Details

analyze157.0ms (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 37 to 28 computations (24.3% saved)

sample2.0s (20%)

Results

2.0s	8256×	body	256	valid
1.0ms	3×	body	256	precondition

Bogosity

preprocess45.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

33×	`sub-neg_binary32`
24×	`fma-def_binary32`
21×	`+-commutative_binary32`
13×	`*-commutative_binary32`
12×	`div-sub_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	68
1	40	68
2	50	68
3	66	68
4	86	68
5	112	68
6	143	68
7	190	68
8	234	68
9	243	68
10	246	68
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 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 cosTheta_i)))
(.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (.f32 314159265359/50000000000 u1)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 cosTheta_i)))
(.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (.f32 314159265359/50000000000 u1)))
(.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (.f32 u1 314159265359/50000000000)))

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`sub-neg_binary32`
7×	`+-commutative_binary32`
6×	`fma-def_binary32`
4×	`*-commutative_binary32`
4×	`div-sub_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	35	17
5	45	17
6	58	17
7	76	17
8	89	17
9	92	17
10	93	17

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

eval0.0ms (0%)

Compiler: Compiled 14 to 11 computations (21.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize87.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 39 to 27 computations (30.8% saved)

series10.0ms (0.1%)

Counts

4 → 40

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary32`
403×	`exp-prod_binary32`
324×	`pow-prod-down_binary32`
286×	`pow2_binary32`
271×	`prod-diff_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	228	37
2	2842	37

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

Inputs
(*.f32 314159265359/50000000000 u2)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 u1 (-.f32 1 u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 314159265359/50000000000 u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 314159265359/50000000000 u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (log.f32 (.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (log.f32 (.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 314159265359/50000000000 u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 314159265359/50000000000 u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (.f32 314159265359/50000000000 u2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (.f32 314159265359/50000000000 u2)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 2)) (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))) (sqrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 u1 (/.f32 1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 u1 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 u1) 2) (.f32 (cbrt.f32 u1) (/.f32 1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 u1) (/.f32 1 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (-.f32 1 u1)) u1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (-.f32 1 u1) -1/2) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (/.f32 1 u1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 (/.f32 1 u1) 1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 u1 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (-.f32 (/.f32 1 u1) 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1/2) (log.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 1/4 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 1))))))

simplify132.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

613×	`times-frac_binary32`
598×	`associate-/l*_binary32`
336×	`log-prod_binary32`
269×	`sqr-pow_binary32`
180×	`exp-prod_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	459	2940
1	1098	2780
2	3614	2692

Stop Event

1×	node limit

Counts

193 → 276

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 0 (*.f32 314159265359/50000000000 u2))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (*.f32 314159265359/50000000000 u2) 1)
(pow.f32 (E.f32) (log.f32 (*.f32 314159265359/50000000000 u2)))
(pow.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)) 1/2)
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)
(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (log.f32 (.f32 314159265359/50000000000 u2))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (log.f32 (.f32 314159265359/50000000000 u2))))
(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))))
(cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))
(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))
(log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (.f32 (log.f32 (.f32 314159265359/50000000000 u2)) 1))
(exp.f32 (.f32 (.f32 3 (log.f32 (*.f32 314159265359/50000000000 u2))) 1/3))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2))) 3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (*.f32 314159265359/50000000000 u2)) 1) 1))
(+.f32 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (E.f32) (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/2)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 2)) (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))) (sqrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(exp.f32 (.f32 (log.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)) 1/3))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 1) 1))
(+.f32 0 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 u1 (/.f32 1 (-.f32 1 u1)))
(*.f32 1 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (pow.f32 (cbrt.f32 u1) 2) (.f32 (cbrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4))
(*.f32 (neg.f32 u1) (/.f32 1 (neg.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))
(.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)
(pow.f32 (E.f32) (log.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2) 1/2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 2/3)
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)
(pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 4)
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1)
(pow.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)) 1/3)
(pow.f32 (/.f32 (-.f32 (/.f32 1 u1) 1) 1) -1)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 1 u1))))
(sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2))
(log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))
(cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))
(expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))
(exp.f32 (.f32 (.f32 2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2))
(exp.f32 (.f32 (.f32 3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(exp.f32 (*.f32 (log.f32 (-.f32 (/.f32 1 u1) 1)) -1))
(exp.f32 (.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1))
(exp.f32 (.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) 2))
(exp.f32 (.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 2))
(+.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
(*.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4))
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(pow.f32 (E.f32) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2) 1/4)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
(pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2)
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(pow.f32 (exp.f32 1/2) (log.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)) -1)
(pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)) -1)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(exp.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3))
(exp.f32 (.f32 (.f32 1/4 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1/2))
(exp.f32 (.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) 1))
(exp.f32 (.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 1))

Outputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 u1 u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (/.f32 (.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (/.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 u1 u1)) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(+.f32 (fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (+.f32 -1/2 (.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1)))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
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(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
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(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
(*.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2)
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (E.f32) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2) 1/4)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -2) 1/4)
(pow.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -2) 1/4)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2)
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2)
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2)
(pow.f32 (exp.f32 1/2) (log.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)) -1)
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)) -1)
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (.f32 (.f32 1/4 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1/2))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) 1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

eval141.0ms (1.4%)

Compiler: Compiled 5354 to 4242 computations (20.8% saved)

prune86.0ms (0.8%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	251	25	276
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	251	26	277

Error

0.0b

Counts

277 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	2.9b	(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	0.5b	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
▶	1.5b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.5b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.7b	(.f32 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.1b	(.f32 (pow.f32 (exp.f32 1/2) (log.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.3b	(.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	3.8b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1)))
	2.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
▶	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.8b	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.7b	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶	0.3b	(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	5.6b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	1.6b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))

Compiler

Compiled 854 to 687 computations (19.6% saved)

localize63.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
✓	0.4b	(.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000)

Compiler

Compiled 56 to 33 computations (41.1% saved)

series4.0ms (0%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000)
1.0ms	u2	@	inf	(.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000)
0.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
0.0ms	u2	@	-inf	(sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`log-prod_binary32`
402×	`pow-prod-down_binary32`
346×	`prod-diff_binary32`
326×	`pow2_binary32`
228×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	271	28
2	3333	28

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs
(.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))

Inputs

(*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))

(sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000)) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 314159265359/50000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u2 314159265359/50000000000)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 1))))))
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Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000)) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 314159265359/50000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1))))))

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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 314159265359/50000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) (cbrt.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (sqrt.f32 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 314159265359/50000000000 u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 314159265359/50000000000)) 1))))))

simplify136.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

654×	`fma-def_binary32`
412×	`unswap-sqr_binary32`
405×	`log-prod_binary32`
310×	`distribute-rgt-in_binary32`
306×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	226	1481
1	537	1396
2	1597	1337
3	6720	1335

Stop Event

1×	node limit

Counts

115 → 128

Calls

Call 1

Inputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(+.f32 0 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000)) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))))
(-.f32 (exp.f32 (log1p.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))) 1)
(pow.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) 1)
(pow.f32 (*.f32 u2 314159265359/50000000000) 2)
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 2/3)
(pow.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000) 1/2)
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 6) 1/3)
(pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 6)
(pow.f32 (cbrt.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) 3)
(pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 4)
(sqrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))
(log.f32 (+.f32 1 (expm1.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))))
(cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 6))
(expm1.f32 (log1p.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))
(log1p.f32 (expm1.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))
(exp.f32 (log.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))
(exp.f32 (.f32 (log.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1))
(+.f32 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))) 1)
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))) 1)
(pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) 1/2)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 2)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))) 3))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))) 1))
(+.f32 0 (*.f32 u2 314159265359/50000000000))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000))) 1)
(*.f32 u2 314159265359/50000000000)
(*.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))
(.f32 1 (.f32 u2 314159265359/50000000000))
(.f32 (.f32 u2 314159265359/50000000000) 1)
(.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))
(.f32 (cbrt.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) (cbrt.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (sqrt.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (*.f32 u2 314159265359/50000000000)))
(.f32 (sqrt.f32 u2) (sqrt.f32 (.f32 u2 98696044010906577398881/2500000000000000000000)))
(*.f32 314159265359/50000000000 u2)
(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
(.f32 (pow.f32 1 1/2) (.f32 u2 314159265359/50000000000))
(pow.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) 1/2)
(pow.f32 (*.f32 u2 314159265359/50000000000) 1)
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 1/3)
(pow.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000) 1/4)
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 6) 1/6)
(pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 3)
(pow.f32 (cbrt.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) 3/2)
(pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2)
(fabs.f32 (*.f32 u2 314159265359/50000000000))
(log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 314159265359/50000000000))))
(cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3))
(expm1.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))
(log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (log.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (.f32 (log.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1/2))
(exp.f32 (.f32 (log.f32 (.f32 u2 314159265359/50000000000)) 1))

Outputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 -1/2 (/.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) u1) (sqrt.f32 -1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 u2 314159265359/50000000000)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 -1/2 (/.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) u1) (sqrt.f32 -1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) u1) (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 u1 u1))))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 u2 314159265359/50000000000)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) u1) (sqrt.f32 -1)) (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (/.f32 (sqrt.f32 -1) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(fma.f32 -1/2 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) u1) (.f32 (+.f32 1 (+.f32 -1/2 (.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 u1 3)))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))) u1) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 1/2 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))) u1) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))) u1) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))) (fma.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 u1 3)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))) (fma.f32 5/16 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(fma.f32 1/2 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (*.f32 u1 u1)) (sqrt.f32 -1)) (+.f32 3/8 (/.f32 5/16 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000 1))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 6)))))
(+.f32 (.f32 (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 -314159265359/50000000000)))
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)
(+.f32 0 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000)) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))))
(*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(-.f32 (exp.f32 (log1p.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))) 1)
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(pow.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) 1)
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(pow.f32 (*.f32 u2 314159265359/50000000000) 2)
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 2/3)
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(pow.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000) 1/2)
(sqrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 6) 1/3)
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 6)
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(pow.f32 (cbrt.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) 3)
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 4)
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(sqrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 98696044010906577398881/2500000000000000000000))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(log.f32 (+.f32 1 (expm1.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 6))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(expm1.f32 (log1p.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(log1p.f32 (expm1.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(exp.f32 (log.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(exp.f32 (.f32 (log.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(+.f32 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))) 1)
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))) 1)
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) 1/2)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1))))
(fabs.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))) 3) 1/3)
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 2)
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1))))
(fabs.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))) 3))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))) 1))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 0 (*.f32 u2 314159265359/50000000000))
(*.f32 u2 314159265359/50000000000)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))
(*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))
(*.f32 u2 314159265359/50000000000)
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000))) 1)
(*.f32 u2 314159265359/50000000000)
(*.f32 u2 314159265359/50000000000)
(*.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))
(*.f32 u2 314159265359/50000000000)
(.f32 1 (.f32 u2 314159265359/50000000000))
(*.f32 u2 314159265359/50000000000)
(.f32 (.f32 u2 314159265359/50000000000) 1)
(*.f32 u2 314159265359/50000000000)
(.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))
(*.f32 u2 314159265359/50000000000)
(.f32 (cbrt.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) (cbrt.f32 (.f32 u2 314159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(.f32 (sqrt.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(.f32 (sqrt.f32 u2) (sqrt.f32 (.f32 u2 98696044010906577398881/2500000000000000000000)))
(.f32 (sqrt.f32 u2) (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 u2)))
(.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 u2)) (sqrt.f32 u2))
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
(*.f32 u2 314159265359/50000000000)
(.f32 (pow.f32 1 1/2) (.f32 u2 314159265359/50000000000))
(*.f32 u2 314159265359/50000000000)
(pow.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) 1/2)
(*.f32 u2 314159265359/50000000000)
(pow.f32 (*.f32 u2 314159265359/50000000000) 1)
(*.f32 u2 314159265359/50000000000)
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 1/3)
(*.f32 u2 314159265359/50000000000)
(pow.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000) 1/4)
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 6) 1/6)
(pow.f32 (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/15625000000000000000000000000000000000000000000000000000000000000) 1/6)
(pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 3)
(*.f32 u2 314159265359/50000000000)
(pow.f32 (cbrt.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) 3/2)
(*.f32 u2 314159265359/50000000000)
(pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2)
(*.f32 u2 314159265359/50000000000)
(fabs.f32 (*.f32 u2 314159265359/50000000000))
(*.f32 u2 314159265359/50000000000)
(log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))
(*.f32 u2 314159265359/50000000000)
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 u2 314159265359/50000000000)
(cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3))
(*.f32 u2 314159265359/50000000000)
(expm1.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(exp.f32 (log.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(exp.f32 (.f32 (log.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1/2))
(*.f32 u2 314159265359/50000000000)
(exp.f32 (.f32 (log.f32 (.f32 u2 314159265359/50000000000)) 1))
(*.f32 u2 314159265359/50000000000)

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	0.2b	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize63.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
✓	0.2b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))
	0.4b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 72 to 42 computations (41.7% saved)

series7.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	0	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u2	@	-inf	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`prod-diff_binary32`
748×	`log-prod_binary32`
341×	`fma-def_binary32`
256×	`log1p-udef_binary32`
255×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	307	33
2	4178	33

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

Inputs

(*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))

(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))

(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1)))

Outputs

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

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

454×	`associate-*l/_binary32`
360×	`associate-*r/_binary32`
215×	`associate-+l+_binary32`
188×	`associate-/r/_binary32`
181×	`associate-+r+_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	4334
1	1152	3750
2	3580	3405

Stop Event

1×	node limit

Counts

185 → 281

Calls

Call 1

Inputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))))))
(+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (/.f32 (.f32 u1 u1) (-.f32 1 (*.f32 u1 u1))))
(+.f32 0 (/.f32 u1 (-.f32 1 u1)))
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(hypot.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))) (sqrt.f32 u1)))
(hypot.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (-.f32 1 (.f32 u1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))
(hypot.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))
(hypot.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1)))) (sqrt.f32 u1)) (sqrt.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))

Outputs
u1
(+.f32 (pow.f32 u1 2) u1)
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (*.f32 u1 u1))
(+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 u1))
(+.f32 u1 (fma.f32 u1 u1 (pow.f32 u1 3)))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (fma.f32 u1 u1 (pow.f32 u1 4)) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 (/.f32 -1 u1) u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))))
(-.f32 -1 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 (/.f32 -1 u1) u1))) (/.f32 1 (pow.f32 u1 3)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 (/.f32 -1 u1) u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))))
(-.f32 -1 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 (/.f32 -1 u1) u1))) (/.f32 1 (pow.f32 u1 3)))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (/.f32 -1/2 (sqrt.f32 -1)) u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))))))
(+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3))))))
(+.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 -1/2 (.f32 -1/2 (+.f32 -1/2 (.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)))) (pow.f32 u1 3)))) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 1/2 (/.f32 (sqrt.f32 -1) u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (.f32 (sqrt.f32 -1) 3/8) (cos.f32 (.f32 314159265359/50000000000 u2))) (*.f32 u1 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 3/8 u1) 1/2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 5/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))))))
(+.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 1/2 (/.f32 (sqrt.f32 -1) u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) u1)) (+.f32 3/8 (/.f32 5/16 u1))))
(sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))
(sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1))))
(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))) (.f32 u2 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))
(.f32 (+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 1) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))))))
(+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))) (.f32 u2 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))) (pow.f32 u2 4))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))))) (.f32 (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))))))
(fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))) (pow.f32 u2 6)) (+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))) (.f32 u2 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1)))) (pow.f32 u2 4)))))
(+.f32 (.f32 (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1))))) (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2))))
(+.f32 (.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
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(hypot.f32 (sqrt.f32 (.f32 u1 (/.f32 u1 (-.f32 1 (.f32 u1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))
(hypot.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 1 u1) u1))) (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))))
(hypot.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))
(hypot.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))))
(hypot.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1)))) (sqrt.f32 u1)) (sqrt.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))
(hypot.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))
(hypot.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

localize59.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
	0.4b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 51 to 37 computations (27.5% saved)

series4.0ms (0%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
1.0ms	u1	@	inf	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
0.0ms	u1	@	-inf	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
0.0ms	u1	@	0	(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	inf	(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`log-prod_binary32`
333×	`pow-prod-down_binary32`
327×	`pow2_binary32`
271×	`prod-diff_binary32`
227×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	272	27
2	3302	27

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))))))

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

567×	`associate-l_binary32`
544×	`associate-r_binary32`
517×	`fma-def_binary32`
377×	`log-prod_binary32`
351×	`times-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	1481
1	510	1399
2	1468	1285
3	7031	1285

Stop Event

1×	node limit

Counts

70 → 107

Calls

Call 1

Inputs
(sqrt.f32 (pow.f32 u1 3))
(+.f32 (*.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 (pow.f32 u1 3)))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (.f32 15/8 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 35/16 (sqrt.f32 (pow.f32 u1 9))) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 0 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))) 1)
(*.f32 1 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(*.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u1 (-.f32 1 u1)))
(*.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -3/4) (pow.f32 (/.f32 (-.f32 1 u1) u1) -3/4))
(*.f32 (pow.f32 u1 3/2) (pow.f32 (-.f32 1 u1) -3/2))
(*.f32 (pow.f32 1 3/2) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))
(.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))
(log.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 9/2))
(expm1.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(log1p.f32 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(exp.f32 (*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(+.f32 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/2)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))

Outputs
(sqrt.f32 (pow.f32 u1 3))
(pow.f32 u1 3/2)
(+.f32 (*.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 (pow.f32 u1 3)))
(fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3)))
(fma.f32 3/2 (pow.f32 u1 5/2) (pow.f32 u1 3/2))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (.f32 15/8 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3))) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7))))
(fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (fma.f32 15/8 (fabs.f32 (pow.f32 u1 7/2)) (sqrt.f32 (pow.f32 u1 3))))
(fma.f32 3/2 (pow.f32 u1 5/2) (fma.f32 15/8 (pow.f32 u1 7/2) (pow.f32 u1 3/2)))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 35/16 (sqrt.f32 (pow.f32 u1 9))) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7))))))
(+.f32 (fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3))) (fma.f32 35/16 (sqrt.f32 (pow.f32 u1 9)) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3))) (fma.f32 35/16 (sqrt.f32 (pow.f32 u1 9)) (*.f32 15/8 (fabs.f32 (pow.f32 u1 7/2)))))
(fma.f32 3/2 (pow.f32 u1 5/2) (fma.f32 15/8 (pow.f32 u1 7/2) (fma.f32 35/16 (pow.f32 u1 9/2) (pow.f32 u1 3/2))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)))))
(+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (/.f32 15/8 (/.f32 (*.f32 u1 u1) (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 3/2 (/.f32 15/8 u1))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1))))))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (/.f32 15/8 (/.f32 (*.f32 u1 u1) (sqrt.f32 -1)))) (fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 15/8 (/.f32 35/16 u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)))))
(+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (/.f32 15/8 (/.f32 (*.f32 u1 u1) (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 3/2 (/.f32 15/8 u1))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1))))))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (/.f32 15/8 (/.f32 (*.f32 u1 u1) (sqrt.f32 -1)))) (fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 15/8 (/.f32 35/16 u1))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) u1)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (fma.f32 -1/2 (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (sqrt.f32 -1)) (.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)) -1/2)))))
(fma.f32 -1/2 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1 (+.f32 -1/2 (.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2))) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (sqrt.f32 -1) 3/8) (/.f32 u1 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (.f32 5/16 (sqrt.f32 -1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (+.f32 3/8 (/.f32 5/16 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 6)))))
(+.f32 (.f32 (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 0 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))
(*.f32 3 (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))) 1)
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(*.f32 1 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1)
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(*.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -3/4) (pow.f32 (/.f32 (-.f32 1 u1) u1) -3/4))
(pow.f32 (/.f32 (-.f32 1 u1) u1) -3/2)
(pow.f32 (+.f32 -1 (/.f32 1 u1)) -3/2)
(*.f32 (pow.f32 u1 3/2) (pow.f32 (-.f32 1 u1) -3/2))
(*.f32 (pow.f32 1 3/2) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))
(.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))
(.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 7/6))
(.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(log.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 9/2))
(expm1.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(log1p.f32 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(exp.f32 (*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(exp.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(+.f32 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/2)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

localize57.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	1.5b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)

Compiler

Compiled 54 to 40 computations (25.9% saved)

series90.0ms (0.9%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
68.0ms	u1	@	0	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
14.0ms	u2	@	0	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
4.0ms	u1	@	0	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
1.0ms	u1	@	inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
1.0ms	u1	@	-inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`log-prod_binary32`
351×	`pow2_binary32`
271×	`prod-diff_binary32`
241×	`pow1/3_binary32`
239×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	304	26
2	3565	26

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (-.f32 (/.f32 1 u1) 1) -3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (-.f32 (/.f32 1 u1) 1) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))))))

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

559×	`associate-/l*_binary32`
350×	`distribute-rgt-in_binary32`
345×	`distribute-lft-in_binary32`
339×	`*-commutative_binary32`
257×	`associate-+l+_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	260	1976
1	687	1787
2	2455	1705
3	7991	1703

Stop Event

1×	node limit

Counts

78 → 113

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6))))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 35/16 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 (.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6)))) (.f32 1/8 (sqrt.f32 (pow.f32 u1 7))))) (pow.f32 u1 2))) (+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (.f32 1/2 (.f32 (pow.f32 (*.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (.f32 1/2 (.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1)))))
(+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 35/16 (sqrt.f32 -1)) (+.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) 1/3) (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3))))) (.f32 1/8 (sqrt.f32 -1)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 3)))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (.f32 1/2 (.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (.f32 1/2 (.f32 (pow.f32 (*.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (.f32 1/2 (.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))) (.f32 -1/3 (/.f32 (-.f32 (.f32 -35/16 (sqrt.f32 -1)) (+.f32 (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) 1/3) (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))))) (.f32 -1/8 (sqrt.f32 -1)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 3)))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/6))
(*.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
(*.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 1 1/3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(+.f32 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/2)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)) 1/3)
(pow.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (-.f32 (/.f32 1 u1) 1) -3/2)) 1/3)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(cbrt.f32 (.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (-.f32 (/.f32 1 u1) 1) -3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))

Outputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)))
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6)))
(fma.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6))))
(fma.f32 1/3 (.f32 u1 (+.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 -3/4 (pow.f32 (pow.f32 u1 17) 1/6)))) (+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6))))
(fma.f32 1/3 (.f32 u1 (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/4))) (fma.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(fma.f32 1/3 (.f32 u1 (fma.f32 15/8 (pow.f32 u1 3/2) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/4))) (fma.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 35/16 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 (.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6)))) (.f32 1/8 (sqrt.f32 (pow.f32 u1 7))))) (pow.f32 u1 2))) (+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)))))
(fma.f32 1/3 (.f32 u1 (+.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 -3/4 (pow.f32 (pow.f32 u1 17) 1/6)))) (fma.f32 1/3 (.f32 (.f32 u1 u1) (-.f32 (.f32 (sqrt.f32 (pow.f32 u1 3)) 35/16) (fma.f32 (cbrt.f32 (.f32 u1 u1)) (+.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 -3/4 (pow.f32 (pow.f32 u1 17) 1/6))) (.f32 1/8 (sqrt.f32 (pow.f32 u1 7)))))) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6)))))
(fma.f32 1/3 (.f32 u1 (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/4))) (fma.f32 1/3 (.f32 (.f32 u1 u1) (-.f32 (.f32 (sqrt.f32 (pow.f32 u1 3)) 35/16) (fma.f32 (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/4)) (cbrt.f32 (.f32 u1 u1)) (.f32 1/8 (sqrt.f32 (pow.f32 u1 7)))))) (fma.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1))))
(+.f32 (fma.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)) (.f32 1/3 (.f32 u1 (+.f32 (fma.f32 15/8 (pow.f32 u1 3/2) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/4)) (.f32 u1 (-.f32 (.f32 35/16 (pow.f32 u1 3/2)) (fma.f32 (fma.f32 15/8 (pow.f32 u1 3/2) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/4)) (cbrt.f32 (.f32 u1 u1)) (.f32 1/8 (pow.f32 u1 7/2)))))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (.f32 1/2 (.f32 (pow.f32 (*.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))))
(+.f32 (sqrt.f32 -1) (.f32 1/2 (.f32 (cbrt.f32 (sqrt.f32 -1)) (/.f32 1 u1))))
(fma.f32 1/2 (/.f32 (cbrt.f32 (sqrt.f32 -1)) u1) (sqrt.f32 -1))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (.f32 1/2 (.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1)))))
(+.f32 (sqrt.f32 -1) (fma.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) 3/4)) (.f32 (.f32 u1 u1) (pow.f32 (sqrt.f32 -1) 2))) (.f32 1/2 (.f32 (cbrt.f32 (sqrt.f32 -1)) (/.f32 1 u1)))))
(+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (cbrt.f32 (sqrt.f32 -1)) u1) (.f32 -1/3 (/.f32 (fma.f32 15/8 (sqrt.f32 -1) (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) -3/4)) (*.f32 u1 u1)))))
(+.f32 (fma.f32 1/2 (/.f32 (cbrt.f32 (sqrt.f32 -1)) u1) (sqrt.f32 -1)) (.f32 -1/3 (/.f32 (fma.f32 15/8 (sqrt.f32 -1) (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) -3/4)) (*.f32 u1 u1))))
(+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 35/16 (sqrt.f32 -1)) (+.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) 1/3) (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3))))) (.f32 1/8 (sqrt.f32 -1)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 3)))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (.f32 1/2 (.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))))))
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(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))) 1))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 6)))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) 1)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (+.f32 1 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 3 (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/6))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6))
(*.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6))
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
(*.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (pow.f32 1 1/3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 -1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -3/2))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/2)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)) 1/3)
(cbrt.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(pow.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (-.f32 (/.f32 1 u1) 1) -3/2)) 1/3)
(cbrt.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (-.f32 (/.f32 1 u1) 1) -3/2)))
(cbrt.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

eval677.0ms (6.6%)

Compiler: Compiled 24049 to 18217 computations (24.3% saved)

prune397.0ms (3.9%)

Pruning

36 alts after pruning (32 fresh and 4 done)

	Pruned	Kept	Total
New	1121	22	1143
Fresh	10	10	20
Picked	0	1	1
Done	2	3	5
Total	1133	36	1169

Error

0.0b

Counts

1169 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	2.9b	(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	5.7b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
	5.8b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
	5.7b	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	0.5b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	5.8b	(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
✓	1.5b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	1.5b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.3b	(.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.1b	(.f32 (pow.f32 (exp.f32 1/2) (log.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
	0.5b	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.9b	(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
▶	3.0b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
	8.3b	(.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	3.7b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	2.3b	(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
▶	2.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1)))
	2.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.7b	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	7.6b	(.f32 (cbrt.f32 (pow.f32 u1 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.2b	(sqrt.f32 (fma.f32 u1 u1 u1))
	5.7b	(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
	5.7b	(sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))
✓	5.6b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	1.6b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1))))
	5.7b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
▶	10.8b	(sqrt.f32 u1)

Compiler

Compiled 1052 to 841 computations (20.1% saved)

localize59.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	0.4b	(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
✓	1.0b	(pow.f32 98696044010906577398881/2500000000000000000000 1/2)

Compiler

Compiled 49 to 37 computations (24.5% saved)

series4.0ms (0%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
1.0ms	u2	@	inf	(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
0.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
0.0ms	u2	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
0.0ms	u2	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`log-prod_binary32`
335×	`pow-prod-down_binary32`
324×	`pow2_binary32`
271×	`prod-diff_binary32`
226×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	276	22
2	3192	22

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

Inputs

(pow.f32 98696044010906577398881/2500000000000000000000 1/2)

(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 314159265359/50000000000)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 314159265359/50000000000 u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 314159265359/50000000000 u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 314159265359/50000000000 u2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2))) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))))))

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

583×	`associate-/l/_binary32`
567×	`fma-def_binary32`
295×	`log-prod_binary32`
288×	`unswap-sqr_binary32`
264×	`times-frac_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	177	1214
1	445	1144
2	1371	1085
3	5443	983

Stop Event

1×	node limit

Counts

75 → 95

Calls

Call 1

Inputs
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
314159265359/50000000000
(+.f32 0 (*.f32 314159265359/50000000000 u2))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (*.f32 314159265359/50000000000 u2) 1)
(pow.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)) 1/2)
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)
(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)
(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))))
(cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))
(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))
(log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (.f32 (log.f32 (.f32 314159265359/50000000000 u2)) 1))
(exp.f32 (.f32 (.f32 3 (log.f32 (*.f32 314159265359/50000000000 u2))) 1/3))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2))) 3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2))) 2))
(+.f32 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/2)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1/3))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))

Outputs
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
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(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))))
(fabs.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1/3))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

localize7.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize70.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f32 (/.f32 1 u1) u1)
✓	0.2b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
✓	0.4b	(/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))
✓	0.4b	(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))

Compiler

Compiled 70 to 44 computations (37.1% saved)

series8.0ms (0.1%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
1.0ms	u1	@	0	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
1.0ms	u1	@	inf	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
1.0ms	u1	@	-inf	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
1.0ms	u2	@	inf	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`prod-diff_binary32`
451×	`fma-def_binary32`
267×	`fma-neg_binary32`
265×	`log1p-udef_binary32`
263×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	317	52
2	4415	52

Stop Event

1×	node limit

Counts

4 → 224

Calls

Call 1

Inputs
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(-.f32 (/.f32 1 u1) u1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (.f32 u2 u2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) -98696044010906577398881/5000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (.f32 u2 u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (.f32 (log1p.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (fma.f32 2 (log.f32 u2) (log.f32 -98696044010906577398881/5000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (fma.f32 2 (log.f32 u2) (log.f32 -98696044010906577398881/5000000000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) (pow.f32 (cbrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) 2) (cbrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (hypot.f32 1 (.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000))) (hypot.f32 1 (.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (.f32 u2 u2) 3) 1) (/.f32 1 (-.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) -1) (/.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1)) -1)))))
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u1) u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (+.f32 u1 1) 3) (pow.f32 (-.f32 (/.f32 1 u1) u1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 (/.f32 1 u1) u1))) 1))))))
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(sqrt.f32 u1) -1) (neg.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (sqrt.f32 u1) -1) (pow.f32 (sqrt.f32 u1) -1) (.f32 (neg.f32 u1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (-.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (fma.f32 (neg.f32 u1) 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (-.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (-.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (+.f32 (neg.f32 u1) u1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (neg.f32 (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 u1) (/.f32 1 u1))))))

simplify116.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

195×	`sqr-pow_binary32`
169×	`associate-/r/_binary32`
161×	`associate-r_binary32`
160×	`cancel-sign-sub-inv_binary32`
156×	`fma-neg_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	538	5797
1	1419	5152
2	4467	4944

Stop Event

1×	node limit

Counts

280 → 340

Calls

Call 1

Inputs
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1))
(+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 -1/2 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 -1/2 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 -1/2 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (.f32 (sqrt.f32 -1) u1))))))
(.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1))
(+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 -1/2 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 -1/2 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(/.f32 1 u1)
(+.f32 (*.f32 -1 u1) (/.f32 1 u1))
(+.f32 (*.f32 -1 u1) (/.f32 1 u1))
(+.f32 (*.f32 -1 u1) (/.f32 1 u1))
(*.f32 -1 u1)
(+.f32 (*.f32 -1 u1) (/.f32 1 u1))
(+.f32 (*.f32 -1 u1) (/.f32 1 u1))
(+.f32 (*.f32 -1 u1) (/.f32 1 u1))
(*.f32 -1 u1)
(+.f32 (*.f32 -1 u1) (/.f32 1 u1))
(+.f32 (*.f32 -1 u1) (/.f32 1 u1))
(+.f32 (*.f32 -1 u1) (/.f32 1 u1))
(-.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) 1)
(pow.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1)
(pow.f32 (cbrt.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 3)
(pow.f32 (*.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000)) 2)
(pow.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (.f32 u2 u2) 3)) 1/3)
(sqrt.f32 (*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) -98696044010906577398881/5000000000000000000000))
(log.f32 (+.f32 1 (expm1.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))))
(cbrt.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (.f32 u2 u2) 3)))
(expm1.f32 (log1p.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))))
(expm1.f32 (.f32 (log1p.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) 1))
(log1p.f32 (expm1.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))))
(exp.f32 (fma.f32 2 (log.f32 u2) (log.f32 -98696044010906577398881/5000000000000000000000)))
(exp.f32 (*.f32 (fma.f32 2 (log.f32 u2) (log.f32 -98696044010906577398881/5000000000000000000000)) 1))
(fma.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) -1)
(fma.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) 1 -1)
(fma.f32 (cbrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) (pow.f32 (cbrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) 2) -1)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) 2) (cbrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) -1)
(fma.f32 (hypot.f32 1 (.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000))) (hypot.f32 1 (.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000))) -1)
(fma.f32 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (.f32 u2 u2) 3) 1) (/.f32 1 (-.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))) -1)
(fma.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) -1) (/.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1)) -1)
(-.f32 (exp.f32 (log1p.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) 1)
(*.f32 1 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
(*.f32 (+.f32 u1 1) (/.f32 1 (-.f32 (/.f32 1 u1) u1)))
(*.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)) 1)
(*.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (cbrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (pow.f32 (cbrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) 2))
(.f32 (cbrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) 2) (cbrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (pow.f32 (cbrt.f32 (+.f32 u1 1)) 2) (.f32 (cbrt.f32 (+.f32 u1 1)) (/.f32 1 (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 (+.f32 u1 1)) (.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 1 (-.f32 (/.f32 1 u1) u1))))
(.f32 (pow.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)) 1/4) (.f32 (pow.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)) 1/4) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))
(*.f32 (fma.f32 -1 u1 -1) (/.f32 1 (neg.f32 (-.f32 (/.f32 1 u1) u1))))
(*.f32 (/.f32 1 (-.f32 (/.f32 1 u1) u1)) (+.f32 u1 1))
(.f32 (.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (pow.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)) 1/4)) (pow.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)) 1/4))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 u1 1)) 2) 1) (/.f32 (cbrt.f32 (+.f32 u1 1)) (-.f32 (/.f32 1 u1) u1)))
(*.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) 1) (/.f32 (sqrt.f32 (+.f32 u1 1)) (-.f32 (/.f32 1 u1) u1)))
(*.f32 (/.f32 1 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2))) (/.f32 (+.f32 u1 1) (cbrt.f32 (-.f32 (/.f32 1 u1) u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 u1 1)) 2) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2))) (cbrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 u1 1)) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2))) (/.f32 (sqrt.f32 (+.f32 u1 1)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1))))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) u1))) (/.f32 (+.f32 u1 1) (sqrt.f32 (-.f32 (/.f32 1 u1) u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 u1 1)) 2) (sqrt.f32 (-.f32 (/.f32 1 u1) u1))) (/.f32 (cbrt.f32 (+.f32 u1 1)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1))))
(*.f32 (/.f32 (+.f32 u1 1) (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3))) (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1)))
(.f32 (/.f32 (+.f32 u1 1) (-.f32 (pow.f32 u1 -2) (.f32 u1 u1))) (+.f32 u1 (/.f32 1 u1)))
(.f32 (.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (cbrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) (cbrt.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))
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(+.f32 (fma.f32 (pow.f32 (sqrt.f32 u1) -1) (pow.f32 (sqrt.f32 u1) -1) (neg.f32 (.f32 (.f32 (cbrt.f32 u1) 1) (pow.f32 (cbrt.f32 u1) 2)))) (fma.f32 (neg.f32 (.f32 (cbrt.f32 u1) 1)) (pow.f32 (cbrt.f32 u1) 2) (.f32 (*.f32 (cbrt.f32 u1) 1) (pow.f32 (cbrt.f32 u1) 2))))
(+.f32 (fma.f32 1 (/.f32 1 u1) (neg.f32 (.f32 (.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1)))) (fma.f32 (neg.f32 (.f32 (sqrt.f32 u1) 1)) (sqrt.f32 u1) (.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1))))
(+.f32 (fma.f32 (/.f32 1 u1) 1 (neg.f32 (.f32 (.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1)))) (fma.f32 (neg.f32 (.f32 (sqrt.f32 u1) 1)) (sqrt.f32 u1) (.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1))))
(+.f32 (fma.f32 (/.f32 1 (cbrt.f32 u1)) (cbrt.f32 (pow.f32 u1 -2)) (neg.f32 (.f32 (.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1)))) (fma.f32 (neg.f32 (.f32 (sqrt.f32 u1) 1)) (sqrt.f32 u1) (.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1))))
(+.f32 (fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (/.f32 1 (cbrt.f32 u1)) (neg.f32 (.f32 (.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1)))) (fma.f32 (neg.f32 (.f32 (sqrt.f32 u1) 1)) (sqrt.f32 u1) (.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1))))
(+.f32 (fma.f32 (pow.f32 u1 -1/2) (pow.f32 u1 -1/2) (neg.f32 (.f32 (.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1)))) (fma.f32 (neg.f32 (.f32 (sqrt.f32 u1) 1)) (sqrt.f32 u1) (.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1))))
(+.f32 (fma.f32 -1 (/.f32 1 (neg.f32 u1)) (neg.f32 (.f32 (.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1)))) (fma.f32 (neg.f32 (.f32 (sqrt.f32 u1) 1)) (sqrt.f32 u1) (.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1))))
(+.f32 (fma.f32 (pow.f32 (pow.f32 (cbrt.f32 u1) 2) -1) (pow.f32 (cbrt.f32 u1) -1) (neg.f32 (.f32 (.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1)))) (fma.f32 (neg.f32 (.f32 (sqrt.f32 u1) 1)) (sqrt.f32 u1) (.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1))))
(+.f32 (fma.f32 (pow.f32 (sqrt.f32 u1) -1) (pow.f32 (sqrt.f32 u1) -1) (neg.f32 (.f32 (.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1)))) (fma.f32 (neg.f32 (.f32 (sqrt.f32 u1) 1)) (sqrt.f32 u1) (.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1))))
(*.f32 1 (-.f32 (/.f32 1 u1) u1))
(*.f32 (-.f32 (/.f32 1 u1) u1) 1)
(*.f32 (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)))
(*.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)))
(*.f32 (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3)) (/.f32 1 (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1))))
(.f32 (-.f32 (pow.f32 u1 -2) (.f32 u1 u1)) (/.f32 1 (+.f32 u1 (/.f32 1 u1))))
(*.f32 (+.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (-.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)))
(/.f32 1 (/.f32 (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1)) (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3))))
(/.f32 1 (/.f32 (+.f32 u1 (/.f32 1 u1)) (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1))))
(/.f32 (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3)) (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1)))
(/.f32 (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1)) (+.f32 u1 (/.f32 1 u1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3))) (neg.f32 (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1))))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1))) (neg.f32 (+.f32 u1 (/.f32 1 u1))))
(/.f32 (+.f32 (pow.f32 u1 -3) (pow.f32 (neg.f32 u1) 3)) (+.f32 (pow.f32 u1 -2) (-.f32 (.f32 (neg.f32 u1) (neg.f32 u1)) (.f32 (/.f32 1 u1) (neg.f32 u1)))))
(/.f32 (-.f32 (pow.f32 u1 -2) (*.f32 (neg.f32 u1) (neg.f32 u1))) (-.f32 (/.f32 1 u1) (neg.f32 u1)))
(pow.f32 (-.f32 (/.f32 1 u1) u1) 1)
(pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 3) 1/3)
(pow.f32 (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) 3)
(pow.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) 2)
(sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2))
(log.f32 (exp.f32 (-.f32 (/.f32 1 u1) u1)))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 (/.f32 1 u1) u1))))
(log.f32 (/.f32 (+.f32 1 (expm1.f32 (/.f32 1 u1))) (exp.f32 u1)))
(log.f32 (/.f32 (exp.f32 (/.f32 1 u1)) (+.f32 1 (expm1.f32 u1))))
(log.f32 (/.f32 (+.f32 1 (expm1.f32 (/.f32 1 u1))) (+.f32 1 (expm1.f32 u1))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (/.f32 1 u1))) (exp.f32 (neg.f32 u1))))
(log.f32 (*.f32 (exp.f32 (/.f32 1 u1)) (/.f32 1 (exp.f32 u1))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (/.f32 1 u1))) (/.f32 1 (exp.f32 u1))))
(log.f32 (*.f32 (exp.f32 (neg.f32 u1)) (exp.f32 (/.f32 1 u1))))
(log.f32 (*.f32 (/.f32 1 (exp.f32 u1)) (exp.f32 (/.f32 1 u1))))
(log.f32 (*.f32 (exp.f32 (neg.f32 u1)) (+.f32 1 (expm1.f32 (/.f32 1 u1)))))
(log.f32 (*.f32 (/.f32 1 (exp.f32 u1)) (+.f32 1 (expm1.f32 (/.f32 1 u1)))))
(cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 3))
(expm1.f32 (log1p.f32 (-.f32 (/.f32 1 u1) u1)))
(log1p.f32 (expm1.f32 (-.f32 (/.f32 1 u1) u1)))
(exp.f32 (log.f32 (-.f32 (/.f32 1 u1) u1)))
(exp.f32 (*.f32 (log.f32 (-.f32 (/.f32 1 u1) u1)) 1))
(fma.f32 1 (/.f32 1 u1) (neg.f32 u1))
(fma.f32 1 (/.f32 1 u1) (*.f32 (neg.f32 u1) 1))
(fma.f32 1 (-.f32 (/.f32 1 u1) u1) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 1 (-.f32 (/.f32 1 u1) u1) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 1 (-.f32 (/.f32 1 u1) u1) (+.f32 (neg.f32 u1) u1))
(fma.f32 1 (neg.f32 u1) (/.f32 1 u1))
(fma.f32 (/.f32 1 u1) 1 (neg.f32 u1))
(fma.f32 (/.f32 1 u1) 1 (*.f32 (neg.f32 u1) 1))
(fma.f32 (-.f32 (/.f32 1 u1) u1) 1 (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (-.f32 (/.f32 1 u1) u1) 1 (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (-.f32 (/.f32 1 u1) u1) 1 (+.f32 (neg.f32 u1) u1))
(fma.f32 (/.f32 1 (cbrt.f32 u1)) (cbrt.f32 (pow.f32 u1 -2)) (neg.f32 u1))
(fma.f32 (/.f32 1 (cbrt.f32 u1)) (cbrt.f32 (pow.f32 u1 -2)) (*.f32 (neg.f32 u1) 1))
(fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (/.f32 1 (cbrt.f32 u1)) (neg.f32 u1))
(fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (/.f32 1 (cbrt.f32 u1)) (*.f32 (neg.f32 u1) 1))
(fma.f32 (pow.f32 (cbrt.f32 u1) 2) (neg.f32 (cbrt.f32 u1)) (/.f32 1 u1))
(fma.f32 (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (+.f32 (neg.f32 u1) u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (+.f32 (neg.f32 u1) u1))
(fma.f32 (pow.f32 u1 -1/2) (pow.f32 u1 -1/2) (neg.f32 u1))
(fma.f32 (pow.f32 u1 -1/2) (pow.f32 u1 -1/2) (*.f32 (neg.f32 u1) 1))
(fma.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 u1)) (/.f32 1 u1))
(fma.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (+.f32 (neg.f32 u1) u1))
(fma.f32 -1 u1 (/.f32 1 u1))
(fma.f32 -1 (/.f32 1 (neg.f32 u1)) (neg.f32 u1))
(fma.f32 -1 (/.f32 1 (neg.f32 u1)) (*.f32 (neg.f32 u1) 1))
(fma.f32 (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3)) (/.f32 1 (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1))) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3)) (/.f32 1 (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1))) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3)) (/.f32 1 (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1))) (+.f32 (neg.f32 u1) u1))
(fma.f32 (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1)) (/.f32 1 (+.f32 u1 (/.f32 1 u1))) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1)) (/.f32 1 (+.f32 u1 (/.f32 1 u1))) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1)) (/.f32 1 (+.f32 u1 (/.f32 1 u1))) (+.f32 (neg.f32 u1) u1))
(fma.f32 (*.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (neg.f32 u1))) (cbrt.f32 (neg.f32 u1)) (/.f32 1 u1))
(fma.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 u1)) (/.f32 1 u1))
(fma.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 u1) (/.f32 1 u1))
(fma.f32 (pow.f32 (pow.f32 (cbrt.f32 u1) 2) -1) (pow.f32 (cbrt.f32 u1) -1) (neg.f32 u1))
(fma.f32 (pow.f32 (pow.f32 (cbrt.f32 u1) 2) -1) (pow.f32 (cbrt.f32 u1) -1) (*.f32 (neg.f32 u1) 1))
(fma.f32 (pow.f32 (sqrt.f32 u1) -1) (pow.f32 (sqrt.f32 u1) -1) (neg.f32 u1))
(fma.f32 (pow.f32 (sqrt.f32 u1) -1) (pow.f32 (sqrt.f32 u1) -1) (*.f32 (neg.f32 u1) 1))
(fma.f32 (+.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (-.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (+.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (-.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (+.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (-.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (+.f32 (neg.f32 u1) u1))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 u1) (/.f32 1 u1))

Outputs
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 (fma.f32 u1 u1 u1) (pow.f32 u1 3))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4)) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (fma.f32 u1 u1 (pow.f32 u1 4)))
(*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 -1 (*.f32 u1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 -1 (/.f32 -1 u1)) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 -1 (*.f32 u1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 -1 (/.f32 -1 u1)) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))
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(+.f32 (-.f32 u1 u1) (-.f32 (*.f32 (/.f32 1 (cbrt.f32 u1)) (cbrt.f32 (pow.f32 u1 -2))) u1))
(-.f32 (/.f32 (cbrt.f32 (pow.f32 u1 -2)) (cbrt.f32 u1)) u1)
(fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (/.f32 1 (cbrt.f32 u1)) (neg.f32 u1))
(+.f32 (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) (.f32 (cbrt.f32 u1) (pow.f32 (cbrt.f32 u1) 2))) (fma.f32 (/.f32 1 (cbrt.f32 u1)) (cbrt.f32 (pow.f32 u1 -2)) (.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2))))
(+.f32 (-.f32 u1 u1) (-.f32 (*.f32 (/.f32 1 (cbrt.f32 u1)) (cbrt.f32 (pow.f32 u1 -2))) u1))
(-.f32 (/.f32 (cbrt.f32 (pow.f32 u1 -2)) (cbrt.f32 u1)) u1)
(fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (/.f32 1 (cbrt.f32 u1)) (*.f32 (neg.f32 u1) 1))
(+.f32 (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) (.f32 (cbrt.f32 u1) (pow.f32 (cbrt.f32 u1) 2))) (fma.f32 (/.f32 1 (cbrt.f32 u1)) (cbrt.f32 (pow.f32 u1 -2)) (.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2))))
(+.f32 (-.f32 u1 u1) (-.f32 (*.f32 (/.f32 1 (cbrt.f32 u1)) (cbrt.f32 (pow.f32 u1 -2))) u1))
(-.f32 (/.f32 (cbrt.f32 (pow.f32 u1 -2)) (cbrt.f32 u1)) u1)
(fma.f32 (pow.f32 (cbrt.f32 u1) 2) (neg.f32 (cbrt.f32 u1)) (/.f32 1 u1))
(-.f32 (/.f32 1 u1) u1)
(fma.f32 (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (fma.f32 -1 u1 u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (-.f32 u1 u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) 0)
(fma.f32 (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (fma.f32 -1 u1 u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (-.f32 u1 u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) 0)
(fma.f32 (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (+.f32 (neg.f32 u1) u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (fma.f32 -1 u1 u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (-.f32 u1 u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) 0)
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (fma.f32 -1 u1 u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (-.f32 u1 u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) 0)
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (fma.f32 -1 u1 u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (-.f32 u1 u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) 0)
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (+.f32 (neg.f32 u1) u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (fma.f32 -1 u1 u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) (-.f32 u1 u1))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) 2)) (cbrt.f32 (-.f32 (/.f32 1 u1) u1)) 0)
(fma.f32 (pow.f32 u1 -1/2) (pow.f32 u1 -1/2) (neg.f32 u1))
(-.f32 (/.f32 1 u1) u1)
(fma.f32 (pow.f32 u1 -1/2) (pow.f32 u1 -1/2) (*.f32 (neg.f32 u1) 1))
(-.f32 (/.f32 1 u1) u1)
(fma.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 u1)) (/.f32 1 u1))
(-.f32 (/.f32 1 u1) u1)
(fma.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (fma.f32 (neg.f32 u1) 1 u1))
(-.f32 (/.f32 1 u1) u1)
(fma.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(-.f32 (/.f32 1 u1) u1)
(fma.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (sqrt.f32 (-.f32 (/.f32 1 u1) u1)) (+.f32 (neg.f32 u1) u1))
(-.f32 (/.f32 1 u1) u1)
(fma.f32 -1 u1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) u1)
(fma.f32 -1 (/.f32 1 (neg.f32 u1)) (neg.f32 u1))
(-.f32 (/.f32 1 u1) u1)
(fma.f32 -1 (/.f32 1 (neg.f32 u1)) (*.f32 (neg.f32 u1) 1))
(-.f32 (/.f32 1 u1) u1)
(fma.f32 (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3)) (/.f32 1 (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1))) (fma.f32 (neg.f32 u1) 1 u1))
(*.f32 (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3)) (/.f32 1 (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1))))
(/.f32 (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3)) (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1)))
(fma.f32 (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3)) (/.f32 1 (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1))) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(*.f32 (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3)) (/.f32 1 (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1))))
(/.f32 (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3)) (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1)))
(fma.f32 (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3)) (/.f32 1 (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1))) (+.f32 (neg.f32 u1) u1))
(*.f32 (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3)) (/.f32 1 (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1))))
(/.f32 (-.f32 (pow.f32 u1 -3) (pow.f32 u1 3)) (+.f32 (pow.f32 u1 -2) (fma.f32 u1 u1 1)))
(fma.f32 (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1)) (/.f32 1 (+.f32 u1 (/.f32 1 u1))) (fma.f32 (neg.f32 u1) 1 u1))
(.f32 (-.f32 (pow.f32 u1 -2) (.f32 u1 u1)) (/.f32 1 (+.f32 u1 (/.f32 1 u1))))
(/.f32 (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1)) (+.f32 u1 (/.f32 1 u1)))
(fma.f32 (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1)) (/.f32 1 (+.f32 u1 (/.f32 1 u1))) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(.f32 (-.f32 (pow.f32 u1 -2) (.f32 u1 u1)) (/.f32 1 (+.f32 u1 (/.f32 1 u1))))
(/.f32 (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1)) (+.f32 u1 (/.f32 1 u1)))
(fma.f32 (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1)) (/.f32 1 (+.f32 u1 (/.f32 1 u1))) (+.f32 (neg.f32 u1) u1))
(.f32 (-.f32 (pow.f32 u1 -2) (.f32 u1 u1)) (/.f32 1 (+.f32 u1 (/.f32 1 u1))))
(/.f32 (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1)) (+.f32 u1 (/.f32 1 u1)))
(fma.f32 (*.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (neg.f32 u1))) (cbrt.f32 (neg.f32 u1)) (/.f32 1 u1))
(-.f32 (/.f32 1 u1) u1)
(fma.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 u1)) (/.f32 1 u1))
(-.f32 (/.f32 1 u1) u1)
(fma.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 u1) (/.f32 1 u1))
(-.f32 (/.f32 1 u1) u1)
(fma.f32 (pow.f32 (pow.f32 (cbrt.f32 u1) 2) -1) (pow.f32 (cbrt.f32 u1) -1) (neg.f32 u1))
(+.f32 (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) (.f32 (cbrt.f32 u1) (pow.f32 (cbrt.f32 u1) 2))) (fma.f32 (/.f32 1 (pow.f32 (cbrt.f32 u1) 2)) (/.f32 1 (cbrt.f32 u1)) (.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2))))
(+.f32 (-.f32 u1 u1) (fma.f32 (/.f32 1 (pow.f32 (cbrt.f32 u1) 2)) (/.f32 1 (cbrt.f32 u1)) (neg.f32 u1)))
(-.f32 (/.f32 (/.f32 1 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2)) u1)
(fma.f32 (pow.f32 (pow.f32 (cbrt.f32 u1) 2) -1) (pow.f32 (cbrt.f32 u1) -1) (*.f32 (neg.f32 u1) 1))
(+.f32 (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) (.f32 (cbrt.f32 u1) (pow.f32 (cbrt.f32 u1) 2))) (fma.f32 (/.f32 1 (pow.f32 (cbrt.f32 u1) 2)) (/.f32 1 (cbrt.f32 u1)) (.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2))))
(+.f32 (-.f32 u1 u1) (fma.f32 (/.f32 1 (pow.f32 (cbrt.f32 u1) 2)) (/.f32 1 (cbrt.f32 u1)) (neg.f32 u1)))
(-.f32 (/.f32 (/.f32 1 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2)) u1)
(fma.f32 (pow.f32 (sqrt.f32 u1) -1) (pow.f32 (sqrt.f32 u1) -1) (neg.f32 u1))
(+.f32 (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) (.f32 (cbrt.f32 u1) (pow.f32 (cbrt.f32 u1) 2))) (fma.f32 (/.f32 1 (sqrt.f32 u1)) (/.f32 1 (sqrt.f32 u1)) (.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2))))
(+.f32 (-.f32 u1 u1) (-.f32 (pow.f32 (sqrt.f32 u1) -2) u1))
(-.f32 (pow.f32 (sqrt.f32 u1) -2) u1)
(fma.f32 (pow.f32 (sqrt.f32 u1) -1) (pow.f32 (sqrt.f32 u1) -1) (*.f32 (neg.f32 u1) 1))
(+.f32 (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) (.f32 (cbrt.f32 u1) (pow.f32 (cbrt.f32 u1) 2))) (fma.f32 (/.f32 1 (sqrt.f32 u1)) (/.f32 1 (sqrt.f32 u1)) (.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2))))
(+.f32 (-.f32 u1 u1) (-.f32 (pow.f32 (sqrt.f32 u1) -2) u1))
(-.f32 (pow.f32 (sqrt.f32 u1) -2) u1)
(fma.f32 (+.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (-.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (fma.f32 (neg.f32 u1) 1 u1))
(-.f32 (/.f32 1 u1) u1)
(fma.f32 (+.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (-.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(-.f32 (/.f32 1 u1) u1)
(fma.f32 (+.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (-.f32 (pow.f32 u1 -1/2) (sqrt.f32 u1)) (+.f32 (neg.f32 u1) u1))
(-.f32 (/.f32 1 u1) u1)
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 u1) (/.f32 1 u1))
(-.f32 (/.f32 1 u1) u1)

localize79.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1))
✓	0.4b	(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))
	0.4b	(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))

Compiler

Compiled 79 to 54 computations (31.6% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))
1.0ms	u2	@	inf	(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))
0.0ms	u2	@	inf	(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1))
0.0ms	u2	@	0	(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1))
0.0ms	u2	@	-inf	(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`log-prod_binary32`
519×	`fma-def_binary32`
343×	`pow-prod-down_binary32`
304×	`pow2_binary32`
299×	`fma-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	265	22
2	3264	22

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

Inputs

(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))

(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (+.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (pow.f32 u2 4))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (pow.f32 u2 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (pow.f32 u2 4)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (pow.f32 u2 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 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simplify134.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

707×	`div-sub_binary32`
470×	`distribute-rgt-in_binary32`
445×	`distribute-lft-in_binary32`
264×	`exp-prod_binary32`
230×	`*-commutative_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	2247
1	673	2214
2	1839	2164
3	6747	2164

Stop Event

1×	node limit

Counts

121 → 151

Calls

Call 1

Inputs
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 0 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))
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(fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
(fma.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
(fma.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1 (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
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(fma.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(fma.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 1 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(fma.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 1 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))
(fma.f32 1 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))) 1)
(fma.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))
(fma.f32 (cbrt.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)) (pow.f32 (cbrt.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)) 2) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)) 2) (cbrt.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))
(fma.f32 (.f32 (cbrt.f32 u2) u2) (.f32 (pow.f32 (cbrt.f32 u2) 2) -98696044010906577398881/5000000000000000000000) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (pow.f32 (cbrt.f32 u2) 8) (.f32 (.f32 (cbrt.f32 u2) u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
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(fma.f32 (cbrt.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)) (cbrt.f32 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (cbrt.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (cbrt.f32 (.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
(fma.f32 (cbrt.f32 (.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (cbrt.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
(fma.f32 (cbrt.f32 (.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (.f32 (cbrt.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) 1) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(fma.f32 (sqrt.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)) (sqrt.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))
(fma.f32 (.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000)) (.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (.f32 (.f32 u2 u2) (sqrt.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (.f32 (.f32 u2 u2) (sqrt.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
(fma.f32 (.f32 (.f32 u2 u2) (sqrt.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (.f32 (.f32 (.f32 u2 u2) (sqrt.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) 1) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(fma.f32 (fma.f32 (pow.f32 u2 12) 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1) (/.f32 1 (-.f32 (fma.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))) (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)))
(fma.f32 (fma.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 -1) (/.f32 1 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) -1)) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))
(fma.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000) u2 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))) 1 1)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))) 2) (cbrt.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))) 1)
(fma.f32 (sqrt.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))) (sqrt.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))) 1)
(fma.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (cbrt.f32 u2) u2)) (pow.f32 (cbrt.f32 u2) 2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (.f32 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1) u2 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (.f32 (.f32 u2 -98696044010906577398881/5000000000000000000000) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (.f32 (.f32 u2 -98696044010906577398881/5000000000000000000000) (sqrt.f32 u2)) (sqrt.f32 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2)) (.f32 u2 u2) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(fma.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 (cbrt.f32 u2) 8)) (.f32 (cbrt.f32 u2) u2) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))

Outputs
1
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(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
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(-.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) 1)
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(pow.f32 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1)
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(pow.f32 (.f32 (.f32 u2 u2) (sqrt.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) 2)
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(fma.f32 (pow.f32 (cbrt.f32 u2) 8) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 (cbrt.f32 u2))) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))
(fma.f32 (pow.f32 (cbrt.f32 u2) 8) (.f32 u2 (.f32 (cbrt.f32 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))
(+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 (*.f32 u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (pow.f32 (cbrt.f32 u2) 9)))
(fma.f32 (cbrt.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))) (cbrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (cbrt.f32 (.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2))) (cbrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (cbrt.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) (cbrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (cbrt.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)) (cbrt.f32 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (cbrt.f32 (.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2))) (cbrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (cbrt.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) (cbrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (cbrt.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (cbrt.f32 (.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
(fma.f32 (cbrt.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (cbrt.f32 (.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))
(fma.f32 (cbrt.f32 (.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (cbrt.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
(fma.f32 (cbrt.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (cbrt.f32 (.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))
(fma.f32 (cbrt.f32 (.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (.f32 (cbrt.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) 1) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(fma.f32 (cbrt.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (cbrt.f32 (.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))
(fma.f32 (sqrt.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)) (sqrt.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000)) (.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (.f32 (.f32 u2 u2) (sqrt.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (.f32 (.f32 u2 u2) (sqrt.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (.f32 (.f32 u2 u2) (sqrt.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (.f32 (.f32 (.f32 u2 u2) (sqrt.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) 1) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (fma.f32 (pow.f32 u2 12) 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1) (/.f32 1 (-.f32 (fma.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))) (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)))
(fma.f32 (fma.f32 (pow.f32 u2 12) 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1) (/.f32 1 (+.f32 (fma.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1) (.f32 -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))) (.f32 u2 (*.f32 -98696044010906577398881/5000000000000000000000 u2)))
(fma.f32 (fma.f32 (pow.f32 u2 12) 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1) (/.f32 1 (+.f32 (fma.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1) (.f32 (pow.f32 u2 4) -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))) (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (/.f32 (fma.f32 (pow.f32 u2 12) 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1) (+.f32 (fma.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1) (*.f32 (pow.f32 u2 4) -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))
(fma.f32 (fma.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 -1) (/.f32 1 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) -1)) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))
(fma.f32 (fma.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 -1) (/.f32 1 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) -1)) (.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2)))
(fma.f32 (fma.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 -1) (/.f32 1 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) -1)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (/.f32 (fma.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 -1) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) -1)))
(fma.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000) u2 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))) 1 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))) 2) (cbrt.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))) 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (sqrt.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))) (sqrt.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))) 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (cbrt.f32 u2) u2)) (pow.f32 (cbrt.f32 u2) 2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (.f32 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1) u2 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (.f32 (.f32 u2 -98696044010906577398881/5000000000000000000000) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (.f32 (.f32 u2 -98696044010906577398881/5000000000000000000000) (sqrt.f32 u2)) (sqrt.f32 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2)) (.f32 u2 u2) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 (cbrt.f32 u2) 8)) (.f32 (cbrt.f32 u2) u2) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
(fma.f32 (pow.f32 (cbrt.f32 u2) 8) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 (cbrt.f32 u2))) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))
(fma.f32 (pow.f32 (cbrt.f32 u2) 8) (.f32 u2 (.f32 (cbrt.f32 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))
(+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 (*.f32 u2 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (pow.f32 (cbrt.f32 u2) 9)))

localize70.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	0.7b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
✓	0.7b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)

Compiler

Compiled 54 to 40 computations (25.9% saved)

series10.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	0	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
2.0ms	u2	@	0	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
1.0ms	u1	@	-inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
1.0ms	u2	@	inf	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`log-prod_binary32`
352×	`pow2_binary32`
271×	`prod-diff_binary32`
241×	`pow1/3_binary32`
240×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	304	36
2	3557	36

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/18) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))))))

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

604×	`associate-/r*_binary32`
516×	`associate-/l*_binary32`
429×	`distribute-rgt-in_binary32`
427×	`distribute-lft-in_binary32`
272×	`fma-def_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	368	2606
1	982	2415
2	3446	2320

Stop Event

1×	node limit

Counts

113 → 160

Calls

Call 1

Inputs
(pow.f32 u1 1/6)
(+.f32 (.f32 1/6 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (pow.f32 u1 1/6))
(+.f32 (.f32 1/6 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (+.f32 (.f32 7/72 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (pow.f32 u1 1/6)))
(+.f32 (.f32 91/1296 (pow.f32 (.f32 1 (pow.f32 u1 19)) 1/6)) (+.f32 (.f32 1/6 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (+.f32 (.f32 7/72 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (pow.f32 u1 1/6))))
(pow.f32 -1 1/6)
(+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(+.f32 (.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(+.f32 (.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (.f32 91/1296 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(pow.f32 -1 1/6)
(+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(+.f32 (.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(+.f32 (.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (.f32 91/1296 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (*.f32 1/6 (sqrt.f32 u1))) u1))
(+.f32 (.f32 (+.f32 (.f32 1/18 (sqrt.f32 u1)) (+.f32 (.f32 7/72 (sqrt.f32 u1)) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6)))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) u1)))
(+.f32 (.f32 (+.f32 (.f32 1/18 (sqrt.f32 u1)) (+.f32 (.f32 7/72 (sqrt.f32 u1)) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6)))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) u1) (.f32 (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6))) (+.f32 (.f32 91/1296 (sqrt.f32 u1)) (+.f32 (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 91/648 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/216 (pow.f32 (.f32 1 u1) 1/3)))) (.f32 7/216 (sqrt.f32 u1))))) (pow.f32 u1 3)))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/6 (/.f32 (sqrt.f32 -1) u1)) (.f32 1/3 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))) (pow.f32 u1 2))) (+.f32 (.f32 1/18 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 7/72 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/6 (/.f32 (sqrt.f32 -1) u1)) (*.f32 1/3 (/.f32 (sqrt.f32 -1) u1)))))))
(+.f32 (.f32 1/18 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))) (pow.f32 u1 3)))) (+.f32 (.f32 91/1296 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 7/72 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/6 (/.f32 (sqrt.f32 -1) u1)) (+.f32 (.f32 1/3 (/.f32 (sqrt.f32 -1) u1)) (+.f32 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 91/648 (pow.f32 -1 1/3)) (.f32 7/216 (pow.f32 -1 1/3))) (pow.f32 u1 3))) (.f32 7/216 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (*.f32 -1/3 (sqrt.f32 -1))) u1)))
(+.f32 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))) (pow.f32 u1 2))) (+.f32 (.f32 1/18 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 7/72 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (.f32 -1/3 (sqrt.f32 -1))) u1))))))
(+.f32 (.f32 7/72 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/18 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (.f32 -1/3 (sqrt.f32 -1))) u1)) (.f32 -1 (/.f32 (+.f32 (.f32 -7/216 (sqrt.f32 -1)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))))) (+.f32 (.f32 -91/1296 (sqrt.f32 -1)) (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 -7/216 (pow.f32 -1 1/3)) (.f32 -91/648 (pow.f32 -1 1/3))))))) (pow.f32 u1 3))))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 0 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) 1)
(*.f32 1 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 1)
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/18) (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/18))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12))
(*.f32 (pow.f32 u1 1/6) (pow.f32 (-.f32 1 u1) -1/6))
(*.f32 (pow.f32 1 1/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))
(sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))
(cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(expm1.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))
(log1p.f32 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))
(exp.f32 (*.f32 1/6 (log.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (.f32 (.f32 1/6 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(+.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))
(.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/18) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))
(.f32 (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/18))
(.f32 (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12))
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(+.f32 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/2)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)) 1/3)
(pow.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) 1/3)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))

Outputs
(pow.f32 u1 1/6)
(+.f32 (.f32 1/6 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (pow.f32 u1 1/6))
(fma.f32 1/6 (pow.f32 (pow.f32 u1 7) 1/6) (pow.f32 u1 1/6))
(+.f32 (.f32 1/6 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (+.f32 (.f32 7/72 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (pow.f32 u1 1/6)))
(fma.f32 1/6 (pow.f32 (pow.f32 u1 7) 1/6) (fma.f32 7/72 (pow.f32 (pow.f32 u1 13) 1/6) (pow.f32 u1 1/6)))
(+.f32 (.f32 91/1296 (pow.f32 (.f32 1 (pow.f32 u1 19)) 1/6)) (+.f32 (.f32 1/6 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (+.f32 (.f32 7/72 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (pow.f32 u1 1/6))))
(fma.f32 91/1296 (pow.f32 (pow.f32 u1 19) 1/6) (fma.f32 1/6 (pow.f32 (pow.f32 u1 7) 1/6) (fma.f32 7/72 (pow.f32 (pow.f32 u1 13) 1/6) (pow.f32 u1 1/6))))
(pow.f32 -1 1/6)
(+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(fma.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6))
(fma.f32 1/6 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6))
(*.f32 (pow.f32 -1 1/6) (+.f32 1 (/.f32 1/6 u1)))
(+.f32 (.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(fma.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (.f32 u1 u1))) (fma.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6)))
(fma.f32 7/72 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/6 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6)))
(+.f32 (pow.f32 -1 1/6) (.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/6 u1) (/.f32 7/72 (.f32 u1 u1)))))
(+.f32 (.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (.f32 91/1296 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(fma.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (.f32 u1 u1))) (fma.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (fma.f32 91/1296 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3))) (pow.f32 -1 1/6))))
(fma.f32 7/72 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/6 (/.f32 (pow.f32 -1 1/6) u1) (fma.f32 91/1296 (/.f32 (pow.f32 -1 1/6) (pow.f32 u1 3)) (pow.f32 -1 1/6))))
(+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 1 (/.f32 91/1296 (pow.f32 u1 3)))) (.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/6 u1) (/.f32 7/72 (*.f32 u1 u1)))))
(pow.f32 -1 1/6)
(+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(fma.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6))
(fma.f32 1/6 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6))
(*.f32 (pow.f32 -1 1/6) (+.f32 1 (/.f32 1/6 u1)))
(+.f32 (.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(fma.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (.f32 u1 u1))) (fma.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6)))
(fma.f32 7/72 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/6 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6)))
(+.f32 (pow.f32 -1 1/6) (.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/6 u1) (/.f32 7/72 (.f32 u1 u1)))))
(+.f32 (.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (.f32 91/1296 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(fma.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (.f32 u1 u1))) (fma.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (fma.f32 91/1296 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3))) (pow.f32 -1 1/6))))
(fma.f32 7/72 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/6 (/.f32 (pow.f32 -1 1/6) u1) (fma.f32 91/1296 (/.f32 (pow.f32 -1 1/6) (pow.f32 u1 3)) (pow.f32 -1 1/6))))
(+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 1 (/.f32 91/1296 (pow.f32 u1 3)))) (.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/6 u1) (/.f32 7/72 (*.f32 u1 u1)))))
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (*.f32 1/6 (sqrt.f32 u1))) u1))
(+.f32 (sqrt.f32 u1) (.f32 u1 (.f32 (sqrt.f32 u1) 1/2)))
(fma.f32 u1 (*.f32 (sqrt.f32 u1) 1/2) (sqrt.f32 u1))
(+.f32 (.f32 (+.f32 (.f32 1/18 (sqrt.f32 u1)) (+.f32 (.f32 7/72 (sqrt.f32 u1)) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6)))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) u1)))
(fma.f32 (fma.f32 1/18 (sqrt.f32 u1) (fma.f32 7/72 (sqrt.f32 u1) (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 2/9)))) (.f32 u1 u1) (+.f32 (sqrt.f32 u1) (.f32 u1 (*.f32 (sqrt.f32 u1) 1/2))))
(fma.f32 (.f32 u1 u1) (+.f32 (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 2/9)) (.f32 (sqrt.f32 u1) 11/72)) (fma.f32 u1 (*.f32 (sqrt.f32 u1) 1/2) (sqrt.f32 u1)))
(fma.f32 (.f32 u1 u1) (+.f32 (.f32 (pow.f32 (pow.f32 u1 1/6) 3) 2/9) (.f32 (sqrt.f32 u1) 11/72)) (fma.f32 u1 (.f32 (sqrt.f32 u1) 1/2) (sqrt.f32 u1)))
(+.f32 (.f32 (+.f32 (.f32 1/18 (sqrt.f32 u1)) (+.f32 (.f32 7/72 (sqrt.f32 u1)) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6)))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) u1) (.f32 (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6))) (+.f32 (.f32 91/1296 (sqrt.f32 u1)) (+.f32 (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 91/648 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/216 (pow.f32 (.f32 1 u1) 1/3)))) (.f32 7/216 (sqrt.f32 u1))))) (pow.f32 u1 3)))))
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(pow.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)) 1/3)
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(pow.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) 1/3)
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

eval764.0ms (7.5%)

Compiler: Compiled 25890 to 19174 computations (25.9% saved)

prune348.0ms (3.4%)

Pruning

38 alts after pruning (32 fresh and 6 done)

	Pruned	Kept	Total
New	991	12	1003
Fresh	7	20	27
Picked	1	0	1
Done	2	6	8
Total	1001	38	1039

Error

0.0b

Counts

1039 → 38

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.7b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
	5.8b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
	5.7b	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	0.5b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	5.8b	(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
	3.0b	(+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
✓	1.5b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.3b	(.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.3b	(.f32 (pow.f32 (pow.f32 u1 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.1b	(.f32 (pow.f32 (exp.f32 1/2) (log.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.4b	(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
	0.5b	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	3.0b	(.f32 (+.f32 (.f32 u2 (*.f32 -98696044010906577398881/5000000000000000000000 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
	3.1b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 (-.f32 (pow.f32 u1 -2) (.f32 u1 u1)) (+.f32 u1 (/.f32 1 u1))))))
▶	6.1b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 1 u1))))
	6.0b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (+.f32 u1 (.f32 u1 u1))))
	3.1b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1))) (+.f32 u1 (/.f32 1 u1)))))
	9.3b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 u1))
	8.3b	(.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	3.7b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
▶	2.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))))
	2.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	8.8b	(.f32 (sqrt.f32 u1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1)))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.7b	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	7.6b	(.f32 (cbrt.f32 (pow.f32 u1 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	5.7b	(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
	5.7b	(sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))
✓	5.6b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	5.7b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
✓	10.8b	(sqrt.f32 u1)

Compiler

Compiled 1151 to 906 computations (21.3% saved)

localize47.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f32 (/.f32 1 u1) 1)
✓	0.1b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
✓	0.2b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 42 to 33 computations (21.4% saved)

series7.0ms (0.1%)

Counts

3 → 35

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	inf	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
1.0ms	u2	@	inf	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	0	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	0	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary32`
303×	`pow2_binary32`
294×	`pow-prod-down_binary32`
221×	`prod-diff_binary32`
210×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	255	35
2	3012	35

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(-.f32 (/.f32 1 u1) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) 1))))))

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

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

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

843×	`fma-def_binary32`
624×	`times-frac_binary32`
377×	`distribute-rgt-in_binary32`
353×	`associate-/l*_binary32`
347×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	2446
1	791	2293
2	2298	2086

Stop Event

1×	node limit

Counts

131 → 182

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(+.f32 (.f32 5/16 (sqrt.f32 (pow.f32 u1 7))) (+.f32 (sqrt.f32 u1) (+.f32 (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(/.f32 1 u1)
-1
-1
(+.f32 0 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(pow.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)) 1/2)
(pow.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2)) 1/3)
(pow.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6)) 3)
(pow.f32 (.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4)) 2)
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2)))
(expm1.f32 (log1p.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(log1p.f32 (expm1.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1/3))
(exp.f32 (.f32 (log.f32 (.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6))) 3))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))) 1) 1))
(+.f32 0 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) 1)
(*.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1)
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6))
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -1) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6))
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1))
(log.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2))
(expm1.f32 (log1p.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(log1p.f32 (expm1.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(exp.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1))
(exp.f32 (.f32 (.f32 2 (log.f32 (+.f32 (/.f32 1 u1) -1))) -1/4))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2)) 1/3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6)) 3))
(exp.f32 (.f32 (.f32 -1/4 (log.f32 (+.f32 (/.f32 1 u1) -1))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1) -1/2))
(exp.f32 (.f32 (.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1) 1))
(exp.f32 (.f32 (.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) -1/4) 2))
(+.f32 (/.f32 1 u1) -1)
(+.f32 0 (+.f32 (/.f32 1 u1) -1))
(+.f32 -1 (/.f32 1 u1))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1))) 2)) (log.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))) (log.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 1 (+.f32 (/.f32 1 u1) -1))
(*.f32 (+.f32 (/.f32 1 u1) -1) 1)
(*.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (+.f32 (pow.f32 u1 -3) -1) (/.f32 1 (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1)))))
(*.f32 (+.f32 (pow.f32 u1 -2) -1) (/.f32 1 (+.f32 1 (/.f32 1 u1))))
(*.f32 (+.f32 (pow.f32 u1 -1/2) 1) (-.f32 (pow.f32 u1 -1/2) 1))
(/.f32 1 (/.f32 (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (+.f32 (pow.f32 u1 -3) -1)))
(/.f32 1 (/.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 (pow.f32 u1 -2) -1)))
(/.f32 (+.f32 (pow.f32 u1 -3) -1) (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))))
(/.f32 (+.f32 (pow.f32 u1 -3) -1) (+.f32 (pow.f32 u1 -2) (-.f32 1 (*.f32 (/.f32 1 u1) -1))))
(/.f32 (+.f32 (pow.f32 u1 -2) -1) (+.f32 1 (/.f32 1 u1)))
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 -3) -1)) (neg.f32 (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 -2) -1)) (neg.f32 (+.f32 1 (/.f32 1 u1))))
(pow.f32 (+.f32 (/.f32 1 u1) -1) 1)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2) 1/2)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 3)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)
(pow.f32 (/.f32 (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (+.f32 (pow.f32 u1 -3) -1)) -1)
(pow.f32 (/.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 (pow.f32 u1 -2) -1)) -1)
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2))
(log.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (/.f32 1 u1) -1))))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3))
(expm1.f32 (neg.f32 (log.f32 u1)))
(expm1.f32 (*.f32 (log.f32 u1) -1))
(expm1.f32 (*.f32 (neg.f32 (log.f32 u1)) 1))
(log1p.f32 (expm1.f32 (+.f32 (/.f32 1 u1) -1)))
(exp.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)))
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1))
(exp.f32 (.f32 (.f32 3 (log.f32 (+.f32 (/.f32 1 u1) -1))) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) 3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1) 1))
(fma.f32 1 (/.f32 1 u1) -1)
(fma.f32 (/.f32 1 u1) 1 -1)
(fma.f32 (/.f32 1 (cbrt.f32 u1)) (cbrt.f32 (pow.f32 u1 -2)) -1)
(fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (/.f32 1 (cbrt.f32 u1)) -1)
(fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (*.f32 (/.f32 1 (cbrt.f32 u1)) 1) -1)
(fma.f32 (pow.f32 u1 -1/2) (pow.f32 u1 -1/2) -1)
(fma.f32 (pow.f32 u1 -1/2) (*.f32 (pow.f32 u1 -1/2) 1) -1)
(fma.f32 -1 (/.f32 1 (neg.f32 u1)) -1)
(fma.f32 (pow.f32 (cbrt.f32 u1) -2) (/.f32 1 (cbrt.f32 u1)) -1)

Outputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) u1) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (+.f32 1 (+.f32 -1/2 (.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2))) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2))))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
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(exp.f32 (.f32 (.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1) 1))
(+.f32 -1 (/.f32 1 u1))
(fma.f32 1 (/.f32 1 u1) -1)
(+.f32 -1 (/.f32 1 u1))
(fma.f32 (/.f32 1 u1) 1 -1)
(+.f32 -1 (/.f32 1 u1))
(fma.f32 (/.f32 1 (cbrt.f32 u1)) (cbrt.f32 (pow.f32 u1 -2)) -1)
(+.f32 -1 (/.f32 (cbrt.f32 (pow.f32 u1 -2)) (cbrt.f32 u1)))
(fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (/.f32 1 (cbrt.f32 u1)) -1)
(fma.f32 (/.f32 1 (cbrt.f32 u1)) (cbrt.f32 (pow.f32 u1 -2)) -1)
(+.f32 -1 (/.f32 (cbrt.f32 (pow.f32 u1 -2)) (cbrt.f32 u1)))
(fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (*.f32 (/.f32 1 (cbrt.f32 u1)) 1) -1)
(fma.f32 (/.f32 1 (cbrt.f32 u1)) (cbrt.f32 (pow.f32 u1 -2)) -1)
(+.f32 -1 (/.f32 (cbrt.f32 (pow.f32 u1 -2)) (cbrt.f32 u1)))
(fma.f32 (pow.f32 u1 -1/2) (pow.f32 u1 -1/2) -1)
(+.f32 -1 (/.f32 1 u1))
(fma.f32 (pow.f32 u1 -1/2) (*.f32 (pow.f32 u1 -1/2) 1) -1)
(+.f32 -1 (/.f32 1 u1))
(fma.f32 -1 (/.f32 1 (neg.f32 u1)) -1)
(+.f32 -1 (/.f32 1 u1))
(fma.f32 (pow.f32 (cbrt.f32 u1) -2) (/.f32 1 (cbrt.f32 u1)) -1)
(+.f32 -1 (pow.f32 (/.f32 1 (cbrt.f32 u1)) 3))

localize50.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(-.f32 (/.f32 1 u1) 1)
	0.1b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)

Compiler

Compiled 21 to 17 computations (19% saved)

localize62.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 1 u1)))
✓	0.2b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 1 u1))))
✓	0.4b	(/.f32 (+.f32 u1 1) (/.f32 1 u1))
	0.4b	(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))

Compiler

Compiled 59 to 38 computations (35.6% saved)

series7.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	-inf	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 1 u1))))
1.0ms	u1	@	0	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 1 u1))))
1.0ms	u1	@	inf	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 1 u1))))
1.0ms	u2	@	0	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 1 u1))))
0.0ms	u2	@	inf	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 1 u1))))

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`log-prod_binary32`
409×	`prod-diff_binary32`
324×	`fma-def_binary32`
239×	`pow1/3_binary32`
235×	`log1p-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	290	35
2	3884	35

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

Inputs

(/.f32 (+.f32 u1 1) (/.f32 1 u1))

(*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 1 u1))))

(sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 1 u1)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))) (*.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))))) (#(struct:change #<rule egg-rr> (2) 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1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 (pow.f32 (*.f32 u2 u2) 3) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1) (sqrt.f32 (+.f32 u1 1))) (*.f32 (-.f32 (fma.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 1) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) (pow.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 -1) (sqrt.f32 (+.f32 u1 1))) (*.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1) (pow.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (+.f32 u1 1)) (fma.f32 (pow.f32 (*.f32 u2 u2) 3) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (hypot.f32 1 (*.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000))) (pow.f32 (*.f32 u1 (+.f32 u1 1)) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) 3) (pow.f32 (*.f32 u1 (+.f32 u1 1)) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (*.f32 u1 (+.f32 u1 1)) 3/2) (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 u1 (+.f32 u1 1)) (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (fma.f32 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(#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))) 1 (*.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))) 1 (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))) (cbrt.f32 (*.f32 u1 (+.f32 u1 1))) (*.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))) (cbrt.f32 (*.f32 u1 (+.f32 u1 1))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 u1 (+.f32 u1 1))) (cbrt.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))) (*.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 u1 (+.f32 u1 1))) (cbrt.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))) (*.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (*.f32 u1 (+.f32 u1 1)) 1/4) (pow.f32 (*.f32 u1 (+.f32 u1 1)) 1/4) (*.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (*.f32 u1 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))) (cbrt.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))) (cbrt.f32 (*.f32 u1 (+.f32 u1 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u1 (+.f32 u1 1))) (cbrt.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 u1 (+.f32 u1 1)) 1/4) (pow.f32 (*.f32 u1 (+.f32 u1 1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 u1 1)) (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 1 (pow.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (+.f32 u1 1))) 2)) (sqrt.f32 (cbrt.f32 (*.f32 u1 (+.f32 u1 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (+.f32 u1 1))) 2) 1/2) (pow.f32 (cbrt.f32 (*.f32 u1 (+.f32 u1 1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (sqrt.f32 (/.f32 1 (*.f32 u1 (+.f32 u1 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (pow.f32 u1 -1/2) (sqrt.f32 (+.f32 u1 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 u1 1)) (pow.f32 u1 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (fma.f32 -1 u1 -1)) (sqrt.f32 (/.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sqrt.f32 (+.f32 u1 1))) (neg.f32 (pow.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u1 (+.f32 u1 1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u1 (+.f32 u1 1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u1 (+.f32 u1 1)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 1 (*.f32 u1 (+.f32 u1 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 u1 -1/2) (sqrt.f32 (+.f32 u1 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u1 (+.f32 u1 1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 1/2 (+.f32 (log1p.f32 u1) (log.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (+.f32 (log1p.f32 u1) (log.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/2 (+.f32 (log1p.f32 u1) (log.f32 u1))) 1))))))

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

569×	`associate-/r*_binary32`
536×	`associate-/l*_binary32`
382×	`times-frac_binary32`
290×	`associate-*l/_binary32`
234×	`associate-*r/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	363	3109
1	873	2625
2	3193	2446

Stop Event

1×	node limit

Counts

177 → 250

Calls

Call 1

Inputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) u1)
(pow.f32 u1 2)
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) u1)
(pow.f32 u1 2)
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) u1)
(sqrt.f32 (*.f32 (+.f32 1 u1) u1))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (*.f32 (+.f32 1 u1) u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (*.f32 (+.f32 1 u1) u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1)
(+.f32 (.f32 1/2 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1))
(+.f32 (.f32 1/2 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (+.f32 (.f32 -1/8 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1)) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1)))
(+.f32 (.f32 1/2 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (+.f32 (.f32 -1/8 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1)) (+.f32 (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1) (.f32 1/16 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (pow.f32 u1 2))))))
(.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1)))
(+.f32 (.f32 1/2 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1))))
(+.f32 (.f32 1/2 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (+.f32 (.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1))) (.f32 1/8 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (*.f32 (pow.f32 (sqrt.f32 -1) 2) u1)))))
(+.f32 (.f32 1/2 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (+.f32 (.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1))) (+.f32 (.f32 1/8 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (.f32 (pow.f32 (sqrt.f32 -1) 2) u1))) (.f32 1/16 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 u1 2)))))))
u1
(+.f32 1/2 u1)
(-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))
(-.f32 (+.f32 1/2 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u1 2))) u1)) (.f32 1/8 (/.f32 1 u1)))
(.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) u1))
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(/.f32 (neg.f32 (sqrt.f32 (+.f32 u1 1))) (neg.f32 (pow.f32 u1 -1/2)))
(pow.f32 (*.f32 u1 (+.f32 u1 1)) 1/2)
(pow.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))) 1)
(pow.f32 (pow.f32 (*.f32 u1 (+.f32 u1 1)) 3/2) 1/3)
(pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))) 3)
(pow.f32 (pow.f32 (*.f32 u1 (+.f32 u1 1)) 1/4) 2)
(pow.f32 (sqrt.f32 (/.f32 1 (*.f32 u1 (+.f32 u1 1)))) -1)
(pow.f32 (/.f32 (pow.f32 u1 -1/2) (sqrt.f32 (+.f32 u1 1))) -1)
(fabs.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))
(log.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))))
(cbrt.f32 (pow.f32 (*.f32 u1 (+.f32 u1 1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))
(exp.f32 (*.f32 1/2 (+.f32 (log1p.f32 u1) (log.f32 u1))))
(exp.f32 (*.f32 (+.f32 (log1p.f32 u1) (log.f32 u1)) 1/2))
(exp.f32 (.f32 (.f32 1/2 (+.f32 (log1p.f32 u1) (log.f32 u1))) 1))

Outputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(pow.f32 u1 2)
(*.f32 u1 u1)
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(pow.f32 u1 2)
(*.f32 u1 u1)
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(sqrt.f32 (*.f32 (+.f32 1 u1) u1))
(sqrt.f32 (*.f32 u1 (+.f32 u1 1)))
(sqrt.f32 (fma.f32 u1 u1 u1))
(hypot.f32 u1 (sqrt.f32 u1))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (hypot.f32 u1 (sqrt.f32 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (hypot.f32 u1 (sqrt.f32 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (hypot.f32 u1 (sqrt.f32 u1)))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (*.f32 (+.f32 1 u1) u1))))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 1))) (.f32 u2 u2)))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1)))))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (hypot.f32 u1 (sqrt.f32 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (hypot.f32 u1 (sqrt.f32 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (hypot.f32 u1 (sqrt.f32 u1)))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (*.f32 (+.f32 1 u1) u1))))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 1))) (.f32 u2 u2)))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (*.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1)))))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (*.f32 u2 (hypot.f32 u1 (sqrt.f32 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (hypot.f32 u1 (sqrt.f32 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (hypot.f32 u1 (sqrt.f32 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))) (sqrt.f32 (.f32 (+.f32 1 u1) u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (hypot.f32 u1 (sqrt.f32 u1)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1)
(.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(+.f32 (.f32 1/2 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1))
(fma.f32 1/2 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (+.f32 u1 1/2))
(+.f32 (.f32 1/2 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (+.f32 (.f32 -1/8 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1)) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1)))
(fma.f32 1/2 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (fma.f32 -1/8 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) u1) (.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))))
(+.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (+.f32 u1 1/2)) (/.f32 -1/8 (/.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))))
(+.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (+.f32 u1 1/2)) (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (/.f32 -1/8 u1)))
(+.f32 (.f32 1/2 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (+.f32 (.f32 -1/8 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1)) (+.f32 (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1) (.f32 1/16 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (pow.f32 u1 2))))))
(fma.f32 1/2 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (fma.f32 -1/8 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) u1) (fma.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) u1 (.f32 1/16 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 u1))))))
(+.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (+.f32 u1 1/2)) (fma.f32 1/16 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 u1)) (/.f32 -1/8 (/.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))))
(+.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (+.f32 u1 1/2)) (.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) u1) (+.f32 (/.f32 1/16 u1) -1/8)))
(.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1)))
(.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(+.f32 (.f32 1/2 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1))))
(fma.f32 1/2 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (+.f32 u1 1/2))
(+.f32 (.f32 1/2 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (+.f32 (.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1))) (.f32 1/8 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (*.f32 (pow.f32 (sqrt.f32 -1) 2) u1)))))
(fma.f32 1/2 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (fma.f32 -1/8 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) u1) (.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))))
(+.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (+.f32 u1 1/2)) (/.f32 -1/8 (/.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))))
(+.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (+.f32 u1 1/2)) (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (/.f32 -1/8 u1)))
(+.f32 (.f32 1/2 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (+.f32 (.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1))) (+.f32 (.f32 1/8 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (.f32 (pow.f32 (sqrt.f32 -1) 2) u1))) (.f32 1/16 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 u1 2)))))))
(fma.f32 1/2 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (fma.f32 -1/8 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) u1) (fma.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) u1 (.f32 1/16 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 u1))))))
(+.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (+.f32 u1 1/2)) (fma.f32 1/16 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 u1)) (/.f32 -1/8 (/.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))))
(+.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (+.f32 u1 1/2)) (.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) u1) (+.f32 (/.f32 1/16 u1) -1/8)))
u1
(+.f32 1/2 u1)
(+.f32 u1 1/2)
(-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))
(+.f32 1/2 (-.f32 u1 (/.f32 1/8 u1)))
(+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1)))
(-.f32 (+.f32 1/2 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u1 2))) u1)) (.f32 1/8 (/.f32 1 u1)))
(-.f32 (+.f32 (+.f32 1/2 (/.f32 1/16 (*.f32 u1 u1))) u1) (/.f32 1/8 u1))
(+.f32 (+.f32 u1 (/.f32 1/16 (*.f32 u1 u1))) (+.f32 1/2 (/.f32 -1/8 u1)))
(+.f32 (fma.f32 1/16 (pow.f32 u1 -2) u1) (-.f32 1/2 (/.f32 1/8 u1)))
(.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) u1))
u1
(+.f32 1/2 (.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) u1)))
(+.f32 u1 1/2)
(+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) u1))) (+.f32 1/2 (.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) u1))))
(+.f32 1/2 (-.f32 u1 (/.f32 1/8 u1)))
(+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1)))
(+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) u1))) (+.f32 1/2 (+.f32 (.f32 1/16 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 u1 2)))) (.f32 -1 (.f32 (pow.f32 (sqrt.f32 -1) 2) u1)))))
(-.f32 (+.f32 (+.f32 1/2 (/.f32 1/16 (*.f32 u1 u1))) u1) (/.f32 1/8 u1))
(+.f32 (+.f32 u1 (/.f32 1/16 (*.f32 u1 u1))) (+.f32 1/2 (/.f32 -1/8 u1)))
(+.f32 (fma.f32 1/16 (pow.f32 u1 -2) u1) (-.f32 1/2 (/.f32 1/8 u1)))
(+.f32 0 (*.f32 u1 (+.f32 u1 1)))
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 u1 1)) u1)) (cbrt.f32 (pow.f32 (exp.f32 (+.f32 u1 1)) u1)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 u1 1)) u1))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 u1 1)) u1)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 u1 1)) u1))))
(*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 u1 1)) u1))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (+.f32 u1 1)) u1))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (+.f32 u1 1)) u1))))
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 u1 (+.f32 u1 1)))) 1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(*.f32 u1 (+.f32 u1 1))
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(.f32 1 (.f32 u1 (+.f32 u1 1)))
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(*.f32 (+.f32 u1 1) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(.f32 (.f32 u1 (+.f32 u1 1)) 1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
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(sqrt.f32 (*.f32 u1 (+.f32 u1 1)))
(sqrt.f32 (fma.f32 u1 u1 u1))
(hypot.f32 u1 (sqrt.f32 u1))
(pow.f32 (pow.f32 (*.f32 u1 (+.f32 u1 1)) 1/4) 2)
(sqrt.f32 (*.f32 u1 (+.f32 u1 1)))
(sqrt.f32 (fma.f32 u1 u1 u1))
(hypot.f32 u1 (sqrt.f32 u1))
(pow.f32 (sqrt.f32 (/.f32 1 (*.f32 u1 (+.f32 u1 1)))) -1)
(/.f32 1 (sqrt.f32 (/.f32 (/.f32 1 u1) (+.f32 u1 1))))
(/.f32 1 (sqrt.f32 (/.f32 1 (fma.f32 u1 u1 u1))))
(pow.f32 (/.f32 (pow.f32 u1 -1/2) (sqrt.f32 (+.f32 u1 1))) -1)
(*.f32 (sqrt.f32 (+.f32 u1 1)) (/.f32 1 (pow.f32 u1 -1/2)))
(/.f32 (sqrt.f32 (+.f32 u1 1)) (pow.f32 u1 -1/2))
(/.f32 (hypot.f32 1 (sqrt.f32 u1)) (pow.f32 u1 -1/2))
(fabs.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))
(sqrt.f32 (*.f32 u1 (+.f32 u1 1)))
(sqrt.f32 (fma.f32 u1 u1 u1))
(hypot.f32 u1 (sqrt.f32 u1))
(log.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))
(sqrt.f32 (*.f32 u1 (+.f32 u1 1)))
(sqrt.f32 (fma.f32 u1 u1 u1))
(hypot.f32 u1 (sqrt.f32 u1))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))))
(sqrt.f32 (*.f32 u1 (+.f32 u1 1)))
(sqrt.f32 (fma.f32 u1 u1 u1))
(hypot.f32 u1 (sqrt.f32 u1))
(cbrt.f32 (pow.f32 (*.f32 u1 (+.f32 u1 1)) 3/2))
(cbrt.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))
(sqrt.f32 (*.f32 u1 (+.f32 u1 1)))
(sqrt.f32 (fma.f32 u1 u1 u1))
(hypot.f32 u1 (sqrt.f32 u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))
(sqrt.f32 (*.f32 u1 (+.f32 u1 1)))
(sqrt.f32 (fma.f32 u1 u1 u1))
(hypot.f32 u1 (sqrt.f32 u1))
(exp.f32 (*.f32 1/2 (+.f32 (log1p.f32 u1) (log.f32 u1))))
(pow.f32 (exp.f32 1/2) (+.f32 (log1p.f32 u1) (log.f32 u1)))
(sqrt.f32 (*.f32 u1 (exp.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (+.f32 (log1p.f32 u1) (log.f32 u1)) 1/2))
(pow.f32 (exp.f32 1/2) (+.f32 (log1p.f32 u1) (log.f32 u1)))
(sqrt.f32 (*.f32 u1 (exp.f32 (log1p.f32 u1))))
(exp.f32 (.f32 (.f32 1/2 (+.f32 (log1p.f32 u1) (log.f32 u1))) 1))
(pow.f32 (exp.f32 1/2) (+.f32 (log1p.f32 u1) (log.f32 u1)))
(sqrt.f32 (*.f32 u1 (exp.f32 (log1p.f32 u1))))

localize79.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
✓	0.4b	(*.f32 u2 -98696044010906577398881/5000000000000000000000)
✓	0.4b	(.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)

Compiler

Compiled 84 to 49 computations (41.7% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	u2	@	-inf	(*.f32 u2 -98696044010906577398881/5000000000000000000000)
0.0ms	u2	@	0	(*.f32 u2 -98696044010906577398881/5000000000000000000000)
0.0ms	u2	@	0	(.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)
0.0ms	u2	@	inf	(.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)
0.0ms	u2	@	inf	(*.f32 u2 -98696044010906577398881/5000000000000000000000)

rewrite140.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`pow1_binary32`
654×	`add-log-exp_binary32`
654×	`log1p-expm1-u_binary32`
654×	`expm1-log1p-u_binary32`
641×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	164	18
2	1843	18

Stop Event

1×	node limit

Counts

3 → 35

Calls

Call 1

Inputs

(*.f32 (*.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)

(*.f32 u2 -98696044010906577398881/5000000000000000000000)

(*.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 (*.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (*.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (*.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (sqrt.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 u2 4) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (*.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (*.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (*.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (*.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 u2 u2) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 -98696044010906577398881/5000000000000000000000) u2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (*.f32 u2 -98696044010906577398881/5000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))))))

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1183×	`log-prod_binary32`
761×	`fma-def_binary32`
564×	`unswap-sqr_binary32`
522×	`fma-neg_binary32`
199×	`log-pow_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	428
1	217	428
2	869	428
3	3435	428
4	7021	428

Stop Event

1×	node limit

Counts

71 → 42

Calls

Call 1

Inputs
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(-.f32 (+.f32 1 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) 1)
(pow.f32 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 1)
(pow.f32 (pow.f32 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) 3)
(pow.f32 (*.f32 u2 (sqrt.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) 2)
(sqrt.f32 (*.f32 (pow.f32 u2 4) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))
(cbrt.f32 (pow.f32 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 3))
(expm1.f32 (log1p.f32 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))
(log1p.f32 (expm1.f32 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))
(exp.f32 (log.f32 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))
(-.f32 (+.f32 1 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) 1)
(pow.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000) 1)
(pow.f32 (pow.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) 3)
(pow.f32 (sqrt.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) 2)
(sqrt.f32 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000))
(log.f32 (pow.f32 (exp.f32 -98696044010906577398881/5000000000000000000000) u2))
(cbrt.f32 (pow.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000) 3))
(expm1.f32 (log1p.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000)))
(log1p.f32 (expm1.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000)))
(exp.f32 (log.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000)))
(-.f32 (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))) 1)
(pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 1)
(pow.f32 (pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))) 3)
(pow.f32 (*.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000)) 2)
(sqrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 u2 -98696044010906577398881/5000000000000000000000)))
(cbrt.f32 (pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 3))
(cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 u2 -98696044010906577398881/5000000000000000000000) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 u2 -98696044010906577398881/5000000000000000000000) 3) (pow.f32 u2 3)))
(expm1.f32 (log1p.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
(log1p.f32 (expm1.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
(exp.f32 (log.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))

Outputs
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 2))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(*.f32 -98696044010906577398881/5000000000000000000000 u2)
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(-.f32 (+.f32 1 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) 1)
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(pow.f32 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 1)
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(pow.f32 (pow.f32 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 3) 1/3)
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(pow.f32 (cbrt.f32 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) 3)
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(pow.f32 (*.f32 u2 (sqrt.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) 2)
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(sqrt.f32 (*.f32 (pow.f32 u2 4) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u2) u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(cbrt.f32 (pow.f32 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 3))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(expm1.f32 (log1p.f32 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(log1p.f32 (expm1.f32 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(exp.f32 (log.f32 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))
(.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2))
(-.f32 (+.f32 1 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) 1)
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(pow.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000) 1)
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(pow.f32 (pow.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000) 3) 1/3)
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(pow.f32 (cbrt.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) 3)
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(pow.f32 (sqrt.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) 2)
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(sqrt.f32 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000))
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(log.f32 (pow.f32 (exp.f32 -98696044010906577398881/5000000000000000000000) u2))
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(cbrt.f32 (pow.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000) 3))
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(expm1.f32 (log1p.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000)))
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(log1p.f32 (expm1.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000)))
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(exp.f32 (log.f32 (*.f32 u2 -98696044010906577398881/5000000000000000000000)))
(*.f32 u2 -98696044010906577398881/5000000000000000000000)
(-.f32 (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))) 1)
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 1)
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(pow.f32 (pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 3) 1/3)
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(pow.f32 (cbrt.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))) 3)
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(pow.f32 (*.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000)) 2)
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(sqrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 u2 -98696044010906577398881/5000000000000000000000)))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(cbrt.f32 (pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 3))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 u2 -98696044010906577398881/5000000000000000000000) 3)))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(cbrt.f32 (.f32 (pow.f32 (.f32 u2 -98696044010906577398881/5000000000000000000000) 3) (pow.f32 u2 3)))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(expm1.f32 (log1p.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(log1p.f32 (expm1.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(exp.f32 (log.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
(.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))

localize71.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f32 (-.f32 1 u1))
✓	0.2b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))
✓	0.3b	(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
✓	0.4b	(*.f32 u2 314159265359/50000000000)

Compiler

Compiled 44 to 31 computations (29.5% saved)

series9.0ms (0.1%)

Counts

4 → 52

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	inf	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))
1.0ms	u1	@	inf	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))
1.0ms	u1	@	-inf	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))
1.0ms	u2	@	0	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))
0.0ms	u2	@	-inf	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`log-prod_binary32`
361×	`pow-prod-down_binary32`
310×	`pow2_binary32`
291×	`prod-diff_binary32`
217×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	249	43
2	3091	43

Stop Event

1×	node limit

Counts

4 → 114

Calls

Call 1

Inputs
(*.f32 u2 314159265359/50000000000)
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (-.f32 1 u1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u2 314159265359/50000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u2 314159265359/50000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (*.f32 u2 314159265359/50000000000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (pow.f32 (-.f32 1 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (pow.f32 (-.f32 1 u1) 1/4)) (pow.f32 (-.f32 1 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (-.f32 1 u1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) (.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (-.f32 1 u1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1))) (cbrt.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (-.f32 1 u1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (/.f32 1 (neg.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (-.f32 1 u1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) 1) (/.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 1) (/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule 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1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 u2 314159265359/50000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (pow.f32 (-.f32 1 u1) 3/2)) 1/3)))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (-.f32 1 u1)) (pow.f32 (-.f32 1 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (-.f32 1 u1) 1/6) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 1 (.f32 u1 u1))) (sqrt.f32 (+.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 3))) (hypot.f32 1 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 1 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 1 u1) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 1 u1) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 1 u1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 1 u1) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 1 u1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (-.f32 1 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 1 (sqrt.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log1p.f32 (neg.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1))))))

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

729×	`associate-/l*_binary32`
633×	`associate-/r*_binary32`
404×	`distribute-rgt-in_binary32`
388×	`distribute-lft-in_binary32`
233×	`log-prod_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	2827
1	897	2683
2	2878	2574

Stop Event

1×	node limit

Counts

166 → 228

Calls

Call 1

Inputs
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
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(*.f32 (sqrt.f32 (-.f32 1 u1)) 1)
(*.f32 (cbrt.f32 (-.f32 1 u1)) (pow.f32 (-.f32 1 u1) 1/6))
(*.f32 (pow.f32 (-.f32 1 u1) 1/6) (cbrt.f32 (-.f32 1 u1)))
(*.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 (+.f32 1 u1)))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 3))) (hypot.f32 1 (hypot.f32 u1 (sqrt.f32 u1))))
(pow.f32 (-.f32 1 u1) 1/2)
(pow.f32 (sqrt.f32 (-.f32 1 u1)) 1)
(pow.f32 (pow.f32 (-.f32 1 u1) 2) 1/4)
(pow.f32 (pow.f32 (-.f32 1 u1) 3) 1/6)
(pow.f32 (pow.f32 (-.f32 1 u1) 3/2) 1/3)
(pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)
(pow.f32 (pow.f32 (-.f32 1 u1) 1/6) 3)
(pow.f32 (pow.f32 (-.f32 1 u1) 1/4) 2)
(fabs.f32 (sqrt.f32 (-.f32 1 u1)))
(log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 1 u1)))))
(cbrt.f32 (pow.f32 (-.f32 1 u1) 3/2))
(hypot.f32 1 (sqrt.f32 (neg.f32 u1)))
(expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 1 u1))))
(exp.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2))
(exp.f32 (.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))) 1))

Outputs
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))
(fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1)))))
(fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 u1 (sqrt.f32 -1)) -1/2)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))))))
(+.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2))) u1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (/.f32 (.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 -1/2 (.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))))))
(+.f32 (fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (+.f32 -1/2 (.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2))) u1)))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))
(fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (/.f32 (.f32 (sqrt.f32 -1) 1/2) u1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 u1 u1)) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (/.f32 (.f32 (.f32 3/8 (sqrt.f32 -1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (*.f32 u1 u1))))
(+.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 (.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) u1) (sqrt.f32 -1)) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 u1 u1)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 3/8 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 5/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))))))
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(sqrt.f32 (/.f32 1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
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(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))))
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(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(+.f32 0 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 2 (log.f32 (cbrt.f32 (exp.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))))))
(.f32 3 (log.f32 (cbrt.f32 (exp.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))))
(.f32 2 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))))) 1)
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (-.f32 1 u1) -1/2))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2))
(.f32 1 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) 1)
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) (.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (-.f32 1 u1) -1/2)))
(.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 (pow.f32 (-.f32 1 u1) -1/2) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (pow.f32 (-.f32 1 u1) -1/2) (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cbrt.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1))))
(.f32 (cbrt.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (-.f32 1 u1))))
(.f32 (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1))) (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))
(.f32 (cbrt.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (-.f32 1 u1))))
(.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (-.f32 1 u1) -1/2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2))
(.f32 (sqrt.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (neg.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (/.f32 1 (neg.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (pow.f32 (-.f32 1 u1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) 1) (/.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1))))
(.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (/.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 1) (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1))) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (-.f32 1 u1) 1/6)))
(.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1))) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) 1/6)))
(/.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) 1/6)) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (pow.f32 (-.f32 1 u1) 1/6) 3))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))
(.f32 (cbrt.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (cbrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 (-.f32 1 u1) 1/6)))
(.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1))) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) 1/6)))
(/.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) 1/6)) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (pow.f32 (-.f32 1 u1) 1/6) 3))
(.f32 (pow.f32 (-.f32 1 u1) -1/4) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (-.f32 1 u1) 1/4)))
(/.f32 (.f32 (pow.f32 (-.f32 1 u1) -1/4) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (-.f32 1 u1) 1/4))
(.f32 (pow.f32 (-.f32 1 u1) -1/4) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) 1/4)))
(.f32 (/.f32 (pow.f32 (-.f32 1 u1) -1/4) (pow.f32 (-.f32 1 u1) 1/4)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 (-.f32 1 u1) 1/4)))
(.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (/.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) 1)
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) 1/2)
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (-.f32 1 u1)))
(pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) 3) 1/3)
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))) 3)
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))) 2)
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) -1)
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3) (pow.f32 (-.f32 1 u1) 3/2)) 1/3)
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) 1) -1)
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(neg.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (neg.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)))
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (-.f32 1 u1)))
(log.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(cbrt.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) 3))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3) (pow.f32 (-.f32 1 u1) 3/2)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(expm1.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(log1p.f32 (expm1.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(exp.f32 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(exp.f32 (.f32 (log.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))) 1))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(+.f32 0 (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (-.f32 1 u1))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1)))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))))
(*.f32 3 (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1)))) 1)
(sqrt.f32 (-.f32 1 u1))
(*.f32 1 (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (-.f32 1 u1))
(*.f32 (sqrt.f32 (-.f32 1 u1)) 1)
(sqrt.f32 (-.f32 1 u1))
(*.f32 (cbrt.f32 (-.f32 1 u1)) (pow.f32 (-.f32 1 u1) 1/6))
(pow.f32 (pow.f32 (-.f32 1 u1) 1/6) 3)
(*.f32 (pow.f32 (-.f32 1 u1) 1/6) (cbrt.f32 (-.f32 1 u1)))
(*.f32 (cbrt.f32 (-.f32 1 u1)) (pow.f32 (-.f32 1 u1) 1/6))
(pow.f32 (pow.f32 (-.f32 1 u1) 1/6) 3)
(*.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4))
(sqrt.f32 (-.f32 1 u1))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (-.f32 1 u1))
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 (+.f32 1 u1)))
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 (+.f32 u1 1)))
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (hypot.f32 1 (sqrt.f32 u1)))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 3))) (hypot.f32 1 (hypot.f32 u1 (sqrt.f32 u1))))
(pow.f32 (-.f32 1 u1) 1/2)
(sqrt.f32 (-.f32 1 u1))
(pow.f32 (sqrt.f32 (-.f32 1 u1)) 1)
(sqrt.f32 (-.f32 1 u1))
(pow.f32 (pow.f32 (-.f32 1 u1) 2) 1/4)
(pow.f32 (pow.f32 (-.f32 1 u1) 3) 1/6)
(pow.f32 (pow.f32 (-.f32 1 u1) 3/2) 1/3)
(cbrt.f32 (pow.f32 (-.f32 1 u1) 3/2))
(pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)
(pow.f32 (pow.f32 (-.f32 1 u1) 1/6) 3)
(*.f32 (cbrt.f32 (-.f32 1 u1)) (pow.f32 (-.f32 1 u1) 1/6))
(pow.f32 (pow.f32 (-.f32 1 u1) 1/4) 2)
(sqrt.f32 (-.f32 1 u1))
(fabs.f32 (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (-.f32 1 u1))
(log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))
(sqrt.f32 (-.f32 1 u1))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 1 u1)))))
(sqrt.f32 (-.f32 1 u1))
(cbrt.f32 (pow.f32 (-.f32 1 u1) 3/2))
(hypot.f32 1 (sqrt.f32 (neg.f32 u1)))
(expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1))))
(sqrt.f32 (-.f32 1 u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 1 u1))))
(sqrt.f32 (-.f32 1 u1))
(exp.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 (-.f32 1 u1))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2))
(sqrt.f32 (-.f32 1 u1))
(exp.f32 (.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))) 1))
(sqrt.f32 (-.f32 1 u1))

eval556.0ms (5.4%)

Compiler: Compiled 20244 to 14731 computations (27.2% saved)

prune264.0ms (2.6%)

Pruning

49 alts after pruning (41 fresh and 8 done)

	Pruned	Kept	Total
New	959	19	978
Fresh	5	22	27
Picked	1	0	1
Done	2	8	10
Total	967	49	1016

Error

0.0b

Counts

1016 → 49

Alt Table

Click to see full alt table

Status	Error	Program
	10.8b	(pow.f32 (/.f32 1 u1) -1/2)
✓	5.7b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
	5.8b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
	8.2b	(hypot.f32 u1 (sqrt.f32 u1))
	6.0b	(/.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/6) (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))
	0.4b	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
	5.8b	(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
	6.0b	(+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (sqrt.f32 (.f32 u1 (+.f32 u1 1)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))
✓	1.5b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.3b	(.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.3b	(.f32 (pow.f32 (pow.f32 u1 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.6b	(.f32 (pow.f32 (/.f32 1 u1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.1b	(.f32 (pow.f32 (exp.f32 1/2) (log.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.2b	(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (+.f32 1 (.f32 u1 (+.f32 -1/2 (.f32 -1/8 u1))))) (sqrt.f32 u1))
	3.3b	(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (+.f32 1 (*.f32 u1 -1/2))) (sqrt.f32 u1))
	0.5b	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	3.0b	(.f32 (+.f32 (.f32 u2 (*.f32 -98696044010906577398881/5000000000000000000000 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
	6.2b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (pow.f32 (pow.f32 (.f32 u1 (+.f32 u1 1)) 1/4) 2))
	6.1b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (/.f32 1 (sqrt.f32 (/.f32 (/.f32 1 u1) (+.f32 u1 1)))))
	30.5b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1))))
	25.5b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 1/2))
	3.1b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 (-.f32 (pow.f32 u1 -2) (.f32 u1 u1)) (+.f32 u1 (/.f32 1 u1))))))
	3.0b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
	6.0b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (+.f32 u1 (.f32 u1 u1))))
	3.1b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1))) (+.f32 u1 (/.f32 1 u1)))))
	6.1b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (.f32 (+.f32 u1 1) u1)))
	9.3b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 u1))
	6.1b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (cbrt.f32 (pow.f32 (.f32 u1 (+.f32 u1 1)) 3/2)))
	8.3b	(.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	3.8b	(.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 u1) 1)) (sqrt.f32 u1))
	3.7b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	2.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	8.8b	(.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))))
	8.8b	(.f32 (sqrt.f32 u1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1)))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.7b	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	25.8b	(.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
	5.7b	(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
✓	5.6b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	5.7b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	8.2b	(sqrt.f32 (*.f32 (+.f32 1 u1) u1))
✓	10.8b	(sqrt.f32 u1)

Compiler

Compiled 778 to 617 computations (20.7% saved)

regimes399.0ms (3.9%)

Counts

79 → 1

Calls

Call 1

Inputs
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 1/2))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1))))
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(sqrt.f32 (*.f32 (+.f32 1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 u1))
(sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (.f32 (+.f32 u1 1) u1)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (+.f32 u1 (.f32 u1 u1))))
(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (/.f32 1 (sqrt.f32 (/.f32 (/.f32 1 u1) (+.f32 u1 1)))))
(.f32 (+.f32 (.f32 u2 (*.f32 -98696044010906577398881/5000000000000000000000 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(hypot.f32 u1 (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(.f32 (pow.f32 (/.f32 1 u1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 u1) 1)) (sqrt.f32 u1))
(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (+.f32 1 (*.f32 u1 -1/2))) (sqrt.f32 u1))
(/.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/6) (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))
(.f32 (sqrt.f32 u1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (cbrt.f32 (pow.f32 (.f32 u1 (+.f32 u1 1)) 3/2)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (pow.f32 (pow.f32 (.f32 u1 (+.f32 u1 1)) 1/4) 2))
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (+.f32 1 (.f32 u1 (+.f32 -1/2 (.f32 -1/8 u1))))) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (sqrt.f32 (.f32 u1 (+.f32 u1 1)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1))) (+.f32 u1 (/.f32 1 u1)))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 (-.f32 (pow.f32 u1 -2) (.f32 u1 u1)) (+.f32 u1 (/.f32 1 u1))))))
(+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (cbrt.f32 (pow.f32 u1 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (pow.f32 u1 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1))))
(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(.f32 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(.f32 (pow.f32 (exp.f32 1/2) (log.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))

Calls

8 calls:

75.0ms	u1
70.0ms	(*.f32 314159265359/50000000000 u2)
49.0ms	(/.f32 u1 (-.f32 1 u1))
39.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
37.0ms	cosTheta_i

Results

Error	Segments	Branch
0.3b	1	`cosTheta_i`
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
0.3b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.3b	1	`(/.f32 u1 (-.f32 1 u1))`
0.3b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
0.3b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 1120 to 776 computations (30.7% saved)

regimes362.0ms (3.5%)

Counts

66 → 1

Calls

Call 1

Inputs
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 1/2))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1))))
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(sqrt.f32 (*.f32 (+.f32 1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 u1))
(sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (.f32 (+.f32 u1 1) u1)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (+.f32 u1 (.f32 u1 u1))))
(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (/.f32 1 (sqrt.f32 (/.f32 (/.f32 1 u1) (+.f32 u1 1)))))
(.f32 (+.f32 (.f32 u2 (*.f32 -98696044010906577398881/5000000000000000000000 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(hypot.f32 u1 (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(.f32 (pow.f32 (/.f32 1 u1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 u1) 1)) (sqrt.f32 u1))
(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (+.f32 1 (*.f32 u1 -1/2))) (sqrt.f32 u1))
(/.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/6) (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))
(.f32 (sqrt.f32 u1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (cbrt.f32 (pow.f32 (.f32 u1 (+.f32 u1 1)) 3/2)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (pow.f32 (pow.f32 (.f32 u1 (+.f32 u1 1)) 1/4) 2))
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (+.f32 1 (.f32 u1 (+.f32 -1/2 (.f32 -1/8 u1))))) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (sqrt.f32 (.f32 u1 (+.f32 u1 1)))) (sqrt.f32 (*.f32 u1 (+.f32 u1 1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 (pow.f32 u1 -2) (*.f32 u1 u1))) (+.f32 u1 (/.f32 1 u1)))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 (-.f32 (pow.f32 u1 -2) (.f32 u1 u1)) (+.f32 u1 (/.f32 1 u1))))))
(+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (cbrt.f32 (pow.f32 u1 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (pow.f32 u1 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1))))
(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Calls

8 calls:

54.0ms	u1
52.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
51.0ms	u2
41.0ms	(/.f32 u1 (-.f32 1 u1))
34.0ms	(*.f32 314159265359/50000000000 u2)

Results

Error	Segments	Branch
0.3b	1	`cosTheta_i`
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
0.3b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.3b	1	`(/.f32 u1 (-.f32 1 u1))`
0.3b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
0.3b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 920 to 634 computations (31.1% saved)

regimes198.0ms (1.9%)

Counts

29 → 2

Calls

Call 1

Inputs
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 1/2))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1))))
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(sqrt.f32 (*.f32 (+.f32 1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 u1))
(sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (.f32 (+.f32 u1 1) u1)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (+.f32 u1 (.f32 u1 u1))))
(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (/.f32 1 (sqrt.f32 (/.f32 (/.f32 1 u1) (+.f32 u1 1)))))
(.f32 (+.f32 (.f32 u2 (*.f32 -98696044010906577398881/5000000000000000000000 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(hypot.f32 u1 (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(.f32 (pow.f32 (/.f32 1 u1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))

Outputs
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))

Calls

7 calls:

51.0ms	u2
45.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
27.0ms	(*.f32 314159265359/50000000000 u2)
14.0ms	u1
14.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

Error	Segments	Branch
2.9b	1	`cosTheta_i`
2.9b	1	`u1`
1.4b	2	`u2`
2.9b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
2.9b	1	`(/.f32 u1 (-.f32 1 u1))`
1.4b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
1.4b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 350 to 240 computations (31.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.997395396232605	0.9974337816238403

Compiler

Compiled 20 to 16 computations (20% saved)

regimes102.0ms (1%)

Counts

25 → 1

Calls

Call 1

Inputs
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 1/2))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1))))
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(sqrt.f32 (*.f32 (+.f32 1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 u1))
(sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (.f32 (+.f32 u1 1) u1)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (+.f32 u1 (.f32 u1 u1))))
(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (/.f32 1 (sqrt.f32 (/.f32 (/.f32 1 u1) (+.f32 u1 1)))))
(.f32 (+.f32 (.f32 u2 (*.f32 -98696044010906577398881/5000000000000000000000 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(hypot.f32 u1 (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))

Calls

5 calls:

32.0ms	u2
27.0ms	cosTheta_i
13.0ms	(/.f32 u1 (-.f32 1 u1))
12.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
11.0ms	u1

Results

Error	Segments	Branch
2.9b	1	`cosTheta_i`
2.9b	1	`u1`
2.9b	1	`u2`
2.9b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
2.9b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 305 to 207 computations (32.1% saved)

regimes74.0ms (0.7%)

Counts

14 → 1

Calls

Call 1

Inputs
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 1/2))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1))))
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(sqrt.f32 (*.f32 (+.f32 1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 u1))
(sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))

Calls

5 calls:

38.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
8.0ms	u2
8.0ms	cosTheta_i
7.0ms	(/.f32 u1 (-.f32 1 u1))
7.0ms	u1

Results

Error	Segments	Branch
2.9b	1	`cosTheta_i`
2.9b	1	`u1`
2.9b	1	`u2`
2.9b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
2.9b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 154 to 109 computations (29.2% saved)

regimes82.0ms (0.8%)

Counts

13 → 2

Calls

Call 1

Inputs
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 1/2))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1))))
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(sqrt.f32 (*.f32 (+.f32 1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 u1))
(sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))

Outputs
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 u1))

Calls

5 calls:

39.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
14.0ms	u2
9.0ms	(/.f32 u1 (-.f32 1 u1))
8.0ms	u1
7.0ms	cosTheta_i

Results

Error	Segments	Branch
5.6b	1	`cosTheta_i`
5.6b	1	`u1`
4.4b	2	`u2`
5.6b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
5.6b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 140 to 99 computations (29.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.0015073427930474281	0.001706669689156115

Compiler

Compiled 20 to 16 computations (20% saved)

regimes40.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 1/2))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1))))
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(sqrt.f32 (*.f32 (+.f32 1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(.f32 u1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))

Outputs
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Calls

5 calls:

8.0ms	cosTheta_i
8.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
8.0ms	u2
6.0ms	(/.f32 u1 (-.f32 1 u1))
6.0ms	u1

Results

Error	Segments	Branch
5.6b	1	`cosTheta_i`
5.6b	1	`u1`
5.6b	1	`u2`
5.6b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
5.6b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 118 to 86 computations (27.1% saved)

regimes16.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 1/2))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1))))
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(sqrt.f32 (*.f32 (+.f32 1 u1) u1))

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

Calls

3 calls:

6.0ms	u1
4.0ms	u2
4.0ms	cosTheta_i

Results

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

Compiler

Compiled 54 to 39 computations (27.8% saved)

regimes14.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 1/2))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1))))
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)

Outputs
(sqrt.f32 u1)

Calls

3 calls:

6.0ms	u2
4.0ms	u1
3.0ms	cosTheta_i

Results

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

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes12.0ms (0.1%)

Accuracy

Total -5.0b remaining (-19.6%)

Threshold costs -5.0b (-19.6%)

Counts

2 → 1

Calls

Call 1

Inputs

(*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 1/2))

(*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1))))

Outputs
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 1/2))

Calls

3 calls:

5.0ms	u2
3.0ms	u1
3.0ms	cosTheta_i

Results

Error	Segments	Branch
25.5b	1	`cosTheta_i`
25.5b	1	`u1`
25.5b	1	`u2`

Compiler

Compiled 41 to 30 computations (26.8% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary32`
6×	`+-commutative_binary32`
2×	`sub-neg_binary32`
1×	`neg-sub0_binary32`
1×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	191
1	62	191
2	66	191
3	68	191
4	69	191

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 16733595/16777216) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(if (<=.f32 u2 13743895/8589934592) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (+.f32 1 u1) u1))
(sqrt.f32 u1)
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 1/2))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 16733595/16777216) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(if (<=.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 16733595/16777216) (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(if (<=.f32 u2 13743895/8589934592) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 u1)))
(if (<=.f32 u2 13743895/8589934592) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 u1) (+.f32 1 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (+.f32 1 u1) u1))
(sqrt.f32 (*.f32 u1 (+.f32 u1 1)))
(sqrt.f32 u1)
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (+.f32 u1 1/2))
(.f32 (+.f32 1 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000)) (+.f32 u1 1/2))

Compiler

Compiled 156 to 120 computations (23.1% saved)

soundness79.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

613×	`times-frac_binary32`
598×	`associate-/l*_binary32`
336×	`log-prod_binary32`
269×	`sqr-pow_binary32`
180×	`exp-prod_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	459	2940
1	1098	2780
2	3614	2692

Stop Event

1×	node limit

Compiler

Compiled 46 to 38 computations (17.4% saved)

end69.0ms (0.7%)

Compiler: Compiled 129 to 88 computations (31.8% saved)

Iter	Nodes	Cost
0	25	68
1	40	68
2	50	68
3	66	68
4	86	68
5	112	68
6	143	68
7	190	68
8	234	68
9	243	68
10	246	68
0	3	3

Iter	Nodes	Cost
0	25	68
1	40	68
2	50	68
3	66	68
4	86	68
5	112	68
6	143	68
7	190	68
8	234	68
9	243	68
10	246	68
0	3	3

Iter	Nodes	Cost
0	25	68
1	40	68
2	50	68
3	66	68
4	86	68
5	112	68
6	143	68
7	190	68
8	234	68
9	243	68
10	246	68
0	3	3