Details

analyze164.0ms (1.5%)

Algorithm

1×

Search

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample2.4s (21.1%)

Results

2.3s	8256×	body	256	valid
1.0ms	5×	body	256	precondition

Bogosity

preprocess44.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify16.0ms (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)

prune2.0ms (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

0.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize103.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 27 computations (30.8% saved)

series20.0ms (0.2%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	u2	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
3.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	u2	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite116.0ms (1%)

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

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

simplify102.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

774×	`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	3239	621
4	7165	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))))
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)))))
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)))))

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)))))
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(.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)
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u1
(+.f32 (pow.f32 u1 2) u1)
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(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
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(+.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)))
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(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
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(+.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)))
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(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))))
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eval197.0ms (1.8%)

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

prune140.0ms (1.3%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	153	27	180
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	153	28	181

Error

0.1b

Counts

181 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	6.6b	(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
▶	2.4b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
	0.7b	(.f32 (sqrt.f32 (.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
	1.0b	(.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)))))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	1.3b	(.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)))))))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (.f32 (.f32 3 (log.f32 (.f32 314159265359/50000000000 u2))) 1/3))))
	4.3b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.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))))
	2.8b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
▶	6.8b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	1.3b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 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)))
	3.1b	(.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 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	14.6b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (E.f32) (log.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	3.4b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.5b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.0b	(.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	8.1b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	1.6b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 994 to 809 computations (18.6% saved)

localize63.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	0.3b	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))

Compiler

Compiled 56 to 33 computations (41.1% saved)

series6.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
1.0ms	u2	@	0	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
1.0ms	u2	@	inf	(.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)))))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))

rewrite83.0ms (0.7%)

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))))))

simplify81.0ms (0.7%)

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))))
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(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))))
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(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))

localize23.0ms (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)

series2.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite45.0ms (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)))))))))

simplify53.0ms (0.5%)

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)))))

localize59.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 54 to 40 computations (25.9% saved)

series7.0ms (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	(.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))
1.0ms	u2	@	0	(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)

rewrite118.0ms (1.1%)

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))))))

simplify55.0ms (0.5%)

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 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (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 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.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 -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 (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 -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 (.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)))

localize65.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	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))))
	0.4b	(*.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	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
0.0ms	u2	@	0	(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)))))

rewrite69.0ms (0.6%)

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))))))

simplify74.0ms (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))))

localize75.0ms (0.7%)

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)) 1/6) 6)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	0.7b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)
✓	1.2b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)

Compiler

Compiled 65 to 49 computations (24.6% saved)

series10.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	0	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)
2.0ms	u1	@	inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)
2.0ms	u1	@	-inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)
1.0ms	u1	@	0	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)
0.0ms	u1	@	0	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite104.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	322	34
2	3572	34

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.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))))))

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

927×	`times-frac_binary32`
885×	`distribute-rgt-in_binary32`
883×	`distribute-lft-in_binary32`
304×	`fma-def_binary32`
163×	`associate-r_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	1712
1	810	1421
2	3215	1289

Stop Event

1×	node limit

Counts

133 → 143

Calls

Call 1

Inputs
u1
(+.f32 (.f32 (+.f32 (.f32 (sqrt.f32 u1) (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1)))) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (*.f32 1/6 (sqrt.f32 u1))) (sqrt.f32 u1))) u1) u1)
(+.f32 (.f32 (+.f32 (.f32 (sqrt.f32 u1) (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1)))) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) (sqrt.f32 u1))) u1) (+.f32 (.f32 (+.f32 (pow.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) 2) (.f32 2 (.f32 (+.f32 (.f32 1/18 (sqrt.f32 u1)) (+.f32 (.f32 7/72 (sqrt.f32 u1)) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6)))) (sqrt.f32 u1)))) (pow.f32 u1 2)) u1))
(+.f32 (.f32 (+.f32 (.f32 (sqrt.f32 u1) (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1)))) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) (sqrt.f32 u1))) u1) (+.f32 (.f32 (+.f32 (pow.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) 2) (.f32 2 (.f32 (+.f32 (.f32 1/18 (sqrt.f32 u1)) (+.f32 (.f32 7/72 (sqrt.f32 u1)) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6)))) (sqrt.f32 u1)))) (pow.f32 u1 2)) (+.f32 (.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6))) (+.f32 (.f32 91/1296 (sqrt.f32 u1)) (+.f32 (.f32 7/216 (sqrt.f32 u1)) (.f32 (+.f32 (.f32 7/216 (pow.f32 (.f32 1 u1) 1/3)) (.f32 91/648 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6))))) (sqrt.f32 u1))) (.f32 2 (.f32 (+.f32 (.f32 1/18 (sqrt.f32 u1)) (+.f32 (.f32 7/72 (sqrt.f32 u1)) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6)))) (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1)))))) (pow.f32 u1 3)) u1)))
(pow.f32 (sqrt.f32 -1) 2)
(+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/6 (sqrt.f32 -1)) (.f32 1/3 (sqrt.f32 -1)))) u1)) (pow.f32 (sqrt.f32 -1) 2))
(+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/6 (sqrt.f32 -1)) (.f32 1/3 (sqrt.f32 -1)))) u1)) (+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3)))) (+.f32 (.f32 1/18 (sqrt.f32 -1)) (.f32 7/72 (sqrt.f32 -1))))) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (+.f32 (.f32 1/6 (sqrt.f32 -1)) (*.f32 1/3 (sqrt.f32 -1))) 2) (pow.f32 u1 2)) (pow.f32 (sqrt.f32 -1) 2))))
(+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/6 (sqrt.f32 -1)) (.f32 1/3 (sqrt.f32 -1)))) u1)) (+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3)))) (+.f32 (.f32 1/18 (sqrt.f32 -1)) (.f32 7/72 (sqrt.f32 -1))))) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (+.f32 (.f32 1/6 (sqrt.f32 -1)) (.f32 1/3 (sqrt.f32 -1))) 2) (pow.f32 u1 2)) (+.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (.f32 2 (/.f32 (.f32 (+.f32 (.f32 1/6 (sqrt.f32 -1)) (.f32 1/3 (sqrt.f32 -1))) (+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3)))) (+.f32 (.f32 1/18 (sqrt.f32 -1)) (.f32 7/72 (sqrt.f32 -1))))) (pow.f32 u1 3))) (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 91/648 (pow.f32 -1 1/3)) (.f32 7/216 (pow.f32 -1 1/3)))) (+.f32 (.f32 91/1296 (sqrt.f32 -1)) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))))) (*.f32 7/216 (sqrt.f32 -1)))))) (pow.f32 u1 3))))))))
(pow.f32 (sqrt.f32 -1) 2)
(+.f32 (.f32 -2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (.f32 -1/3 (sqrt.f32 -1)))) u1)) (pow.f32 (sqrt.f32 -1) 2))
(+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3)))) (+.f32 (.f32 1/18 (sqrt.f32 -1)) (.f32 7/72 (sqrt.f32 -1))))) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (.f32 -1/3 (sqrt.f32 -1))) 2) (pow.f32 u1 2)) (+.f32 (.f32 -2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (*.f32 -1/3 (sqrt.f32 -1)))) u1)) (pow.f32 (sqrt.f32 -1) 2))))
(+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3)))) (+.f32 (.f32 1/18 (sqrt.f32 -1)) (.f32 7/72 (sqrt.f32 -1))))) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (.f32 -1/3 (sqrt.f32 -1))) 2) (pow.f32 u1 2)) (+.f32 (.f32 -2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (.f32 -1/3 (sqrt.f32 -1)))) u1)) (+.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 -1 (/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3)))) (+.f32 (.f32 1/18 (sqrt.f32 -1)) (.f32 7/72 (sqrt.f32 -1)))) (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (.f32 -1/3 (sqrt.f32 -1))))) (.f32 2 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/6 (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))))) (+.f32 (.f32 -7/216 (sqrt.f32 -1)) (+.f32 (.f32 -91/1296 (sqrt.f32 -1)) (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 -7/216 (pow.f32 -1 1/3)) (.f32 -91/648 (pow.f32 -1 1/3)))))))))) (pow.f32 u1 3)))))))
(pow.f32 u1 1/6)
(+.f32 (.f32 1/6 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (pow.f32 u1 1/6))
(+.f32 (.f32 1/6 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (+.f32 (.f32 7/72 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (pow.f32 u1 1/6)))
(+.f32 (.f32 91/1296 (pow.f32 (.f32 1 (pow.f32 u1 19)) 1/6)) (+.f32 (.f32 1/6 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (+.f32 (.f32 7/72 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (pow.f32 u1 1/6))))
(pow.f32 -1 1/6)
(+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(+.f32 (.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(+.f32 (.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (.f32 91/1296 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(pow.f32 -1 1/6)
(+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(+.f32 (.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(+.f32 (.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (.f32 91/1296 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(.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 (.f32 (+.f32 (.f32 (sqrt.f32 u1) (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1)))) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (*.f32 1/6 (sqrt.f32 u1))) (sqrt.f32 u1))) u1) u1)
(fma.f32 (fma.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) 1/2) (.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) 1/2))) u1 u1)
(fma.f32 u1 (.f32 2 (.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)) 1/2)) u1)
(fma.f32 u1 u1 u1)
(+.f32 (.f32 (+.f32 (.f32 (sqrt.f32 u1) (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1)))) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) (sqrt.f32 u1))) u1) (+.f32 (.f32 (+.f32 (pow.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) 2) (.f32 2 (.f32 (+.f32 (.f32 1/18 (sqrt.f32 u1)) (+.f32 (.f32 7/72 (sqrt.f32 u1)) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6)))) (sqrt.f32 u1)))) (pow.f32 u1 2)) u1))
(fma.f32 (fma.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) 1/2) (.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) 1/2))) u1 (fma.f32 (+.f32 (pow.f32 (.f32 (sqrt.f32 u1) 1/2) 2) (.f32 2 (.f32 (sqrt.f32 u1) (fma.f32 1/18 (sqrt.f32 u1) (fma.f32 7/72 (sqrt.f32 u1) (.f32 (.f32 (cbrt.f32 u1) 2/9) (pow.f32 u1 1/6))))))) (*.f32 u1 u1) u1))
(fma.f32 u1 (.f32 2 (.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 u1)) 1/2)) (fma.f32 (fma.f32 2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (cbrt.f32 u1) (.f32 2/9 (pow.f32 u1 1/6))) (.f32 (sqrt.f32 u1) 11/72))) (pow.f32 (.f32 (sqrt.f32 u1) 1/2) 2)) (*.f32 u1 u1) u1))
(fma.f32 u1 u1 (fma.f32 (fma.f32 2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (pow.f32 (pow.f32 u1 1/6) 3) 2/9) (.f32 (sqrt.f32 u1) 11/72))) (.f32 u1 1/4)) (*.f32 u1 u1) u1))
(+.f32 (.f32 (+.f32 (.f32 (sqrt.f32 u1) (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1)))) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) (sqrt.f32 u1))) u1) (+.f32 (.f32 (+.f32 (pow.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) 2) (.f32 2 (.f32 (+.f32 (.f32 1/18 (sqrt.f32 u1)) (+.f32 (.f32 7/72 (sqrt.f32 u1)) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6)))) (sqrt.f32 u1)))) (pow.f32 u1 2)) (+.f32 (.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6))) (+.f32 (.f32 91/1296 (sqrt.f32 u1)) (+.f32 (.f32 7/216 (sqrt.f32 u1)) (.f32 (+.f32 (.f32 7/216 (pow.f32 (.f32 1 u1) 1/3)) (.f32 91/648 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6))))) (sqrt.f32 u1))) (.f32 2 (.f32 (+.f32 (.f32 1/18 (sqrt.f32 u1)) (+.f32 (.f32 7/72 (sqrt.f32 u1)) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6)))) (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1)))))) (pow.f32 u1 3)) u1)))
(fma.f32 (fma.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) 1/2) (.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) 1/2))) u1 (fma.f32 (+.f32 (pow.f32 (.f32 (sqrt.f32 u1) 1/2) 2) (.f32 2 (.f32 (sqrt.f32 u1) (fma.f32 1/18 (sqrt.f32 u1) (fma.f32 7/72 (sqrt.f32 u1) (.f32 (.f32 (cbrt.f32 u1) 2/9) (pow.f32 u1 1/6))))))) (.f32 u1 u1) (fma.f32 (.f32 2 (+.f32 (.f32 (sqrt.f32 u1) (fma.f32 1/6 (.f32 (.f32 (cbrt.f32 u1) 2/9) (pow.f32 u1 1/6)) (fma.f32 91/1296 (sqrt.f32 u1) (fma.f32 7/216 (sqrt.f32 u1) (.f32 (.f32 (cbrt.f32 u1) 14/81) (pow.f32 u1 1/6)))))) (.f32 (.f32 (sqrt.f32 u1) 1/2) (fma.f32 1/18 (sqrt.f32 u1) (fma.f32 7/72 (sqrt.f32 u1) (.f32 (*.f32 (cbrt.f32 u1) 2/9) (pow.f32 u1 1/6))))))) (pow.f32 u1 3) u1)))
(fma.f32 u1 (.f32 2 (.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 u1)) 1/2)) (fma.f32 (fma.f32 2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (cbrt.f32 u1) (.f32 2/9 (pow.f32 u1 1/6))) (.f32 (sqrt.f32 u1) 11/72))) (pow.f32 (.f32 (sqrt.f32 u1) 1/2) 2)) (.f32 u1 u1) (fma.f32 (.f32 2 (fma.f32 (sqrt.f32 u1) (fma.f32 1/6 (.f32 (cbrt.f32 u1) (.f32 2/9 (pow.f32 u1 1/6))) (+.f32 (.f32 (cbrt.f32 u1) (.f32 14/81 (pow.f32 u1 1/6))) (.f32 (sqrt.f32 u1) 133/1296))) (.f32 (.f32 (sqrt.f32 u1) 1/2) (+.f32 (.f32 (cbrt.f32 u1) (.f32 2/9 (pow.f32 u1 1/6))) (.f32 (sqrt.f32 u1) 11/72))))) (pow.f32 u1 3) u1)))
(fma.f32 u1 u1 (fma.f32 (fma.f32 2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (pow.f32 (pow.f32 u1 1/6) 3) 2/9) (.f32 (sqrt.f32 u1) 11/72))) (.f32 u1 1/4)) (.f32 u1 u1) (fma.f32 (.f32 2 (.f32 (sqrt.f32 u1) (+.f32 (fma.f32 1/6 (.f32 (pow.f32 (pow.f32 u1 1/6) 3) 2/9) (+.f32 (.f32 (pow.f32 (pow.f32 u1 1/6) 3) 14/81) (.f32 (sqrt.f32 u1) 133/1296))) (.f32 1/2 (+.f32 (.f32 (pow.f32 (pow.f32 u1 1/6) 3) 2/9) (*.f32 (sqrt.f32 u1) 11/72)))))) (pow.f32 u1 3) u1)))
(pow.f32 (sqrt.f32 -1) 2)
-1
(+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/6 (sqrt.f32 -1)) (.f32 1/3 (sqrt.f32 -1)))) u1)) (pow.f32 (sqrt.f32 -1) 2))
(fma.f32 2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 (sqrt.f32 -1) 1/2))) (pow.f32 (sqrt.f32 -1) 2))
(+.f32 -1 (/.f32 -1 u1))
(+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/6 (sqrt.f32 -1)) (.f32 1/3 (sqrt.f32 -1)))) u1)) (+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3)))) (+.f32 (.f32 1/18 (sqrt.f32 -1)) (.f32 7/72 (sqrt.f32 -1))))) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (+.f32 (.f32 1/6 (sqrt.f32 -1)) (*.f32 1/3 (sqrt.f32 -1))) 2) (pow.f32 u1 2)) (pow.f32 (sqrt.f32 -1) 2))))
(fma.f32 2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (.f32 (sqrt.f32 -1) 1/2))) (fma.f32 2 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (fma.f32 (pow.f32 -1 1/6) (.f32 (cbrt.f32 -1) 2/9) (.f32 (sqrt.f32 -1) 11/72)))) (+.f32 (pow.f32 (sqrt.f32 -1) 2) (/.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1/2) 2) (.f32 u1 u1)))))
(fma.f32 2 (/.f32 (fma.f32 (sqrt.f32 -1) (.f32 (.f32 (pow.f32 -1 1/6) (cbrt.f32 -1)) 2/9) -11/72) (.f32 u1 u1)) (+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1/4 (.f32 u1 u1)))))
(+.f32 (+.f32 -1 (/.f32 -1/4 (.f32 u1 u1))) (.f32 (/.f32 2 u1) (+.f32 -1/2 (/.f32 (fma.f32 (sqrt.f32 -1) (*.f32 (pow.f32 (pow.f32 -1 1/6) 3) 2/9) -11/72) u1))))
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(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 -1) 1/2) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (/.f32 (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)))))
(+.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 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)))))))
(+.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (/.f32 5/16 (pow.f32 u1 3)))) (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -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)))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (.f32 u2 u2) (+.f32 -98696044010906577398881/5000000000000000000000 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (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))))

eval1.1s (9.8%)

Compiler: Compiled 14113 to 11160 computations (20.9% saved)

prune264.0ms (2.4%)

Pruning

48 alts after pruning (44 fresh and 4 done)

	Pruned	Kept	Total
New	704	41	745
Fresh	19	3	22
Picked	1	0	1
Done	1	4	5
Total	725	48	773

Error

0.1b

Counts

773 → 48

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
	6.9b	(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
	1.5b	(.f32 (sqrt.f32 (pow.f32 (E.f32) (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.0b	(.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)))))))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (.f32 (.f32 3 (log.f32 (.f32 314159265359/50000000000 u2))) 1/3))))
	6.8b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	1.3b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	5.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)))
✓	6.8b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	1.3b	(.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 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
	2.4b	(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 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.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))))
	3.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (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))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.3b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
▶	2.4b	(sqrt.f32 (.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1))))
▶	12.1b	(sqrt.f32 u1)
	0.6b	(.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)))
	8.1b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	3.4b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
	2.5b	(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1))))
	1.7b	(.f32 (sqrt.f32 (pow.f32 (.f32 (pow.f32 u1 1/6) (pow.f32 (-.f32 1 u1) -1/6)) 6)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	8.2b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	4.1b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	9.4b	(sqrt.f32 (fma.f32 u1 u1 u1))
	1.7b	(.f32 (sqrt.f32 (pow.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12)) 6)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
	10.8b	(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
	2.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (E.f32) (log.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	6.6b	(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))))
	6.9b	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	2.3b	(.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 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	6.8b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
▶	7.0b	(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	9.7b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 1))
	6.9b	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))

Compiler

Compiled 1612 to 1308 computations (18.9% saved)

localize121.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 3 (log.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	0.4b	(.f32 (.f32 3 (log.f32 (*.f32 314159265359/50000000000 u2))) 1/3)
✓	1.4b	(exp.f32 (.f32 (.f32 3 (log.f32 (*.f32 314159265359/50000000000 u2))) 1/3))

Compiler

Compiled 80 to 64 computations (20% saved)

series73.0ms (0.7%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	u2	@	-inf	(.f32 (.f32 3 (log.f32 (*.f32 314159265359/50000000000 u2))) 1/3)
26.0ms	u2	@	0	(.f32 (.f32 3 (log.f32 (*.f32 314159265359/50000000000 u2))) 1/3)
6.0ms	u2	@	inf	(.f32 (.f32 3 (log.f32 (*.f32 314159265359/50000000000 u2))) 1/3)
1.0ms	u2	@	0	(.f32 3 (log.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u2	@	inf	(.f32 3 (log.f32 (.f32 314159265359/50000000000 u2)))

rewrite127.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

702×	`pow1_binary32`
657×	`add-log-exp_binary32`
656×	`log1p-expm1-u_binary32`
656×	`expm1-log1p-u_binary32`
647×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	199	19
2	2218	19

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

Inputs
(exp.f32 (.f32 (.f32 3 (log.f32 (*.f32 314159265359/50000000000 u2))) 1/3))
(.f32 (.f32 3 (log.f32 (*.f32 314159265359/50000000000 u2))) 1/3)
(.f32 3 (log.f32 (.f32 314159265359/50000000000 u2)))

Outputs

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

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

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

506×	`fma-neg_binary32`
389×	`fma-def_binary32`
131×	`cancel-sign-sub-inv_binary32`
127×	`distribute-rgt-in_binary32`
74×	`associate--r+_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	308
1	59	300
2	110	300
3	205	300
4	390	300
5	685	300
6	1109	300
7	1630	300
8	2025	300
9	2125	300
10	2131	300

Stop Event

1×

saturated

Counts

95 → 67

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 (log.f32 u2) (log.f32 314159265359/50000000000))
(+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))
(+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))
(+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u2))) (log.f32 314159265359/50000000000))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u2))) (log.f32 314159265359/50000000000))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u2))) (log.f32 314159265359/50000000000))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u2))) (log.f32 314159265359/50000000000))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 -314159265359/50000000000))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 -314159265359/50000000000))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 -314159265359/50000000000))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 -314159265359/50000000000))
(*.f32 3 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)))
(*.f32 3 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)))
(*.f32 3 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)))
(*.f32 3 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)))
(.f32 3 (+.f32 (log.f32 314159265359/50000000000) (.f32 -1 (log.f32 (/.f32 1 u2)))))
(.f32 3 (+.f32 (log.f32 314159265359/50000000000) (.f32 -1 (log.f32 (/.f32 1 u2)))))
(.f32 3 (+.f32 (log.f32 314159265359/50000000000) (.f32 -1 (log.f32 (/.f32 1 u2)))))
(.f32 3 (+.f32 (log.f32 314159265359/50000000000) (.f32 -1 (log.f32 (/.f32 1 u2)))))
(.f32 3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 -314159265359/50000000000)))
(.f32 3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 -314159265359/50000000000)))
(.f32 3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 -314159265359/50000000000)))
(.f32 3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 -314159265359/50000000000)))

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 (log.f32 u2) (log.f32 314159265359/50000000000))
(+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))
(+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))
(+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u2))) (log.f32 314159265359/50000000000))
(+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u2))) (log.f32 314159265359/50000000000))
(+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u2))) (log.f32 314159265359/50000000000))
(+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u2))) (log.f32 314159265359/50000000000))
(+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 -314159265359/50000000000))
(fma.f32 -1 (log.f32 (/.f32 -1 u2)) (log.f32 -314159265359/50000000000))
(-.f32 (log.f32 -314159265359/50000000000) (log.f32 (/.f32 -1 u2)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 -314159265359/50000000000))
(fma.f32 -1 (log.f32 (/.f32 -1 u2)) (log.f32 -314159265359/50000000000))
(-.f32 (log.f32 -314159265359/50000000000) (log.f32 (/.f32 -1 u2)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 -314159265359/50000000000))
(fma.f32 -1 (log.f32 (/.f32 -1 u2)) (log.f32 -314159265359/50000000000))
(-.f32 (log.f32 -314159265359/50000000000) (log.f32 (/.f32 -1 u2)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 -314159265359/50000000000))
(fma.f32 -1 (log.f32 (/.f32 -1 u2)) (log.f32 -314159265359/50000000000))
(-.f32 (log.f32 -314159265359/50000000000) (log.f32 (/.f32 -1 u2)))
(*.f32 3 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)))
(*.f32 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)) 3)
(*.f32 3 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)))
(*.f32 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)) 3)
(*.f32 3 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)))
(*.f32 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)) 3)
(*.f32 3 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)))
(*.f32 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)) 3)
(.f32 3 (+.f32 (log.f32 314159265359/50000000000) (.f32 -1 (log.f32 (/.f32 1 u2)))))
(*.f32 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)) 3)
(.f32 3 (+.f32 (log.f32 314159265359/50000000000) (.f32 -1 (log.f32 (/.f32 1 u2)))))
(*.f32 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)) 3)
(.f32 3 (+.f32 (log.f32 314159265359/50000000000) (.f32 -1 (log.f32 (/.f32 1 u2)))))
(*.f32 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)) 3)
(.f32 3 (+.f32 (log.f32 314159265359/50000000000) (.f32 -1 (log.f32 (/.f32 1 u2)))))
(*.f32 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)) 3)
(.f32 3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 -314159265359/50000000000)))
(*.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u2)) (log.f32 -314159265359/50000000000)) 3)
(*.f32 (-.f32 (log.f32 -314159265359/50000000000) (log.f32 (/.f32 -1 u2))) 3)
(.f32 3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 -314159265359/50000000000)))
(*.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u2)) (log.f32 -314159265359/50000000000)) 3)
(*.f32 (-.f32 (log.f32 -314159265359/50000000000) (log.f32 (/.f32 -1 u2))) 3)
(.f32 3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 -314159265359/50000000000)))
(*.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u2)) (log.f32 -314159265359/50000000000)) 3)
(*.f32 (-.f32 (log.f32 -314159265359/50000000000) (log.f32 (/.f32 -1 u2))) 3)
(.f32 3 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 -314159265359/50000000000)))
(*.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u2)) (log.f32 -314159265359/50000000000)) 3)
(*.f32 (-.f32 (log.f32 -314159265359/50000000000) (log.f32 (/.f32 -1 u2))) 3)

localize8.0ms (0.1%)

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

localize95.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f32 (-.f32 1 u1))
✓	0.3b	(/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))
✓	0.3b	(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series6.0ms (0.1%)

Counts

3 → 20

Calls

9 calls:

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

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`pow1_binary32`
842×	`add-log-exp_binary32`
842×	`log1p-expm1-u_binary32`
842×	`expm1-log1p-u_binary32`
820×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	178	24
2	2377	24

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

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

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

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

751×	`times-frac_binary32`
678×	`associate-l_binary32`
527×	`associate-/l*_binary32`
455×	`associate-*l/_binary32`
440×	`associate-/l/_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	454
1	243	443
2	708	417
3	2535	347

Stop Event

1×	node limit

Counts

112 → 125

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

localize60.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 59 to 45 computations (23.7% saved)

series7.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

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

rewrite102.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

569×	`log-prod_binary32`
332×	`pow-prod-down_binary32`
309×	`pow2_binary32`
283×	`prod-diff_binary32`
216×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	254	46
2	3100	46

Stop Event

1×	node limit

Counts

4 → 119

Calls

Call 1

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

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

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-def_binary32`
677×	`associate-/r*_binary32`
490×	`cancel-sign-sub-inv_binary32`
452×	`distribute-lft-out_binary32`
382×	`distribute-rgt-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1499
1	284	1426
2	860	1289
3	3523	1212

Stop Event

1×	node limit

Counts

191 → 174

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

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

localize121.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 49 computations (26.9% saved)

series6.0ms (0.1%)

Counts

2 → 32

Calls

9 calls:

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

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`log-prod_binary32`
337×	`pow2_binary32`
310×	`prod-diff_binary32`
237×	`pow1/3_binary32`
230×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	272	24
2	3507	24

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

simplify105.0ms (0.9%)

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

114 → 117

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))))

eval420.0ms (3.8%)

Compiler: Compiled 10393 to 8231 computations (20.8% saved)

prune372.0ms (3.3%)

Pruning

53 alts after pruning (45 fresh and 8 done)

	Pruned	Kept	Total
New	557	11	568
Fresh	5	34	39
Picked	0	1	1
Done	1	7	8
Total	563	53	616

Error

0.1b

Counts

616 → 53

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (-.f32 (+.f32 1 (.f32 314159265359/50000000000 u2)) 1)))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
▶	12.1b	(/.f32 1 (/.f32 1 (sqrt.f32 u1)))
	6.9b	(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
	1.5b	(.f32 (sqrt.f32 (pow.f32 (E.f32) (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.0b	(.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)))))))
	6.8b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	1.3b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	5.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)))
✓	6.8b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	1.3b	(.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)))))))
	6.9b	(/.f32 1 (-.f32 (+.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1))
	2.6b	(sqrt.f32 (.f32 u1 (-.f32 (exp.f32 (log1p.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)))) 1)))
▶	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (*.f32 314159265359/50000000000 (sqrt.f32 u2)) (sqrt.f32 u2))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.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))))
▶	0.5b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
	3.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (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))
	1.3b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
✓	2.4b	(sqrt.f32 (.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1))))
✓	12.1b	(sqrt.f32 u1)
	0.6b	(.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)))
▶	8.1b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	3.4b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
	2.5b	(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1))))
	1.7b	(.f32 (sqrt.f32 (pow.f32 (.f32 (pow.f32 u1 1/6) (pow.f32 (-.f32 1 u1) -1/6)) 6)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	8.2b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	4.1b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	9.4b	(sqrt.f32 (fma.f32 u1 u1 u1))
	1.7b	(.f32 (sqrt.f32 (pow.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12)) 6)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
	10.8b	(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
▶	2.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (E.f32) (log.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	6.9b	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	6.6b	(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))))
	6.9b	(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))
	6.9b	(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)
	6.8b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
✓	7.0b	(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 1))
	2.5b	(sqrt.f32 (.f32 u1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 314159265359/50000000000))))) (-.f32 1 u1))))
	9.7b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	9.1b	(/.f32 1 (/.f32 (+.f32 1 (*.f32 -1/2 u1)) (sqrt.f32 u1)))

Compiler

Compiled 1667 to 1355 computations (18.7% saved)

localize107.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))
✓	0.2b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
✓	0.3b	(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
	0.3b	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))

Compiler

Compiled 67 to 43 computations (35.8% saved)

series3.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`log-prod_binary32`
345×	`pow2_binary32`
337×	`prod-diff_binary32`
273×	`pow-unpow_binary32`
241×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	293	24
2	3545	24

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 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 (-.f32 1 u1) u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 (/.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 /.f32 (*.f32 u1 -1) (neg.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 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 u1 3) (pow.f32 (/.f32 1 (-.f32 1 u1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (/.f32 1 (-.f32 1 u1)) 3) (pow.f32 u1 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 1 u1) u1) -1)))) (#(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 cbrt.f32 (*.f32 (pow.f32 u1 3) (pow.f32 (/.f32 1 (-.f32 1 u1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (/.f32 1 (-.f32 1 u1)) 3) (pow.f32 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 (*.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 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 pow.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 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 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 cbrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 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 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))))))

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

759×	`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	99	796
1	279	745
2	850	679
3	3102	579
4	7034	579

Stop Event

1×	node limit

Counts

86 → 91

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

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 1 (sqrt.f32 u1))
✓	0.3b	(/.f32 1 (/.f32 1 (sqrt.f32 u1)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

421×	`pow1_binary32`
406×	`add-sqr-sqrt_binary32`
396×	`*-un-lft-identity_binary32`
392×	`add-log-exp_binary32`
392×	`log1p-expm1-u_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	125	7
2	1220	7

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

52 → 52

Calls

Call 1

Inputs

Outputs

localize28.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 14 computations (36.4% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`pow1_binary32`
648×	`add-log-exp_binary32`
648×	`log1p-expm1-u_binary32`
648×	`expm1-log1p-u_binary32`
633×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	158	11
2	1788	11

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify113.0ms (1%)

Algorithm

1×	egg-herbie

Rules

641×	`distribute-lft-out_binary32`
605×	`distribute-rgt-out_binary32`
470×	`fma-def_binary32`
457×	`*-commutative_binary32`
413×	`associate-+l+_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	178
1	65	170
2	167	158
3	548	153
4	2224	153
5	4377	153
6	4635	153
7	4960	153
8	5449	153
9	6150	153
10	6963	153

Stop Event

1×	node limit

Counts

25 → 22

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 u1))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 u1)))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 u1))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))

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

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 28 computations (33.3% saved)

series5.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`log-prod_binary32`
359×	`pow-prod-down_binary32`
310×	`pow2_binary32`
303×	`prod-diff_binary32`
217×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	249	25
2	3145	25

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	85	744
1	241	702
2	711	646
3	2714	544
4	6296	530

Stop Event

1×	node limit

Counts

104 → 101

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))))
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 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (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))))))
(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 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 (/.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 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (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 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))))))
(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 (.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 -3/8 u1) (/.f32 -5/16 (.f32 u1 u1))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 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) (.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))))
(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 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.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 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 (/.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)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (+.f32 (sqrt.f32 -1) (.f32 5/16 (/.f32 (sqrt.f32 -1) (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 (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 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 u2 (.f32 u2 -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 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)
(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)))
(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))

localize88.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (E.f32) (log.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.2b	(cos.f32 (*.f32 314159265359/50000000000 u2))
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	19.3b	(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))

Compiler

Compiled 55 to 39 computations (29.1% saved)

series112.0ms (1%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
42.0ms	u2	@	inf	(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
37.0ms	u2	@	-inf	(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
26.0ms	u2	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (E.f32) (log.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
2.0ms	u2	@	0	(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (E.f32) (log.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

605×	`log-prod_binary32`
334×	`pow2_binary32`
271×	`prod-diff_binary32`
252×	`pow-unpow_binary32`
242×	`pow-pow_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	291	25
2	3319	25

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

((#(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 (*.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))))))

simplify167.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

762×	`associate-*r/_binary32`
584×	`distribute-rgt-out_binary32`
559×	`distribute-rgt-in_binary32`
502×	`associate-/l/_binary32`
386×	`unswap-sqr_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	92	716
1	254	683
2	743	624
3	2905	524
4	6455	517

Stop Event

1×	node limit

Counts

81 → 88

Calls

Call 1

Inputs
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (.f32 -1613050272732846874652476385752590327546856214713072557700960917405627878185485322041973088657/98437500000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)))))
(.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 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)))
(fma.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))
(fma.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (.f32 -1613050272732846874652476385752590327546856214713072557700960917405627878185485322041973088657/98437500000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (.f32 -1613050272732846874652476385752590327546856214713072557700960917405627878185485322041973088657/98437500000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)))))
(.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))))
(.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 (+.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 (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 (+.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 (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) (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 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) u1) (.f32 (+.f32 1 (+.f32 -1/2 (.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 u1 3)))))))
(+.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (+.f32 (/.f32 (/.f32 -5/16 (sqrt.f32 -1)) (pow.f32 u1 3)) (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 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))) (.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1)) (+.f32 (/.f32 3/4 u1) (+.f32 (/.f32 5/8 (*.f32 u1 u1)) 1)))))
(.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 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 u2 314159265359/50000000000)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 1/2 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 u1 (sqrt.f32 -1)))))
(.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 (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 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(fma.f32 1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 u1 (sqrt.f32 -1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 u1 (sqrt.f32 -1))) (+.f32 (/.f32 3/8 u1) 1/2)))
(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 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))) (+.f32 (/.f32 1/2 u1) (+.f32 (/.f32 3/8 (.f32 u1 u1)) 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 (.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 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))))))
(fma.f32 1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 u1 (sqrt.f32 -1))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 5/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
(fma.f32 1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 u1 (sqrt.f32 -1))) (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 (/.f32 5/16 (.f32 u1 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 (+.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 (.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)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (fma.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 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 (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 (+.f32 (.f32 (pow.f32 u2 6) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (pow.f32 u2 6) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (fma.f32 (pow.f32 u2 6) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))
(.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))))

eval380.0ms (3.4%)

Compiler: Compiled 9814 to 7412 computations (24.5% saved)

prune201.0ms (1.8%)

Pruning

57 alts after pruning (46 fresh and 11 done)

	Pruned	Kept	Total
New	566	16	582
Fresh	10	30	40
Picked	0	1	1
Done	2	10	12
Total	578	57	635

Error

0.1b

Counts

635 → 57

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (-.f32 (+.f32 1 (.f32 314159265359/50000000000 u2)) 1)))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	3.8b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (+.f32 1 (*.f32 -1/2 u1)))
	9.1b	(/.f32 1 (/.f32 (+.f32 1 (*.f32 -1/2 u1)) (sqrt.f32 u1)))
	8.3b	(.f32 (sqrt.f32 u1) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	12.1b	(/.f32 1 (sqrt.f32 (/.f32 1 u1)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
	8.3b	(.f32 (sqrt.f32 u1) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
✓	12.1b	(/.f32 1 (/.f32 1 (sqrt.f32 u1)))
	1.5b	(.f32 (sqrt.f32 (pow.f32 (E.f32) (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	6.8b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	1.3b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	5.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)))
✓	6.8b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	1.3b	(.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)))))))
	6.9b	(/.f32 1 (-.f32 (+.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1))
	2.6b	(sqrt.f32 (.f32 u1 (-.f32 (exp.f32 (log1p.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)))) 1)))
✓	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
	8.2b	(.f32 (sqrt.f32 u1) (log1p.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	2.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (E.f32) (log1p.f32 (-.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
	0.5b	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))
✓	2.4b	(sqrt.f32 (.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1))))
✓	12.1b	(sqrt.f32 u1)
	12.1b	(cbrt.f32 (pow.f32 u1 3/2))
	0.6b	(.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)))
✓	8.1b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	12.1b	(/.f32 1 (pow.f32 u1 -1/2))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))
	1.7b	(.f32 (sqrt.f32 (pow.f32 (.f32 (pow.f32 u1 1/6) (pow.f32 (-.f32 1 u1) -1/6)) 6)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	8.2b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	4.1b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	9.4b	(sqrt.f32 (fma.f32 u1 u1 u1))
	1.7b	(.f32 (sqrt.f32 (pow.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12)) 6)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	3.4b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
	0.6b	(.f32 (pow.f32 (-.f32 1 u1) -1/2) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000))))
	0.5b	(.f32 (sqrt.f32 (.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
	10.8b	(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
✓	2.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (E.f32) (log.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	6.9b	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	6.6b	(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))))
	6.9b	(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))
	14.9b	(-.f32 (+.f32 1 (sqrt.f32 u1)) 1)
	6.9b	(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)
	6.8b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
✓	7.0b	(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	9.8b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
	9.7b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 1))
	2.5b	(sqrt.f32 (.f32 u1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 314159265359/50000000000))))) (-.f32 1 u1))))
	12.4b	(pow.f32 (pow.f32 u1 3/2) 1/3)
	1.3b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))

Compiler

Compiled 866 to 706 computations (18.5% saved)

regimes925.0ms (8.3%)

Counts

96 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(/.f32 1 (pow.f32 u1 -1/2))
(/.f32 1 (sqrt.f32 (/.f32 1 u1)))
(-.f32 (+.f32 1 (sqrt.f32 u1)) 1)
(/.f32 1 (/.f32 1 (sqrt.f32 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 1 (/.f32 (+.f32 1 (*.f32 -1/2 u1)) (sqrt.f32 u1)))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(/.f32 1 (-.f32 (+.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 u1 3/2))
(pow.f32 (pow.f32 u1 3/2) 1/3)
(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) (cos.f32 (.f32 314159265359/50000000000 u2)))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (+.f32 1 (*.f32 -1/2 u1)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.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 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (-.f32 (+.f32 1 (.f32 314159265359/50000000000 u2)) 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1) 1))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (.f32 u1 (/.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 314159265359/50000000000))))) (-.f32 1 u1))))
(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 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) 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) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))
(/.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)))
(.f32 (pow.f32 (-.f32 1 u1) -1/2) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(sqrt.f32 (.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1))))
(sqrt.f32 (.f32 (/.f32 u1 (-.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)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.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) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 u1) (log1p.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(.f32 (sqrt.f32 u1) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
(.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))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.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 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (*.f32 314159265359/50000000000 (sqrt.f32 u2)) (sqrt.f32 u2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (.f32 (.f32 3 (log.f32 (.f32 314159265359/50000000000 u2))) 1/3))))
(.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) (cos.f32 (*.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 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (E.f32) (log.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (E.f32) (log1p.f32 (-.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1))))
(.f32 (sqrt.f32 (exp.f32 (log.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)))))
(sqrt.f32 (.f32 u1 (-.f32 (exp.f32 (log1p.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)))) 1)))
(.f32 (sqrt.f32 (pow.f32 (.f32 (pow.f32 u1 1/6) (pow.f32 (-.f32 1 u1) -1/6)) 6)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (pow.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12)) 6)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (pow.f32 (E.f32) (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (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))
(.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 (/.f32 u1 (-.f32 1 u1))) (+.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))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.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))))
(.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)))))))
(.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 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))

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

Calls

11 calls:

130.0ms	(*.f32 314159265359/50000000000 u2)
124.0ms	(/.f32 u1 (-.f32 1 u1))
108.0ms	(*.f32 314159265359/50000000000 u2)
77.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
67.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`u1`
0.4b	1	`u2`
0.4b	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
0.4b	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
0.4b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.4b	1	`(/.f32 u1 (-.f32 1 u1))`
0.4b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
0.4b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
0.4b	1	`(*.f32 314159265359/50000000000 u2)`
0.4b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 1397 to 1052 computations (24.7% saved)

regimes214.0ms (1.9%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

8 calls:

38.0ms	(/.f32 u1 (-.f32 1 u1))
26.0ms	(*.f32 314159265359/50000000000 u2)
25.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
24.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
22.0ms	u2

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`u1`
0.4b	1	`u2`
0.4b	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
0.4b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.4b	1	`(/.f32 u1 (-.f32 1 u1))`
0.4b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
0.4b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 543 to 393 computations (27.6% saved)

regimes293.0ms (2.6%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

11 calls:

49.0ms	u1
48.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
26.0ms	(/.f32 u1 (-.f32 1 u1))
25.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
24.0ms	(*.f32 314159265359/50000000000 u2)

Results

Error	Segments	Branch
4.1b	1	`cosTheta_i`
2.7b	2	`u1`
1.9b	2	`u2`
2.7b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
2.7b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
2.7b	2	`(/.f32 u1 (-.f32 1 u1))`
2.7b	2	`(/.f32 u1 (-.f32 1 u1))`
1.9b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
1.9b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
1.9b	2	`(*.f32 314159265359/50000000000 u2)`
1.9b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 255 to 187 computations (26.7% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9838533997535706	0.9875642657279968

Compiler

Compiled 20 to 16 computations (20% saved)

regimes57.0ms (0.5%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	(/.f32 u1 (-.f32 1 u1))
11.0ms	u2
11.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
10.0ms	cosTheta_i
9.0ms	u1

Results

Error	Segments	Branch
4.1b	1	`cosTheta_i`
4.1b	1	`u1`
4.1b	1	`u2`
4.1b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
4.1b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 174 to 128 computations (26.4% saved)

regimes61.0ms (0.5%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	(/.f32 u1 (-.f32 1 u1))
9.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
9.0ms	cosTheta_i
8.0ms	u2
8.0ms	u1

Results

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

Compiler

Compiled 146 to 109 computations (25.3% saved)

regimes16.0ms (0.1%)

Accuracy

Total -2.9b remaining (-23.7%)

Threshold costs -2.9b (-23.7%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(sqrt.f32 u1)

Calls

3 calls:

6.0ms	u1
5.0ms	u2
4.0ms	cosTheta_i

Results

Error	Segments	Branch
12.1b	1	`cosTheta_i`
12.1b	1	`u1`
12.1b	1	`u2`

Compiler

Compiled 40 to 30 computations (25% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary32`
3×	`+-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	27	115
1	39	115
2	43	115
3	45	115
4	46	115

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 8262779/8388608) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 8262779/8388608) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(if (<=.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 8262779/8388608) (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)

Compiler

Compiled 93 to 72 computations (22.6% saved)

soundness0.0ms (0%)

end80.0ms (0.7%)

Compiler: Compiled 78 to 54 computations (30.8% saved)

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

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

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