Details

analyze288.0ms (2.8%)

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 (20.8%)

Results

2.1s	8256×	body	256	valid
1.0ms	3×	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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize67.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 27 computations (30.8% saved)

series11.0ms (0.1%)

Counts

4 → 40

Calls

15 calls:

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

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

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

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

630×	`associate-/l/_binary32`
456×	`fma-def_binary32`
386×	`unswap-sqr_binary32`
308×	`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	3703	720
4	6838	718

Stop Event

1×	node limit

Counts

193 → 201

Calls

Call 1

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

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

eval75.0ms (0.7%)

Compiler: Compiled 3514 to 2769 computations (21.2% saved)

prune50.0ms (0.5%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	181	20	201
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	181	21	202

Error

0.0b

Counts

202 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.8b	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (log.f32 (.f32 314159265359/50000000000 u2)))))
	1.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.1b	(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	1.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.7b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.6b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
▶	0.5b	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.8b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.3b	(.f32 (pow.f32 (exp.f32 1/2) (log.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	6.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.3b	(.f32 (sqrt.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 674 to 549 computations (18.5% saved)

localize60.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 56 to 33 computations (41.1% saved)

series5.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite60.0ms (0.6%)

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))))))

simplify56.0ms (0.5%)

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)

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize58.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 39 computations (20.4% saved)

series22.0ms (0.2%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	u1	@	-inf	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(sqrt.f32 (-.f32 (/.f32 1 u1) 1))
1.0ms	u1	@	-inf	(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

548×	`log-prod_binary32`
317×	`pow-prod-down_binary32`
299×	`pow2_binary32`
233×	`prod-diff_binary32`
211×	`pow-to-exp_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	253	36
2	3121	36

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

516×	`times-frac_binary32`
494×	`associate-/r*_binary32`
492×	`fma-def_binary32`
272×	`associate-/l*_binary32`
234×	`associate-l_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1218
1	370	1157
2	1212	1063
3	5421	981

Stop Event

1×	node limit

Counts

147 → 145

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

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

localize70.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 32 computations (30.4% saved)

series4.0ms (0%)

Counts

3 → 32

Calls

12 calls:

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

rewrite63.0ms (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	38
1	271	38
2	3158	38

Stop Event

1×	node limit

Counts

3 → 57

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)))
(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))))))

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

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

614×	`associate-/l/_binary32`
456×	`fma-def_binary32`
396×	`distribute-rgt-out_binary32`
324×	`unswap-sqr_binary32`
317×	`distribute-lft-out_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	107	912
1	315	861
2	927	784
3	3333	637
4	5815	605

Stop Event

1×	node limit

Counts

89 → 98

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

localize63.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	0.6b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)
✓	1.6b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)

Compiler

Compiled 54 to 40 computations (25.9% saved)

series74.0ms (0.7%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
53.0ms	u1	@	0	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))
15.0ms	u2	@	0	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	0	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)
1.0ms	u1	@	-inf	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`log-prod_binary32`
352×	`pow2_binary32`
271×	`prod-diff_binary32`
240×	`pow-unpow_binary32`
239×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	306	36
2	3596	36

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

634×	`associate-/l/_binary32`
574×	`fma-def_binary32`
566×	`associate-/r/_binary32`
432×	`distribute-rgt-out_binary32`
342×	`distribute-lft-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1102
1	376	1019
2	1159	946
3	4517	823

Stop Event

1×	node limit

Counts

126 → 131

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(+.f32 (.f32 5/16 (sqrt.f32 (pow.f32 u1 7))) (+.f32 (sqrt.f32 u1) (+.f32 (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))))
(pow.f32 -1 1/6)
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(pow.f32 -1 1/6)
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(pow.f32 u1 3)
(+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3))
(+.f32 (.f32 6 (pow.f32 u1 5)) (+.f32 (.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3)))
(+.f32 (.f32 10 (pow.f32 u1 6)) (+.f32 (.f32 6 (pow.f32 u1 5)) (+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3))))
-1
(neg.f32 (+.f32 1 (*.f32 3 (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (.f32 3 (/.f32 1 u1)))))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 10 (/.f32 1 (pow.f32 u1 3))) (*.f32 3 (/.f32 1 u1))))))
-1
(neg.f32 (+.f32 1 (*.f32 3 (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (.f32 3 (/.f32 1 u1)))))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 10 (/.f32 1 (pow.f32 u1 3))) (*.f32 3 (/.f32 1 u1))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))) (.f32 (pow.f32 -1 1/6) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))) (+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))) (.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))) (+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))) (+.f32 (.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

Outputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))
(fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))
(fma.f32 1/2 (pow.f32 u1 3/2) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(+.f32 (sqrt.f32 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 3/8 (pow.f32 u1 5/2) (sqrt.f32 u1)))
(+.f32 (.f32 5/16 (sqrt.f32 (pow.f32 u1 7))) (+.f32 (sqrt.f32 u1) (+.f32 (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))))
(fma.f32 5/16 (sqrt.f32 (pow.f32 u1 7)) (+.f32 (sqrt.f32 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))))
(+.f32 (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))) (fma.f32 5/16 (sqrt.f32 (pow.f32 u1 7)) (sqrt.f32 u1)))
(fma.f32 5/16 (pow.f32 u1 7/2) (fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 3/8 (pow.f32 u1 5/2) (sqrt.f32 u1))))
(pow.f32 -1 1/6)
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6))
(fma.f32 1/2 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6))
(*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/2 u1) 1))
(+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(fma.f32 3/8 (/.f32 (.f32 (pow.f32 -1 1/6) 1) (.f32 u1 u1)) (fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6)))
(fma.f32 3/8 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6)))
(+.f32 (pow.f32 -1 1/6) (.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/2 u1) (/.f32 3/8 (.f32 u1 u1)))))
(.f32 (pow.f32 -1 1/6) (+.f32 1 (+.f32 (/.f32 1/2 u1) (/.f32 3/8 (.f32 u1 u1)))))
(+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(fma.f32 3/8 (/.f32 (.f32 (pow.f32 -1 1/6) 1) (.f32 u1 u1)) (fma.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (fma.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3))) (pow.f32 -1 1/6))))
(fma.f32 3/8 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (pow.f32 -1 1/6) u1) (fma.f32 5/16 (/.f32 (pow.f32 -1 1/6) (pow.f32 u1 3)) (pow.f32 -1 1/6))))
(+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 5/16 (pow.f32 u1 3)) 1)) (.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/2 u1) (/.f32 3/8 (*.f32 u1 u1)))))
(.f32 (pow.f32 -1 1/6) (+.f32 (+.f32 (/.f32 5/16 (pow.f32 u1 3)) 1) (+.f32 (/.f32 1/2 u1) (/.f32 3/8 (.f32 u1 u1)))))
(pow.f32 -1 1/6)
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6))
(fma.f32 1/2 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6))
(*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/2 u1) 1))
(+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(fma.f32 3/8 (/.f32 (.f32 (pow.f32 -1 1/6) 1) (.f32 u1 u1)) (fma.f32 1/2 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6)))
(fma.f32 3/8 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6)))
(+.f32 (pow.f32 -1 1/6) (.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/2 u1) (/.f32 3/8 (.f32 u1 u1)))))
(.f32 (pow.f32 -1 1/6) (+.f32 1 (+.f32 (/.f32 1/2 u1) (/.f32 3/8 (.f32 u1 u1)))))
(+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(fma.f32 3/8 (/.f32 (.f32 (pow.f32 -1 1/6) 1) (.f32 u1 u1)) (fma.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (fma.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3))) (pow.f32 -1 1/6))))
(fma.f32 3/8 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (pow.f32 -1 1/6) u1) (fma.f32 5/16 (/.f32 (pow.f32 -1 1/6) (pow.f32 u1 3)) (pow.f32 -1 1/6))))
(+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 5/16 (pow.f32 u1 3)) 1)) (.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/2 u1) (/.f32 3/8 (*.f32 u1 u1)))))
(.f32 (pow.f32 -1 1/6) (+.f32 (+.f32 (/.f32 5/16 (pow.f32 u1 3)) 1) (+.f32 (/.f32 1/2 u1) (/.f32 3/8 (.f32 u1 u1)))))
(pow.f32 u1 3)
(+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3))
(fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3))
(+.f32 (.f32 6 (pow.f32 u1 5)) (+.f32 (.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3)))
(fma.f32 6 (pow.f32 u1 5) (fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3)))
(fma.f32 (pow.f32 u1 5) 6 (fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3)))
(fma.f32 3 (pow.f32 u1 4) (fma.f32 (pow.f32 u1 5) 6 (pow.f32 u1 3)))
(+.f32 (.f32 10 (pow.f32 u1 6)) (+.f32 (.f32 6 (pow.f32 u1 5)) (+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3))))
(fma.f32 10 (pow.f32 u1 6) (fma.f32 6 (pow.f32 u1 5) (fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3))))
(fma.f32 10 (pow.f32 u1 6) (fma.f32 (pow.f32 u1 5) 6 (fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3))))
(fma.f32 (pow.f32 u1 5) 6 (fma.f32 10 (pow.f32 u1 6) (fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3))))
(fma.f32 10 (pow.f32 u1 6) (fma.f32 3 (pow.f32 u1 4) (fma.f32 (pow.f32 u1 5) 6 (pow.f32 u1 3))))
-1
(neg.f32 (+.f32 1 (*.f32 3 (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (/.f32 3 u1)))
(-.f32 -1 (/.f32 3 u1))
(+.f32 -1 (/.f32 -3 u1))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (.f32 3 (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1))))
(+.f32 -1 (-.f32 (/.f32 -3 u1) (/.f32 6 (*.f32 u1 u1))))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 10 (/.f32 1 (pow.f32 u1 3))) (*.f32 3 (/.f32 1 u1))))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 6 (*.f32 u1 u1)) (+.f32 (/.f32 3 u1) (/.f32 10 (pow.f32 u1 3))))))
(-.f32 -1 (+.f32 (/.f32 6 (*.f32 u1 u1)) (+.f32 (/.f32 3 u1) (/.f32 10 (pow.f32 u1 3)))))
(+.f32 -1 (-.f32 (-.f32 (/.f32 -3 u1) (/.f32 6 (*.f32 u1 u1))) (/.f32 10 (pow.f32 u1 3))))
(+.f32 (/.f32 -6 (*.f32 u1 u1)) (+.f32 -1 (+.f32 (/.f32 -3 u1) (/.f32 -10 (pow.f32 u1 3)))))
-1
(neg.f32 (+.f32 1 (*.f32 3 (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (/.f32 3 u1)))
(-.f32 -1 (/.f32 3 u1))
(+.f32 -1 (/.f32 -3 u1))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (.f32 3 (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1))))
(+.f32 -1 (-.f32 (/.f32 -3 u1) (/.f32 6 (*.f32 u1 u1))))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 10 (/.f32 1 (pow.f32 u1 3))) (*.f32 3 (/.f32 1 u1))))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 6 (*.f32 u1 u1)) (+.f32 (/.f32 3 u1) (/.f32 10 (pow.f32 u1 3))))))
(-.f32 -1 (+.f32 (/.f32 6 (*.f32 u1 u1)) (+.f32 (/.f32 3 u1) (/.f32 10 (pow.f32 u1 3)))))
(+.f32 -1 (-.f32 (-.f32 (/.f32 -3 u1) (/.f32 6 (*.f32 u1 u1))) (/.f32 10 (pow.f32 u1 3))))
(+.f32 (/.f32 -6 (*.f32 u1 u1)) (+.f32 -1 (+.f32 (/.f32 -3 u1) (/.f32 -10 (pow.f32 u1 3)))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))) (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 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1))) (fma.f32 (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 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (/.f32 (.f32 (pow.f32 u1 3) (sqrt.f32 -1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2) (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 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1))))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1 (+.f32 -1/2 (.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2))) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))))))
(+.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (/.f32 -5/16 (.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (sqrt.f32 -1))) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (+.f32 -1/2 (/.f32 -3/8 u1))))
(.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))) (.f32 (pow.f32 -1 1/6) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2))) u1) (.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (pow.f32 -1 1/6) (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))) (+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))) (.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (/.f32 (.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2))) u1) (fma.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (.f32 (pow.f32 -1 1/6) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 (.f32 1/2 (pow.f32 -1 1/6)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (fma.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (.f32 (pow.f32 -1 1/6) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (.f32 (/.f32 (pow.f32 -1 1/6) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (pow.f32 -1 1/6) (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 3/8 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))))))
(fma.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (/.f32 (pow.f32 -1 1/6) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))) (+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))) (+.f32 (.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))))))
(fma.f32 1/2 (/.f32 (.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2))) u1) (fma.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (pow.f32 -1 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 5/16 (/.f32 (.f32 (pow.f32 -1 1/6) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))))))
(fma.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (fma.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))) (.f32 (pow.f32 -1 1/6) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 3/8 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))))) (.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 5/16) (pow.f32 u1 3)) (.f32 1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)))))
(+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 5/16) (pow.f32 u1 3)))) (.f32 (.f32 (/.f32 (pow.f32 -1 1/6) u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1/2 (/.f32 3/8 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 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 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 6)))))
(+.f32 (.f32 (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (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))))

eval422.0ms (4.1%)

Compiler: Compiled 13280 to 10574 computations (20.4% saved)

prune298.0ms (2.9%)

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	721	27	748
Fresh	10	5	15
Picked	1	0	1
Done	2	3	5
Total	734	35	769

Error

0.0b

Counts

769 → 35

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
	1.8b	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	11.0b	(sqrt.f32 u1)
	1.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.9b	(sqrt.f32 (fma.f32 u1 u1 u1))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	6.3b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
✓	6.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	6.9b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
	6.2b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
▶	6.3b	(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
	6.2b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
▶	6.8b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	17.2b	(.f32 (sqrt.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	2.7b	(exp.f32 (log.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
	0.4b	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	2.3b	(.f32 (sqrt.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.3b	(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
▶	2.8b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	6.8b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.2b	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	6.2b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	1.3b	(.f32 (/.f32 1 (expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.5b	(.f32 (pow.f32 (pow.f32 u1 3) 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.3b	(.f32 (pow.f32 (exp.f32 1/2) (log.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.6b	(.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.6b	(.f32 (pow.f32 (/.f32 1 (pow.f32 (/.f32 (-.f32 1 u1) u1) 3)) 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	6.9b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
	6.4b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
	0.6b	(.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 981 to 805 computations (17.9% saved)

localize67.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	0.4b	(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
✓	1.0b	(pow.f32 98696044010906577398881/2500000000000000000000 1/2)

Compiler

Compiled 49 to 37 computations (24.5% saved)

series5.0ms (0%)

Counts

3 → 32

Calls

9 calls:

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

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	276	22
2	3187	22

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

Inputs

(pow.f32 98696044010906577398881/2500000000000000000000 1/2)

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

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

Outputs

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

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

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

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

754×	`associate-*r/_binary32`
615×	`distribute-lft-out_binary32`
515×	`distribute-rgt-out_binary32`
499×	`associate-/l/_binary32`
419×	`*-commutative_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	694
1	219	661
2	655	602
3	2562	502
4	6115	488

Stop Event

1×	node limit

Counts

75 → 65

Calls

Call 1

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

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

localize12.0ms (0.1%)

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

localize61.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`pow1_binary32`
567×	`add-log-exp_binary32`
566×	`log1p-expm1-u_binary32`
566×	`expm1-log1p-u_binary32`
556×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	130	7
2	1513	7

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary32`
426×	`distribute-rgt-out_binary32`
309×	`times-frac_binary32`
300×	`distribute-lft-out_binary32`
263×	`fma-neg_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	408
1	167	364
2	412	293
3	1217	229
4	4065	222
5	6186	222

Stop Event

1×	node limit

Counts

27 → 38

Calls

Call 1

Inputs
1
(+.f32 1 (*.f32 1/2 u1))
(+.f32 1 (+.f32 (.f32 3/8 (pow.f32 u1 2)) (.f32 1/2 u1)))
(+.f32 1 (+.f32 (.f32 3/8 (pow.f32 u1 2)) (+.f32 (.f32 1/2 u1) (*.f32 5/16 (pow.f32 u1 3)))))
(exp.f32 (.f32 -1/2 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (.f32 -1/2 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)) (exp.f32 (.f32 -1/2 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (.f32 -1/2 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)) (+.f32 (exp.f32 (.f32 -1/2 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 3/8 (/.f32 (exp.f32 (.f32 -1/2 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (.f32 -1/2 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)) (+.f32 (exp.f32 (.f32 -1/2 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 3/8 (/.f32 (exp.f32 (.f32 -1/2 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2))) (.f32 5/16 (/.f32 (exp.f32 (.f32 -1/2 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 3))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 u1)))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 u1))) (.f32 1/2 (*.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (pow.f32 u1 3))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 u1))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (pow.f32 u1 3))))) (.f32 3/8 (*.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (pow.f32 u1 5)))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 u1))) (+.f32 (.f32 5/16 (.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (pow.f32 u1 7))))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (pow.f32 u1 3))))) (.f32 3/8 (*.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (pow.f32 u1 5))))))))

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

localize75.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 20 computations (48.7% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

9 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

859×	`pow1_binary32`
794×	`add-log-exp_binary32`
794×	`log1p-expm1-u_binary32`
794×	`expm1-log1p-u_binary32`
773×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	201	17
2	2276	17

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

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

Outputs

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

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

simplify131.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	276
1	95	260
2	229	250
3	712	245
4	2552	245
5	4565	245
6	5756	245
7	6050	245
8	6267	245
9	6540	245
10	6877	245
11	7304	245

Stop Event

1×	node limit

Counts

53 → 51

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

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

localize70.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 21 computations (57.1% saved)

series6.0ms (0.1%)

Counts

1 → 20

Calls

6 calls:

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

rewrite48.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`pow1_binary32`
887×	`add-log-exp_binary32`
887×	`log1p-expm1-u_binary32`
887×	`expm1-log1p-u_binary32`
105×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	221	14
2	2521	14

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

933×	`fma-neg_binary32`
733×	`fma-def_binary32`
520×	`distribute-lft-out_binary32`
413×	`associate-l_binary32`
362×	`distribute-rgt-out_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	500
1	158	446
2	374	368
3	1032	343
4	3331	325
5	7322	325

Stop Event

1×	node limit

Counts

34 → 41

Calls

Call 1

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

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

eval218.0ms (2.1%)

Compiler: Compiled 6637 to 4726 computations (28.8% saved)

prune263.0ms (2.6%)

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	426	10	436
Fresh	2	25	27
Picked	1	0	1
Done	1	6	7
Total	430	41	471

Error

0.0b

Counts

471 → 41

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
	1.8b	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.8b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	25.6b	(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 u1 1/2))
	1.6b	(.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	11.0b	(sqrt.f32 u1)
	9.0b	(.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
▶	1.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.0b	(hypot.f32 u1 (sqrt.f32 u1))
▶	25.9b	(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)
	6.8b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	1.6b	(.f32 (pow.f32 (/.f32 1 (pow.f32 (/.f32 (-.f32 1 u1) u1) 3)) 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	7.9b	(sqrt.f32 (fma.f32 u1 u1 u1))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	6.3b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
✓	6.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	6.9b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
	6.2b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
✓	6.3b	(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
	6.2b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
	2.7b	(exp.f32 (log.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
	0.4b	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	2.3b	(.f32 (sqrt.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.3b	(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
	6.8b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
▶	6.8b	(.f32 (sqrt.f32 u1) (-.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000))) 1))
	0.6b	(.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.0b	(.f32 (sqrt.f32 u1) (+.f32 1 (.f32 1/2 u1)))
	6.2b	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	6.2b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	17.2b	(.f32 (sqrt.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	1.3b	(.f32 (/.f32 1 (expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.5b	(.f32 (pow.f32 (pow.f32 u1 3) 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.3b	(.f32 (pow.f32 (exp.f32 1/2) (log.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	6.9b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
	6.4b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)

Compiler

Compiled 1071 to 881 computations (17.7% saved)

localize57.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 33 computations (21.4% saved)

series5.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite55.0ms (0.5%)

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	28
1	255	28
2	3010	28

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

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 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))))))

simplify68.0ms (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	990
1	306	929
2	945	825
3	4045	675
4	7066	675

Stop Event

1×	node limit

Counts

81 → 82

Calls

Call 1

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

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))))
(+.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))))))
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(+.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)))))

localize40.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series6.0ms (0.1%)

Counts

1 → 4

Calls

6 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`pow1_binary32`
579×	`add-log-exp_binary32`
579×	`log1p-expm1-u_binary32`
579×	`expm1-log1p-u_binary32`
567×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	138	9
2	1570	9

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Rules

619×	`distribute-lft-out_binary32`
596×	`distribute-rgt-out_binary32`
430×	`fma-def_binary32`
428×	`*-commutative_binary32`
418×	`associate-+l+_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	64
1	61	64
2	163	58
3	512	55
4	2047	55
5	4153	55
6	4460	55
7	4792	55
8	5305	55
9	6054	55
10	6867	55

Stop Event

1×	node limit

Counts

15 → 18

Calls

Call 1

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

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

localize28.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	79	6
2	909	6

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

730×	`fma-neg_binary32`
539×	`div-sub_binary32`
531×	`cancel-sign-sub-inv_binary32`
421×	`associate-*l/_binary32`
421×	`associate-/l/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	73
1	70	71
2	162	70
3	389	70
4	1006	70
5	2522	70
6	7669	70

Stop Event

1×	node limit

Counts

52 → 59

Calls

Call 1

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

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

localize49.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 41 to 31 computations (24.4% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

15 calls:

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

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

458×	`log-prod_binary32`
347×	`exp-prod_binary32`
329×	`prod-diff_binary32`
303×	`fma-def_binary32`
299×	`pow-prod-down_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	234	30
2	2938	30

Stop Event

1×	node limit

Counts

4 → 198

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u2 314159265359/50000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u2 314159265359/50000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 u2 314159265359/50000000000))) 2)) (cbrt.f32 (log.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (log.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u2 314159265359/50000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (.f32 u2 314159265359/50000000000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 u2 314159265359/50000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (.f32 u2 314159265359/50000000000)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (.f32 (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (cos.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 u2 314159265359/50000000000)))) (cos.f32 1)) (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 u2 314159265359/50000000000)))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (cos.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (expm1.f32 (.f32 3 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (expm1.f32 (.f32 2 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (/.f32 1 (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (sqrt.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000)))) 1) (expm1.f32 (.f32 1/2 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) (expm1.f32 (.f32 3 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (expm1.f32 (.f32 2 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (expm1.f32 (.f32 3 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (expm1.f32 (.f32 3 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (-.f32 1 (.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (expm1.f32 (.f32 2 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (expm1.f32 (.f32 3 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))) (neg.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (expm1.f32 (.f32 2 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))) (neg.f32 (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1) 3)) (+.f32 1 (-.f32 (pow.f32 (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1) 2) (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1) 2)) (-.f32 1 (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) (expm1.f32 (.f32 3 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (expm1.f32 (.f32 2 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) 2)) (cbrt.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (sqrt.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f32 (.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (cos.f32 (.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (.f32 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000)))) (pow.f32 (cbrt.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000)))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000)))) 2) (cbrt.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000)))) 2) (.f32 (cbrt.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000)))) (.f32 (sqrt.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (expm1.f32 (.f32 3 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 1 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3)) (/.f32 1 (fma.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1) 1)) -1)))) 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simplify147.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1031×	`distribute-rgt-in_binary32`
710×	`fma-def_binary32`
548×	`sqr-pow_binary32`
510×	`distribute-rgt-out_binary32`
450×	`associate-l_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	446
1	109	426
2	270	416
3	808	411
4	2671	411
5	4709	411
6	5900	411
7	6194	411
8	6411	411
9	6684	411
10	7021	411
11	7449	411

Stop Event

1×	node limit

Counts

246 → 223

Calls

Call 1

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

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

localize65.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 54 to 40 computations (25.9% saved)

series9.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

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

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	304	36
2	3544	36

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

Outputs

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

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

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

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

599×	`associate-/r*_binary32`
491×	`associate-/l*_binary32`
435×	`*-commutative_binary32`
426×	`+-commutative_binary32`
249×	`fma-def_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	223	1505
1	699	1376
2	2501	1289
3	6569	1220

Stop Event

1×	node limit

Counts

113 → 117

Calls

Call 1

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

eval474.0ms (4.6%)

Compiler: Compiled 10837 to 8507 computations (21.5% saved)

prune157.0ms (1.5%)

Pruning

44 alts after pruning (36 fresh and 8 done)

	Pruned	Kept	Total
New	615	16	631
Fresh	10	20	30
Picked	0	1	1
Done	3	7	10
Total	628	44	672

Error

0.0b

Counts

672 → 44

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
	1.8b	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.8b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	25.6b	(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 u1 1/2))
✓	11.0b	(sqrt.f32 u1)
	30.5b	(+.f32 1/2 (+.f32 u1 (/.f32 -1/8 u1)))
✓	1.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.8b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	1.6b	(.f32 (pow.f32 (/.f32 1 (pow.f32 (/.f32 (-.f32 1 u1) u1) 3)) 1/6) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.5b	(.f32 (pow.f32 (pow.f32 u1 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.8b	(.f32 (.f32 (+.f32 (.f32 u1 1/2) 1) (sqrt.f32 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	25.8b	(+.f32 u1 1/2)
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	6.3b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
✓	6.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	6.2b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	25.9b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) u1)
	6.8b	(.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 (pow.f32 (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1) 2)) (-.f32 1 (+.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) -1))))
	6.2b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
	27.6b	(+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1))
	6.8b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
	2.7b	(exp.f32 (log.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
	0.4b	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	3.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
	1.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	2.3b	(.f32 (sqrt.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.3b	(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
	8.0b	(hypot.f32 (sqrt.f32 u1) u1)
	30.7b	(-.f32 -1/2 u1)
	8.0b	(.f32 (sqrt.f32 u1) (+.f32 1 (.f32 1/2 u1)))
✓	6.8b	(.f32 (sqrt.f32 u1) (-.f32 (+.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000))) 1))
	25.9b	(fma.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u1 u2)) u1)
	6.8b	(.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1) 1))
	6.2b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	30.6b	(neg.f32 u1)
	2.3b	(.f32 (pow.f32 (exp.f32 1/2) (log.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	26.1b	u1
	17.2b	(.f32 (sqrt.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	0.4b	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	6.9b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
	25.9b	(.f32 (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1) u1)

Compiler

Compiled 593 to 484 computations (18.4% saved)

regimes574.0ms (5.6%)

Counts

74 → 1

Calls

Call 1

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

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

Calls

11 calls:

88.0ms	(/.f32 u1 (-.f32 1 u1))
67.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
65.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
52.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
47.0ms	cosTheta_i

Results

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

Compiler

Compiled 890 to 651 computations (26.9% saved)

regimes364.0ms (3.5%)

Counts

49 → 1

Calls

Call 1

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

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

Calls

8 calls:

61.0ms	u1
50.0ms	(*.f32 314159265359/50000000000 u2)
43.0ms	(/.f32 u1 (-.f32 1 u1))
42.0ms	u2
41.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

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

Compiler

Compiled 474 to 333 computations (29.7% saved)

regimes227.0ms (2.2%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

9 calls:

33.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
33.0ms	(/.f32 u1 (-.f32 1 u1))
29.0ms	cosTheta_i
26.0ms	(*.f32 314159265359/50000000000 u2)
23.0ms	(/.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 322 to 223 computations (30.7% saved)

regimes597.0ms (5.8%)

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

11 calls:

114.0ms	u2
84.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
75.0ms	cosTheta_i
64.0ms	u1
52.0ms	(/.f32 u1 (-.f32 1 u1))

Results

Error	Segments	Branch
3.5b	1	`cosTheta_i`
1.8b	2	`u1`
1.4b	2	`u2`
1.8b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
1.8b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
1.8b	2	`(/.f32 u1 (-.f32 1 u1))`
1.8b	2	`(/.f32 u1 (-.f32 1 u1))`
1.4b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
1.4b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
1.4b	2	`(*.f32 314159265359/50000000000 u2)`
1.4b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 324 to 225 computations (30.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9973952770233154	0.9974812269210815

Compiler

Compiled 20 to 16 computations (20% saved)

regimes617.0ms (6%)

Counts

33 → 2

Calls

Call 1

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

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

Calls

11 calls:

84.0ms	(/.f32 u1 (-.f32 1 u1))
75.0ms	(*.f32 314159265359/50000000000 u2)
75.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
63.0ms	(/.f32 u1 (-.f32 1 u1))
59.0ms	(*.f32 314159265359/50000000000 u2)

Results

Error	Segments	Branch
3.5b	1	`cosTheta_i`
1.8b	2	`u1`
1.4b	2	`u2`
1.8b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
1.8b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
1.8b	2	`(/.f32 u1 (-.f32 1 u1))`
1.8b	2	`(/.f32 u1 (-.f32 1 u1))`
1.4b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
1.4b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
1.4b	2	`(*.f32 314159265359/50000000000 u2)`
1.4b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 302 to 209 computations (30.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.07099031656980515	0.07219242304563522

Compiler

Compiled 20 to 16 computations (20% saved)

regimes221.0ms (2.1%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

9 calls:

48.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
45.0ms	(*.f32 314159265359/50000000000 u2)
38.0ms	u1
24.0ms	(*.f32 314159265359/50000000000 u2)
14.0ms	cosTheta_i

Results

Error	Segments	Branch
3.5b	1	`cosTheta_i`
3.5b	1	`u1`
3.5b	1	`u2`
3.5b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
3.5b	1	`(/.f32 u1 (-.f32 1 u1))`
3.5b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
3.5b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
3.5b	1	`(*.f32 314159265359/50000000000 u2)`
3.5b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 198 to 139 computations (29.8% saved)

regimes110.0ms (1.1%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

7 calls:

43.0ms	(/.f32 u1 (-.f32 1 u1))
15.0ms	cosTheta_i
12.0ms	(*.f32 314159265359/50000000000 u2)
10.0ms	u1
10.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

Error	Segments	Branch
6.1b	1	`cosTheta_i`
6.1b	1	`u1`
6.1b	1	`u2`
6.1b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
6.1b	1	`(/.f32 u1 (-.f32 1 u1))`
6.1b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
6.1b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 158 to 114 computations (27.8% saved)

regimes58.0ms (0.6%)

Counts

8 → 1

Calls

Call 1

Inputs
u1
(neg.f32 u1)
(+.f32 u1 1/2)
(-.f32 -1/2 u1)
(+.f32 1/2 (+.f32 u1 (/.f32 -1/8 u1)))
(+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1))
(sqrt.f32 u1)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)

Outputs
(sqrt.f32 u1)

Calls

5 calls:

21.0ms	(*.f32 314159265359/50000000000 u2)
20.0ms	u1
5.0ms	u2
5.0ms	cosTheta_i
4.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))

Results

Error	Segments	Branch
11.0b	1	`cosTheta_i`
11.0b	1	`u1`
11.0b	1	`u2`
11.0b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
11.0b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 59 to 43 computations (27.1% saved)

regimes20.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(+.f32 u1 1/2)

Calls

3 calls:

6.0ms	u2
5.0ms	u1
4.0ms	cosTheta_i

Results

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

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes10.0ms (0.1%)

Accuracy

Total -4.7b remaining (-18.1%)

Threshold costs -4.7b (-18.1%)

Counts

2 → 1

Calls

Call 1

Inputs
u1
(neg.f32 u1)

Outputs
u1

Calls

3 calls:

3.0ms	u2
3.0ms	u1
3.0ms	cosTheta_i

Results

Error	Segments	Branch
26.1b	1	`cosTheta_i`
26.1b	1	`u1`
26.1b	1	`u2`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary32`
7×	`+-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	42	182
1	63	182
2	66	182
3	68	182
4	69	182

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(.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)) 4283800320/4294967296) (.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1) 1)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 309237632/4294967296) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)
(+.f32 u1 1/2)
u1

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 4283800320/4294967296) (.f32 (sqrt.f32 u1) (+.f32 (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1) 1)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(if (<=.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 16733595/16777216) (.f32 (sqrt.f32 u1) (+.f32 1 (+.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 309237632/4294967296) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))))
(if (<=.f32 (.f32 u2 314159265359/50000000000) 2415919/33554432) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))) (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)
(+.f32 u1 1/2)
u1

end88.0ms (0.9%)

Stop Event

1×

fuel

Compiler

Compiled 273 to 209 computations (23.4% 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