f32 1 u1)`
0.6b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.6b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.6b	1	`(.f32 (.f32 2 (PI.f32)) u2)`
0.6b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1892 to 1097 computations (42% saved)

regimes105.0ms (0.8%)

Counts

36 → 1

Calls

Call 1

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

Outputs
(.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

5 calls:

20.0ms	cosTheta_i
19.0ms	(.f32 (.f32 2 (PI.f32)) u2)
18.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
18.0ms	u1
17.0ms	u2

Results

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

Compiler

Compiled 437 to 277 computations (36.6% saved)

regimes176.0ms (1.3%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

7 calls:

34.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
33.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
22.0ms	(.f32 (.f32 2 (PI.f32)) u2)
22.0ms	u2
22.0ms	u1

Results

Error	Segments	Branch
4.1b	1	`cosTheta_i`
2.7b	2	`u1`
2.4b	2	`u2`
2.4b	3	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.4b	3	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.4b	2	`(.f32 (.f32 2 (PI.f32)) u2)`
2.4b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 300 to 195 computations (35% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.005523765459656715	0.005620481446385384

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes112.0ms (0.8%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

5 calls:

31.0ms	u1
22.0ms	(.f32 (.f32 2 (PI.f32)) u2)
22.0ms	u2
20.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
11.0ms	cosTheta_i

Results

Error	Segments	Branch
6.4b	1	`cosTheta_i`
4.1b	2	`u1`
3.6b	2	`u2`
4.5b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
3.6b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 267 to 168 computations (37.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.008805320598185062	0.009989392012357712

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes95.0ms (0.7%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

5 calls:

25.0ms	u1
19.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
17.0ms	u2
17.0ms	(.f32 (.f32 2 (PI.f32)) u2)
9.0ms	cosTheta_i

Results

Error	Segments	Branch
7.6b	1	`cosTheta_i`
5.4b	2	`u1`
4.7b	2	`u2`
5.6b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
4.7b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 217 to 142 computations (34.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.008805320598185062	0.009989392012357712

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes33.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	u2
9.0ms	u1
8.0ms	cosTheta_i

Results

Error	Segments	Branch
7.6b	1	`cosTheta_i`
7.6b	1	`u1`
7.6b	1	`u2`

Compiler

Compiled 189 to 122 computations (35.4% saved)

regimes19.0ms (0.1%)

Accuracy

Total -19.8b remaining (-182.5%)

Threshold costs -19.8b (-182.5%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	u1
5.0ms	u2
5.0ms	cosTheta_i

Results

Error	Segments	Branch
10.9b	1	`cosTheta_i`
10.9b	1	`u1`
10.9b	1	`u2`

Compiler

Compiled 89 to 56 computations (37.1% saved)

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

40×	`distribute-rgt-neg-in_binary32`
31×	`cancel-sign-sub-inv_binary32`
30×	`*-commutative_binary32`
27×	`distribute-lft-neg-in_binary32`
23×	`neg-sub0_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	259
1	88	259
2	133	257
3	205	251
4	264	251
5	319	251
6	348	251
7	352	251

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))))
(.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) 3006477/536870912) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 (.f32 u1 -1/2) -1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 2415919/268435456) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 2415919/268435456) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (neg.f32 (neg.f32 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))) (.f32 (PI.f32) (.f32 u2 2)))
(.f32 (.f32 (sqrt.f32 u1) (*.f32 (PI.f32) u2)) 2)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.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))) (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 u2 (.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 (neg.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1)) (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (+.f32 -1/2 (.f32 u1 -1/3)) (.f32 u1 (neg.f32 u1))))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 3006477/536870912) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 (.f32 u1 -1/2) -1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 3006477/536870912) (.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 (neg.f32 u1) (+.f32 (.f32 u1 -1/2) -1)))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 3006477/536870912) (.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 1 (.f32 u1 -1/2))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 2415919/268435456) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 2415919/268435456) (.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 u1)))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 2415919/268435456) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 2415919/268435456) (.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 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 2415919/268435456) (.f32 (sqrt.f32 (+.f32 (neg.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1)) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 2415919/268435456) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (+.f32 -1/2 (.f32 u1 -1/3)) (.f32 u1 (neg.f32 u1))))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 2415919/268435456) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (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 u2 2)))
(.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 (+.f32 (neg.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1)) (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (+.f32 -1/2 (.f32 u1 -1/3)) (.f32 u1 (neg.f32 u1))))) (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (.f32 (sqrt.f32 u1) (*.f32 (PI.f32) u2)) 2)
(.f32 2 (.f32 (*.f32 (PI.f32) u2) (sqrt.f32 u1)))

Compiler

Compiled 175 to 136 computations (22.3% saved)

soundness21.0ms (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)

end74.0ms (0.5%)

Compiler: Compiled 157 to 99 computations (36.9% saved)

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

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

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

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

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

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

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

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

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