Details

analyze159.0ms (1.8%)

Algorithm

1×

Search

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample2.1s (24.2%)

Results

2.1s	8256×	body	256	valid
1.0ms	6×	body	256	invalid

preprocess27.0ms (0.3%)

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	231	68
9	240	68
10	243	68
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	35	17
5	45	17
6	58	17
7	76	17
8	88	17
9	91	17
10	92	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)

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize46.0ms (0.5%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 39 to 27 computations (30.8% saved)

series15.0ms (0.2%)

Counts

4 → 40

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	228	37
2	2838	37

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

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

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

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

628×	`associate-/l/_binary32`
456×	`fma-def_binary32`
386×	`unswap-sqr_binary32`
307×	`associate-/r/_binary32`
299×	`times-frac_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	117	1012
1	347	952
2	1057	865
3	3707	720
4	6834	718

Stop Event

1×	node limit

Counts

193 → 201

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

eval92.0ms (1.1%)

Compiler: Compiled 3514 to 2770 computations (21.2% saved)

prune50.0ms (0.6%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	183	18	201
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	183	19	202

Error

0.0b

Counts

202 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
▶	6.3b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
▶	1.0b	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	4.5b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.4b	(.f32 (sqrt.f32 (.f32 u1 (/.f32 1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.8b	(.f32 (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	2.0b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
	0.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.4b	(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.9b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
▶	0.5b	(.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 596 to 477 computations (20% saved)

localize61.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.1b	(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
	0.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	0.1b	(cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))
✓	0.1b	(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
✓	0.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.4b	(.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
1.0ms	u2	@	0	(.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	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	271	28
2	3326	28

Stop Event

1×	node limit

Counts

3 → 71

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)))))
(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)))))

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

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

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

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

771×	`associate-*r/_binary32`
615×	`distribute-lft-out_binary32`
515×	`distribute-rgt-out_binary32`
501×	`associate-/l/_binary32`
432×	`*-commutative_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	83	778
1	228	745
2	668	686
3	2593	586
4	6183	572

Stop Event

1×	node limit

Counts

115 → 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))))
(*.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)

Outputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 (.f32 98696044010906577398881/2500000000000000000000 u2) u2)
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 (.f32 98696044010906577398881/2500000000000000000000 u2) u2)
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 (.f32 98696044010906577398881/2500000000000000000000 u2) u2)
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 (.f32 98696044010906577398881/2500000000000000000000 u2) u2)
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 (.f32 98696044010906577398881/2500000000000000000000 u2) u2)
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 (.f32 98696044010906577398881/2500000000000000000000 u2) u2)
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 (.f32 98696044010906577398881/2500000000000000000000 u2) u2)
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 (.f32 98696044010906577398881/2500000000000000000000 u2) u2)
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 (.f32 98696044010906577398881/2500000000000000000000 u2) u2)
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 (.f32 98696044010906577398881/2500000000000000000000 u2) u2)
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 (.f32 98696044010906577398881/2500000000000000000000 u2) u2)
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 (.f32 98696044010906577398881/2500000000000000000000 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 (/.f32 -1/2 (sqrt.f32 -1)) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 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 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 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 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 u1 u1))) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 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 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 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 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) u1) (.f32 (+.f32 1 (+.f32 -1/2 (.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 u1 3)))))))
(+.f32 (.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 (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 (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 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (.f32 (sqrt.f32 -1) 1/2) (/.f32 u1 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(.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 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 u2 314159265359/50000000000)))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 3/8 (/.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 u2 314159265359/50000000000)))) u1))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) u1) (sqrt.f32 -1)) (+.f32 1/2 (/.f32 3/8 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 (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 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 u2 314159265359/50000000000)))) (fma.f32 3/8 (/.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 u2 314159265359/50000000000)))) u1) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (*.f32 u2 314159265359/50000000000))))))))
(fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) u1) (sqrt.f32 -1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (.f32 (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 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))) (+.f32 (sqrt.f32 -1) (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000 1))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (fma.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000 (*.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 (.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 (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000 (.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 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 -314159265359/50000000000)))
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

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

0 → 0

Calls

Call 1

Inputs

Outputs

localize82.0ms (0.9%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 50 to 37 computations (26% saved)

series4.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

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

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`log-prod_binary32`
358×	`pow-prod-down_binary32`
305×	`pow2_binary32`
276×	`prod-diff_binary32`
216×	`pow-unpow_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	252	31
2	3084	31

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

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

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

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

750×	`associate-*r/_binary32`
520×	`associate-/l/_binary32`
376×	`fma-def_binary32`
292×	`associate-/r/_binary32`
291×	`fma-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	979
1	306	912
2	958	844
3	3437	743
4	7685	743

Stop Event

1×	node limit

Counts

136 → 141

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

localize90.0ms (1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
	0.2b	(/.f32 u1 (-.f32 1 u1))
	0.1b	(.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.1b	(cos.f32 (*.f32 314159265359/50000000000 u2))
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.4b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)

Compiler

Compiled 50 to 36 computations (28% saved)

series25.0ms (0.3%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	u1	@	0	(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
4.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
3.0ms	u1	@	0	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
1.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
1.0ms	u1	@	inf	(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))

rewrite48.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

829×	`pow1_binary32`
785×	`add-log-exp_binary32`
784×	`log1p-expm1-u_binary32`
784×	`expm1-log1p-u_binary32`
768×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	174	18
2	2185	18

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

727×	`distribute-rgt-in_binary32`
711×	`distribute-lft-in_binary32`
526×	`fma-def_binary32`
344×	`associate-l_binary32`
323×	`associate-r_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	711
1	360	654
2	1184	584
3	4943	567

Stop Event

1×	node limit

Counts

61 → 71

Calls

Call 1

Inputs
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (.f32 -1/2 (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 1 u1))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 1 u1))) (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/8 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3)) (.f32 3/4 (+.f32 (.f32 2/3 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (.f32 -1/9 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3)))))) (pow.f32 u1 2))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 1 u1))) (+.f32 (/.f32 (.f32 (+.f32 (.f32 1/8 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3)) (.f32 3/4 (+.f32 (.f32 2/3 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (.f32 -1/9 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (/.f32 (.f32 (sqrt.f32 -1) (-.f32 (+.f32 (.f32 1/4 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 14)) 1/3) (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) (+.f32 (.f32 2/27 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (.f32 -2 (-.f32 (.f32 1/27 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) 1)))))) (.f32 -3/8 (.f32 (+.f32 (.f32 2/3 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (.f32 -1/9 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3))) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3)))) (*.f32 1/48 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))))) (pow.f32 u1 3)))))
(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)))))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (.f32 -1/3 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 1/27 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) 1)) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3)))) (.f32 -1/3 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (*.f32 1/3 (/.f32 (cbrt.f32 -1) u1)))
(+.f32 (.f32 2/9 (/.f32 (cbrt.f32 -1) (pow.f32 u1 2))) (+.f32 (cbrt.f32 -1) (.f32 1/3 (/.f32 (cbrt.f32 -1) u1))))
(+.f32 (.f32 14/81 (/.f32 (cbrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 2/9 (/.f32 (cbrt.f32 -1) (pow.f32 u1 2))) (+.f32 (cbrt.f32 -1) (*.f32 1/3 (/.f32 (cbrt.f32 -1) u1)))))

Outputs
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (.f32 -1/2 (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 1 u1))))
(+.f32 (sqrt.f32 -1) (.f32 (.f32 -1/2 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6)) (/.f32 1 u1)))
(fma.f32 -1/2 (/.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) u1) (sqrt.f32 -1))
(fma.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 -1/2 u1) (sqrt.f32 -1))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 1 u1))) (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/8 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3)) (.f32 3/4 (+.f32 (.f32 2/3 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (.f32 -1/9 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3)))))) (pow.f32 u1 2))))
(+.f32 (sqrt.f32 -1) (fma.f32 -1/2 (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 1 u1)) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (fma.f32 1/8 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) (.f32 3/4 (fma.f32 2/3 (+.f32 1 (.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) -1/9))))))))
(+.f32 (fma.f32 -1/2 (/.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) u1) (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 1/8 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) (+.f32 (.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) 1/2) (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) -1/12))) u1)))
(fma.f32 -1/2 (/.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) u1) (fma.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 3/4 (fma.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 2/9 2/3) (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) 1/24)) u1) (sqrt.f32 -1)))
(fma.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 3/4 (fma.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 2/9 2/3) (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) 1/24)) u1) (fma.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 -1/2 u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 1 u1))) (+.f32 (/.f32 (.f32 (+.f32 (.f32 1/8 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3)) (.f32 3/4 (+.f32 (.f32 2/3 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (.f32 -1/9 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (/.f32 (.f32 (sqrt.f32 -1) (-.f32 (+.f32 (.f32 1/4 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 14)) 1/3) (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) (+.f32 (.f32 2/27 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (.f32 -2 (-.f32 (.f32 1/27 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) 1)))))) (.f32 -3/8 (.f32 (+.f32 (.f32 2/3 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (.f32 -1/9 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3))) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3)))) (*.f32 1/48 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))))) (pow.f32 u1 3)))))
(+.f32 (sqrt.f32 -1) (+.f32 (fma.f32 -1/2 (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 1 u1)) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (fma.f32 1/8 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) (.f32 3/4 (fma.f32 2/3 (+.f32 1 (.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) -1/9))))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (-.f32 (fma.f32 1/4 (fma.f32 -2/3 (.f32 (+.f32 1 (.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 14)))) (+.f32 (/.f32 2/27 (pow.f32 (cbrt.f32 -1) 2)) (.f32 -2 (-.f32 (/.f32 1/27 (pow.f32 (cbrt.f32 -1) 2)) (fma.f32 2/3 (.f32 (+.f32 1 (.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) 1))))) (.f32 -3/8 (.f32 (fma.f32 2/3 (+.f32 1 (.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) -1/9)) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))))) (/.f32 1/48 (pow.f32 (cbrt.f32 -1) 5)))))))
(+.f32 (sqrt.f32 -1) (+.f32 (fma.f32 -1/2 (/.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) u1) (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 1/8 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) (+.f32 (.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) 1/2) (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) -1/12))) u1))) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 1/4 (fma.f32 -2/3 (.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 14)))) (fma.f32 -2 (-.f32 (/.f32 1/27 (pow.f32 (cbrt.f32 -1) 2)) (fma.f32 2/3 (.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) 1)) (/.f32 2/27 (pow.f32 (cbrt.f32 -1) 2)))) (fma.f32 -3/8 (.f32 (fma.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) -1/9 (+.f32 2/3 (.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 2/9))) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) (/.f32 -1/48 (pow.f32 (cbrt.f32 -1) 5)))))))
(+.f32 (fma.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 -1/2 u1) (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (/.f32 (fma.f32 1/4 (fma.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (.f32 -2/3 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 14)))) (fma.f32 -2 (-.f32 (/.f32 1/27 (pow.f32 (cbrt.f32 -1) 2)) (fma.f32 (fma.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 2/9 2/3) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))) 1)) (/.f32 2/27 (pow.f32 (cbrt.f32 -1) 2)))) (fma.f32 (fma.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) -1/9 (fma.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 2/9 2/3)) (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))) -3/8) (/.f32 -1/48 (pow.f32 (cbrt.f32 -1) 5)))) u1) (fma.f32 3/4 (fma.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 2/9 2/3) (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) 1/24)))))
(+.f32 (fma.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 -1/2 u1) (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (fma.f32 3/4 (fma.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 2/9 2/3) (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) 1/24)) (/.f32 (fma.f32 1/4 (fma.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 14))) (neg.f32 (fma.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 2/9 2/3)) (+.f32 (.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 0) (.f32 2 (fma.f32 (fma.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 2/9 2/3) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))) 1)))) (fma.f32 (fma.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10))) -1/9 (fma.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 2/9 2/3)) (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))) -3/8) (/.f32 -1/48 (pow.f32 (cbrt.f32 -1) 5)))) u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (/.f32 (*.f32 1/2 (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 (.f32 1/2 (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 (/.f32 3/8 u1) 1/2)))
(+.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 (.f32 1/2 (sqrt.f32 -1)) u1))))
(+.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (/.f32 5/16 (/.f32 (pow.f32 u1 3) (sqrt.f32 -1)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (sqrt.f32 -1)))
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) 1/2)))
(+.f32 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) (+.f32 1/2 (/.f32 5/16 (.f32 u1 u1))))))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))
(+.f32 (cbrt.f32 -1) (.f32 -1/3 (.f32 (/.f32 1 u1) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))))))
(fma.f32 -1/3 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1) (cbrt.f32 -1))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (.f32 -1/3 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))))
(fma.f32 -1/3 (/.f32 (+.f32 1 (.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (cbrt.f32 -1) (.f32 -1/3 (*.f32 (/.f32 1 u1) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))))))
(fma.f32 -1/3 (/.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (.f32 u1 (.f32 u1 (pow.f32 (cbrt.f32 -1) 2)))) (fma.f32 -1/3 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1) (cbrt.f32 -1)))
(fma.f32 -1/3 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1) (fma.f32 -1/3 (/.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (.f32 u1 (.f32 u1 (pow.f32 (cbrt.f32 -1) 2)))) (cbrt.f32 -1)))
(+.f32 (cbrt.f32 -1) (.f32 (/.f32 -1/3 u1) (+.f32 (/.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (.f32 u1 (pow.f32 (cbrt.f32 -1) 2))) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))))))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 1/27 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) 1)) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3)))) (.f32 -1/3 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))))
(fma.f32 -1/3 (/.f32 (+.f32 1 (.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (cbrt.f32 -1) (fma.f32 1/3 (/.f32 (-.f32 (/.f32 1/27 (pow.f32 (cbrt.f32 -1) 2)) (fma.f32 2/3 (.f32 (+.f32 1 (.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) 1)) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3))) (.f32 -1/3 (.f32 (/.f32 1 u1) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))))))))
(+.f32 (fma.f32 1/3 (/.f32 (-.f32 (/.f32 1/27 (pow.f32 (cbrt.f32 -1) 2)) (fma.f32 2/3 (.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) 1)) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3))) (/.f32 (.f32 -1/3 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))) u1)) (fma.f32 -1/3 (/.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (.f32 u1 (*.f32 u1 (pow.f32 (cbrt.f32 -1) 2)))) (cbrt.f32 -1)))
(fma.f32 -1/3 (/.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (.f32 u1 (.f32 u1 (pow.f32 (cbrt.f32 -1) 2)))) (fma.f32 (/.f32 1/3 (pow.f32 (cbrt.f32 -1) 2)) (/.f32 (-.f32 (/.f32 1/27 (pow.f32 (cbrt.f32 -1) 2)) (fma.f32 (fma.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 2/9 2/3) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))) 1)) (pow.f32 u1 3)) (fma.f32 -1/3 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1) (cbrt.f32 -1))))
(+.f32 (fma.f32 1/3 (/.f32 (-.f32 (/.f32 1/27 (pow.f32 (cbrt.f32 -1) 2)) (fma.f32 (fma.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 2/9 2/3) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))) 1)) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3))) (cbrt.f32 -1)) (.f32 (/.f32 -1/3 u1) (+.f32 (/.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (*.f32 u1 (pow.f32 (cbrt.f32 -1) 2))) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))))))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (*.f32 1/3 (/.f32 (cbrt.f32 -1) u1)))
(fma.f32 1/3 (/.f32 (cbrt.f32 -1) u1) (cbrt.f32 -1))
(+.f32 (.f32 2/9 (/.f32 (cbrt.f32 -1) (pow.f32 u1 2))) (+.f32 (cbrt.f32 -1) (.f32 1/3 (/.f32 (cbrt.f32 -1) u1))))
(fma.f32 2/9 (/.f32 (cbrt.f32 -1) (.f32 u1 u1)) (+.f32 (cbrt.f32 -1) (.f32 1/3 (/.f32 (cbrt.f32 -1) u1))))
(fma.f32 2/9 (/.f32 (cbrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/3 (/.f32 (cbrt.f32 -1) u1) (cbrt.f32 -1)))
(+.f32 (cbrt.f32 -1) (*.f32 (/.f32 (cbrt.f32 -1) u1) (+.f32 1/3 (/.f32 2/9 u1))))
(+.f32 (.f32 14/81 (/.f32 (cbrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 2/9 (/.f32 (cbrt.f32 -1) (pow.f32 u1 2))) (+.f32 (cbrt.f32 -1) (*.f32 1/3 (/.f32 (cbrt.f32 -1) u1)))))
(fma.f32 14/81 (/.f32 (cbrt.f32 -1) (pow.f32 u1 3)) (fma.f32 2/9 (/.f32 (cbrt.f32 -1) (.f32 u1 u1)) (+.f32 (cbrt.f32 -1) (.f32 1/3 (/.f32 (cbrt.f32 -1) u1)))))
(fma.f32 14/81 (/.f32 (cbrt.f32 -1) (pow.f32 u1 3)) (fma.f32 2/9 (/.f32 (cbrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/3 (/.f32 (cbrt.f32 -1) u1) (cbrt.f32 -1))))
(+.f32 (fma.f32 1/3 (/.f32 (cbrt.f32 -1) u1) (cbrt.f32 -1)) (.f32 (/.f32 (cbrt.f32 -1) (.f32 u1 u1)) (+.f32 2/9 (/.f32 14/81 u1))))
(+.f32 (cbrt.f32 -1) (.f32 (/.f32 (cbrt.f32 -1) u1) (+.f32 (/.f32 2/9 u1) (+.f32 1/3 (/.f32 14/81 (.f32 u1 u1))))))

localize70.0ms (0.8%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f32 u1 (-.f32 1 u1))
	0.1b	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.1b	(log.f32 (/.f32 u1 (-.f32 1 u1)))
	0.1b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.1b	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.2b	(/.f32 u1 (-.f32 1 u1))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.9b	(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))

Compiler

Compiled 60 to 44 computations (26.7% saved)

series6.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

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

rewrite122.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`log-prod_binary32`
346×	`pow2_binary32`
272×	`prod-diff_binary32`
241×	`pow1/3_binary32`
238×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	283	26
2	3398	26

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs

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

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

600×	`fma-neg_binary32`
507×	`times-frac_binary32`
460×	`fma-def_binary32`
382×	`associate-/r*_binary32`
352×	`associate-/r/_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	97	970
1	314	922
2	1033	844
3	4725	763
4	7688	759

Stop Event

1×	node limit

Counts

121 → 118

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

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

eval421.0ms (4.8%)

Compiler: Compiled 15469 to 12226 computations (21% saved)

prune170.0ms (2%)

Pruning

37 alts after pruning (34 fresh and 3 done)

	Pruned	Kept	Total
New	818	30	848
Fresh	9	4	13
Picked	1	0	1
Done	2	3	5
Total	830	37	867

Error

0.0b

Counts

867 → 37

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.5b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
	6.8b	(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	6.3b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	6.5b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
	8.4b	(.f32 (pow.f32 (cbrt.f32 u1) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
	6.4b	(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
	6.3b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(.f32 (sqrt.f32 (.f32 u1 (/.f32 1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	6.4b	(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
	6.4b	(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
	2.0b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
	0.4b	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.9b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
▶	0.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	11.7b	(sqrt.f32 u1)
	0.4b	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	4.4b	(.f32 (pow.f32 (-.f32 (+.f32 1 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	9.2b	(sqrt.f32 (fma.f32 u1 u1 u1))
▶	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))
	2.4b	(.f32 (pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.3b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	0.6b	(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	7.0b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
	1.5b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	7.0b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
	6.3b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	0.8b	(.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 u1 (.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	4.6b	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))

Compiler

Compiled 1095 to 887 computations (19% saved)

localize54.0ms (0.6%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 42 to 33 computations (21.4% saved)

series9.0ms (0.1%)

Counts

3 → 35

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	inf	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
1.0ms	u2	@	inf	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	0	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
1.0ms	u1	@	0	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary32`
405×	`exp-prod_binary32`
303×	`pow2_binary32`
292×	`pow-prod-down_binary32`
221×	`prod-diff_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	255	35
2	3010	35

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

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

Outputs

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

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

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

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

630×	`associate-/l/_binary32`
417×	`times-frac_binary32`
412×	`fma-def_binary32`
300×	`associate-/r/_binary32`
272×	`div-sub_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	996
1	306	935
2	945	831
3	4045	681
4	7066	681

Stop Event

1×	node limit

Counts

137 → 137

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 1 u1)
-1
-1
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(+.f32 (.f32 5/16 (sqrt.f32 (pow.f32 u1 7))) (+.f32 (sqrt.f32 u1) (+.f32 (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))

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 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 (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 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.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 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 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (.f32 (/.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)))))))
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(+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 -1/2 u1) (+.f32 (/.f32 -3/8 (*.f32 u1 u1)) (/.f32 -5/16 (pow.f32 u1 3))))))
(+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 -1/2 u1) (-.f32 (/.f32 -5/16 (pow.f32 u1 3)) (/.f32 3/8 (*.f32 u1 u1))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 (sqrt.f32 -1)) 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 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 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.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 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (.f32 (/.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)))))))
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(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))
(sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1))))
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(+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (pow.f32 u2 6)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (pow.f32 u2 4)))))
(+.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1))))))
(fma.f32 (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))
(.f32 (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(/.f32 1 u1)
-1
-1
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))
(fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))
(fma.f32 1/2 (pow.f32 u1 3/2) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(+.f32 (sqrt.f32 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(+.f32 (sqrt.f32 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (fabs.f32 (pow.f32 u1 5/2)))))
(fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 3/8 (pow.f32 u1 5/2) (sqrt.f32 u1)))
(+.f32 (.f32 5/16 (sqrt.f32 (pow.f32 u1 7))) (+.f32 (sqrt.f32 u1) (+.f32 (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))))
(fma.f32 5/16 (sqrt.f32 (pow.f32 u1 7)) (+.f32 (sqrt.f32 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))))
(+.f32 (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (fabs.f32 (pow.f32 u1 5/2)))) (fma.f32 5/16 (sqrt.f32 (pow.f32 u1 7)) (sqrt.f32 u1)))
(fma.f32 5/16 (pow.f32 u1 7/2) (fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 3/8 (pow.f32 u1 5/2) (sqrt.f32 u1))))
(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 1/2 (/.f32 (sqrt.f32 -1) u1) (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 -1)))
(+.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 5/16 (.f32 u1 u1)) (+.f32 1/2 (/.f32 3/8 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 1/2 (/.f32 (sqrt.f32 -1) u1) (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 -1)))
(+.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 5/16 (.f32 u1 u1)) (+.f32 1/2 (/.f32 3/8 u1)))))

localize7.0ms (0.1%)

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

localize35.0ms (0.4%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.4b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
	0.2b	(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
	0.2b	(/.f32 u1 (-.f32 1 u1))
	0.2b	(/.f32 u1 (-.f32 1 u1))
	0.2b	(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
	0.4b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)

Compiler

Compiled 28 to 20 computations (28.6% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize68.0ms (0.8%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	0.1b	(/.f32 u1 (-.f32 1 (*.f32 u1 u1)))
	0.1b	(cos.f32 (*.f32 314159265359/50000000000 u2))
	0.0b	(-.f32 1 (*.f32 u1 u1))
✓	0.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
✓	0.1b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.3b	(.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))

Compiler

Compiled 72 to 42 computations (41.7% saved)

series10.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	u2	@	inf	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	-inf	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	0	(.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))

rewrite86.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	307	33
2	4159	33

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

454×	`fma-def_binary32`
416×	`unswap-sqr_binary32`
402×	`associate-/r/_binary32`
373×	`times-frac_binary32`
305×	`fma-neg_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	117	1176
1	352	1051
2	1094	956
3	4063	870
4	6635	867

Stop Event

1×	node limit

Counts

185 → 195

Calls

Call 1

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

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

localize83.0ms (1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f32 u1 (-.f32 1 u1))
	0.1b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.1b	(cos.f32 (*.f32 314159265359/50000000000 u2))
	0.0b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)
✓	0.1b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.2b	(/.f32 u1 (-.f32 1 u1))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.5b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)

Compiler

Compiled 54 to 40 computations (25.9% saved)

series6.0ms (0.1%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	0	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
1.0ms	u1	@	inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
1.0ms	u1	@	-inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
0.0ms	u1	@	0	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	inf	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`log-prod_binary32`
344×	`pow2_binary32`
271×	`prod-diff_binary32`
236×	`pow1/3_binary32`
235×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	300	26
2	3481	26

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))

Outputs

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

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

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

595×	`fma-def_binary32`
469×	`times-frac_binary32`
299×	`associate-/r*_binary32`
279×	`associate-/l*_binary32`
279×	`distribute-lft-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1015
1	366	923
2	1206	838
3	5558	744

Stop Event

1×	node limit

Counts

81 → 80

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))
(+.f32 (.f32 (+.f32 (.f32 1/16 (sqrt.f32 u1)) (.f32 5/16 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (.f32 1/2 (sqrt.f32 (pow.f32 u1 3)))))
(+.f32 (.f32 (+.f32 (.f32 5/64 (sqrt.f32 u1)) (.f32 15/64 (sqrt.f32 u1))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 (.f32 1/16 (sqrt.f32 u1)) (.f32 5/16 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -5/64 (sqrt.f32 -1)) (.f32 -15/64 (sqrt.f32 -1))) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

Outputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))
(fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))
(fma.f32 1/2 (pow.f32 u1 3/2) (sqrt.f32 u1))
(+.f32 (.f32 (+.f32 (.f32 1/16 (sqrt.f32 u1)) (.f32 5/16 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (.f32 1/2 (sqrt.f32 (pow.f32 u1 3)))))
(fma.f32 (.f32 (sqrt.f32 u1) 3/8) (.f32 u1 u1) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3)))))
(fma.f32 (.f32 (sqrt.f32 u1) 3/8) (.f32 u1 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1)))
(fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 u1 (.f32 (.f32 u1 (sqrt.f32 u1)) 3/8) (sqrt.f32 u1)))
(fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 u1 (*.f32 (pow.f32 u1 3/2) 3/8) (sqrt.f32 u1)))
(+.f32 (.f32 (+.f32 (.f32 5/64 (sqrt.f32 u1)) (.f32 15/64 (sqrt.f32 u1))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 (.f32 1/16 (sqrt.f32 u1)) (.f32 5/16 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))))
(fma.f32 (.f32 (sqrt.f32 u1) 5/16) (pow.f32 u1 3) (fma.f32 (.f32 (sqrt.f32 u1) 3/8) (.f32 u1 u1) (+.f32 (sqrt.f32 u1) (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))))
(fma.f32 (pow.f32 u1 3) (.f32 (sqrt.f32 u1) 5/16) (fma.f32 (.f32 (sqrt.f32 u1) 3/8) (*.f32 u1 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))))
(+.f32 (fma.f32 1/2 (pow.f32 u1 3/2) (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 u1 u1) 3/8) (.f32 (pow.f32 u1 3) 5/16))))
(+.f32 (fma.f32 1/2 (pow.f32 u1 3/2) (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) (.f32 (.f32 u1 u1) (+.f32 3/8 (.f32 u1 5/16)))))
(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 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (sqrt.f32 -1) (fma.f32 1/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(fma.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) 3/8 (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(fma.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8 (.f32 (+.f32 (/.f32 1/2 u1) 1) (sqrt.f32 -1)))
(+.f32 (.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))))
(fma.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (sqrt.f32 -1) (fma.f32 5/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))))
(fma.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (.f32 5/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) 3/8) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))))
(+.f32 (fma.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8 (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 5/64 (*.f32 u1 u1))))) (fma.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)))
(+.f32 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (/.f32 5/16 u1) 3/8)) (*.f32 (+.f32 (/.f32 1/2 u1) 1) (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 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (sqrt.f32 -1) (fma.f32 1/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(fma.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) 3/8 (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(fma.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8 (.f32 (+.f32 (/.f32 1/2 u1) 1) (sqrt.f32 -1)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -5/64 (sqrt.f32 -1)) (.f32 -15/64 (sqrt.f32 -1))) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))))
(fma.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (sqrt.f32 -1) (fma.f32 5/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))))
(fma.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (.f32 5/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) 3/8) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))))
(+.f32 (fma.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8 (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 5/64 (*.f32 u1 u1))))) (fma.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)))
(+.f32 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (/.f32 5/16 u1) 3/8)) (*.f32 (+.f32 (/.f32 1/2 u1) 1) (sqrt.f32 -1)))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2) (.f32 u1 (sqrt.f32 -1))))
(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 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2) (*.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 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (/.f32 (+.f32 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 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (pow.f32 u1 3)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (/.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))) (fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 (-.f32 1 (fma.f32 1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) 1/2)) (pow.f32 u1 3)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 u1 u1) (sqrt.f32 -1))) (+.f32 (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) u1) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2) (.f32 u1 (sqrt.f32 -1))))
(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 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(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 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2) (*.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 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(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 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (pow.f32 u1 3)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (/.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))) (fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 (-.f32 1 (fma.f32 1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) 1/2)) (pow.f32 u1 3)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 u1 u1) (sqrt.f32 -1))) (+.f32 (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) u1) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 6)))))
(+.f32 (.f32 (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1)))
(.f32 (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))))

eval379.0ms (4.4%)

Compiler: Compiled 13837 to 10781 computations (22.1% saved)

prune751.0ms (8.6%)

Pruning

41 alts after pruning (34 fresh and 7 done)

	Pruned	Kept	Total
New	686	13	699
Fresh	8	21	29
Picked	1	0	1
Done	0	7	7
Total	695	41	736

Error

0.0b

Counts

736 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	6.5b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
	6.8b	(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	7.0b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
	10.3b	(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
✓	6.3b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	8.4b	(.f32 (pow.f32 (cbrt.f32 u1) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
	6.4b	(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
▶	6.3b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(.f32 (sqrt.f32 (.f32 u1 (/.f32 1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	6.4b	(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
	6.4b	(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
▶	0.4b	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	11.8b	(pow.f32 (cbrt.f32 u1) 3/2)
✓	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	11.7b	(sqrt.f32 u1)
	0.4b	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.3b	(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
	0.8b	(.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	4.4b	(.f32 (pow.f32 (-.f32 (+.f32 1 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	9.2b	(sqrt.f32 (fma.f32 u1 u1 u1))
▶	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.0b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/3) 3/2)
	8.3b	(.f32 (pow.f32 (/.f32 1 u1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 u1 (.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	2.4b	(.f32 (pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.3b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	8.4b	(.f32 (pow.f32 (pow.f32 u1 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
	1.5b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
▶	3.3b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
	2.0b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
	6.3b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	2.9b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
	4.6b	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))

Compiler

Compiled 1140 to 928 computations (18.6% saved)

localize59.0ms (0.7%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 51 to 41 computations (19.6% saved)

series5.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

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

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`log-prod_binary32`
328×	`pow-prod-down_binary32`
322×	`pow2_binary32`
224×	`pow1/3_binary32`
222×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	267	34
2	3170	34

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

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

Outputs

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

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

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

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

591×	`associate-/l/_binary32`
406×	`fma-def_binary32`
388×	`times-frac_binary32`
323×	`fma-neg_binary32`
278×	`div-sub_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	975
1	288	906
2	952	831
3	4082	687
4	7464	687

Stop Event

1×	node limit

Counts

163 → 154

Calls

Call 1

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

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

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 21 to 17 computations (19% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize64.0ms (0.7%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 22 to 14 computations (36.4% saved)

series5.0ms (0.1%)

Counts

2 → 16

Calls

9 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)))

rewrite57.0ms (0.7%)

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	17
1	158	17
2	1788	17

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

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

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) 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))) (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 (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 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))))))))

simplify121.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1031×	`distribute-rgt-in_binary32`
602×	`fma-def_binary32`
551×	`sqr-pow_binary32`
509×	`distribute-rgt-out_binary32`
455×	`associate-l_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	228
1	89	212
2	223	202
3	702	197
4	2535	197
5	4572	197
6	5763	197
7	6057	197
8	6274	197
9	6547	197
10	6884	197
11	7311	197

Stop Event

1×	node limit

Counts

45 → 45

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))
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))

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

localize105.0ms (1.2%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 55 to 40 computations (27.3% saved)

series8.0ms (0.1%)

Counts

4 → 52

Calls

15 calls:

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

rewrite90.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`log-prod_binary32`
327×	`pow-prod-down_binary32`
319×	`pow2_binary32`
221×	`pow1/3_binary32`
219×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	269	46
2	3209	46

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 -1 (+.f32 1 (/.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 -1 (+.f32 1 (/.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 1 (+.f32 1 (/.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1)))) (cbrt.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -2)) (cbrt.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/4) (sqrt.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1))) -2) (cbrt.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (+.f32 -1 (pow.f32 u1 -3))) (+.f32 1 (+.f32 (pow.f32 u1 -2) (/.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (-.f32 1 (pow.f32 u1 -2))) (+.f32 -1 (/.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -3/2)) (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1))) 5/6) (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 -1 (/.f32 1 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (neg.f32 (+.f32 1 (/.f32 -1 u1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (-.f32 (log.f32 -1) (log1p.f32 (/.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (+.f32 -1 (/.f32 1 u1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (-.f32 (log.f32 -1) (log1p.f32 (/.f32 -1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 -1/2 (log.f32 (+.f32 -1 (/.f32 1 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 -2 (log.f32 (+.f32 -1 (/.f32 1 u1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (neg.f32 (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (+.f32 -1 (/.f32 1 u1))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (+.f32 -1 (/.f32 1 u1))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (-.f32 (log.f32 -1) (log1p.f32 (/.f32 -1 u1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (-.f32 (log.f32 -1) (log1p.f32 (/.f32 -1 u1))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (*.f32 -1/2 (log.f32 (+.f32 -1 (/.f32 1 u1)))) 1) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2)) (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (fma.f32 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2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))) 1) 1))))))
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(/.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (+.f32 -1 (/.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (+.f32 -1 (/.f32 1 u1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (*.f32 (log.f32 (+.f32 -1 (/.f32 1 u1))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/6) (cbrt.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1)))) (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/4) (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (neg.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 1 (/.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1))) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 -1 (+.f32 1 (/.f32 -1 u1)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 -1/2 (log.f32 (+.f32 -1 (/.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (-.f32 (log.f32 -1) (log1p.f32 (/.f32 -1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 -1/2 (log.f32 (+.f32 -1 (/.f32 1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (+.f32 -1 (/.f32 1 u1))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (+.f32 -1 (/.f32 1 u1))) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (+.f32 -1 (/.f32 1 u1))) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (-.f32 (log.f32 -1) (log1p.f32 (/.f32 -1 u1))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (-.f32 (log.f32 -1) (log1p.f32 (/.f32 -1 u1))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (*.f32 -1/2 (log.f32 (+.f32 -1 (/.f32 1 u1)))) 1) 1))))))

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

691×	`times-frac_binary32`
532×	`fma-def_binary32`
464×	`associate-/r*_binary32`
310×	`associate-/l*_binary32`
225×	`associate-l_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1298
1	341	1161
2	1238	1086
3	6159	1004

Stop Event

1×	node limit

Counts

225 → 215

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

Outputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 u1 (fma.f32 u1 u1 (pow.f32 u1 3)))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(fma.f32 u1 u1 (+.f32 (pow.f32 u1 3) (+.f32 u1 (pow.f32 u1 4))))
(*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (/.f32 -1 u1) (+.f32 -1 (/.f32 -1 (*.f32 u1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 u1))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 -1 (/.f32 -1 (*.f32 u1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (/.f32 -1 u1) (+.f32 -1 (/.f32 -1 (*.f32 u1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 u1))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 -1 (/.f32 -1 (*.f32 u1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))
(.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1))
(.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 -1/2 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 -1/2 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 (sqrt.f32 -1)))))
(fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (/.f32 (+.f32 -1/2 (.f32 (.f32 u2 u2) 98696044010906577398881/10000000000000000000000)) (.f32 u1 (sqrt.f32 -1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (+.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)) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 -1/2 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 -1/2 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (*.f32 u1 (sqrt.f32 -1))))))
(fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) u1))))
(fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 (sqrt.f32 -1))) (+.f32 -1/2 (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 -1/2 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (.f32 (sqrt.f32 -1) u1))))))
(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 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (pow.f32 u1 3))) (fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 -1/2 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (*.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)) -1) 1) (.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) (fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 -1/2 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 (sqrt.f32 -1)))))))
(fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 -1/2 (+.f32 (.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)))) (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (*.f32 u1 (sqrt.f32 -1))))))
(fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 -1)) (+.f32 (/.f32 -1/2 u1) (+.f32 (/.f32 (fma.f32 -1/2 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) -1/2) (pow.f32 u1 3)) (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) (.f32 u1 u1))))))
(.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1))
(.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 -1/2 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 -1/2 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 (sqrt.f32 -1)))))
(fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (/.f32 (+.f32 -1/2 (.f32 (.f32 u2 u2) 98696044010906577398881/10000000000000000000000)) (.f32 u1 (sqrt.f32 -1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 -1/2 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 -1/2 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (*.f32 u1 (sqrt.f32 -1))))))
(fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) u1))))
(fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 (sqrt.f32 -1))) (+.f32 -1/2 (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(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 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (pow.f32 u1 3))) (fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 -1/2 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (*.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)) -1) 1) (.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) (fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 -1/2 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 u1 (sqrt.f32 -1)))))))
(fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 -1/2 (+.f32 (.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)))) (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (*.f32 u1 (sqrt.f32 -1))))))
(fma.f32 (sqrt.f32 -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 -1)) (+.f32 (/.f32 -1/2 u1) (+.f32 (/.f32 (fma.f32 -1/2 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) -1/2) (pow.f32 u1 3)) (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) (.f32 u1 u1))))))
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))
(sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(/.f32 1 u1)
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(+.f32 -1 (/.f32 1 u1))
-1
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(+.f32 -1 (/.f32 1 u1))
-1
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(+.f32 (/.f32 1 u1) -1)
(+.f32 -1 (/.f32 1 u1))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (.f32 u1 u1) (sqrt.f32 -1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1)))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (.f32 u1 u1) (sqrt.f32 -1))) (sqrt.f32 -1))) (/.f32 1/2 (.f32 u1 (sqrt.f32 -1))))
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1))) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1))))
(+.f32 (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)))) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 (/.f32 -1/2 (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (+.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) u1))) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1)))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))
(-.f32 (+.f32 (sqrt.f32 -1) (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (.f32 u1 u1) (sqrt.f32 -1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1)))))
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (.f32 -1/2 (/.f32 (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (.f32 u1 u1) (sqrt.f32 -1))) (sqrt.f32 -1))) (/.f32 1/2 (.f32 u1 (sqrt.f32 -1))))
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1))) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1))))
(+.f32 (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)))) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 (/.f32 -1/2 (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (+.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) u1))) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1)))))

localize59.0ms (0.7%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 46 to 32 computations (30.4% saved)

series25.0ms (0.3%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	u1	@	inf	(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
1.0ms	u1	@	-inf	(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
1.0ms	u1	@	0	(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
1.0ms	u1	@	0	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	inf	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary32`
380×	`pow-prod-down_binary32`
331×	`pow2_binary32`
267×	`prod-diff_binary32`
231×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	271	32
2	3158	32

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

617×	`associate-/l/_binary32`
404×	`distribute-rgt-out_binary32`
389×	`fma-def_binary32`
324×	`unswap-sqr_binary32`
305×	`associate-/r/_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	99	862
1	293	820
2	871	740
3	3196	595
4	5708	563

Stop Event

1×	node limit

Counts

62 → 68

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

eval385.0ms (4.4%)

Compiler: Compiled 11848 to 9468 computations (20.1% saved)

prune147.0ms (1.7%)

Pruning

43 alts after pruning (33 fresh and 10 done)

	Pruned	Kept	Total
New	660	11	671
Fresh	7	22	29
Picked	0	1	1
Done	2	9	11
Total	669	43	712

Error

0.0b

Counts

712 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	6.5b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
	6.8b	(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
	0.5b	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) (-.f32 (+.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))
	7.0b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
	10.3b	(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
✓	6.3b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	8.4b	(.f32 (pow.f32 (cbrt.f32 u1) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
	6.4b	(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
✓	6.3b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.4b	(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
	10.1b	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	9.7b	(.f32 (sqrt.f32 u1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
✓	0.4b	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	11.8b	(pow.f32 (cbrt.f32 u1) 3/2)
✓	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	11.7b	(sqrt.f32 u1)
	0.4b	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.3b	(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	3.4b	(/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
	11.8b	(pow.f32 (/.f32 1 u1) -1/2)
	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	4.4b	(.f32 (pow.f32 (-.f32 (+.f32 1 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	9.2b	(sqrt.f32 (fma.f32 u1 u1 u1))
✓	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.0b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/3) 3/2)
	9.7b	(sqrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
	8.3b	(.f32 (pow.f32 (/.f32 1 u1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 u1 (.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	2.4b	(.f32 (pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.3b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	8.4b	(.f32 (pow.f32 (pow.f32 u1 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	3.3b	(+.f32 (.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2) (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2))
	1.5b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	6.3b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	6.5b	(log.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
	30.3b	(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (*.f32 u2 (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))))

Compiler

Compiled 631 to 519 computations (17.7% saved)

regimes524.0ms (6%)

Counts

73 → 1

Calls

Call 1

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

Calls

8 calls:

100.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
82.0ms	u2
71.0ms	cosTheta_i
53.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
51.0ms	u1

Results

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

Compiler

Compiled 969 to 722 computations (25.5% saved)

regimes223.0ms (2.6%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

9 calls:

53.0ms	(/.f32 u1 (-.f32 1 u1))
44.0ms	(*.f32 314159265359/50000000000 u2)
33.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
17.0ms	u1
14.0ms	(/.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	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.4b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.4b	1	`(/.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 260 to 195 computations (25% saved)

regimes244.0ms (2.8%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

9 calls:

35.0ms	u1
33.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
32.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
31.0ms	(/.f32 u1 (-.f32 1 u1))
31.0ms	(/.f32 u1 (-.f32 1 u1))

Results

Error	Segments	Branch
6.3b	1	`cosTheta_i`
4.0b	2	`u1`
3.2b	2	`u2`
4.0b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
4.0b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
4.0b	2	`(/.f32 u1 (-.f32 1 u1))`
4.0b	2	`(/.f32 u1 (-.f32 1 u1))`
3.2b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
3.2b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 238 to 178 computations (25.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999939203262329	0.9999950528144836

Compiler

Compiled 20 to 16 computations (20% saved)

regimes98.0ms (1.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

61.0ms	(/.f32 u1 (-.f32 1 u1))
9.0ms	u2
8.0ms	u1
8.0ms	cosTheta_i
8.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

Error	Segments	Branch
6.3b	1	`cosTheta_i`
6.3b	1	`u1`
6.3b	1	`u2`
6.3b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
6.3b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 123 to 92 computations (25.2% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0.0b (-0.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(sqrt.f32 u1)

Calls

3 calls:

4.0ms	cosTheta_i
3.0ms	u1
3.0ms	u2

Results

Error	Segments	Branch
11.7b	1	`cosTheta_i`
11.7b	1	`u1`
11.7b	1	`u2`

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-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	22	77
1	30	77
2	33	77
3	35	77
4	36	77

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 4294945792/4294967296) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 4294945792/4294967296) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 4194283/4194304) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)

end69.0ms (0.8%)

Stop Event

1×

fuel

Compiler

Compiled 118 to 91 computations (22.9% 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	231	68
9	240	68
10	243	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	231	68
9	240	68
10	243	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	231	68
9	240	68
10	243	68
0	3	3