Details

analyze208.0ms (1.8%)

Algorithm

1×

Search

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample2.5s (21.5%)

Results

2.5s	8256×	body	256	valid
1.0ms	5×	body	256	invalid

preprocess25.0ms (0.2%)

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)

simplify10.0ms (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)))

eval1.0ms (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)

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 27 computations (30.8% saved)

series12.0ms (0.1%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	inf	(*.f32 314159265359/50000000000 u2)
2.0ms	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)))

rewrite85.0ms (0.7%)

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	34
1	228	34
2	2842	34

Stop Event

1×	node limit

Counts

4 → 138

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))
(cos.f32 (*.f32 314159265359/50000000000 u2))

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

simplify132.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

770×	`associate-*r/_binary32`
514×	`associate-/l/_binary32`
415×	`fma-def_binary32`
389×	`unswap-sqr_binary32`
298×	`distribute-rgt-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	846
1	295	786
2	900	723
3	3237	621
4	7149	621

Stop Event

1×	node limit

Counts

174 → 180

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)))))
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 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))

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

eval96.0ms (0.8%)

Compiler: Compiled 3136 to 2467 computations (21.3% saved)

prune158.0ms (1.4%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	150	30	180
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	150	31	181

Error

0.0b

Counts

181 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	3.0b	(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
	2.7b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	4.8b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.3b	(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
	2.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	4.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1))
	8.7b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	14.0b	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	15.3b	(.f32 (sqrt.f32 (+.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))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	4.1b	(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	1.1b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.8b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
▶	7.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))
▶	1.5b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
	2.1b	(.f32 (sqrt.f32 (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)))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶	1.8b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))

Compiler

Compiled 1110 to 899 computations (19% saved)

localize97.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 56 to 33 computations (41.1% saved)

series5.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`log-prod_binary32`
401×	`pow-prod-down_binary32`
346×	`prod-diff_binary32`
326×	`pow2_binary32`
236×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	271	30
2	3335	30

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

Inputs

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

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

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

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

Outputs

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

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

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

764×	`associate-*r/_binary32`
644×	`distribute-lft-out_binary32`
528×	`distribute-rgt-out_binary32`
503×	`associate-/l/_binary32`
433×	`*-commutative_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	91	828
1	250	786
2	724	730
3	2742	628
4	6332	614

Stop Event

1×	node limit

Counts

106 → 100

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))))
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 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 -314159265359/50000000000 u2))

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

localize24.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series43.0ms (0.4%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
42.0ms	u1	@	0	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
1.0ms	u1	@	inf	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
1.0ms	u1	@	-inf	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`pow1_binary32`
646×	`add-log-exp_binary32`
646×	`log1p-expm1-u_binary32`
646×	`expm1-log1p-u_binary32`
632×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	129	9
2	1717	9

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

705×	`cancel-sign-sub-inv_binary32`
652×	`fma-neg_binary32`
580×	`associate-/r*_binary32`
579×	`times-frac_binary32`
543×	`unswap-sqr_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	216
1	127	207
2	349	190
3	1144	139
4	5961	137

Stop Event

1×	node limit

Counts

36 → 41

Calls

Call 1

Inputs
(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)))))

Outputs
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1)))
(-.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 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (fma.f32 (/.f32 -1/2 (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)) (sqrt.f32 -1)) (/.f32 -1/2 (.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (*.f32 (+.f32 (/.f32 3/4 u1) 1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))))
(-.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))))
(-.f32 (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 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 1/2 (.f32 (sqrt.f32 -1) u1)))
(+.f32 (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) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 -1/2 (.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)) (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)))) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1)) (.f32 (/.f32 (/.f32 -1/2 (.f32 u1 u1)) (sqrt.f32 -1)) (+.f32 3/4 (/.f32 5/8 u1)))))
(+.f32 (sqrt.f32 -1) (fma.f32 (/.f32 -1/2 (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (+.f32 3/4 (/.f32 5/8 u1)) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(*.f32 (+.f32 (/.f32 1/2 u1) 1) (sqrt.f32 -1))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(fma.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)) (sqrt.f32 -1))
(+.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)))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) (+.f32 1/2 (/.f32 5/16 (.f32 u1 u1))))))
(+.f32 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 5/16 (.f32 u1 u1)) (+.f32 1/2 (/.f32 3/8 u1)))))

localize60.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))
✓	0.3b	(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)
	0.3b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 54 to 40 computations (25.9% saved)

series8.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

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

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`log-prod_binary32`
336×	`pow-prod-down_binary32`
306×	`pow2_binary32`
271×	`prod-diff_binary32`
214×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	253	27
2	3072	27

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify105.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

622×	`associate-/l*_binary32`
550×	`times-frac_binary32`
522×	`associate-/r*_binary32`
489×	`fma-neg_binary32`
446×	`fma-def_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	716
1	199	676
2	616	623
3	2620	592

Stop Event

1×	node limit

Counts

83 → 86

Calls

Call 1

Inputs
1
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(+.f32 1 (+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (*.f32 -30764454194421890420260641868300348244775673572228308223720636257018912/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3)) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 4)))))
(.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))))
(.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))))
(/.f32 u1 (-.f32 1 u1))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))) (.f32 -30764454194421890420260641868300348244775673572228308223720636257018912/11250000000000000000000000000000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 6) u1) (-.f32 1 u1))))))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))

Outputs
1
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1)
(+.f32 1 (+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(+.f32 1 (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))
(+.f32 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1) (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(+.f32 1 (+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (*.f32 -30764454194421890420260641868300348244775673572228308223720636257018912/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
(+.f32 1 (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
(+.f32 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1) (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1)
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 u1 (*.f32 u1 u1)))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (fma.f32 u1 u1 u1))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))))
(fma.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 (.f32 u1 u1) (pow.f32 u1 3))))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 u1 (fma.f32 u1 u1 (pow.f32 u1 3))))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3)) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 4)))))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 u1 (.f32 u1 u1))) (.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (pow.f32 u1 3) (pow.f32 u1 4))))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 (+.f32 u1 (*.f32 u1 u1)) (+.f32 (pow.f32 u1 3) (pow.f32 u1 4))))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 (+.f32 (.f32 u1 u1) 1) (fma.f32 u1 u1 u1)))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (*.f32 (+.f32 1 u1) (+.f32 u1 (pow.f32 u1 3))))
(.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))
(neg.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(fma.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (neg.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))
(-.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 -1 (/.f32 -1 u1)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))))
(fma.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (.f32 -1 (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))))
(-.f32 (-.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1))) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
(-.f32 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (/.f32 -1 u1))) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))
(-.f32 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 -1 (/.f32 -1 u1))) u1) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))))
(fma.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (fma.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3)) (.f32 -1 (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))))
(-.f32 (-.f32 (-.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1))) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3))) (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) u1))
(-.f32 (-.f32 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (/.f32 -1 u1))) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3)))
(-.f32 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (.f32 u1 u1))))) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))
(.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))
(neg.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(fma.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (neg.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))
(-.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 -1 (/.f32 -1 u1)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))))
(fma.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (.f32 -1 (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))))
(-.f32 (-.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1))) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
(-.f32 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (/.f32 -1 u1))) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))
(-.f32 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 -1 (/.f32 -1 u1))) u1) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))))
(fma.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (fma.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3)) (.f32 -1 (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))))
(-.f32 (-.f32 (-.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1))) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3))) (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) u1))
(-.f32 (-.f32 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (/.f32 -1 u1))) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3)))
(-.f32 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (.f32 u1 u1))))) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))
(/.f32 u1 (-.f32 1 u1))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (*.f32 u2 u2) u1) (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) u1) (/.f32 u1 (-.f32 1 u1)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u1 (/.f32 (.f32 u2 u2) (-.f32 1 u1))) (/.f32 u1 (-.f32 1 u1)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u1 (.f32 (/.f32 u2 (-.f32 1 u1)) u2)) (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))))
(fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1)) (+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (.f32 u2 u2) u1) (-.f32 1 u1)))))
(fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (.f32 (/.f32 (pow.f32 u2 4) (-.f32 1 u1)) u1) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 (/.f32 (*.f32 u2 u2) (-.f32 1 u1)) u1) (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u1 (/.f32 (.f32 u2 u2) (-.f32 1 u1))) (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (+.f32 (/.f32 1 u1) -1)) (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u1 (.f32 (/.f32 u2 (-.f32 1 u1)) u2)) (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (/.f32 (-.f32 1 u1) u1)) (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))) (.f32 -30764454194421890420260641868300348244775673572228308223720636257018912/11250000000000000000000000000000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 6) u1) (-.f32 1 u1))))))
(fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1)) (+.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (.f32 u2 u2) u1) (-.f32 1 u1)) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 6) (/.f32 (-.f32 1 u1) u1))))))
(+.f32 (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (.f32 (/.f32 (pow.f32 u2 4) (-.f32 1 u1)) u1) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) u1) (/.f32 u1 (-.f32 1 u1)))) (/.f32 (.f32 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 u1) (pow.f32 u2 6)) (-.f32 1 u1)))
(fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (+.f32 (/.f32 1 u1) -1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u1 (/.f32 (.f32 u2 u2) (-.f32 1 u1))) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (*.f32 u1 (/.f32 (pow.f32 u2 6) (-.f32 1 u1))) (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (/.f32 (-.f32 1 u1) u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u1 (.f32 (/.f32 u2 (-.f32 1 u1)) u2)) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (*.f32 u1 (/.f32 (pow.f32 u2 6) (-.f32 1 u1))) (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))
(.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))
(.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))
(.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))
(.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))
(.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))
(.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))
(.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))
(.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)))

localize84.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
✓	0.2b	(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.3b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 52 to 38 computations (26.9% saved)

series3.0ms (0%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	u2	@	0	(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
0.0ms	u2	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`log-prod_binary32`
343×	`pow-prod-down_binary32`
306×	`pow2_binary32`
306×	`prod-diff_binary32`
214×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	248	23
2	3048	23

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))

Outputs

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

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

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

746×	`associate-*r/_binary32`
644×	`distribute-lft-out_binary32`
528×	`distribute-rgt-out_binary32`
504×	`associate-/l/_binary32`
418×	`*-commutative_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	85	744
1	241	702
2	711	646
3	2716	544
4	6277	530

Stop Event

1×	node limit

Counts

86 → 85

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 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(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 (+.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))))

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

localize73.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.6b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)
✓	2.1b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)

Compiler

Compiled 65 to 49 computations (24.6% saved)

series75.0ms (0.7%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
53.0ms	u1	@	0	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
15.0ms	u2	@	0	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	u1	@	inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)
1.0ms	u1	@	-inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`log-prod_binary32`
348×	`pow2_binary32`
271×	`prod-diff_binary32`
239×	`pow-unpow_binary32`
238×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	326	34
2	3577	34

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

Outputs

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

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-def_binary32`
460×	`fma-neg_binary32`
446×	`div-sub_binary32`
427×	`associate-/r*_binary32`
406×	`times-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1259
1	454	1167
2	1535	1111
3	6560	1111

Stop Event

1×	node limit

Counts

149 → 158

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)))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (.f32 -1 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (+.f32 (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))) (.f32 1/3 (/.f32 (-.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) (+.f32 10 (.f32 2 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3)))))))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (.f32 -1 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (+.f32 (.f32 -1/3 (/.f32 (-.f32 10 (+.f32 (.f32 -2 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3)))) (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))))
(pow.f32 u1 3)
(+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3))
(+.f32 (.f32 6 (pow.f32 u1 5)) (+.f32 (.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3)))
(+.f32 (.f32 10 (pow.f32 u1 6)) (+.f32 (.f32 6 (pow.f32 u1 5)) (+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3))))
-1
(neg.f32 (+.f32 1 (*.f32 3 (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (.f32 3 (/.f32 1 u1)))))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 10 (/.f32 1 (pow.f32 u1 3))) (*.f32 3 (/.f32 1 u1))))))
-1
(neg.f32 (+.f32 1 (*.f32 3 (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (.f32 3 (/.f32 1 u1)))))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 10 (/.f32 1 (pow.f32 u1 3))) (*.f32 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 (+.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 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))) (.f32 (pow.f32 -1 1/6) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))) (+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))) (.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))) (+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))) (+.f32 (.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))))))
(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))))

Outputs
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 u1 (fma.f32 u1 u1 (pow.f32 u1 3)))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.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))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))
(+.f32 (cbrt.f32 -1) (neg.f32 (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 1 u1))))
(-.f32 (cbrt.f32 -1) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (.f32 -1 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))))
(fma.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (cbrt.f32 -1) (neg.f32 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 1 u1)))))
(fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (-.f32 (cbrt.f32 -1) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1)))
(fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 u1 (.f32 u1 (pow.f32 (cbrt.f32 -1) 2)))) (-.f32 (cbrt.f32 -1) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1)))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (+.f32 (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))) (.f32 1/3 (/.f32 (-.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) (+.f32 10 (.f32 2 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3)))))))
(fma.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (cbrt.f32 -1) (fma.f32 -1 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 1 u1)) (.f32 1/3 (/.f32 (-.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) (+.f32 10 (.f32 2 (.f32 (+.f32 6 (.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))))))) (*.f32 (pow.f32 u1 3) (pow.f32 (cbrt.f32 -1) 2)))))))
(+.f32 (fma.f32 1/3 (/.f32 (-.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) (fma.f32 2 (.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) 10)) (.f32 (pow.f32 u1 3) (pow.f32 (cbrt.f32 -1) 2))) (/.f32 (neg.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))) u1)) (fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (cbrt.f32 -1)))
(fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 u1 (.f32 u1 (pow.f32 (cbrt.f32 -1) 2)))) (-.f32 (fma.f32 (/.f32 1/3 (pow.f32 (cbrt.f32 -1) 2)) (/.f32 (+.f32 (fma.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))) -2) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) -10) (pow.f32 u1 3)) (cbrt.f32 -1)) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1)))
(fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 u1 (.f32 u1 (pow.f32 (cbrt.f32 -1) 2)))) (-.f32 (fma.f32 (/.f32 1/3 (pow.f32 (cbrt.f32 -1) 2)) (/.f32 (+.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) (fma.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))) -2) -10)) (pow.f32 u1 3)) (cbrt.f32 -1)) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1)))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))
(+.f32 (cbrt.f32 -1) (neg.f32 (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 1 u1))))
(-.f32 (cbrt.f32 -1) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (.f32 -1 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))))
(fma.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (cbrt.f32 -1) (neg.f32 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 1 u1)))))
(fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (-.f32 (cbrt.f32 -1) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1)))
(fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 u1 (.f32 u1 (pow.f32 (cbrt.f32 -1) 2)))) (-.f32 (cbrt.f32 -1) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1)))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (+.f32 (.f32 -1/3 (/.f32 (-.f32 10 (+.f32 (.f32 -2 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3)))) (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))))
(fma.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (cbrt.f32 -1) (fma.f32 -1/3 (/.f32 (-.f32 10 (fma.f32 -2 (.f32 (+.f32 6 (.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))) (.f32 (pow.f32 u1 3) (pow.f32 (cbrt.f32 -1) 2))) (neg.f32 (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 1 u1))))))
(+.f32 (fma.f32 -1/3 (/.f32 (-.f32 10 (fma.f32 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))) -2) (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))) (.f32 (pow.f32 u1 3) (pow.f32 (cbrt.f32 -1) 2))) (/.f32 (neg.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))) u1)) (fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (cbrt.f32 -1)))
(fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 u1 (.f32 u1 (pow.f32 (cbrt.f32 -1) 2)))) (fma.f32 (/.f32 -1/3 (pow.f32 (cbrt.f32 -1) 2)) (/.f32 (+.f32 (fma.f32 2 (*.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) 10) (/.f32 -1 (pow.f32 (cbrt.f32 -1) 2))) (pow.f32 u1 3)) (-.f32 (cbrt.f32 -1) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1))))
(fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 u1 (.f32 u1 (pow.f32 (cbrt.f32 -1) 2)))) (fma.f32 (/.f32 -1/3 (pow.f32 (cbrt.f32 -1) 2)) (/.f32 (+.f32 10 (fma.f32 2 (*.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) (/.f32 -1 (pow.f32 (cbrt.f32 -1) 2)))) (pow.f32 u1 3)) (-.f32 (cbrt.f32 -1) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1))))
(pow.f32 u1 3)
(+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3))
(fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3))
(+.f32 (.f32 6 (pow.f32 u1 5)) (+.f32 (.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3)))
(fma.f32 6 (pow.f32 u1 5) (fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3)))
(fma.f32 3 (pow.f32 u1 4) (fma.f32 6 (pow.f32 u1 5) (pow.f32 u1 3)))
(+.f32 (.f32 10 (pow.f32 u1 6)) (+.f32 (.f32 6 (pow.f32 u1 5)) (+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3))))
(fma.f32 10 (pow.f32 u1 6) (fma.f32 6 (pow.f32 u1 5) (fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3))))
(fma.f32 10 (pow.f32 u1 6) (fma.f32 3 (pow.f32 u1 4) (fma.f32 6 (pow.f32 u1 5) (pow.f32 u1 3))))
-1
(neg.f32 (+.f32 1 (*.f32 3 (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (/.f32 3 u1)))
(+.f32 -1 (/.f32 -3 u1))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (.f32 3 (/.f32 1 u1)))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1))))
(+.f32 (+.f32 -1 (/.f32 -3 u1)) (/.f32 -6 (*.f32 u1 u1)))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 10 (/.f32 1 (pow.f32 u1 3))) (*.f32 3 (/.f32 1 u1))))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 6 (*.f32 u1 u1)) (+.f32 (/.f32 3 u1) (/.f32 10 (pow.f32 u1 3))))))
(-.f32 -1 (+.f32 (/.f32 3 u1) (+.f32 (/.f32 6 (*.f32 u1 u1)) (/.f32 10 (pow.f32 u1 3)))))
(+.f32 -1 (-.f32 (+.f32 (/.f32 -3 u1) (/.f32 -6 (*.f32 u1 u1))) (/.f32 10 (pow.f32 u1 3))))
-1
(neg.f32 (+.f32 1 (*.f32 3 (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (/.f32 3 u1)))
(+.f32 -1 (/.f32 -3 u1))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (.f32 3 (/.f32 1 u1)))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1))))
(+.f32 (+.f32 -1 (/.f32 -3 u1)) (/.f32 -6 (*.f32 u1 u1)))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 10 (/.f32 1 (pow.f32 u1 3))) (*.f32 3 (/.f32 1 u1))))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 6 (*.f32 u1 u1)) (+.f32 (/.f32 3 u1) (/.f32 10 (pow.f32 u1 3))))))
(-.f32 -1 (+.f32 (/.f32 3 u1) (+.f32 (/.f32 6 (*.f32 u1 u1)) (/.f32 10 (pow.f32 u1 3)))))
(+.f32 -1 (-.f32 (+.f32 (/.f32 -3 u1) (/.f32 -6 (*.f32 u1 u1))) (/.f32 10 (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 (.f32 u1 (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)))))
(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 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1))) (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 (/.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 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1))) (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 u1 (.f32 u1 (sqrt.f32 -1))))) (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 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/6))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))) (.f32 (pow.f32 -1 1/6) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/6)))
(fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/6) (.f32 1/2 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 u1 (pow.f32 -1 1/6)))))
(.f32 (pow.f32 -1 1/6) (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1/2) u1)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))) (+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))) (.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (fma.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/6))))
(fma.f32 1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 u1 (pow.f32 -1 1/6))) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/6) (.f32 3/8 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 u1 u1) (pow.f32 -1 1/6))))))
(fma.f32 1/2 (.f32 (/.f32 (pow.f32 -1 1/6) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (pow.f32 -1 1/6) (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 3/8 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))) (+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))) (+.f32 (.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))))))
(fma.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (fma.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))))))
(fma.f32 1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 u1 (pow.f32 -1 1/6))) (fma.f32 3/8 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 u1 u1) (pow.f32 -1 1/6))) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/6) (.f32 5/16 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (pow.f32 u1 3) (pow.f32 -1 1/6)))))))
(+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1/2) u1))) (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 3/8 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (.f32 5/16 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))))))
(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 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 (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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1)))
(.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))))

eval546.0ms (4.7%)

Compiler: Compiled 15016 to 11802 computations (21.4% saved)

prune187.0ms (1.6%)

Pruning

43 alts after pruning (39 fresh and 4 done)

	Pruned	Kept	Total
New	794	36	830
Fresh	22	3	25
Picked	0	1	1
Done	2	3	5
Total	818	43	861

Error

0.0b

Counts

861 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 3))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 1))
▶	0.4b	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
	7.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	7.2b	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	1.9b	(sqrt.f32 (.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	7.2b	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	14.0b	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.7b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	13.9b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
▶	0.8b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)
	15.3b	(.f32 (sqrt.f32 (+.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))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.1b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	7.1b	(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
	1.8b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 314159265359/50000000000 u2)))))))
▶	7.6b	(sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))
	7.2b	(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (-.f32 (pow.f32 (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 2) 1) (+.f32 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1) 1)))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
	1.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
	0.4b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	12.4b	(sqrt.f32 u1)
	6.1b	(.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3)) 1/3)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶	7.1b	(sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1))
	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
	7.7b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
	1.8b	(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
✓	7.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	8.7b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.1b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	6.3b	(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))) 1)
	1.1b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	9.7b	(sqrt.f32 (fma.f32 u1 u1 u1))
✓	1.5b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	10.8b	(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
	7.2b	(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	16.1b	(sqrt.f32 (.f32 (+.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)))))) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
	5.2b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)))
	8.7b	(.f32 (sqrt.f32 u1) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 1312 to 1074 computations (18.1% saved)

localize68.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))
✓	0.2b	(log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))
✓	0.2b	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
✓	0.3b	(*.f32 u2 314159265359/50000000000)

Compiler

Compiled 64 to 46 computations (28.1% saved)

series84.0ms (0.7%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
48.0ms	u2	@	-inf	(log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))
19.0ms	u2	@	inf	(log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))
4.0ms	u2	@	0	(log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))
2.0ms	u1	@	0	(log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))
2.0ms	u1	@	inf	(log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))

rewrite131.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`log-prod_binary32`
466×	`prod-diff_binary32`
343×	`pow-prod-down_binary32`
306×	`pow2_binary32`
214×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	247	57
2	3047	57

Stop Event

1×	node limit

Counts

4 → 103

Calls

Call 1

Inputs
(*.f32 u2 314159265359/50000000000)
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))

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

simplify153.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

830×	`associate-/r*_binary32`
817×	`fma-def_binary32`
790×	`associate-r_binary32`
699×	`associate-l_binary32`
424×	`associate-*l/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2794
1	585	2594
2	2196	2448

Stop Event

1×	node limit

Counts

175 → 125

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))))
(log.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (log.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) u1)))))
(+.f32 (log.f32 (+.f32 1 (.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) (.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) u1)))) (.f32 1/2 (/.f32 (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)))) (.f32 -1 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))))) (pow.f32 u1 2)))))
(+.f32 (log.f32 (+.f32 1 (.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) (.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) u1)))) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -3/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)))) (+.f32 (.f32 -3 (/.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) (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))) (.f32 -1/4 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)))))) (pow.f32 u1 3))) (.f32 1/2 (/.f32 (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)))) (.f32 -1 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (pow.f32 u1 2))))))
(log.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (log.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) u1))))
(+.f32 (log.f32 (+.f32 1 (.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))) (.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) u1))) (.f32 1/2 (/.f32 (+.f32 (.f32 -1/4 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (pow.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2))) (.f32 3/4 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (pow.f32 u1 2)))))
(+.f32 (log.f32 (+.f32 1 (.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))) (.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) u1))) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -1/4 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (pow.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2))) (.f32 3/4 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))) (pow.f32 u1 2))) (.f32 -1/6 (/.f32 (+.f32 (.f32 -15/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))) (+.f32 (.f32 9/8 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (pow.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2))) (.f32 -1/4 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)) (pow.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3))))) (pow.f32 u1 3))))))
(log.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (/.f32 (pow.f32 u2 2) (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (/.f32 (pow.f32 u2 2) (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (log.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (.f32 -29222727310208424257453048652257345519340156483/6250000000000000000000000000000000000000000 (/.f32 u1 (.f32 (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2) (-.f32 1 u1)))))))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (/.f32 (pow.f32 u2 2) (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (log.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (.f32 -29222727310208424257453048652257345519340156483/6250000000000000000000000000000000000000000 (/.f32 u1 (.f32 (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2) (-.f32 1 u1))))))) (.f32 1/720 (.f32 (+.f32 (.f32 -2884167580727052226899435175153157647947719397396403895973809649095523/1562500000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (/.f32 1 (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)))) (+.f32 (.f32 2884167580727052226899435175153157647947719397396403895973809649095523/3125000000000000000000000000000000000000000000000000000000000000 (/.f32 u1 (.f32 (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2) (-.f32 1 u1)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/15625000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (pow.f32 u2 6))))))
(log.f32 (+.f32 1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log.f32 (+.f32 1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log.f32 (+.f32 1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log.f32 (+.f32 1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log.f32 (+.f32 1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log.f32 (+.f32 1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log.f32 (+.f32 1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log.f32 (+.f32 1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.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 (+.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))))

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 (.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)))))
(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 -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 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 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)) (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)) (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 (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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (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 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 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 (/.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) 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 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1) (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 3/8 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 -1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 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 314159265359/50000000000 u2))) u1) (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 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) 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)))))))
(fma.f32 1/2 (.f32 (sqrt.f32 -1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.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 (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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1)))
(.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))))
(log.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) u1)))))
(+.f32 (log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1))))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (+.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1)))) (log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1 (sqrt.f32 -1))) (log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (log.f32 (+.f32 1 (.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) (.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) u1)))) (.f32 1/2 (/.f32 (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)))) (.f32 -1 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))))) (pow.f32 u1 2)))))
(+.f32 (log1p.f32 (.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) (.f32 u1 (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)))) (.f32 1/2 (/.f32 (fma.f32 -1/4 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) 2))) (neg.f32 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1))))) (*.f32 u1 u1)))))
(+.f32 (log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (+.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1)))) (.f32 1/2 (/.f32 (-.f32 (.f32 1/4 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 2))) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (+.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1)) (cos.f32 (.f32 314159265359/50000000000 u2))))) (.f32 u1 u1)))))
(fma.f32 (/.f32 1/2 u1) (/.f32 (fma.f32 1/4 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 2)) (.f32 (/.f32 (+.f32 -1 (neg.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1 (sqrt.f32 -1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) u1) (fma.f32 -1/2 (/.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1 (sqrt.f32 -1))) (log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (log.f32 (+.f32 1 (.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) (.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) u1)))) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -3/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)))) (+.f32 (.f32 -3 (/.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) (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))) (.f32 -1/4 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)))))) (pow.f32 u1 3))) (.f32 1/2 (/.f32 (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)))) (.f32 -1 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (pow.f32 u1 2))))))
(+.f32 (log1p.f32 (.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) (.f32 u1 (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)))) (fma.f32 1/6 (/.f32 (fma.f32 -3/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) 2))) (fma.f32 -3 (.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) (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1))) (.f32 -1/4 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) 3)))))) (pow.f32 u1 3)) (.f32 1/2 (/.f32 (fma.f32 -1/4 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) 2))) (neg.f32 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1))))) (*.f32 u1 u1))))))
(+.f32 (log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (+.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1)))) (fma.f32 1/2 (/.f32 (-.f32 (.f32 1/4 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 2))) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (+.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1)) (cos.f32 (.f32 314159265359/50000000000 u2))))) (.f32 u1 u1)) (.f32 1/6 (/.f32 (+.f32 (.f32 3/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (pow.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 2))) (fma.f32 -1/4 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) (.f32 -1 (pow.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 3)))) (.f32 -3 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1))) (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 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1 (sqrt.f32 -1))) (log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))) (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 2)) (.f32 (/.f32 (+.f32 -1 (neg.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1 (sqrt.f32 -1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 u1 u1)) (.f32 (/.f32 1/6 (pow.f32 u1 3)) (fma.f32 3/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (pow.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 2)) (fma.f32 -1/4 (/.f32 (pow.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) 3) (pow.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 3)) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1 (sqrt.f32 -1))) (.f32 (+.f32 1 (+.f32 -1/2 (*.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2))) -3)))))))
(log.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) u1))))
(+.f32 (log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 (.f32 1/2 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 u1 (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (.f32 (/.f32 (/.f32 (sqrt.f32 -1) u1) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (log.f32 (+.f32 1 (.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))) (.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) u1))) (.f32 1/2 (/.f32 (+.f32 (.f32 -1/4 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (pow.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2))) (.f32 3/4 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (pow.f32 u1 2)))))
(+.f32 (log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 1/2 (+.f32 (.f32 (/.f32 (sqrt.f32 -1) (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (/.f32 (fma.f32 -1/4 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (pow.f32 (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) 2)) (.f32 3/4 (/.f32 (sqrt.f32 -1) (/.f32 (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2)))))) (.f32 u1 u1)))))
(fma.f32 1/2 (fma.f32 (/.f32 (sqrt.f32 -1) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (fma.f32 3/4 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1)) (/.f32 (.f32 1/4 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (pow.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 2))) (.f32 u1 u1))) (log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (fma.f32 (/.f32 (sqrt.f32 -1) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (fma.f32 3/4 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1)) (.f32 1/4 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 2)))) (.f32 u1 u1))) (log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (log.f32 (+.f32 1 (.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))) (.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) u1))) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -1/4 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (pow.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2))) (.f32 3/4 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))) (pow.f32 u1 2))) (.f32 -1/6 (/.f32 (+.f32 (.f32 -15/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))) (+.f32 (.f32 9/8 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (pow.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2))) (.f32 -1/4 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)) (pow.f32 (+.f32 1 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3))))) (pow.f32 u1 3))))))
(+.f32 (log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (fma.f32 1/2 (/.f32 (fma.f32 -1/4 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (pow.f32 (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) 2)) (.f32 3/4 (/.f32 (sqrt.f32 -1) (/.f32 (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2)))))) (.f32 u1 u1)) (.f32 -1/6 (/.f32 (fma.f32 -15/8 (/.f32 (sqrt.f32 -1) (/.f32 (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 9/8 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (pow.f32 (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) 2)) (.f32 -1/4 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (sqrt.f32 -1) 3)) (pow.f32 (+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) 3))))) (pow.f32 u1 3))))))
(+.f32 (log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 1/2 (fma.f32 (/.f32 (sqrt.f32 -1) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (fma.f32 3/4 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1)) (/.f32 (.f32 1/4 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (pow.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 2))) (.f32 u1 u1))) (.f32 -1/6 (/.f32 (fma.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1)) -15/8 (fma.f32 -1/4 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) -1)) (pow.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 3)) (/.f32 (.f32 -9/8 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (pow.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 2)))) (pow.f32 u1 3)))))
(fma.f32 1/2 (fma.f32 (/.f32 (sqrt.f32 -1) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (fma.f32 3/4 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1)) (.f32 1/4 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 2)))) (.f32 u1 u1))) (fma.f32 -1/6 (/.f32 (+.f32 (/.f32 1/4 (/.f32 (pow.f32 (/.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) (sqrt.f32 -1))) (fma.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1)) -15/8 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) -9/8) (pow.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 2)))) (pow.f32 u1 3)) (log1p.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(log.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (/.f32 (pow.f32 u2 2) (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (.f32 u2 u2) (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -98696044010906577398881/5000000000000000000000 (/.f32 (.f32 u2 u2) (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (/.f32 (pow.f32 u2 2) (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (log.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (.f32 -29222727310208424257453048652257345519340156483/6250000000000000000000000000000000000000000 (/.f32 u1 (.f32 (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2) (-.f32 1 u1)))))))))
(+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (.f32 u2 u2) (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (.f32 -29222727310208424257453048652257345519340156483/6250000000000000000000000000000000000000000 (/.f32 u1 (*.f32 (-.f32 1 u1) (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (.f32 u2 u2) (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -29222727310208424257453048652257345519340156483/6250000000000000000000000000000000000000000 (/.f32 u1 (*.f32 (-.f32 1 u1) (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)))))) (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 (pow.f32 u2 4) (.f32 (fma.f32 -29222727310208424257453048652257345519340156483/6250000000000000000000000000000000000000000 (/.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) 1/24) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -98696044010906577398881/5000000000000000000000 (/.f32 (.f32 u2 u2) (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (/.f32 (pow.f32 u2 2) (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (log.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (.f32 -29222727310208424257453048652257345519340156483/6250000000000000000000000000000000000000000 (/.f32 u1 (.f32 (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2) (-.f32 1 u1))))))) (.f32 1/720 (.f32 (+.f32 (.f32 -2884167580727052226899435175153157647947719397396403895973809649095523/1562500000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (/.f32 1 (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)))) (+.f32 (.f32 2884167580727052226899435175153157647947719397396403895973809649095523/3125000000000000000000000000000000000000000000000000000000000000 (/.f32 u1 (.f32 (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2) (-.f32 1 u1)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/15625000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (pow.f32 u2 6))))))
(+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (.f32 u2 u2) (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (.f32 -29222727310208424257453048652257345519340156483/6250000000000000000000000000000000000000000 (/.f32 u1 (.f32 (-.f32 1 u1) (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)))))) (.f32 1/720 (.f32 (pow.f32 u2 6) (fma.f32 -2884167580727052226899435175153157647947719397396403895973809649095523/1562500000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (/.f32 1 (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))) (fma.f32 2884167580727052226899435175153157647947719397396403895973809649095523/3125000000000000000000000000000000000000000000000000000000000000 (/.f32 u1 (.f32 (-.f32 1 u1) (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))) (.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/15625000000000000000000000000000000000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 1 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))))))
(+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (.f32 u2 u2) (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -29222727310208424257453048652257345519340156483/6250000000000000000000000000000000000000000 (/.f32 u1 (.f32 (-.f32 1 u1) (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)))))) (.f32 1/720 (.f32 (pow.f32 u2 6) (fma.f32 -2884167580727052226899435175153157647947719397396403895973809649095523/1562500000000000000000000000000000000000000000000000000000000000 (/.f32 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)) (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) -961389193575684075633145058384385882649239799132134631991269883031841/15625000000000000000000000000000000000000000000000000000000000000 (/.f32 (/.f32 (.f32 u1 2884167580727052226899435175153157647947719397396403895973809649095523/3125000000000000000000000000000000000000000000000000000000000000) (-.f32 1 u1)) (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))))))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -98696044010906577398881/5000000000000000000000 (/.f32 (.f32 u2 u2) (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (fma.f32 (pow.f32 u2 4) (.f32 (fma.f32 -29222727310208424257453048652257345519340156483/6250000000000000000000000000000000000000000 (/.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) 1/24) (fma.f32 (pow.f32 u2 6) (.f32 1/720 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -961389193575684075633145058384385882649239799132134631991269883031841/15625000000000000000000000000000000000000000000000000000000000000 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (fma.f32 (/.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) 2884167580727052226899435175153157647947719397396403895973809649095523/3125000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (/.f32 -2884167580727052226899435175153157647947719397396403895973809649095523/1562500000000000000000000000000000000000000000000000000000000000 (pow.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)))))) (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(log.f32 (+.f32 1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.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))))
(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 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)))))
(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 -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 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 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)) (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)) (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 (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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (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 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) 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 (/.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) 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 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1) (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 3/8 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 -1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 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 314159265359/50000000000 u2))) u1) (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 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) 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)))))))
(fma.f32 1/2 (.f32 (sqrt.f32 -1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.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 (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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1)))
(.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))))

localize9.0ms (0.1%)

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

localize34.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(-.f32 (/.f32 1 u1) 1)
✓	0.1b	(sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1))
✓	0.3b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series4.0ms (0%)

Counts

3 → 23

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	-inf	(sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1))
0.0ms	u1	@	0	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1)
0.0ms	u1	@	0	(sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1))
0.0ms	u1	@	-inf	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1)
0.0ms	u1	@	inf	(sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1))

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

739×	`pow1_binary32`
694×	`add-log-exp_binary32`
691×	`log1p-expm1-u_binary32`
691×	`expm1-log1p-u_binary32`
677×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	169	27
2	2014	27

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1)
(sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1))
(-.f32 (/.f32 1 u1) 1)

Outputs

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

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

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

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

826×	`fma-def_binary32`
764×	`associate-/l*_binary32`
510×	`associate-l_binary32`
447×	`associate-/l/_binary32`
377×	`associate-*l/_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	426
1	202	398
2	636	377
3	2311	285

Stop Event

1×	node limit

Counts

104 → 105

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)))))
(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 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (sqrt.f32 -1) (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (.f32 -1/2 (/.f32 (-.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 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(/.f32 1 u1)
-1
-1

Outputs
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 (*.f32 u1 u1) (pow.f32 u1 3)) u1)
(+.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1)))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.f32 (+.f32 u1 (*.f32 u1 (fma.f32 u1 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)))
(+.f32 -1 (+.f32 (/.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)))))
(neg.f32 (+.f32 (+.f32 1 (/.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 (-.f32 -1 (/.f32 1 u1)) (/.f32 -1 (*.f32 u1 u1))) (/.f32 1 (pow.f32 u1 3)))
(+.f32 -1 (+.f32 (+.f32 (/.f32 -1 u1) (/.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)))
(+.f32 -1 (+.f32 (/.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)))))
(neg.f32 (+.f32 (+.f32 1 (/.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 (-.f32 -1 (/.f32 1 u1)) (/.f32 -1 (*.f32 u1 u1))) (/.f32 1 (pow.f32 u1 3)))
(+.f32 -1 (+.f32 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))) (/.f32 -1 (pow.f32 u1 3))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1))))
(-.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))
(-.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 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (.f32 u1 u1) (sqrt.f32 -1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (.f32 (+.f32 (/.f32 3/4 u1) 1) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1)))))
(-.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))))
(-.f32 (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 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (.f32 u1 u1) (sqrt.f32 -1))) (sqrt.f32 -1))) (/.f32 1/2 (.f32 u1 (sqrt.f32 -1))))
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1))) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)) (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)))) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 -5/16 (.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (.f32 (+.f32 (/.f32 3/4 u1) 1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1))))
(-.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))
(-.f32 (+.f32 (sqrt.f32 -1) (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (.f32 u1 u1) (sqrt.f32 -1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (.f32 (+.f32 (/.f32 3/4 u1) 1) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1)))))
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (.f32 -1/2 (/.f32 (-.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 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (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 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (.f32 u1 u1) (sqrt.f32 -1))) (sqrt.f32 -1))) (/.f32 1/2 (.f32 u1 (sqrt.f32 -1))))
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1))) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)) (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)))) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 -5/16 (.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (.f32 (+.f32 (/.f32 3/4 u1) 1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))))
(/.f32 1 u1)
-1
-1

localize67.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(log.f32 (/.f32 u1 (-.f32 1 u1)))
✓	0.1b	(sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))
	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	1.6b	(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))

Compiler

Compiled 34 to 24 computations (29.4% saved)

series4.0ms (0%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))
0.0ms	u1	@	0	(log.f32 (/.f32 u1 (-.f32 1 u1)))
0.0ms	u1	@	inf	(log.f32 (/.f32 u1 (-.f32 1 u1)))
0.0ms	u1	@	0	(sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))
0.0ms	u1	@	inf	(sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`pow1_binary32`
710×	`add-log-exp_binary32`
710×	`log1p-expm1-u_binary32`
710×	`expm1-log1p-u_binary32`
694×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	153	25
2	1895	25

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

Inputs
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (/.f32 u1 (-.f32 1 u1)))

Outputs

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

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

850×	`fma-neg_binary32`
652×	`associate-/r*_binary32`
595×	`times-frac_binary32`
420×	`associate-/l*_binary32`
362×	`associate-l_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	79	522
1	227	495
2	665	471
3	1986	422
4	7549	420

Stop Event

1×	node limit

Counts

134 → 143

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

Outputs
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 (*.f32 u1 u1) (pow.f32 u1 3)) u1)
(+.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1)))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.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))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 1))
-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 (-.f32 -1 (/.f32 1 u1)) (/.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 (-.f32 -1 (/.f32 1 u1)) (/.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))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1))))
(-.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))
(-.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 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (.f32 u1 u1) (sqrt.f32 -1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (.f32 (+.f32 (/.f32 3/4 u1) 1) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1)))))
(-.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))))
(-.f32 (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 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (.f32 u1 u1) (sqrt.f32 -1))) (sqrt.f32 -1))) (/.f32 1/2 (.f32 u1 (sqrt.f32 -1))))
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1))) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (-.f32 (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)) (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)))) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1)))) (.f32 (/.f32 -1/2 (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (+.f32 3/4 (/.f32 5/8 u1))))
(+.f32 (sqrt.f32 -1) (fma.f32 (/.f32 -1/2 (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (+.f32 3/4 (/.f32 5/8 u1)) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 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)))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) (+.f32 1/2 (/.f32 5/16 (.f32 u1 u1))))))
(log.f32 u1)
(+.f32 (log.f32 u1) u1)
(+.f32 u1 (log.f32 u1))
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (log.f32 u1) u1))
(fma.f32 1/2 (*.f32 u1 u1) (+.f32 u1 (log.f32 u1)))
(+.f32 u1 (fma.f32 (*.f32 u1 u1) 1/2 (log.f32 u1)))
(+.f32 u1 (fma.f32 u1 (*.f32 u1 1/2) (log.f32 u1)))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (+.f32 (log.f32 u1) (+.f32 (.f32 1/3 (pow.f32 u1 3)) u1)))
(fma.f32 1/2 (*.f32 u1 u1) (+.f32 (log.f32 u1) (fma.f32 1/3 (pow.f32 u1 3) u1)))
(+.f32 (fma.f32 (pow.f32 u1 3) 1/3 u1) (fma.f32 (*.f32 u1 u1) 1/2 (log.f32 u1)))
(+.f32 (fma.f32 (pow.f32 u1 3) 1/3 u1) (fma.f32 u1 (*.f32 u1 1/2) (log.f32 u1)))
(+.f32 (log.f32 u1) (fma.f32 u1 (*.f32 u1 1/2) (fma.f32 (pow.f32 u1 3) 1/3 u1)))
(log.f32 -1)
(+.f32 (log.f32 -1) (/.f32 1 u1))
(+.f32 (/.f32 1 u1) (log.f32 -1))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (log.f32 -1) (/.f32 1 u1)))
(+.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (log.f32 -1) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (/.f32 1 u1) (+.f32 (log.f32 -1) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (log.f32 -1) (/.f32 1 u1))))
(+.f32 (+.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))
(+.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (+.f32 (/.f32 1/2 (*.f32 u1 u1)) (/.f32 1/3 (pow.f32 u1 3))))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1/2 (*.f32 u1 u1)) (/.f32 1/3 (pow.f32 u1 3)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (/.f32 1 u1))
(+.f32 (/.f32 1 u1) (log.f32 -1))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (log.f32 -1) (/.f32 1 u1)))
(+.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (log.f32 -1) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (/.f32 1 u1) (+.f32 (log.f32 -1) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (log.f32 -1) (/.f32 1 u1))))
(+.f32 (+.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))
(+.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (+.f32 (/.f32 1/2 (*.f32 u1 u1)) (/.f32 1/3 (pow.f32 u1 3))))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1/2 (*.f32 u1 u1)) (/.f32 1/3 (pow.f32 u1 3)))))

localize119.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f32 u1 (-.f32 1 u1))
	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))
	0.3b	(*.f32 u2 314159265359/50000000000)
✓	0.7b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)

Compiler

Compiled 66 to 48 computations (27.3% saved)

series65.0ms (0.6%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	u2	@	inf	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)
7.0ms	u2	@	0	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)
5.0ms	u2	@	-inf	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)
5.0ms	u1	@	0	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)
5.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

609×	`log-prod_binary32`
385×	`pow-prod-down_binary32`
327×	`pow2_binary32`
271×	`prod-diff_binary32`
226×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	296	17
2	3341	17

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify159.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

885×	`times-frac_binary32`
441×	`fma-neg_binary32`
409×	`+-commutative_binary32`
360×	`associate-/l*_binary32`
352×	`associate-/r*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	1542
1	736	1379
2	2774	1252
3	7763	1252

Stop Event

1×	node limit

Counts

60 → 66

Calls

Call 1

Inputs
(.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
(+.f32 (.f32 (+.f32 (.f32 1/6 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (.f32 1/3 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))) u1) (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))
(+.f32 (.f32 (+.f32 (.f32 1/18 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (+.f32 (.f32 7/72 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (.f32 (sqrt.f32 1) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1/3) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1/3))) (pow.f32 u1 1/6)))))) (pow.f32 u1 2)) (+.f32 (.f32 (+.f32 (.f32 1/6 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (.f32 1/3 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))) u1) (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))
(+.f32 (.f32 (+.f32 (.f32 1/18 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (+.f32 (.f32 7/72 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (.f32 (sqrt.f32 1) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1/3) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1/3))) (pow.f32 u1 1/6)))))) (pow.f32 u1 2)) (+.f32 (.f32 (+.f32 (.f32 1/6 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (.f32 1/3 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))) u1) (+.f32 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (.f32 (+.f32 (.f32 (sqrt.f32 1) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1/3) (.f32 (pow.f32 u1 1/6) (+.f32 (.f32 7/216 (pow.f32 (.f32 1 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1/3)) (.f32 91/648 (pow.f32 (.f32 1 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1/3)))))) (+.f32 (.f32 7/216 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (+.f32 (.f32 1/6 (.f32 (sqrt.f32 1) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1/3) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1/3))) (pow.f32 u1 1/6))))) (.f32 91/1296 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))))) (pow.f32 u1 3)))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))
(+.f32 (.f32 1/6 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1))) (+.f32 (.f32 1/3 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))))
(+.f32 (.f32 1/18 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (.f32 (pow.f32 -1 1/6) (.f32 (pow.f32 (.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) 1/3) (/.f32 (+.f32 (.f32 7/36 (pow.f32 (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/3)) (.f32 1/36 (pow.f32 (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/3))) (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1))) (+.f32 (.f32 7/72 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (.f32 1/3 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))))))
(+.f32 (.f32 1/18 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1))) (+.f32 (.f32 1/3 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1))) (+.f32 (.f32 91/1296 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (.f32 (pow.f32 (.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) 1/3) (/.f32 (+.f32 (.f32 7/36 (pow.f32 (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/3)) (.f32 1/36 (pow.f32 (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/3))) (pow.f32 u1 3))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)) (+.f32 (.f32 7/216 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3)))) (+.f32 (.f32 (pow.f32 -1 1/6) (.f32 (pow.f32 (.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) 1/3) (/.f32 (+.f32 (.f32 7/36 (pow.f32 (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/3)) (.f32 1/36 (pow.f32 (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/3))) (pow.f32 u1 2)))) (+.f32 (.f32 7/72 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (.f32 (/.f32 (+.f32 (.f32 91/648 (pow.f32 (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/3)) (.f32 7/216 (pow.f32 (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/3))) (pow.f32 u1 3)) (.f32 (pow.f32 -1 1/6) (pow.f32 (.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) 1/3))))))))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (.f32 -1/3 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))) u1)) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))
(+.f32 (.f32 1/18 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (.f32 -1/3 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))) u1)) (+.f32 (.f32 7/72 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 7/36 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 1/3)) (.f32 1/36 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 1/3))) (pow.f32 u1 2)) (pow.f32 (.f32 (sqrt.f32 -1) (.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1/3)) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))))))
(+.f32 (.f32 1/18 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (.f32 -1/3 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))) u1)) (+.f32 (.f32 7/72 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 (+.f32 (.f32 -91/648 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 1/3)) (.f32 -7/216 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 1/3))) (pow.f32 (.f32 (sqrt.f32 -1) (.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1/3)) (+.f32 (.f32 -91/1296 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (+.f32 (.f32 -7/216 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (.f32 -1/6 (.f32 (+.f32 (.f32 7/36 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 1/3)) (.f32 1/36 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 1/3))) (pow.f32 (.f32 (sqrt.f32 -1) (.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1/3)))))) (pow.f32 u1 3))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 7/36 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 1/3)) (.f32 1/36 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 1/3))) (pow.f32 u1 2)) (pow.f32 (.f32 (sqrt.f32 -1) (.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1/3)) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (pow.f32 u2 2) (+.f32 (.f32 -98696044010906577398881/15000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -98696044010906577398881/7500000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/6) (+.f32 (.f32 -9740909103402808085817682884085781839780052161/225000000000000000000000000000000000000000000 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/3)) (.f32 9740909103402808085817682884085781839780052161/225000000000000000000000000000000000000000000 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/3)))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/112500000000000000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (.f32 (pow.f32 u2 2) (+.f32 (.f32 -98696044010906577398881/15000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -98696044010906577398881/7500000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 -98696044010906577398881/15000000000000000000000 (.f32 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/6) (+.f32 (.f32 -9740909103402808085817682884085781839780052161/225000000000000000000000000000000000000000000 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/3)) (.f32 9740909103402808085817682884085781839780052161/225000000000000000000000000000000000000000000 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/3))))) (+.f32 (.f32 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/6) (+.f32 (.f32 -22111951452240733739562336342840875300932515380039096535799207309732343/50625000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/3)) (.f32 961389193575684075633145058384385882649239799132134631991269883031841/3375000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/3)))) (+.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/3375000000000000000000000000000000000000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -22111951452240733739562336342840875300932515380039096535799207309732343/101250000000000000000000000000000000000000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/6) (+.f32 (.f32 -9740909103402808085817682884085781839780052161/225000000000000000000000000000000000000000000 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/3)) (.f32 9740909103402808085817682884085781839780052161/225000000000000000000000000000000000000000000 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/3)))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/112500000000000000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (.f32 (pow.f32 u2 2) (+.f32 (.f32 -98696044010906577398881/15000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -98696044010906577398881/7500000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))
(.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

Outputs
(.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(+.f32 (.f32 (+.f32 (.f32 1/6 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (.f32 1/3 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))) u1) (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))
(fma.f32 (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1/2) u1 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
(fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1) (.f32 u1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 u1) 1/2))))
(.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (+.f32 1 (.f32 1/2 u1)))
(+.f32 (.f32 (+.f32 (.f32 1/18 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (+.f32 (.f32 7/72 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (.f32 (sqrt.f32 1) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1/3) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1/3))) (pow.f32 u1 1/6)))))) (pow.f32 u1 2)) (+.f32 (.f32 (+.f32 (.f32 1/6 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (.f32 1/3 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))) u1) (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))
(fma.f32 (fma.f32 1/18 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (fma.f32 7/72 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (cbrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 2/9)) (pow.f32 u1 1/6)))) (.f32 u1 u1) (fma.f32 (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1/2) u1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))
(fma.f32 (+.f32 (.f32 (.f32 (cbrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 2/9) (.f32 (pow.f32 u1 1/6) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 11/72)) (.f32 u1 u1) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1) (.f32 u1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 u1) 1/2)))))
(fma.f32 (+.f32 (.f32 (.f32 (cbrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 2/9) (.f32 (pow.f32 u1 1/6) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 11/72)) (.f32 u1 u1) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (+.f32 1 (.f32 1/2 u1))))
(+.f32 (.f32 (+.f32 (.f32 1/18 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (+.f32 (.f32 7/72 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (.f32 (sqrt.f32 1) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1/3) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1/3))) (pow.f32 u1 1/6)))))) (pow.f32 u1 2)) (+.f32 (.f32 (+.f32 (.f32 1/6 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (.f32 1/3 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))) u1) (+.f32 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (.f32 (+.f32 (.f32 (sqrt.f32 1) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1/3) (.f32 (pow.f32 u1 1/6) (+.f32 (.f32 7/216 (pow.f32 (.f32 1 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1/3)) (.f32 91/648 (pow.f32 (.f32 1 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1/3)))))) (+.f32 (.f32 7/216 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))) (+.f32 (.f32 1/6 (.f32 (sqrt.f32 1) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1/3) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1/3))) (pow.f32 u1 1/6))))) (.f32 91/1296 (.f32 (pow.f32 1 1/6) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))))) (pow.f32 u1 3)))))
(fma.f32 (fma.f32 1/18 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (fma.f32 7/72 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (cbrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 2/9)) (pow.f32 u1 1/6)))) (.f32 u1 u1) (+.f32 (fma.f32 (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1/2) u1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (.f32 (+.f32 (.f32 (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 14/81)) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 7/216 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (fma.f32 1/6 (.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (cbrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 2/9)) (pow.f32 u1 1/6)) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 91/1296)))) (pow.f32 u1 3))))
(fma.f32 (+.f32 (.f32 (.f32 (cbrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 2/9) (.f32 (pow.f32 u1 1/6) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 11/72)) (.f32 u1 u1) (fma.f32 u1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 u1) 1/2)) (fma.f32 (fma.f32 (.f32 (cbrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) (.f32 14/81 (pow.f32 u1 1/6))) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 7/216 (fma.f32 1/6 (.f32 (.f32 (cbrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 2/9) (.f32 (pow.f32 u1 1/6) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 u1) 91/1296))))) (pow.f32 u1 3) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))
(+.f32 (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (+.f32 1 (.f32 1/2 u1))) (.f32 (.f32 u1 u1) (+.f32 (.f32 (fma.f32 (.f32 (cbrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) (.f32 14/81 (pow.f32 u1 1/6))) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (cbrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) (.f32 2/9 (pow.f32 u1 1/6))) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 1/6)) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 133/1296))) u1) (+.f32 (.f32 (.f32 (cbrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 2/9) (.f32 (pow.f32 u1 1/6) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 11/72)))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (.f32 1/6 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1))) (+.f32 (.f32 1/3 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))))
(fma.f32 1/6 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 1/3 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))))
(+.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1/2))
(fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) 1/2))
(+.f32 (.f32 1/18 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (.f32 (pow.f32 -1 1/6) (.f32 (pow.f32 (.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) 1/3) (/.f32 (+.f32 (.f32 7/36 (pow.f32 (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/3)) (.f32 1/36 (pow.f32 (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/3))) (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1))) (+.f32 (.f32 7/72 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (.f32 1/3 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))))))
(fma.f32 1/18 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 (pow.f32 -1 1/6) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 2/9) (.f32 u1 u1))) (fma.f32 1/6 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 7/72 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 1/3 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))))))
(fma.f32 1/18 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (pow.f32 -1 1/6) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (/.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) u1) (/.f32 2/9 u1))) (+.f32 (+.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1/2)) (.f32 7/72 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))))))
(fma.f32 1/18 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 (pow.f32 -1 1/6) (.f32 (/.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) u1) (/.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) (/.f32 u1 2/9))) (+.f32 (.f32 (/.f32 (.f32 (sqrt.f32 -1) 7/72) u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) 1/2)))))
(+.f32 (.f32 1/18 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1))) (+.f32 (.f32 1/3 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1))) (+.f32 (.f32 91/1296 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (.f32 (pow.f32 (.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) 1/3) (/.f32 (+.f32 (.f32 7/36 (pow.f32 (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/3)) (.f32 1/36 (pow.f32 (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/3))) (pow.f32 u1 3))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)) (+.f32 (.f32 7/216 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3)))) (+.f32 (.f32 (pow.f32 -1 1/6) (.f32 (pow.f32 (.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) 1/3) (/.f32 (+.f32 (.f32 7/36 (pow.f32 (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/3)) (.f32 1/36 (pow.f32 (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/3))) (pow.f32 u1 2)))) (+.f32 (.f32 7/72 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (.f32 (/.f32 (+.f32 (.f32 91/648 (pow.f32 (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/3)) (.f32 7/216 (pow.f32 (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/3))) (pow.f32 u1 3)) (.f32 (pow.f32 -1 1/6) (pow.f32 (.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) 1/3))))))))))))
(fma.f32 1/18 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 1/6 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 1/3 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 91/1296 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 1/6 (.f32 (pow.f32 -1 1/6) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 2/9) (pow.f32 u1 3)))) (+.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (fma.f32 7/216 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 (pow.f32 -1 1/6) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 2/9) (.f32 u1 u1))) (fma.f32 7/72 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (/.f32 (.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 14/81) (pow.f32 u1 3)) (.f32 (pow.f32 -1 1/6) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))))))))))
(fma.f32 1/18 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (fma.f32 91/1296 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 (.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))) 2/9) (pow.f32 u1 3))) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 7/216 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (pow.f32 -1 1/6) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (/.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) u1) (/.f32 2/9 u1))) (fma.f32 7/72 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (pow.f32 -1 1/6) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) (/.f32 (pow.f32 u1 3) 14/81)))))))))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1/2)))
(+.f32 (fma.f32 91/1296 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 1/6 (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (.f32 (pow.f32 -1 1/6) (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))) (/.f32 (pow.f32 u1 3) 2/9))) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 7/216 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 (/.f32 (.f32 (sqrt.f32 -1) 7/72) u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (.f32 (.f32 (pow.f32 -1 1/6) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (+.f32 (.f32 2/9 (/.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) (.f32 u1 u1))) (/.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) (/.f32 (pow.f32 u1 3) 14/81))))))))) (fma.f32 1/18 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (.f32 u1 u1))) (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) 1/2)))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (.f32 -1/3 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))) u1)) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))
(fma.f32 1/6 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 1/3 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))))
(+.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1/2))
(fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) 1/2))
(+.f32 (.f32 1/18 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (.f32 -1/3 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))) u1)) (+.f32 (.f32 7/72 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 7/36 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 1/3)) (.f32 1/36 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 1/3))) (pow.f32 u1 2)) (pow.f32 (.f32 (sqrt.f32 -1) (.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1/3)) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))))))
(fma.f32 1/18 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1 (/.f32 (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) -1/2) u1) (fma.f32 7/72 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 (/.f32 (.f32 (cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 (sqrt.f32 -1) 2))) 2/9) (.f32 u1 u1)) (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))))))
(fma.f32 1/18 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (-.f32 (fma.f32 7/72 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (.f32 (/.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) u1) (/.f32 2/9 u1)) (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) -1/2)))
(+.f32 (fma.f32 7/72 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (/.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) (/.f32 u1 2/9)) (/.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) u1)))) (fma.f32 1/18 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (.f32 u1 u1))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) 1/2)))
(+.f32 (.f32 1/18 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (.f32 -1/3 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))) u1)) (+.f32 (.f32 7/72 (.f32 (pow.f32 1 1/3) (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 (+.f32 (.f32 -91/648 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 1/3)) (.f32 -7/216 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 1/3))) (pow.f32 (.f32 (sqrt.f32 -1) (.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1/3)) (+.f32 (.f32 -91/1296 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (+.f32 (.f32 -7/216 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3))) (.f32 -1/6 (.f32 (+.f32 (.f32 7/36 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 1/3)) (.f32 1/36 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 1/3))) (pow.f32 (.f32 (sqrt.f32 -1) (.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1/3)))))) (pow.f32 u1 3))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 7/36 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 1/3)) (.f32 1/36 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 1/3))) (pow.f32 u1 2)) (pow.f32 (.f32 (sqrt.f32 -1) (.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1/3)) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 1 1/3)))))))
(fma.f32 1/18 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1 (/.f32 (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) -1/2) u1) (fma.f32 7/72 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1 (/.f32 (fma.f32 (.f32 (cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 (sqrt.f32 -1) 2))) -14/81) (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (fma.f32 -91/1296 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (fma.f32 -7/216 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 -1/6 (.f32 (.f32 (cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 (sqrt.f32 -1) 2))) 2/9) (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))))))) (pow.f32 u1 3)) (fma.f32 (/.f32 (.f32 (cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 (sqrt.f32 -1) 2))) 2/9) (.f32 u1 u1)) (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))))))
(fma.f32 1/18 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (-.f32 (fma.f32 7/72 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (-.f32 (fma.f32 (.f32 (/.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) u1) (/.f32 2/9 u1)) (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (/.f32 (fma.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) -14/81) (+.f32 (.f32 -1/6 (.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) (.f32 2/9 (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) -133/1296))) (pow.f32 u1 3)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) -1/2)))
(-.f32 (+.f32 (fma.f32 7/72 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (/.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) (/.f32 u1 2/9)) (/.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) u1)))) (fma.f32 1/18 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (.f32 u1 u1))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) 1/2))) (/.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) -133/1296) (.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (+.f32 (.f32 -1/6 (.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 2/9)) (.f32 (cbrt.f32 (neg.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) -14/81)))) (pow.f32 u1 3)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (pow.f32 u2 2) (+.f32 (.f32 -98696044010906577398881/15000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -98696044010906577398881/7500000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -98696044010906577398881/5000000000000000000000)))
(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -98696044010906577398881/5000000000000000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/6) (+.f32 (.f32 -9740909103402808085817682884085781839780052161/225000000000000000000000000000000000000000000 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/3)) (.f32 9740909103402808085817682884085781839780052161/225000000000000000000000000000000000000000000 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/3)))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/112500000000000000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (.f32 (pow.f32 u2 2) (+.f32 (.f32 -98696044010906577398881/15000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -98696044010906577398881/7500000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (pow.f32 u2 4) (fma.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (.f32 (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -98696044010906577398881/5000000000000000000000))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -98696044010906577398881/5000000000000000000000) (.f32 (pow.f32 u2 4) (fma.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 -98696044010906577398881/15000000000000000000000 (.f32 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/6) (+.f32 (.f32 -9740909103402808085817682884085781839780052161/225000000000000000000000000000000000000000000 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/3)) (.f32 9740909103402808085817682884085781839780052161/225000000000000000000000000000000000000000000 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/3))))) (+.f32 (.f32 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/6) (+.f32 (.f32 -22111951452240733739562336342840875300932515380039096535799207309732343/50625000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/3)) (.f32 961389193575684075633145058384385882649239799132134631991269883031841/3375000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/3)))) (+.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/3375000000000000000000000000000000000000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -22111951452240733739562336342840875300932515380039096535799207309732343/101250000000000000000000000000000000000000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/6) (+.f32 (.f32 -9740909103402808085817682884085781839780052161/225000000000000000000000000000000000000000000 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/3)) (.f32 9740909103402808085817682884085781839780052161/225000000000000000000000000000000000000000000 (pow.f32 (/.f32 (.f32 1 u1) (-.f32 1 u1)) 1/3)))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/112500000000000000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -9740909103402808085817682884085781839780052161/450000000000000000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (.f32 (pow.f32 u2 2) (+.f32 (.f32 -98696044010906577398881/15000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -98696044010906577398881/7500000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (pow.f32 u2 6) (fma.f32 -98696044010906577398881/15000000000000000000000 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)) (fma.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) -961389193575684075633145058384385882649239799132134631991269883031841/6328125000000000000000000000000000000000000000000000000000000000000) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6729724355029788529432015408690701178544678593924942423938889181222887/101250000000000000000000000000000000000000000000000000000000000000000))) (fma.f32 (pow.f32 u2 4) (fma.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (.f32 (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -98696044010906577398881/5000000000000000000000)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (pow.f32 u2 6) (+.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 0) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6729724355029788529432015408690701178544678593924942423938889181222887/101250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) -961389193575684075633145058384385882649239799132134631991269883031841/6328125000000000000000000000000000000000000000000000000000000000000)))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -98696044010906577398881/5000000000000000000000) (.f32 (pow.f32 u2 4) (fma.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (pow.f32 u2 6) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 6729724355029788529432015408690701178544678593924942423938889181222887/101250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3) -961389193575684075633145058384385882649239799132134631991269883031841/6328125000000000000000000000000000000000000000000000000000000000000)) (+.f32 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))))))
(.f32 (pow.f32 1 1/6) (.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 (pow.f32 1 1/6) (.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 (pow.f32 1 1/6) (.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 (pow.f32 1 1/6) (.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 (pow.f32 1 1/6) (.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 (pow.f32 1 1/6) (.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 (pow.f32 1 1/6) (.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 (pow.f32 1 1/6) (.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))))

eval516.0ms (4.5%)

Compiler: Compiled 12658 to 10252 computations (19% saved)

prune214.0ms (1.9%)

Pruning

45 alts after pruning (40 fresh and 5 done)

	Pruned	Kept	Total
New	586	16	602
Fresh	10	24	34
Picked	0	1	1
Done	4	4	8
Total	600	45	645

Error

0.0b

Counts

645 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 3))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 1))
	7.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	1.9b	(sqrt.f32 (.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
	7.2b	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	17.1b	(sqrt.f32 (-.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 1))
	7.2b	(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	7.2b	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	16.3b	(sqrt.f32 (+.f32 1 (-.f32 (/.f32 u1 (-.f32 1 u1)) 1)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
▶	9.7b	(sqrt.f32 (fma.f32 u1 u1 u1))
▶	14.0b	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.7b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.1b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
▶	7.1b	(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
	13.9b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	0.8b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)
	15.3b	(.f32 (sqrt.f32 (+.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))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.1b	(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
	7.2b	(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
	0.7b	(.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cos.f32 (*.f32 u2 314159265359/50000000000))))
	5.2b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)))
	7.2b	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	7.1b	(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))
▶	1.8b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 314159265359/50000000000 u2)))))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (-.f32 (pow.f32 (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 2) 1) (+.f32 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1) 1)))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
	1.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	12.4b	(sqrt.f32 u1)
	1.8b	(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
✓	7.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	8.7b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	7.2b	(fma.f32 (sqrt.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)) 1)) (sqrt.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)) 1)) -1)
	1.1b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	2.1b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (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)))))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)
	8.7b	(.f32 (sqrt.f32 u1) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	7.7b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
	6.3b	(-.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)) 1) 1)
	4.8b	(.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (+.f32 1 (.f32 1/2 u1)))
	10.8b	(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
	10.8b	(-.f32 (+.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1)
	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))

Compiler

Compiled 1372 to 1125 computations (18% saved)

localize89.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 36 computations (28% saved)

series3.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`log-prod_binary32`
360×	`pow-prod-down_binary32`
315×	`pow2_binary32`
315×	`prod-diff_binary32`
220×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	258	24
2	3337	24

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

752×	`associate-*r/_binary32`
513×	`associate-/l/_binary32`
389×	`unswap-sqr_binary32`
348×	`fma-def_binary32`
306×	`distribute-rgt-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	796
1	273	745
2	844	679
3	3079	579
4	7006	579

Stop Event

1×	node limit

Counts

106 → 109

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 (+.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))))

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

localize30.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (/.f32 1 u1) -1)
✓	0.2b	(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)

Compiler

Compiled 22 to 18 computations (18.2% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
1.0ms	u1	@	inf	(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
1.0ms	u1	@	-inf	(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
0.0ms	u1	@	0	(+.f32 (/.f32 1 u1) -1)
0.0ms	u1	@	inf	(+.f32 (/.f32 1 u1) -1)

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

767×	`pow1_binary32`
718×	`add-log-exp_binary32`
716×	`log1p-expm1-u_binary32`
716×	`expm1-log1p-u_binary32`
704×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	170	17
2	1967	17

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(+.f32 (/.f32 1 u1) -1)

Outputs

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

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

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

527×	`times-frac_binary32`
500×	`distribute-lft-out_binary32`
457×	`fma-def_binary32`
412×	`associate-/r*_binary32`
381×	`associate-/l/_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	303
1	97	293
2	216	257
3	515	247
4	1317	243
5	5108	243
6	5881	243
7	7301	243

Stop Event

1×	node limit

Counts

70 → 64

Calls

Call 1

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

Outputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))
(fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))
(fma.f32 1/2 (pow.f32 u1 3/2) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(+.f32 (sqrt.f32 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 3/8 (pow.f32 u1 5/2) (sqrt.f32 u1)))
(+.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))))))
(fma.f32 5/16 (sqrt.f32 (pow.f32 u1 7)) (+.f32 (sqrt.f32 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))))
(+.f32 (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))) (fma.f32 5/16 (sqrt.f32 (pow.f32 u1 7)) (sqrt.f32 u1)))
(fma.f32 5/16 (pow.f32 u1 7/2) (fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 3/8 (pow.f32 u1 5/2) (sqrt.f32 u1))))
(fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 3/8 (pow.f32 u1 5/2) (fma.f32 5/16 (pow.f32 u1 7/2) (sqrt.f32 u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(fma.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)) (sqrt.f32 -1))
(+.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)))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (+.f32 1/2 (/.f32 3/8 u1)) (/.f32 5/16 (.f32 u1 u1)))))
(fma.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (+.f32 (/.f32 3/8 u1) (/.f32 5/16 (*.f32 u1 u1)))) (sqrt.f32 -1))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(fma.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)) (sqrt.f32 -1))
(+.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)))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (+.f32 1/2 (/.f32 3/8 u1)) (/.f32 5/16 (.f32 u1 u1)))))
(fma.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (+.f32 (/.f32 3/8 u1) (/.f32 5/16 (*.f32 u1 u1)))) (sqrt.f32 -1))
(/.f32 1 u1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(+.f32 -1 (/.f32 1 u1))
-1
(-.f32 (/.f32 1 u1) 1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(+.f32 -1 (/.f32 1 u1))
-1
(-.f32 (/.f32 1 u1) 1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(+.f32 -1 (/.f32 1 u1))

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (fma.f32 u1 u1 u1))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

352×	`pow1_binary32`
339×	`add-sqr-sqrt_binary32`
332×	`*-un-lft-identity_binary32`
326×	`add-log-exp_binary32`
326×	`log1p-expm1-u_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	79	6
2	910	6

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(sqrt.f32 (fma.f32 u1 u1 u1))

Outputs

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

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

728×	`fma-neg_binary32`
539×	`div-sub_binary32`
536×	`cancel-sign-sub-inv_binary32`
423×	`associate-/l/_binary32`
415×	`associate-*l/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	73
1	70	71
2	162	70
3	391	70
4	1009	70
5	2540	70
6	7758	70

Stop Event

1×	node limit

Counts

52 → 59

Calls

Call 1

Inputs
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 u1)
(-.f32 (*.f32 -1 u1) 1/2)
(-.f32 (+.f32 (.f32 -1 u1) (.f32 1/8 (/.f32 1 u1))) 1/2)
(-.f32 (+.f32 (.f32 -1 u1) (.f32 1/8 (/.f32 1 u1))) (+.f32 1/2 (*.f32 1/16 (/.f32 1 (pow.f32 u1 2)))))

Outputs
u1
(+.f32 1/2 u1)
(+.f32 u1 1/2)
(-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))
(-.f32 (+.f32 u1 1/2) (/.f32 1/8 u1))
(+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1)))
(+.f32 u1 (+.f32 1/2 (/.f32 -1/8 u1)))
(+.f32 (+.f32 u1 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 1/2 (-.f32 (+.f32 u1 (/.f32 1/16 (*.f32 u1 u1))) (/.f32 1/8 u1)))
(+.f32 1/2 (+.f32 u1 (-.f32 (/.f32 1/16 (*.f32 u1 u1)) (/.f32 1/8 u1))))
(+.f32 u1 (+.f32 (/.f32 1/16 (*.f32 u1 u1)) (+.f32 1/2 (/.f32 -1/8 u1))))
(+.f32 u1 (+.f32 1/2 (+.f32 (/.f32 1/16 (*.f32 u1 u1)) (/.f32 -1/8 u1))))
(+.f32 u1 (-.f32 (-.f32 1/2 (/.f32 -1/16 (*.f32 u1 u1))) (/.f32 1/8 u1)))
(*.f32 -1 u1)
(neg.f32 u1)
(-.f32 (*.f32 -1 u1) 1/2)
(fma.f32 -1 u1 -1/2)
(fma.f32 u1 -1 -1/2)
(-.f32 -1/2 u1)
(-.f32 (+.f32 (.f32 -1 u1) (.f32 1/8 (/.f32 1 u1))) 1/2)
(+.f32 (fma.f32 -1 u1 (/.f32 1/8 u1)) -1/2)
(+.f32 (-.f32 (/.f32 1/8 u1) u1) -1/2)
(+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1))
(-.f32 (/.f32 1/8 u1) (+.f32 u1 1/2))
(-.f32 (+.f32 (.f32 -1 u1) (.f32 1/8 (/.f32 1 u1))) (+.f32 1/2 (*.f32 1/16 (/.f32 1 (pow.f32 u1 2)))))
(-.f32 (fma.f32 -1 u1 (/.f32 1/8 u1)) (+.f32 1/2 (/.f32 1/16 (*.f32 u1 u1))))
(+.f32 (-.f32 (/.f32 1/8 u1) u1) (-.f32 -1/2 (/.f32 1/16 (*.f32 u1 u1))))
(+.f32 (/.f32 1/8 u1) (+.f32 (-.f32 -1/2 u1) (/.f32 -1/16 (*.f32 u1 u1))))
(-.f32 (/.f32 1/8 u1) (-.f32 1/2 (-.f32 (/.f32 -1/16 (*.f32 u1 u1)) u1)))

localize131.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 314159265359/50000000000 u2))))))
✓	0.3b	(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 314159265359/50000000000 u2)))))
	0.3b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 82 to 66 computations (19.5% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`prod-diff_binary32`
319×	`fma-def_binary32`
288×	`expm1-udef_binary32`
287×	`log1p-udef_binary32`
227×	`log-pow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	335	27
2	4478	27

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1/4 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (/.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 2) 1/4) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (pow.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 3) 1/8 1/8) (/.f32 1 (fma.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 2) 1/4)) (/.f32 1 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) -1/2) 1/4) (fma.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 3) 1/8 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 3) 1/8 1/8) (fma.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 3) 1/8 1/8) (fma.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 2) 1/4 (-.f32 1/4 (*.f32 1/4 (cos.f32 (*.f32 u2 314159265359/25000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 2) 1/4)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 3) 1/8 1/8)) (neg.f32 (fma.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 2) 1/4))) (neg.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 2) 1/4 -1/4) (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 2 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 1/2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) (pow.f32 (cbrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) 2) (cbrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/25000000000))) 2) (*.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/25000000000))) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) (sqrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/25000000000))) (*.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/25000000000))) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 1/2 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/25000000000))) 2)) (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/25000000000))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 1/2 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)))) (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/25000000000))) 1/2)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))) 1) (*.f32 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (-.f32 1 u1) u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u1 (/.f32 (-.f32 1 u1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 1 u1) (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 3) 1/8 1/8) (*.f32 (/.f32 (-.f32 1 u1) u1) (fma.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 2) 1/4)) (*.f32 (/.f32 (-.f32 1 u1) u1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 3) 1/8 1/8) u1) (*.f32 (fma.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) -1/2) 1/4) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 2) 1/4)) u1) (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 3) 1/8 1/8) 1) (*.f32 (fma.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) -1/2) 1/4) (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 2) 1/4)) 1) (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 3) 1/8 1/8) (neg.f32 u1)) (*.f32 (fma.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) -1/2) 1/4) (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 2) 1/4)) (neg.f32 u1)) (*.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 (fma.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 3) 1/8 1/8)) (*.f32 (-.f32 1 u1) (fma.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 u1) (fma.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 3) 1/8 1/8)) (*.f32 (neg.f32 (-.f32 1 u1)) (fma.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 2) 1/4))) (*.f32 (-.f32 1 u1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 u1) (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 2) 1/4))) (*.f32 (neg.f32 (-.f32 1 u1)) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))) 3) (pow.f32 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))) 3)) (fma.f32 (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))) (-.f32 (*.f32 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1))))) (*.f32 (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))))) (-.f32 (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) 1) (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 3) 1/8 1/8) (/.f32 u1 (-.f32 1 u1))) (fma.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 2) 1/4)) (/.f32 u1 (-.f32 1 u1))) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 u1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 u1)) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 3) 1/8 1/8)) (fma.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) 2) 1/4))) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (exp.f32 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1))))) (exp.f32 (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) (pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1/2 (/.f32 u1 (-.f32 1 u1)) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) (/.f32 u1 (-.f32 1 u1)) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u1 (*.f32 (/.f32 1 (-.f32 1 u1)) 1/2) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u1 (*.f32 (/.f32 1 (-.f32 1 u1)) (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 u1 (-.f32 1 u1)) 1/2 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) 2) (*.f32 (cbrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) (*.f32 (sqrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/25000000000)) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))) 1 (*.f32 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (cbrt.f32 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))))) (cbrt.f32 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1))))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (cbrt.f32 (*.f32 1/2 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (*.f32 1/2 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1))))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 1/2 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (*.f32 1/2 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 1/2 u1) (/.f32 1 (-.f32 1 u1)) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) u1) (/.f32 1 (-.f32 1 u1)) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 1/2 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 1/2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/25000000000))) 1/2 (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cbrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) 2)) (cbrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000))))) (sqrt.f32 (*.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) (*.f32 1/2 (/.f32 u1 (-.f32 1 u1))))))))

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

455×	`associate-/l*_binary32`
423×	`associate-/r*_binary32`
385×	`distribute-rgt-out_binary32`
349×	`fma-def_binary32`
328×	`*-commutative_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	924
1	197	798
2	595	728
3	2747	689

Stop Event

1×	node limit

Counts

160 → 157

Calls

Call 1

Inputs
1
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(+.f32 1 (+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))
(.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1)
(+.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1) (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 2)))
(+.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1) (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) (pow.f32 u1 2))))
(+.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1) (+.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 2)) (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 4)))))
(.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))))
(+.f32 (.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))) (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1)))
(+.f32 (.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))) (+.f32 (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1)) (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) (pow.f32 u1 2)))))
(+.f32 (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 3))) (+.f32 (.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))) (+.f32 (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1)) (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 2))))))
(.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))))
(+.f32 (.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))) (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1)))
(+.f32 (.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))) (+.f32 (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1)) (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) (pow.f32 u1 2)))))
(+.f32 (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 3))) (+.f32 (.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))) (+.f32 (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1)) (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 2))))))
(/.f32 u1 (-.f32 1 u1))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 6) u1) (-.f32 1 u1))))))
(/.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1) (-.f32 1 u1))
(/.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1) (-.f32 1 u1))
(/.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1) (-.f32 1 u1))
(/.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1) (-.f32 1 u1))
(/.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1) (-.f32 1 u1))
(/.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1) (-.f32 1 u1))
(/.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1) (-.f32 1 u1))
(/.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1) (-.f32 1 u1))

Outputs
1
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1)
(+.f32 1 (+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(+.f32 1 (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))
(+.f32 1 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4))))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(+.f32 1 (+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
(+.f32 1 (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
(+.f32 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1) (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000))))
(fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) 1/2)
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000))))
(fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) 1/2)
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000))))
(fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) 1/2)
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000))))
(fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) 1/2)
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000))))
(fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) 1/2)
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000))))
(fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) 1/2)
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000))))
(fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) 1/2)
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000))))
(fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) 1/2)
(.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1)
(.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) u1)
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) u1)
(+.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1) (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 2)))
(.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (+.f32 u1 (.f32 u1 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (+.f32 u1 (*.f32 u1 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (fma.f32 u1 u1 u1))
(+.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1) (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) (pow.f32 u1 2))))
(fma.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (pow.f32 u1 3) (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (+.f32 u1 (.f32 u1 u1))))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (+.f32 (+.f32 u1 (*.f32 u1 u1)) (pow.f32 u1 3)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (*.f32 u1 (+.f32 u1 (fma.f32 u1 u1 1))))
(+.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1) (+.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 2)) (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 4)))))
(fma.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (pow.f32 u1 3) (fma.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) u1 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (+.f32 (.f32 u1 u1) (pow.f32 u1 4)))))
(fma.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (pow.f32 u1 3) (.f32 (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) 1/2) (+.f32 u1 (fma.f32 u1 u1 (pow.f32 u1 4)))))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (+.f32 (pow.f32 u1 3) (+.f32 u1 (fma.f32 u1 u1 (pow.f32 u1 4)))))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1)))
(.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))))
(neg.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))))
(+.f32 -1/2 (.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2))
(fma.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) -1/2 -1/2)
(+.f32 (.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))) (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1)))
(.f32 -1 (+.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) u1)))
(-.f32 (/.f32 (+.f32 -1/2 (.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2)) u1) (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) 1/2))
(+.f32 (fma.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2 -1/2) (/.f32 (fma.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2 -1/2) u1))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (+.f32 -1 (/.f32 -1 u1)))
(+.f32 (.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))) (+.f32 (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1)) (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) (pow.f32 u1 2)))))
(fma.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (fma.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) u1) (neg.f32 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (*.f32 u1 u1)))))
(-.f32 (-.f32 (/.f32 (+.f32 -1/2 (.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2)) u1) (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2)) (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (*.f32 u1 u1)))
(+.f32 (fma.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2 -1/2) (.f32 (/.f32 (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) 1/2) u1) (+.f32 -1 (/.f32 -1 u1))))
(fma.f32 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) u1) (+.f32 -1 (/.f32 -1 u1)) (fma.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2 -1/2))
(+.f32 (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 3))) (+.f32 (.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))) (+.f32 (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1)) (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 2))))))
(fma.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (pow.f32 u1 3)) (fma.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (fma.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) u1) (neg.f32 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (*.f32 u1 u1))))))
(-.f32 (-.f32 (-.f32 (/.f32 (+.f32 -1/2 (.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2)) u1) (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2)) (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (.f32 u1 u1))) (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (pow.f32 u1 3)))
(+.f32 (fma.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2 -1/2) (+.f32 (/.f32 (fma.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2 -1/2) u1) (.f32 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (*.f32 u1 u1)) (+.f32 -1 (/.f32 -1 u1)))))
(+.f32 (fma.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2 -1/2) (.f32 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) u1) (+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (.f32 u1 u1))))))
(.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))))
(neg.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))))
(+.f32 -1/2 (.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2))
(fma.f32 (cos.f32 (*.f32 u2 314159265359/25000000000)) -1/2 -1/2)
(+.f32 (.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))) (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1)))
(.f32 -1 (+.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)))) u1)))
(-.f32 (/.f32 (+.f32 -1/2 (.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2)) u1) (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) 1/2))
(+.f32 (fma.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2 -1/2) (/.f32 (fma.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2 -1/2) u1))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (+.f32 -1 (/.f32 -1 u1)))
(+.f32 (.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))) (+.f32 (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1)) (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) (pow.f32 u1 2)))))
(fma.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (fma.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) u1) (neg.f32 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (*.f32 u1 u1)))))
(-.f32 (-.f32 (/.f32 (+.f32 -1/2 (.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2)) u1) (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2)) (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (*.f32 u1 u1)))
(+.f32 (fma.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2 -1/2) (.f32 (/.f32 (fma.f32 1/2 (cos.f32 (*.f32 u2 314159265359/25000000000)) 1/2) u1) (+.f32 -1 (/.f32 -1 u1))))
(fma.f32 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) u1) (+.f32 -1 (/.f32 -1 u1)) (fma.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2 -1/2))
(+.f32 (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 3))) (+.f32 (.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2))))) (+.f32 (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) u1)) (.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 314159265359/25000000000 u2)))) (pow.f32 u1 2))))))
(fma.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (pow.f32 u1 3)) (fma.f32 -1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (fma.f32 -1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) u1) (neg.f32 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (*.f32 u1 u1))))))
(-.f32 (-.f32 (-.f32 (/.f32 (+.f32 -1/2 (.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2)) u1) (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2)) (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (.f32 u1 u1))) (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (pow.f32 u1 3)))
(+.f32 (fma.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2 -1/2) (+.f32 (/.f32 (fma.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2 -1/2) u1) (.f32 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (*.f32 u1 u1)) (+.f32 -1 (/.f32 -1 u1)))))
(+.f32 (fma.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) -1/2 -1/2) (.f32 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) u1) (+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (.f32 u1 u1))))))
(/.f32 u1 (-.f32 1 u1))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))))
(fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) u1) (/.f32 u1 (-.f32 1 u1)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u1 (/.f32 u2 (/.f32 (-.f32 1 u1) u2))) (/.f32 u1 (-.f32 1 u1)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 (.f32 u2 u2) (/.f32 u1 (-.f32 1 u1))) (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))))
(fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1)) (+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1)))))
(fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 (/.f32 (*.f32 u2 u2) (-.f32 1 u1)) u1) (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u1 (/.f32 u2 (/.f32 (-.f32 1 u1) u2))) (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (+.f32 (/.f32 1 u1) -1)) (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 (.f32 u2 u2) (/.f32 u1 (-.f32 1 u1))) (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (+.f32 (/.f32 1 u1) -1)) (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 6) u1) (-.f32 1 u1))))))
(fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1)) (+.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 u2 u2) (/.f32 (-.f32 1 u1) u1)) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 6) (/.f32 (-.f32 1 u1) u1))))))
(+.f32 (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) u1) (/.f32 u1 (-.f32 1 u1)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (*.f32 (/.f32 (pow.f32 u2 6) (-.f32 1 u1)) u1)))
(fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (+.f32 (/.f32 1 u1) -1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u1 (/.f32 u2 (/.f32 (-.f32 1 u1) u2))) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (.f32 u1 (/.f32 (pow.f32 u2 6) (-.f32 1 u1))) (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (+.f32 (/.f32 1 u1) -1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 (.f32 u2 u2) (/.f32 u1 (-.f32 1 u1))) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (/.f32 u1 (-.f32 1 u1))) (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1) (-.f32 1 u1))
(/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (-.f32 1 u1)) u1)
(.f32 u1 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (-.f32 1 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1) (-.f32 1 u1))
(/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (-.f32 1 u1)) u1)
(.f32 u1 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (-.f32 1 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1) (-.f32 1 u1))
(/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (-.f32 1 u1)) u1)
(.f32 u1 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (-.f32 1 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1) (-.f32 1 u1))
(/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (-.f32 1 u1)) u1)
(.f32 u1 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (-.f32 1 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1) (-.f32 1 u1))
(/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (-.f32 1 u1)) u1)
(.f32 u1 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (-.f32 1 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1) (-.f32 1 u1))
(/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (-.f32 1 u1)) u1)
(.f32 u1 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (-.f32 1 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1) (-.f32 1 u1))
(/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (-.f32 1 u1)) u1)
(.f32 u1 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (-.f32 1 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1) (-.f32 1 u1))
(/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (-.f32 1 u1)) u1)
(.f32 u1 (/.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (-.f32 1 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)) 1/2) (/.f32 u1 (-.f32 1 u1)))

localize92.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	14.6b	(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)

Compiler

Compiled 69 to 51 computations (26.1% saved)

series27.0ms (0.2%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	u2	@	inf	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
4.0ms	u1	@	inf	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)

rewrite82.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`log-prod_binary32`
610×	`prod-diff_binary32`
339×	`pow2_binary32`
236×	`pow1/3_binary32`
233×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	295	33
2	3554	33

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs

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

(log1p.f32 (/.f32 u1 (-.f32 1 u1)))

(*.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))

Outputs

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

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

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

668×	`fma-def_binary32`
471×	`associate-r_binary32`
437×	`associate-l_binary32`
340×	`fma-neg_binary32`
323×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1799
1	446	1405
2	1551	1276
3	7478	1276

Stop Event

1×	node limit

Counts

168 → 185

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)))
(-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) 1)
(-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) u1) (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1))))) 1)
(-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) (pow.f32 u1 2)) (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) u1) (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))))) 1)
(-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) (pow.f32 u1 3)) (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) (pow.f32 u1 2)) (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) u1) (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1))))))) 1)
(*.f32 -1 (+.f32 1 (/.f32 1 u1)))
(-.f32 (*.f32 -1 (+.f32 1 (/.f32 1 u1))) (/.f32 1 (pow.f32 u1 2)))
(-.f32 (*.f32 -1 (+.f32 1 (/.f32 1 u1))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3))))
(-.f32 (*.f32 -1 (+.f32 1 (/.f32 1 u1))) (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 (pow.f32 u1 3)))))
u1
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (+.f32 (.f32 1/3 (pow.f32 u1 3)) u1))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (+.f32 (.f32 1/4 (pow.f32 u1 4)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))
(+.f32 (log.f32 -1) (+.f32 (log.f32 (/.f32 1 u1)) (/.f32 1 u1)))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (log.f32 -1) (+.f32 (log.f32 (/.f32 1 u1)) (/.f32 1 u1))))
(+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (log.f32 -1) (+.f32 (log.f32 (/.f32 1 u1)) (/.f32 1 u1)))))
(log.f32 (/.f32 -1 u1))
(+.f32 (log.f32 (/.f32 -1 u1)) (/.f32 1 u1))
(+.f32 (log.f32 (/.f32 -1 u1)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(+.f32 (log.f32 (/.f32 -1 u1)) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) 1)))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1))))) u1) (sqrt.f32 (/.f32 1 (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) 1))))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) 1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1))))) u1) (sqrt.f32 (/.f32 1 (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) 1))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) 1))) (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) 1))))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) 1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) (.f32 1/2 (/.f32 (.f32 (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) 1))) (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))))) 2)) (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1))))) (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) 1))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) 1))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1))))) u1) (sqrt.f32 (/.f32 1 (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) 1))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) 1))) (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) 1))))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 (exp.f32 (+.f32 (log.f32 -1) (log.f32 (/.f32 1 u1)))) 1))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 1 (/.f32 1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 1 (/.f32 1 u1)))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 1 (/.f32 1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 1 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 1 (/.f32 1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 (pow.f32 (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 1 (/.f32 1 u1)))))) 2) (/.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 1 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 1 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 1 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 (pow.f32 (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 1 (/.f32 1 u1)))))) 2) (/.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 1 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (-.f32 (/.f32 1 u1) (.f32 1/2 (/.f32 (+.f32 (pow.f32 (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 1 (/.f32 1 u1)))))) 2) (/.f32 1 u1)) (.f32 (+.f32 1 (/.f32 1 u1)) u1)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 1 (/.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))))) (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))))

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

eval596.0ms (5.2%)

Compiler: Compiled 15108 to 11997 computations (20.6% saved)

prune368.0ms (3.2%)

Pruning

53 alts after pruning (46 fresh and 7 done)

	Pruned	Kept	Total
New	736	19	755
Fresh	8	27	35
Picked	1	0	1
Done	2	7	9
Total	747	53	800

Error

0.0b

Counts

800 → 53

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 3))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	14.0b	(.f32 (sqrt.f32 (+.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) -1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 1))
	7.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	1.8b	(sqrt.f32 (+.f32 (.f32 1/2 (/.f32 u1 (-.f32 1 u1))) (.f32 1/2 (.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1))))))
	1.9b	(sqrt.f32 (.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
	9.8b	(*.f32 (pow.f32 (+.f32 u1 1) 1/2) (sqrt.f32 u1))
	17.1b	(sqrt.f32 (-.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 1))
	7.2b	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	25.4b	(+.f32 u1 1/2)
	7.2b	(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	7.2b	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	0.5b	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	1.9b	(sqrt.f32 (.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 314159265359/50000000000 u2)))))))
	16.3b	(sqrt.f32 (+.f32 1 (-.f32 (/.f32 u1 (-.f32 1 u1)) 1)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	5.2b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)))
	25.8b	u1
	10.8b	(-.f32 (+.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1)
	7.1b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
✓	7.1b	(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
	13.9b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	0.8b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)
	7.1b	(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
	0.7b	(.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cos.f32 (*.f32 u2 314159265359/50000000000))))
	27.7b	(-.f32 (/.f32 1/8 u1) (+.f32 u1 1/2))
	7.2b	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	7.1b	(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))
	14.0b	(.f32 (sqrt.f32 (-.f32 (exp.f32 (exp.f32 (log.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (-.f32 (pow.f32 (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 2) 1) (+.f32 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1) 1)))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
	30.7b	(-.f32 -1/2 u1)
	12.4b	(pow.f32 (/.f32 1 u1) -1/2)
	1.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	12.4b	(sqrt.f32 u1)
	2.9b	(sqrt.f32 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 314159265359/50000000000 u2)))))))
	30.5b	(neg.f32 u1)
	9.7b	(hypot.f32 (sqrt.f32 u1) u1)
	1.1b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	7.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	8.7b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	7.2b	(fma.f32 (sqrt.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)) 1)) (sqrt.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)) 1)) -1)
	9.8b	(sqrt.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
	8.7b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	4.8b	(.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (+.f32 1 (.f32 1/2 u1)))
	6.3b	(-.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)) 1) 1)
	13.1b	(-.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) 1)
	10.8b	(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
	1.8b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 (+.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) 1) 2)))
	7.7b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)

Compiler

Compiled 784 to 644 computations (17.9% saved)

regimes886.0ms (7.7%)

Counts

102 → 1

Calls

Call 1

Inputs
u1
(neg.f32 u1)
(+.f32 u1 1/2)
(-.f32 -1/2 u1)
(-.f32 (/.f32 1/8 u1) (+.f32 u1 1/2))
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(sqrt.f32 (-.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 1))
(sqrt.f32 (+.f32 1 (-.f32 (/.f32 u1 (-.f32 1 u1)) 1)))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(-.f32 (+.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(hypot.f32 (sqrt.f32 u1) u1)
(sqrt.f32 (fma.f32 u1 u1 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)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (+.f32 u1 1) 1/2) (sqrt.f32 u1))
(-.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) 1)
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(sqrt.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)))
(.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (+.f32 1 (.f32 1/2 u1)))
(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (+.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) -1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (/.f32 (+.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) 1) 2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 1))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 314159265359/50000000000 u2)))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (+.f32 (.f32 1/2 (/.f32 u1 (-.f32 1 u1))) (.f32 1/2 (.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) (/.f32 u1 (-.f32 1 u1))))))
(sqrt.f32 (.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 314159265359/50000000000 u2)))))))
(sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(.f32 (sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(-.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)) 1) 1)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(sqrt.f32 (.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 u1) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 3))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))) 1)
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 314159265359/50000000000 u2)))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (-.f32 (pow.f32 (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 2) 1) (+.f32 (+.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1) 1)))
(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
(.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3)) 1/3)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (-.f32 (exp.f32 (exp.f32 (log.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(.f32 (sqrt.f32 (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)))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (+.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))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (+.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))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(fma.f32 (sqrt.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)) 1)) (sqrt.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)) 1)) -1)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(sqrt.f32 (.f32 (+.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)))))) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (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)))))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)

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

Calls

8 calls:

148.0ms	(*.f32 314159265359/50000000000 u2)
112.0ms	(/.f32 u1 (-.f32 1 u1))
93.0ms	cosTheta_i
93.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
83.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

Error	Segments	Branch
0.3b	1	`cosTheta_i`
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(.f32 (sqrt.f32 (/.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 1393 to 1055 computations (24.3% saved)

regimes279.0ms (2.4%)

Counts

37 → 1

Calls

Call 1

Inputs
u1
(neg.f32 u1)
(+.f32 u1 1/2)
(-.f32 -1/2 u1)
(-.f32 (/.f32 1/8 u1) (+.f32 u1 1/2))
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(sqrt.f32 (-.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 1))
(sqrt.f32 (+.f32 1 (-.f32 (/.f32 u1 (-.f32 1 u1)) 1)))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(-.f32 (+.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(hypot.f32 (sqrt.f32 u1) u1)
(sqrt.f32 (fma.f32 u1 u1 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)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (+.f32 u1 1) 1/2) (sqrt.f32 u1))
(-.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) 1)
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(sqrt.f32 (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (*.f32 314159265359/25000000000 u2)))) u1))

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

Calls

9 calls:

58.0ms	(*.f32 314159265359/50000000000 u2)
48.0ms	u2
43.0ms	(/.f32 u1 (-.f32 1 u1))
23.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
23.0ms	(/.f32 u1 (-.f32 1 u1))

Results

Error	Segments	Branch
0.5b	1	`cosTheta_i`
0.5b	1	`u1`
0.5b	1	`u2`
0.5b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.5b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.5b	1	`(/.f32 u1 (-.f32 1 u1))`
0.5b	1	`(/.f32 u1 (-.f32 1 u1))`
0.5b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
0.5b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 332 to 239 computations (28% saved)

regimes868.0ms (7.5%)

Counts

35 → 2

Calls

Call 1

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

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

Calls

9 calls:

200.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
121.0ms	(/.f32 u1 (-.f32 1 u1))
105.0ms	(/.f32 u1 (-.f32 1 u1))
96.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
89.0ms	u2

Results

Error	Segments	Branch
7.1b	1	`cosTheta_i`
4.6b	2	`u1`
3.6b	2	`u2`
4.6b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
4.6b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
4.6b	2	`(/.f32 u1 (-.f32 1 u1))`
4.6b	2	`(/.f32 u1 (-.f32 1 u1))`
3.6b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
3.6b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 310 to 221 computations (28.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.9999830722808838	0.9999832510948181

Compiler

Compiled 20 to 16 computations (20% saved)

regimes70.0ms (0.6%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

5 calls:

14.0ms	(/.f32 u1 (-.f32 1 u1))
14.0ms	u1
13.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
13.0ms	u2
11.0ms	cosTheta_i

Results

Error	Segments	Branch
7.1b	1	`cosTheta_i`
7.1b	1	`u1`
7.1b	1	`u2`
7.1b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
7.1b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 175 to 126 computations (28% saved)

regimes25.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
u1
(neg.f32 u1)
(+.f32 u1 1/2)
(-.f32 -1/2 u1)
(-.f32 (/.f32 1/8 u1) (+.f32 u1 1/2))
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)

Outputs
(sqrt.f32 u1)

Calls

3 calls:

13.0ms	u1
5.0ms	u2
5.0ms	cosTheta_i

Results

Error	Segments	Branch
12.4b	1	`cosTheta_i`
12.4b	1	`u1`
12.4b	1	`u2`

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes17.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
u1
(neg.f32 u1)
(+.f32 u1 1/2)
(-.f32 -1/2 u1)
(-.f32 (/.f32 1/8 u1) (+.f32 u1 1/2))

Outputs
(+.f32 u1 1/2)

Calls

3 calls:

7.0ms	u1
4.0ms	u2
4.0ms	cosTheta_i

Results

Error	Segments	Branch
25.4b	1	`cosTheta_i`
25.4b	1	`u1`
25.4b	1	`u2`

Compiler

Compiled 31 to 22 computations (29% saved)

regimes13.0ms (0.1%)

Accuracy

Total -5.1b remaining (-19.6%)

Threshold costs -5.1b (-19.6%)

Counts

2 → 1

Calls

Call 1

Inputs
u1
(neg.f32 u1)

Outputs
u1

Calls

3 calls:

5.0ms	u1
3.0ms	u2
3.0ms	cosTheta_i

Results

Error	Segments	Branch
25.8b	1	`cosTheta_i`
25.8b	1	`u1`
25.8b	1	`u2`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary32`
4×	`*-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	24	82
1	33	82
2	36	82
3	38	82
4	39	82

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 4294895104/4294967296) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)
(+.f32 u1 1/2)
u1

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 4294895104/4294967296) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 8388467/8388608) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)
(+.f32 u1 1/2)
u1

Compiler

Compiled 75 to 60 computations (20% saved)

soundness0.0ms (0%)

end49.0ms (0.4%)

Compiler: Compiled 57 to 41 computations (28.1% 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