Details

analyze184.0ms (1.3%)

Algorithm

1×

Search

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample2.8s (19.8%)

Results

2.8s	8256×	body	256	valid
1.0ms	5×	body	256	precondition

Bogosity

preprocess28.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

0.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize56.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 27 computations (30.8% saved)

series10.0ms (0.1%)

Counts

4 → 36

Calls

15 calls:

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

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	228	34
2	2842	34

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

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

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

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

685×	`distribute-rgt-out_binary32`
633×	`associate-/l/_binary32`
489×	`fma-def_binary32`
371×	`associate-/r/_binary32`
308×	`times-frac_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	103	875
1	307	810
2	971	739
3	3687	647
4	6819	637

Stop Event

1×	node limit

Counts

174 → 181

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 u2)
(+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))

Outputs
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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)))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.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))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 -1/2 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (+.f32 1 (+.f32 -1/2 (.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2))) (/.f32 (pow.f32 u1 3) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)) (+.f32 (/.f32 5/8 u1) 3/4)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (+.f32 (/.f32 5/8 (*.f32 u1 u1)) (+.f32 (/.f32 3/4 u1) 1)))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 1/2 u1) 1))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))) (.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 1/2 u1) (+.f32 (/.f32 3/8 (.f32 u1 u1)) 1)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (sin.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))) (.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (.f32 314159265359/50000000000 u2))))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 5/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 1/2 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 3/8 (/.f32 5/16 u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (+.f32 (/.f32 5/16 (*.f32 u1 u1)) (/.f32 3/8 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 7)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (.f32 314159265359/50000000000 u2)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 u2)
(+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))
(+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 314159265359/50000000000 u2))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1)))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.f32 (+.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1))) (pow.f32 u1 4))
(*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(-.f32 -1 (/.f32 1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 u1))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 -1 (/.f32 -1 u1)) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))
(+.f32 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))) (+.f32 -1 (/.f32 -1 (pow.f32 u1 3))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(-.f32 -1 (/.f32 1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 u1))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 -1 (/.f32 -1 u1)) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))
(+.f32 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))) (+.f32 -1 (/.f32 -1 (pow.f32 u1 3))))

eval74.0ms (0.5%)

Compiler: Compiled 3176 to 2493 computations (21.5% saved)

prune91.0ms (0.6%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	156	25	181
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	156	26	182

Error

0.0b

Counts

182 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	1.2b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	2.2b	(.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)))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	13.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
	4.2b	(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))))) 2)) (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))))))
▶	4.4b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
	3.8b	(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	13.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
	6.1b	(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	0.6b	(.f32 (sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
	1.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (.f32 314159265359/50000000000 u2)))))
	8.2b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
▶	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.7b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 4)) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
▶	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	3.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) 3)))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	12.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
▶	2.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
	1.1b	(.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) (sin.f32 (*.f32 314159265359/50000000000 u2)))

Compiler

Compiled 942 to 761 computations (19.2% saved)

localize60.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 56 to 33 computations (41.1% saved)

series35.0ms (0.2%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
31.0ms	u2	@	0	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
1.0ms	u2	@	inf	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	271	30
2	3334	30

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

Inputs

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

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

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

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

Outputs

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

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

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

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

624×	`associate-/l/_binary32`
617×	`distribute-rgt-out_binary32`
544×	`distribute-lft-in_binary32`
477×	`distribute-rgt-in_binary32`
422×	`fma-def_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	91	857
1	264	810
2	795	746
3	3234	654
4	5770	644

Stop Event

1×	node limit

Counts

106 → 98

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.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 314159265359/50000000000 u2)
(+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 -314159265359/50000000000 u2))

Outputs
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 -1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 -1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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)))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.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)))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (+.f32 -1/2 (*.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2))) (pow.f32 u1 3)))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)) (+.f32 (/.f32 5/8 u1) 3/4)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (+.f32 (+.f32 (/.f32 3/4 u1) 1) (/.f32 5/8 (.f32 u1 u1))))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 1/2 u1) 1))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))) (.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 1/2 u1) (+.f32 (/.f32 3/8 (.f32 u1 u1)) 1)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (sin.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))) (.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (.f32 314159265359/50000000000 u2))))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 5/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 1/2 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 3/8 (/.f32 5/16 u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (+.f32 (/.f32 5/16 (*.f32 u1 u1)) (/.f32 3/8 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 7)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (.f32 314159265359/50000000000 u2)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 314159265359/50000000000 u2)
(+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 314159265359/50000000000 u2))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 -314159265359/50000000000))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 -314159265359/50000000000))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 -314159265359/50000000000))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 -314159265359/50000000000))

localize43.0ms (0.3%)

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 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
✓	0.4b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

Compiler

Compiled 39 to 26 computations (33.3% saved)

series10.0ms (0.1%)

Counts

3 → 24

Calls

15 calls:

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

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`log-prod_binary32`
383×	`exp-prod_binary32`
313×	`pow-prod-down_binary32`
263×	`pow2_binary32`
187×	`pow-unpow_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	211	36
2	2669	36

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

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

Outputs

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

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

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

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

517×	`associate-/r/_binary32`
498×	`times-frac_binary32`
464×	`fma-def_binary32`
327×	`associate-/r*_binary32`
312×	`distribute-rgt-out_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	91	766
1	296	747
2	998	654
3	4240	600
4	6662	598

Stop Event

1×	node limit

Counts

120 → 135

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 -314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (.f32 -314159265359/100000000000 (/.f32 (.f32 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 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 -314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2)))))
(+.f32 (.f32 314159265359/160000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) u2)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 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) u2))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (*.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2))))
(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 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (/.f32 (.f32 -314159265359/100000000000 u2) (*.f32 (sqrt.f32 -1) u1)))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 -314159265359/100000000000 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1))))
(.f32 u2 (+.f32 (.f32 314159265359/50000000000 (sqrt.f32 -1)) (/.f32 -314159265359/100000000000 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 -314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (*.f32 u1 u1))))))
(fma.f32 -314159265359/100000000000 (+.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (/.f32 u2 u1) u1))) (.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2)))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) (*.f32 u1 u1)))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 (/.f32 -314159265359/100000000000 (*.f32 (sqrt.f32 -1) u1)) (+.f32 u2 (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) u1))))
(+.f32 (.f32 -314159265359/100000000000 (/.f32 (.f32 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 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 -314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(fma.f32 -314159265359/100000000000 (.f32 (/.f32 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))) (fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (.f32 u1 u1)))))))
(fma.f32 -314159265359/100000000000 (/.f32 (fma.f32 u2 (/.f32 (+.f32 1/2 (.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) 1/2)) -1) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -314159265359/100000000000 (+.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (/.f32 u2 u1) u1))) (.f32 314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (fma.f32 -314159265359/100000000000 (/.f32 (fma.f32 u2 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) (.f32 u1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (.f32 (/.f32 u2 (.f32 u1 u1)) (+.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (+.f32 1/2 (*.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) u1))))))
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 314159265359/100000000000 (*.f32 (/.f32 (sqrt.f32 -1) u1) u2)))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 314159265359/100000000000 (*.f32 (/.f32 u2 u1) (sqrt.f32 -1))))
(.f32 (.f32 (sqrt.f32 -1) u2) (+.f32 314159265359/50000000000 (/.f32 314159265359/100000000000 u1)))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2)))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (.f32 u1 u1)))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/100000000000 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (.f32 942477796077/400000000000 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 u2 u1)))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 (*.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (+.f32 314159265359/100000000000 (/.f32 942477796077/400000000000 u1))))
(+.f32 (.f32 314159265359/160000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))))))
(fma.f32 314159265359/160000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3)) (fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (*.f32 u1 u1))))))
(fma.f32 314159265359/160000000000 (/.f32 u2 (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/100000000000 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (.f32 942477796077/400000000000 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 u2 u1))))))
(fma.f32 314159265359/160000000000 (.f32 (/.f32 u2 (pow.f32 u1 3)) (sqrt.f32 -1)) (fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 (.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (+.f32 314159265359/100000000000 (/.f32 942477796077/400000000000 u1)))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 (.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (+.f32 314159265359/100000000000 (+.f32 (/.f32 314159265359/160000000000 (.f32 u1 u1)) (/.f32 942477796077/400000000000 u1)))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) u2))
(fma.f32 (sqrt.f32 -1) u2 (*.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) -1/2))
(*.f32 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)) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) u2)))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) u2)))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (/.f32 u2 u1) u1)) (fma.f32 (sqrt.f32 -1) u2 (.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) -1/2)))
(fma.f32 (sqrt.f32 -1) u2 (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) (.f32 u1 u1)))))
(fma.f32 (sqrt.f32 -1) u2 (*.f32 (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1)) (+.f32 (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) u1) u2)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 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) u2))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 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) u2))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (/.f32 u2 u1) u1)) (fma.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) -1/2 (fma.f32 -1/2 (/.f32 (fma.f32 u2 (/.f32 (+.f32 1/2 (.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) 1/2)) -1) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) u2))))
(fma.f32 -1/2 (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) u2 (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (fma.f32 u2 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) u2) (pow.f32 u1 3))))))
(+.f32 (.f32 (sqrt.f32 -1) u2) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (*.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 u2 u1)) (/.f32 (fma.f32 u2 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) u2) (pow.f32 u1 3)))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (.f32 (sqrt.f32 -1) u2))
(fma.f32 (sqrt.f32 -1) u2 (.f32 1/2 (.f32 (/.f32 u2 u1) (sqrt.f32 -1))))
(.f32 u2 (.f32 (+.f32 (/.f32 1/2 u1) 1) (sqrt.f32 -1)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (fma.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) u2) (.f32 u1 u1)) (*.f32 (sqrt.f32 -1) u2)))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (fma.f32 (sqrt.f32 -1) u2 (.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 u2 u1)) 3/8)))
(fma.f32 (sqrt.f32 -1) u2 (.f32 (.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (+.f32 (/.f32 3/8 u1) 1/2)))
(fma.f32 (sqrt.f32 -1) u2 (.f32 (.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (fma.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3)) (fma.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) u2) (.f32 u1 u1)) (.f32 (sqrt.f32 -1) u2))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (fma.f32 (/.f32 u2 (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))) 5/16 (fma.f32 (sqrt.f32 -1) u2 (.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 u2 u1)) 3/8))))
(fma.f32 1/2 (.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (fma.f32 (sqrt.f32 -1) u2 (.f32 (.f32 u2 (/.f32 (sqrt.f32 -1) (.f32 u1 u1))) (+.f32 3/8 (/.f32 5/16 u1)))))
(+.f32 (.f32 (sqrt.f32 -1) u2) (.f32 (.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (+.f32 (/.f32 3/8 u1) (+.f32 1/2 (/.f32 5/16 (.f32 u1 u1))))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(-.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 (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 (/.f32 -1/2 u1) (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (*.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 1/2 (.f32 (sqrt.f32 -1) u1)))
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 -1/2 (.f32 (sqrt.f32 -1) u1)))
(+.f32 (+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)) (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)))))
(+.f32 (+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))) (.f32 (/.f32 -1/2 (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (+.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (+.f32 1/2 (.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) u1))))
(+.f32 (sqrt.f32 -1) (fma.f32 (/.f32 -1/2 (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (+.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (+.f32 1/2 (*.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) u1)) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (/.f32 (*.f32 1/2 (sqrt.f32 -1)) u1))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(*.f32 (+.f32 (/.f32 1/2 u1) 1) (sqrt.f32 -1))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (/.f32 (.f32 1/2 (sqrt.f32 -1)) u1)))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) 1/2)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (/.f32 (.f32 1/2 (sqrt.f32 -1)) u1))))
(+.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 -1)))
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) 1/2)))
(+.f32 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) (+.f32 1/2 (/.f32 5/16 (.f32 u1 u1))))))

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 32 to 15 computations (53.1% saved)

series6.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`pow1_binary32`
741×	`add-log-exp_binary32`
741×	`log1p-expm1-u_binary32`
741×	`expm1-log1p-u_binary32`
724×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	178	20
2	2031	20

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (fma.f32 u1 u1 u1))

Outputs

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

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

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

868×	`fma-def_binary32`
351×	`*-commutative_binary32`
296×	`times-frac_binary32`
285×	`associate-/r*_binary32`
283×	`cancel-sign-sub-inv_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	589
1	216	537
2	530	459
3	1353	422
4	3626	410
5	7157	410

Stop Event

1×	node limit

Counts

62 → 74

Calls

Call 1

Inputs
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)
(+.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 1/2 (sin.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (+.f32 (.f32 1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1))))
(+.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (+.f32 (.f32 1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))) (.f32 -1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)))))
(.f32 -1 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))
(+.f32 (.f32 -1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))
(+.f32 (.f32 -1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)) (.f32 -1 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))))
(+.f32 (.f32 -1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))) (+.f32 (.f32 -1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)) (.f32 -1 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))))
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 3))) (.f32 314159265359/50000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)))
(+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 5))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 3))) (.f32 314159265359/50000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))))
(+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 5))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 3))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 7))) (.f32 314159265359/50000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)))))
(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
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
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)
(+.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 1/2 (sin.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1/2))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (+.f32 u1 1/2))
(+.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (+.f32 (.f32 1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1 (fma.f32 1/2 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1))))
(+.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (+.f32 u1 1/2)) (.f32 -1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (+.f32 u1 1/2) (.f32 -1/8 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (+.f32 u1 1/2) (/.f32 -1/8 u1)))
(+.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (+.f32 (.f32 1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))) (.f32 -1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1 (fma.f32 1/2 (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)) (.f32 -1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)))))
(+.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (+.f32 u1 1/2)) (fma.f32 -1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 1/16 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) u1))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (+.f32 u1 1/2) (.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (+.f32 -1/8 (/.f32 1/16 u1))))
(fma.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (+.f32 -1/8 (/.f32 1/16 u1)) (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (+.f32 u1 1/2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (+.f32 u1 1/2) (-.f32 (/.f32 (/.f32 1/16 u1) u1) (/.f32 1/8 u1))))
(.f32 -1 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))
(neg.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 u1))
(+.f32 (.f32 -1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))
(fma.f32 -1/2 (sin.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))
(-.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) -1/2) (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (-.f32 -1/2 u1))
(+.f32 (.f32 -1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)) (.f32 -1 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))))
(fma.f32 -1/2 (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (neg.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1))))
(-.f32 (fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) -1/2 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) 1/8)) (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))
(fma.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) 1/8 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 -1/2 u1)))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (-.f32 -1/2 u1) (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1/8 u1)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)))
(+.f32 (.f32 -1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))) (+.f32 (.f32 -1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)) (.f32 -1 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1)))))
(fma.f32 -1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)) (fma.f32 -1/2 (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (neg.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)))))
(fma.f32 (/.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) u1) -1/16 (-.f32 (fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) -1/2 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) 1/8)) (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)))
(fma.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)) -1/16 (fma.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) 1/8 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (-.f32 -1/2 u1))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (-.f32 -1/2 u1) (.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1) (+.f32 (/.f32 -1/16 u1) 1/8)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (/.f32 1/8 u1) (+.f32 (-.f32 -1/2 u1) (/.f32 (/.f32 -1/16 u1) u1))))
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))
(.f32 (.f32 314159265359/50000000000 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))) u2)
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (fma.f32 u1 u1 u1))))
(.f32 314159265359/50000000000 (.f32 u2 (hypot.f32 u1 (sqrt.f32 u1))))
(.f32 (.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
(+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 3))) (.f32 314159265359/50000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (pow.f32 u2 3)) (.f32 (.f32 314159265359/50000000000 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))) u2))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))) (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000)))
(.f32 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (hypot.f32 u1 (sqrt.f32 u1)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 5))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 3))) (.f32 314159265359/50000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2))))
(fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (pow.f32 u2 5)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (pow.f32 u2 3)) (.f32 (.f32 314159265359/50000000000 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))) u2)))
(fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (pow.f32 u2 5)) (fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))) (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000))))
(fma.f32 (hypot.f32 u1 (sqrt.f32 u1)) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (.f32 314159265359/50000000000 u2))))
(.f32 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(.f32 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 (.f32 314159265359/50000000000 u2) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 5))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 3))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (pow.f32 u2 7))) (.f32 314159265359/50000000000 (.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) u2)))))
(fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (pow.f32 u2 5)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (pow.f32 u2 3)) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (pow.f32 u2 7)) (.f32 (.f32 314159265359/50000000000 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))) u2))))
(fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (pow.f32 u2 5)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (pow.f32 u2 3)) (fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))) (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (*.f32 (pow.f32 u2 7) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))))
(+.f32 (.f32 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))) (.f32 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (.f32 314159265359/50000000000 u2)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (hypot.f32 u1 (sqrt.f32 u1)))
(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (hypot.f32 u1 (sqrt.f32 u1)))
(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (hypot.f32 u1 (sqrt.f32 u1)))
(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (hypot.f32 u1 (sqrt.f32 u1)))
(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (hypot.f32 u1 (sqrt.f32 u1)))
(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (hypot.f32 u1 (sqrt.f32 u1)))
(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (hypot.f32 u1 (sqrt.f32 u1)))
(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 2) u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (hypot.f32 u1 (sqrt.f32 u1)))
u1
(+.f32 1/2 u1)
(+.f32 u1 1/2)
(-.f32 (+.f32 1/2 u1) (*.f32 1/8 (/.f32 1 u1)))
(+.f32 1/2 (-.f32 u1 (/.f32 1/8 u1)))
(+.f32 u1 (-.f32 1/2 (/.f32 1/8 u1)))
(+.f32 (+.f32 u1 1/2) (/.f32 -1/8 u1))
(-.f32 (+.f32 1/2 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u1 2))) u1)) (.f32 1/8 (/.f32 1 u1)))
(+.f32 1/2 (-.f32 (+.f32 u1 (/.f32 1/16 (*.f32 u1 u1))) (/.f32 1/8 u1)))
(+.f32 1/2 (+.f32 (/.f32 1/16 (*.f32 u1 u1)) (+.f32 u1 (/.f32 -1/8 u1))))
(+.f32 u1 (+.f32 (+.f32 1/2 (/.f32 1/16 (*.f32 u1 u1))) (/.f32 -1/8 u1)))
(+.f32 (+.f32 (+.f32 u1 1/2) (/.f32 -1/8 u1)) (/.f32 1/16 (*.f32 u1 u1)))
(+.f32 (+.f32 u1 1/2) (-.f32 (/.f32 (/.f32 1/16 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 -1/2 (-.f32 (/.f32 1/8 u1) u1))
(+.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 (+.f32 (fma.f32 -1 u1 (/.f32 1/8 u1)) -1/2) (/.f32 1/16 (*.f32 u1 u1)))
(-.f32 (+.f32 -1/2 (-.f32 (/.f32 1/8 u1) u1)) (/.f32 1/16 (*.f32 u1 u1)))
(-.f32 (/.f32 1/8 u1) (+.f32 u1 (+.f32 1/2 (/.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 -1/2 u1) (/.f32 (/.f32 -1/16 u1) u1)))

localize79.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	1.4b	(exp.f32 (log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))

Compiler

Compiled 52 to 38 computations (26.9% saved)

series84.0ms (0.6%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
57.0ms	u2	@	inf	(log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
23.0ms	u2	@	-inf	(log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms	u2	@	0	(exp.f32 (log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	252	31
2	3028	31

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs

(exp.f32 (log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))

(log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))

Outputs

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

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

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

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

655×	`distribute-rgt-out_binary32`
625×	`associate-/l/_binary32`
478×	`fma-def_binary32`
448×	`unswap-sqr_binary32`
371×	`associate-/r/_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	104	851
1	297	800
2	898	736
3	3632	644
4	6538	634

Stop Event

1×	node limit

Counts

128 → 129

Calls

Call 1

Inputs
(*.f32 314159265359/50000000000 u2)
(+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))
(+.f32 (log.f32 u2) (+.f32 (*.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)) (log.f32 314159265359/50000000000)))
(+.f32 (log.f32 u2) (+.f32 (.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)) (+.f32 (log.f32 314159265359/50000000000) (.f32 -9740909103402808085817682884085781839780052161/1125000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/44296875000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 (log.f32 u2) (+.f32 (.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)) (+.f32 (log.f32 314159265359/50000000000) (*.f32 -9740909103402808085817682884085781839780052161/1125000000000000000000000000000000000000000000 (pow.f32 u2 4))))))

Outputs
(*.f32 314159265359/50000000000 u2)
(+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))
(+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 314159265359/50000000000 u2))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (.f32 (sin.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 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (.f32 -1/2 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (pow.f32 u1 3)))))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)) (+.f32 (/.f32 5/8 u1) 3/4)))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 -1/2 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) u1) (+.f32 (/.f32 5/8 (*.f32 u1 u1)) (+.f32 (/.f32 3/4 u1) 1)))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) u1)))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (/.f32 (.f32 (.f32 1/2 (sqrt.f32 -1)) (sin.f32 (.f32 314159265359/50000000000 u2))) u1))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 1/2 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))
(.f32 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 1/2 u1) 1))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))) (.f32 1/2 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) u1))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sin.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 1/2 (sqrt.f32 -1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (sqrt.f32 -1)) (+.f32 1/2 (/.f32 3/8 u1))))
(.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (+.f32 (/.f32 1/2 u1) 1) (/.f32 3/8 (.f32 u1 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (sin.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))) (.f32 1/2 (/.f32 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) u1)))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 5/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sin.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 1/2 (sqrt.f32 -1)) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (fma.f32 1/2 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (.f32 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (sqrt.f32 -1)) (+.f32 3/8 (/.f32 5/16 u1)))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (sqrt.f32 -1)) (+.f32 1/2 (+.f32 (/.f32 5/16 (*.f32 u1 u1)) (/.f32 3/8 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (.f32 314159265359/50000000000 u2)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))
(+.f32 (log.f32 u2) (+.f32 (*.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)) (log.f32 314159265359/50000000000)))
(+.f32 (log.f32 u2) (fma.f32 -98696044010906577398881/15000000000000000000000 (*.f32 u2 u2) (log.f32 314159265359/50000000000)))
(+.f32 (log.f32 u2) (fma.f32 u2 (*.f32 u2 -98696044010906577398881/15000000000000000000000) (log.f32 314159265359/50000000000)))
(+.f32 (log.f32 u2) (+.f32 (.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)) (+.f32 (log.f32 314159265359/50000000000) (.f32 -9740909103402808085817682884085781839780052161/1125000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (log.f32 u2) (+.f32 (fma.f32 -98696044010906577398881/15000000000000000000000 (.f32 u2 u2) (log.f32 314159265359/50000000000)) (.f32 -9740909103402808085817682884085781839780052161/1125000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (log.f32 u2) (fma.f32 -98696044010906577398881/15000000000000000000000 (*.f32 u2 u2) (fma.f32 -9740909103402808085817682884085781839780052161/1125000000000000000000000000000000000000000000 (pow.f32 u2 4) (log.f32 314159265359/50000000000))))
(+.f32 (log.f32 u2) (fma.f32 u2 (*.f32 u2 -98696044010906577398881/15000000000000000000000) (fma.f32 -9740909103402808085817682884085781839780052161/1125000000000000000000000000000000000000000000 (pow.f32 u2 4) (log.f32 314159265359/50000000000))))
(+.f32 (fma.f32 -9740909103402808085817682884085781839780052161/1125000000000000000000000000000000000000000000 (pow.f32 u2 4) (log.f32 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 -98696044010906577398881/15000000000000000000000) (log.f32 u2)))
(+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/44296875000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 (log.f32 u2) (+.f32 (.f32 -98696044010906577398881/15000000000000000000000 (pow.f32 u2 2)) (+.f32 (log.f32 314159265359/50000000000) (*.f32 -9740909103402808085817682884085781839780052161/1125000000000000000000000000000000000000000000 (pow.f32 u2 4))))))
(fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/44296875000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (+.f32 (log.f32 u2) (+.f32 (fma.f32 -98696044010906577398881/15000000000000000000000 (.f32 u2 u2) (log.f32 314159265359/50000000000)) (.f32 -9740909103402808085817682884085781839780052161/1125000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (fma.f32 -98696044010906577398881/15000000000000000000000 (*.f32 u2 u2) (fma.f32 -9740909103402808085817682884085781839780052161/1125000000000000000000000000000000000000000000 (pow.f32 u2 4) (log.f32 314159265359/50000000000))) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/44296875000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (log.f32 u2)))
(+.f32 (fma.f32 -9740909103402808085817682884085781839780052161/1125000000000000000000000000000000000000000000 (pow.f32 u2 4) (log.f32 314159265359/50000000000)) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/44296875000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 u2 (*.f32 u2 -98696044010906577398881/15000000000000000000000) (log.f32 u2))))
(fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/44296875000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (+.f32 (fma.f32 -9740909103402808085817682884085781839780052161/1125000000000000000000000000000000000000000000 (pow.f32 u2 4) (log.f32 314159265359/50000000000)) (fma.f32 u2 (*.f32 u2 -98696044010906577398881/15000000000000000000000) (log.f32 u2))))

localize93.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	0.6b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)
✓	2.1b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)

Compiler

Compiled 65 to 49 computations (24.6% saved)

series97.0ms (0.7%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
43.0ms	u1	@	0	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (.f32 314159265359/50000000000 u2)))
33.0ms	u1	@	-inf	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (.f32 314159265359/50000000000 u2)))
14.0ms	u2	@	0	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)
1.0ms	u1	@	-inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

Outputs

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

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

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

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-def_binary32`
479×	`times-frac_binary32`
460×	`fma-neg_binary32`
446×	`div-sub_binary32`
444×	`associate-/r*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	1280
1	473	1182
2	1619	1117
3	7020	1117

Stop Event

1×	node limit

Counts

149 → 159

Calls

Call 1

Inputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (.f32 -1 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (+.f32 (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))) (.f32 1/3 (/.f32 (-.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) (+.f32 10 (.f32 2 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3)))))))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (.f32 -1 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (+.f32 (.f32 -1/3 (/.f32 (-.f32 10 (+.f32 (.f32 -2 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3)))) (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))))
(pow.f32 u1 3)
(+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3))
(+.f32 (.f32 6 (pow.f32 u1 5)) (+.f32 (.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3)))
(+.f32 (.f32 10 (pow.f32 u1 6)) (+.f32 (.f32 6 (pow.f32 u1 5)) (+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3))))
-1
(neg.f32 (+.f32 1 (*.f32 3 (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (.f32 3 (/.f32 1 u1)))))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 10 (/.f32 1 (pow.f32 u1 3))) (*.f32 3 (/.f32 1 u1))))))
-1
(neg.f32 (+.f32 1 (*.f32 3 (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (.f32 3 (/.f32 1 u1)))))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 10 (/.f32 1 (pow.f32 u1 3))) (*.f32 3 (/.f32 1 u1))))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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 (pow.f32 -1 1/6) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1))) (.f32 (pow.f32 -1 1/6) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1))) (+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))) (.f32 (pow.f32 -1 1/6) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1))) (+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))) (+.f32 (.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))) (.f32 (pow.f32 -1 1/6) (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

Outputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 u1 (fma.f32 u1 u1 (pow.f32 u1 3)))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (fma.f32 u1 u1 (pow.f32 u1 4)))
(*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))
(+.f32 (cbrt.f32 -1) (neg.f32 (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 1 u1))))
(-.f32 (cbrt.f32 -1) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (.f32 -1 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))))
(fma.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (cbrt.f32 -1) (neg.f32 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 1 u1)))))
(fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (-.f32 (cbrt.f32 -1) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1)))
(-.f32 (fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (cbrt.f32 -1)) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (+.f32 (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))) (.f32 1/3 (/.f32 (-.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) (+.f32 10 (.f32 2 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3)))))))
(fma.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (cbrt.f32 -1) (fma.f32 -1 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 1 u1)) (.f32 1/3 (/.f32 (-.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) (+.f32 10 (.f32 2 (.f32 (+.f32 6 (.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))))))) (*.f32 (pow.f32 u1 3) (pow.f32 (cbrt.f32 -1) 2)))))))
(+.f32 (fma.f32 1/3 (/.f32 (-.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) (fma.f32 2 (.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) 10)) (.f32 (pow.f32 u1 3) (pow.f32 (cbrt.f32 -1) 2))) (/.f32 (neg.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))) u1)) (fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (cbrt.f32 -1)))
(fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (fma.f32 (/.f32 1/3 (pow.f32 (cbrt.f32 -1) 2)) (/.f32 (+.f32 (fma.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))) -2) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) -10) (pow.f32 u1 3)) (-.f32 (cbrt.f32 -1) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1))))
(fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (fma.f32 (/.f32 1/3 (pow.f32 (cbrt.f32 -1) 2)) (/.f32 (+.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) (fma.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))) -2) -10)) (pow.f32 u1 3)) (-.f32 (cbrt.f32 -1) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1))))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))
(+.f32 (cbrt.f32 -1) (neg.f32 (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 1 u1))))
(-.f32 (cbrt.f32 -1) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (.f32 -1 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))))
(fma.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (cbrt.f32 -1) (neg.f32 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 1 u1)))))
(fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (-.f32 (cbrt.f32 -1) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1)))
(-.f32 (fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (cbrt.f32 -1)) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (+.f32 (.f32 -1/3 (/.f32 (-.f32 10 (+.f32 (.f32 -2 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 6 (.f32 3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3)))) (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))))
(fma.f32 -1/3 (/.f32 (+.f32 6 (.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (cbrt.f32 -1) (fma.f32 -1/3 (/.f32 (-.f32 10 (fma.f32 -2 (.f32 (+.f32 6 (.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))) (.f32 (pow.f32 u1 3) (pow.f32 (cbrt.f32 -1) 2))) (neg.f32 (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 1 u1))))))
(+.f32 (fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (-.f32 (cbrt.f32 -1) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1))) (/.f32 -1/3 (/.f32 (.f32 (pow.f32 u1 3) (pow.f32 (cbrt.f32 -1) 2)) (-.f32 10 (fma.f32 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))) -2) (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))))))
(fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (fma.f32 (/.f32 -1/3 (pow.f32 (cbrt.f32 -1) 2)) (/.f32 (+.f32 (fma.f32 2 (*.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) 10) (/.f32 -1 (pow.f32 (cbrt.f32 -1) 2))) (pow.f32 u1 3)) (-.f32 (cbrt.f32 -1) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1))))
(fma.f32 -1/3 (/.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (fma.f32 (/.f32 -1/3 (pow.f32 (cbrt.f32 -1) 2)) (/.f32 (+.f32 10 (fma.f32 2 (*.f32 (fma.f32 3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 6) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) (/.f32 -1 (pow.f32 (cbrt.f32 -1) 2)))) (pow.f32 u1 3)) (-.f32 (cbrt.f32 -1) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1))))
(pow.f32 u1 3)
(+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3))
(fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3))
(+.f32 (.f32 6 (pow.f32 u1 5)) (+.f32 (.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3)))
(fma.f32 6 (pow.f32 u1 5) (fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3)))
(fma.f32 3 (pow.f32 u1 4) (fma.f32 6 (pow.f32 u1 5) (pow.f32 u1 3)))
(+.f32 (.f32 10 (pow.f32 u1 6)) (+.f32 (.f32 6 (pow.f32 u1 5)) (+.f32 (*.f32 3 (pow.f32 u1 4)) (pow.f32 u1 3))))
(fma.f32 10 (pow.f32 u1 6) (fma.f32 6 (pow.f32 u1 5) (fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3))))
(fma.f32 6 (pow.f32 u1 5) (fma.f32 10 (pow.f32 u1 6) (fma.f32 3 (pow.f32 u1 4) (pow.f32 u1 3))))
-1
(neg.f32 (+.f32 1 (*.f32 3 (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (/.f32 3 u1)))
(+.f32 -1 (/.f32 -3 u1))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (.f32 3 (/.f32 1 u1)))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1))))
(+.f32 -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 3 u1) (+.f32 (/.f32 6 (*.f32 u1 u1)) (/.f32 10 (pow.f32 u1 3)))))
(+.f32 -1 (-.f32 (/.f32 -3 u1) (+.f32 (/.f32 6 (*.f32 u1 u1)) (/.f32 10 (pow.f32 u1 3)))))
-1
(neg.f32 (+.f32 1 (*.f32 3 (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (/.f32 3 u1)))
(+.f32 -1 (/.f32 -3 u1))
(neg.f32 (+.f32 1 (+.f32 (.f32 6 (/.f32 1 (pow.f32 u1 2))) (.f32 3 (/.f32 1 u1)))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 3 u1) (/.f32 6 (*.f32 u1 u1))))
(+.f32 -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 3 u1) (+.f32 (/.f32 6 (*.f32 u1 u1)) (/.f32 10 (pow.f32 u1 3)))))
(+.f32 -1 (-.f32 (/.f32 -3 u1) (+.f32 (/.f32 6 (*.f32 u1 u1)) (/.f32 10 (pow.f32 u1 3)))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 -1/2 (/.f32 (.f32 u1 (sqrt.f32 -1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 u1 -1/2)) (sqrt.f32 -1)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.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) (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 -1/2 (/.f32 (.f32 u1 (sqrt.f32 -1)) (sin.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (/.f32 (sin.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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.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 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (sqrt.f32 -1)))) (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 -1/2 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1))))) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (+.f32 1 (+.f32 -1/2 (.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2))) (/.f32 (pow.f32 u1 3) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))
(.f32 (pow.f32 -1 1/6) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/6))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1))) (.f32 (pow.f32 -1 1/6) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)) (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/6)))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/6) (.f32 1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 u1 (pow.f32 -1 1/6)))))
(.f32 (pow.f32 -1 1/6) (+.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 1/2) u1)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1))) (+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))) (.f32 (pow.f32 -1 1/6) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)) (fma.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/6))))
(fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 u1 (pow.f32 -1 1/6))) (fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/6) (.f32 3/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 u1 u1) (pow.f32 -1 1/6))))))
(fma.f32 1/2 (.f32 (/.f32 (pow.f32 -1 1/6) u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (pow.f32 -1 1/6) (+.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 3/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1))) (+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 2)))) (+.f32 (.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))) (.f32 (pow.f32 -1 1/6) (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)) (fma.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))) (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/6)))))
(fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 u1 (pow.f32 -1 1/6))) (fma.f32 3/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 u1 u1) (pow.f32 -1 1/6))) (fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 -1 1/6) (.f32 5/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (pow.f32 u1 3) (pow.f32 -1 1/6)))))))
(+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 5/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))) (sin.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 1/2) u1) (.f32 3/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3)))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 7)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (fma.f32 314159265359/50000000000 u2 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

eval416.0ms (2.9%)

Compiler: Compiled 15554 to 11851 computations (23.8% saved)

prune841.0ms (5.9%)

Pruning

42 alts after pruning (40 fresh and 2 done)

	Pruned	Kept	Total
New	813	35	848
Fresh	15	5	20
Picked	1	0	1
Done	3	2	5
Total	832	42	874

Error

0.0b

Counts

874 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	1.2b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)))
	4.5b	(.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
	6.2b	(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
	6.1b	(sqrt.f32 (.f32 (pow.f32 (.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
	1.5b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.9b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (exp.f32 (log.f32 (.f32 314159265359/50000000000 u2)))))
	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
	13.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))
	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	6.3b	(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2)))
▶	3.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
	12.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))))
	6.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))) 2)
	4.6b	(.f32 (pow.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/4) 2) (sin.f32 (.f32 314159265359/50000000000 u2)))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	1.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (.f32 314159265359/50000000000 u2)))))
✓	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
	8.2b	(.f32 (sqrt.f32 u1) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
▶	8.2b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
	8.8b	(.f32 (.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
	25.7b	(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
▶	11.5b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
	0.6b	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
	6.6b	(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))
	6.1b	(.f32 314159265359/50000000000 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	8.8b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))
	6.2b	(/.f32 (.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
	25.2b	(.f32 (+.f32 u1 1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
	7.2b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))))
▶	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	7.5b	(.f32 314159265359/50000000000 (pow.f32 (pow.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3))
	6.1b	(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))))
	1.1b	(.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 1295 to 1027 computations (20.7% saved)

localize95.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 89 to 48 computations (46.1% saved)

series7.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

873×	`prod-diff_binary32`
360×	`fma-def_binary32`
281×	`log1p-udef_binary32`
280×	`expm1-udef_binary32`
244×	`log-pow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	349	24
2	4649	24

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

708×	`distribute-rgt-out_binary32`
637×	`associate-/l/_binary32`
395×	`fma-def_binary32`
375×	`associate-/r/_binary32`
354×	`unswap-sqr_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	101	979
1	296	858
2	931	769
3	3571	665
4	6817	655

Stop Event

1×	node limit

Counts

136 → 143

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))))))
(+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))

Outputs
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 -1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 -1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sqrt.f32 -1) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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)))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.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)))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sqrt.f32 -1) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)))) (fma.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.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) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (sin.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 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)))) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (pow.f32 u1 3) (+.f32 1 (+.f32 -1/2 (*.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)))))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)) (+.f32 (/.f32 5/8 u1) 3/4)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (+.f32 (+.f32 (/.f32 5/8 (.f32 u1 u1)) 1) (/.f32 3/4 u1)))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 1/2 u1) 1))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))) (.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 1/2 u1) (+.f32 (/.f32 3/8 (.f32 u1 u1)) 1)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (sin.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))) (.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (.f32 314159265359/50000000000 u2))))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 5/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) u1))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 1/2 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 3/8 (/.f32 5/16 u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (+.f32 (/.f32 5/16 (*.f32 u1 u1)) (/.f32 3/8 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1))))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))) (.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1))))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))) (pow.f32 u2 5)) (.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1))))) (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))) (+.f32 (.f32 314159265359/50000000000 u2) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (.f32 314159265359/50000000000 u2) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))) (pow.f32 u2 7)) (fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))) (pow.f32 u2 5)) (.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1))))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))) (+.f32 (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (.f32 314159265359/50000000000 u2)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))) (sin.f32 (*.f32 u2 -314159265359/50000000000)))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))) (sin.f32 (*.f32 u2 -314159265359/50000000000)))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))) (sin.f32 (*.f32 u2 -314159265359/50000000000)))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))) (sin.f32 (*.f32 u2 -314159265359/50000000000)))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (+.f32 (*.f32 u1 u1) (pow.f32 u1 3)) u1)
(+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 u1))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.f32 (+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 u1)) (pow.f32 u1 4))
(*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(-.f32 -1 (/.f32 1 u1))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))))
(-.f32 -1 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 (+.f32 1 (/.f32 1 u1)) (/.f32 1 (pow.f32 u1 3))))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (-.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 1 (*.f32 u1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(-.f32 -1 (/.f32 1 u1))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))))
(-.f32 -1 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 (+.f32 1 (/.f32 1 u1)) (/.f32 1 (pow.f32 u1 3))))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (-.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 1 (*.f32 u1 u1)))))

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 8 computations (55.6% saved)

series7.0ms (0%)

Counts

2 → 0

Calls

12 calls:

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

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary32`
581×	`add-log-exp_binary32`
581×	`log1p-expm1-u_binary32`
581×	`expm1-log1p-u_binary32`
568×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	141	15
2	1611	15

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

22 → 22

Calls

Call 1

Inputs

Outputs

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 14 computations (36.4% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify128.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1210×	`fma-def_binary32`
690×	`unswap-sqr_binary32`
654×	`sqr-pow_binary32`
594×	`cube-prod_binary32`
429×	`fabs-mul_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	196
1	79	186
2	205	170
3	661	166
4	1663	166
5	2509	166
6	2712	166
7	3154	166
8	4033	166
9	4176	166
10	4403	166
11	4858	166
12	5454	166
13	6327	166
14	7434	166

Stop Event

1×	node limit

Counts

25 → 23

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 u1))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 u1))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 u1))) (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 u1))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))

Outputs
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 (sqrt.f32 u1) (.f32 314159265359/50000000000 u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 u1))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 u1)))
(.f32 (sqrt.f32 u1) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 u1))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 u1)))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (sqrt.f32 u1) (pow.f32 u2 3)) (.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (sqrt.f32 u1))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 u1) (+.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(.f32 (sqrt.f32 u1) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 u1) (fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 u1))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 u1))) (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (sqrt.f32 u1) (pow.f32 u2 3)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 u1) (pow.f32 u2 5)) (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 u1) (pow.f32 u2 7))))))
(+.f32 (.f32 (sqrt.f32 u1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (.f32 (sqrt.f32 u1) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 (sqrt.f32 u1) (+.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 (sqrt.f32 u1) (fma.f32 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 u2 u2) 314159265359/50000000000) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 (sqrt.f32 u1) (fma.f32 314159265359/50000000000 u2 (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))))))
(.f32 (sqrt.f32 u1) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 u1) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (fma.f32 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 u2 u2) 314159265359/50000000000) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))

localize93.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
✓	0.3b	(*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
	0.4b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 59 to 43 computations (27.1% saved)

series14.0ms (0.1%)

Counts

3 → 23

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	u2	@	inf	(*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))
2.0ms	u2	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
1.0ms	u2	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
1.0ms	u2	@	-inf	(*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))

rewrite141.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`log-prod_binary32`
434×	`fma-def_binary32`
273×	`expm1-udef_binary32`
272×	`log1p-udef_binary32`
250×	`pow3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	335	40
2	4379	40

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

Inputs

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))

(*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))

(+.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) 1) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.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)))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 u1) (fma.f32 (pow.f32 (pow.f32 u2 3) 3) -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (*.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 (fma.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000)) (*.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000) (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000))) (*.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 314159265359/50000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 (pow.f32 (pow.f32 u2 3) 3) -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)) (sqrt.f32 u1)) (*.f32 (-.f32 (fma.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000)) (*.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000) (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000)) (sqrt.f32 u1)) (*.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) 3)) (fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))) (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 (pow.f32 (pow.f32 u2 3) 3) -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 (fma.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000)) (*.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000) (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 314159265359/50000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (pow.f32 (pow.f32 u2 3) 3) -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (-.f32 (fma.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000)) (*.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000) (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000))) (fma.f32 314159265359/50000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.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))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.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))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.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)))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.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))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (exp.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (exp.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.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 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.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))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 314159265359/50000000000 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 u2 3) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)) (*.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (*.f32 u2 (cbrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000)) 2) (*.f32 (*.f32 u2 (cbrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3/2)) (*.f32 (*.f32 (sqrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3/2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)) 1 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))) (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (sqrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3/2))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (sqrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3/2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 (sqrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3/2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (*.f32 (*.f32 (sqrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3/2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (*.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000) u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u2) 314159265359/50000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))) (cbrt.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3)) -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (*.f32 u2 (cbrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000)) 2)) (*.f32 u2 (cbrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (sqrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3/2))) (*.f32 (sqrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3/2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 314159265359/50000000000 u2) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3))) (cbrt.f32 (pow.f32 (exp.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (cbrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (pow.f32 u2 3) 3) -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (pow.f32 u2 3) 3) -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000) (fma.f32 314159265359/50000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (/.f32 (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000) (fma.f32 314159265359/50000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 (pow.f32 (pow.f32 u2 3) 3) -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)) (/.f32 1 (-.f32 (fma.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000)) (*.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000) (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000)) (/.f32 1 (fma.f32 314159265359/50000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (fma.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000)) (*.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (fma.f32 (pow.f32 (pow.f32 u2 3) 3) -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (-.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000) (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 (pow.f32 (pow.f32 u2 3) 3) -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)) (-.f32 (fma.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000)) (*.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 (pow.f32 (pow.f32 u2 3) 3) -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)) (fma.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 (-.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000) (*.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000) (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000)) (fma.f32 314159265359/50000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (fma.f32 (pow.f32 (pow.f32 u2 3) 3) -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (neg.f32 (-.f32 (fma.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000)) (*.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000) (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000))) (neg.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000) (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (neg.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 (fma.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000 (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000)) (*.f32 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (fma.f32 (pow.f32 (pow.f32 u2 3) 3) -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 314159265359/50000000000 u2 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (-.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000) (*.f32 (pow.f32 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (exp.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000) (+.f32 1 (expm1.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1 (expm1.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (pow.f32 (exp.f32 u2) 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (pow.f32 (exp.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3)) (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u2 314159265359/50000000000 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u2 (*.f32 (*.f32 u2 u2) -31006276680305942139213528068663279/750000000000000000000000000000000) (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 314159265359/50000000000 u2) 1 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) 1 (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u2 u2) (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)) (cbrt.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) 314159265359/50000000000) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u2 (cbrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000)) (pow.f32 (*.f32 u2 (cbrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000)) 2) (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (*.f32 u2 (cbrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000)) 2) (*.f32 u2 (cbrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000)) (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) 314159265359/50000000000) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3/2)) (*.f32 (sqrt.f32 -31006276680305942139213528068663279/750000000000000000000000000000000) (pow.f32 u2 3/2)) (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 u2 3/2) (*.f32 (pow.f32 u2 3/2) -31006276680305942139213528068663279/750000000000000000000000000000000) (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (*.f32 u2 u2) (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2)) u2 (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3/2)) (pow.f32 u2 3/2) (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 314159265359/50000000000 (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 314159265359/50000000000 (sqrt.f32 u2)) (sqrt.f32 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

719×	`distribute-rgt-in_binary32`
707×	`distribute-lft-in_binary32`
627×	`associate-/l/_binary32`
375×	`associate-/r/_binary32`
309×	`fma-def_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	830
1	195	726
2	788	675
3	4005	557

Stop Event

1×	node limit

Counts

173 → 172

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (+.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 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))
(.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) u1)) (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (pow.f32 u1 2))) (+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) u1)) (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))
(+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (pow.f32 u1 2))) (+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) u1)) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (pow.f32 u1 3))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(*.f32 314159265359/50000000000 u2)
(*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))
(*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))

Outputs
(.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 -1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(fma.f32 -1/2 (/.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 -1/2 (/.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (/.f32 (+.f32 (.f32 u2 -314159265359/100000000000) (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/1500000000000000000000000000000000)) (.f32 (sqrt.f32 -1) u1)))
(.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))
(fma.f32 -1/2 (/.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 u1 u1))) (.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))
(fma.f32 -1/2 (/.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 -1/2 (.f32 (/.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) u1) (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (+.f32 -1/2 (/.f32 -3/8 u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (+.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 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))
(fma.f32 -1/2 (.f32 (/.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (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))) (fma.f32 -1/2 (/.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 u1 u1))) (.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))
(fma.f32 -1/2 (.f32 (/.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.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)) (fma.f32 -1/2 (/.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 -1/2 (.f32 (/.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)))))))
(fma.f32 (/.f32 (+.f32 (.f32 u2 -314159265359/100000000000) (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/1500000000000000000000000000000000)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (+.f32 -1/2 (.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2))) (pow.f32 u1 3)) (fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) u1) (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (*.f32 u1 u1)))))))
(+.f32 (.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (+.f32 (/.f32 -3/8 (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1))) (.f32 (/.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 -1/2 u1) (/.f32 -5/16 (pow.f32 u1 3)))))
(.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 -1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) u1)) (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))) (.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))
(fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 1/2 (.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (/.f32 (sqrt.f32 -1) u1))))
(.f32 (.f32 (sqrt.f32 -1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 1/2 u1) 1))
(+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (pow.f32 u1 2))) (+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) u1)) (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))) (.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))
(fma.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))
(fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 (.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(fma.f32 (sqrt.f32 -1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 314159265359/50000000000 u2)) (/.f32 u1 (sqrt.f32 -1))) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (pow.f32 u1 2))) (+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) u1)) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (pow.f32 u1 3))))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))) (fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))))))
(fma.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 5/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))))
(+.f32 (fma.f32 (sqrt.f32 -1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (.f32 1/2 (.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (/.f32 (sqrt.f32 -1) u1)))) (.f32 (.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (/.f32 (sqrt.f32 -1) (.f32 u1 u1))) (+.f32 (/.f32 5/16 u1) 3/8)))
(+.f32 (.f32 (sqrt.f32 -1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (/.f32 u1 (sqrt.f32 -1))) (+.f32 1/2 (+.f32 (/.f32 5/16 (*.f32 u1 u1)) (/.f32 3/8 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -31006276680305942139213528068663279/750000000000000000000000000000000))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -31006276680305942139213528068663279/750000000000000000000000000000000))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 u2)
(*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))
(*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))

localize65.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sin.f32 (sqrt.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))
✓	0.2b	(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
✓	0.4b	(*.f32 u2 98696044010906577398881/2500000000000000000000)

Compiler

Compiled 56 to 38 computations (32.1% saved)

series7.0ms (0%)

Counts

4 → 56

Calls

15 calls:

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

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`log-prod_binary32`
421×	`pow-prod-down_binary32`
329×	`pow2_binary32`
294×	`prod-diff_binary32`
243×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	270	34
2	3323	34

Stop Event

1×	node limit

Counts

4 → 79

Calls

Call 1

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

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

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

624×	`associate-/l/_binary32`
617×	`distribute-rgt-out_binary32`
544×	`distribute-lft-in_binary32`
477×	`distribute-rgt-in_binary32`
422×	`fma-def_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	92	905
1	266	858
2	795	794
3	3232	702
4	5764	692

Stop Event

1×	node limit

Counts

135 → 120

Calls

Call 1

Inputs
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.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 314159265359/50000000000 u2)
(+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 -314159265359/50000000000 u2))

Outputs
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (.f32 -1/2 (sin.f32 (.f32 u2 314159265359/50000000000))) (.f32 (sqrt.f32 -1) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1))))
(.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (.f32 -1/2 (sin.f32 (.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.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 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 u1 u1))) (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (sqrt.f32 -1)) (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 u1 3)))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.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 (pow.f32 u1 3) (sin.f32 (*.f32 u2 314159265359/50000000000))))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) u1) (.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 u1 u1)) (+.f32 (/.f32 5/8 u1) 3/4)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1)) (+.f32 (+.f32 (/.f32 5/8 (.f32 u1 u1)) 1) (/.f32 3/4 u1)))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (.f32 1/2 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)))) u1))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 u2 314159265359/50000000000)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 1/2 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) u1))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000))) (+.f32 (/.f32 1/2 u1) 1))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (sin.f32 (.f32 u2 314159265359/50000000000)))) (/.f32 (.f32 1/2 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 u2 314159265359/50000000000))) (.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000))) (+.f32 (/.f32 1/2 u1) (+.f32 (/.f32 3/8 (.f32 u1 u1)) 1)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (sin.f32 (.f32 u2 314159265359/50000000000)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (sin.f32 (.f32 u2 314159265359/50000000000)))) (/.f32 (.f32 1/2 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000)))) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 5/16 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 u2 314159265359/50000000000))) (.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sin.f32 (.f32 u2 314159265359/50000000000)))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 1/2 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) u1)) (.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 3/8 (/.f32 5/16 u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 (+.f32 1/2 (/.f32 5/16 (*.f32 u1 u1))) (/.f32 3/8 u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (+.f32 (/.f32 3/8 u1) (/.f32 5/16 (*.f32 u1 u1))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 314159265359/50000000000 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 u2 314159265359/50000000000)))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (.f32 u2 314159265359/50000000000))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 7)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (.f32 u2 314159265359/50000000000))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (.f32 u2 314159265359/50000000000)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 u2 314159265359/50000000000 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 u2 314159265359/50000000000))
(+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(fma.f32 u2 314159265359/50000000000 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 u2 314159265359/50000000000)))
(+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 u2 314159265359/50000000000 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 u2 314159265359/50000000000))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 -314159265359/50000000000))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 -314159265359/50000000000))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 -314159265359/50000000000))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 -314159265359/50000000000))

eval341.0ms (2.4%)

Compiler: Compiled 13204 to 9462 computations (28.3% saved)

prune263.0ms (1.8%)

Pruning

49 alts after pruning (43 fresh and 6 done)

	Pruned	Kept	Total
New	603	17	620
Fresh	9	26	35
Picked	0	1	1
Done	1	5	6
Total	613	49	662

Error

0.0b

Counts

662 → 49

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
	6.2b	(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
	6.1b	(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	6.1b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (.f32 314159265359/50000000000 u2))
	6.1b	(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
	6.1b	(sqrt.f32 (.f32 (pow.f32 (.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
	1.5b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.9b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (exp.f32 (log.f32 (.f32 314159265359/50000000000 u2)))))
	11.5b	(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
	24.5b	(.f32 314159265359/50000000000 (-.f32 (+.f32 1 (.f32 u2 (sqrt.f32 u1))) 1))
	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	6.3b	(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2)))
✓	3.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
	12.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))))
	6.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))) 2)
	11.5b	(.f32 (sqrt.f32 u1) (.f32 314159265359/50000000000 u2))
▶	1.2b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	1.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (.f32 314159265359/50000000000 u2)))))
✓	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
	3.8b	(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
	8.2b	(.f32 (sqrt.f32 u1) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	8.2b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
	8.8b	(.f32 (.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
▶	25.7b	(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	15.4b	(.f32 (sqrt.f32 u1) (log.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
▶	6.1b	(.f32 314159265359/50000000000 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
	10.1b	(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
✓	11.5b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	13.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	8.8b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
	11.5b	(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
▶	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))
	23.4b	(-.f32 (+.f32 1 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))) 1)
	6.2b	(/.f32 (.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
	25.2b	(.f32 (+.f32 u1 1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
	8.3b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
	8.8b	(sqrt.f32 (.f32 u1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	1.1b	(.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	4.5b	(.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 1396 to 1108 computations (20.6% saved)

localize64.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 59 to 41 computations (30.5% saved)

series6.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`log-prod_binary32`
581×	`prod-diff_binary32`
293×	`fma-def_binary32`
243×	`log1p-udef_binary32`
242×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	284	36
2	3823	36

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

591×	`associate-/l/_binary32`
502×	`fma-def_binary32`
388×	`times-frac_binary32`
324×	`fma-neg_binary32`
262×	`associate-/r/_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	978
1	320	892
2	1049	795
3	4343	665
4	7701	665

Stop Event

1×	node limit

Counts

96 → 98

Calls

Call 1

Inputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1)))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (sin.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 -1/2 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))

Outputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 u1 (fma.f32 u1 u1 (pow.f32 u1 3)))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (fma.f32 u1 u1 (pow.f32 u1 4)))
(*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(-.f32 -1 (/.f32 1 u1))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 (/.f32 -1 u1) u1))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 (/.f32 -1 u1) u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 (*.f32 u1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 (/.f32 -1 u1) u1)) (/.f32 1 (pow.f32 u1 3)))
(+.f32 (+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 (/.f32 -1 u1) u1))) (/.f32 -1 (pow.f32 u1 3)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(-.f32 -1 (/.f32 1 u1))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 (/.f32 -1 u1) u1))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 (/.f32 -1 u1) u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 (*.f32 u1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 (/.f32 -1 u1) u1)) (/.f32 1 (pow.f32 u1 3)))
(+.f32 (+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 (/.f32 -1 u1) u1))) (/.f32 -1 (pow.f32 u1 3)))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (.f32 314159265359/50000000000 u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1)))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (pow.f32 u2 5)) (.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) (.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (.f32 314159265359/50000000000 u2) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (pow.f32 u2 5)) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (pow.f32 u2 7)) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))) (.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))) (fma.f32 314159265359/50000000000 u2 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 1 u1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1)))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1)))))
(.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (/.f32 (sin.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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (fma.f32 (/.f32 (sin.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 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1)))) (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 -1/2 u1) (+.f32 (/.f32 -5/16 (pow.f32 u1 3)) (/.f32 -3/8 (.f32 u1 u1))))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1)))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 (sqrt.f32 -1)) u1)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))))))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (+.f32 -1/2 (/.f32 -3/8 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (sin.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 -1/2 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (/.f32 (sin.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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (fma.f32 (/.f32 (sin.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 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1)))) (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))
(fma.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 -1/2 u1) (+.f32 (/.f32 -5/16 (pow.f32 u1 3)) (/.f32 -3/8 (.f32 u1 u1))))))

localize36.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series4.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite55.0ms (0.4%)

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 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)

Outputs

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

simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1172×	`fma-def_binary32`
690×	`unswap-sqr_binary32`
654×	`sqr-pow_binary32`
594×	`cube-prod_binary32`
430×	`fabs-mul_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	88
1	66	85
2	182	74
3	560	70
4	1558	70
5	2456	70
6	2659	70
7	3101	70
8	3980	70
9	4123	70
10	4350	70
11	4808	70
12	5404	70
13	6277	70
14	7386	70

Stop Event

1×	node limit

Counts

15 → 18

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 u2 u1))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 u1)) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) u1)))
(+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) u1)) (+.f32 (.f32 314159265359/50000000000 (.f32 u2 u1)) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) u1))))
(+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) u1)) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) u1)) (+.f32 (.f32 314159265359/50000000000 (.f32 u2 u1)) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) u1)))))

Outputs
(.f32 314159265359/50000000000 (.f32 u2 u1))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 u1)) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) u1)))
(fma.f32 314159265359/50000000000 (.f32 u2 u1) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u1 (pow.f32 u2 3))))
(.f32 u1 (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 u1 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (.f32 u2 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000))
(.f32 (.f32 u2 u1) (fma.f32 u2 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000))
(.f32 u2 (.f32 u1 (fma.f32 u2 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)))
(+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) u1)) (+.f32 (.f32 314159265359/50000000000 (.f32 u2 u1)) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) u1))))
(fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 u1 (pow.f32 u2 5)) (fma.f32 314159265359/50000000000 (.f32 u2 u1) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 u1 (pow.f32 u2 3)))))
(fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 u1 (pow.f32 u2 5)) (.f32 u1 (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(.f32 u1 (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 314159265359/50000000000 u2))))
(.f32 u1 (fma.f32 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 u2 u2) 314159265359/50000000000) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(.f32 u1 (fma.f32 u2 (fma.f32 u2 (.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) u1)) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) u1)) (+.f32 (.f32 314159265359/50000000000 (.f32 u2 u1)) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) u1)))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 u1 (pow.f32 u2 7)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 u1 (pow.f32 u2 5)) (fma.f32 314159265359/50000000000 (.f32 u2 u1) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u1 (pow.f32 u2 3))))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 u1 (pow.f32 u2 7)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 u1 (pow.f32 u2 5)) (.f32 u1 (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))))
(.f32 u1 (+.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 u1 (fma.f32 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 u2 u2) 314159265359/50000000000) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 u1 (fma.f32 314159265359/50000000000 u2 (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))))))
(.f32 u1 (fma.f32 u2 (fma.f32 u2 (.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))

localize72.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 27 computations (44.9% saved)

series7.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

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

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`log-prod_binary32`
378×	`pow-prod-down_binary32`
288×	`pow2_binary32`
223×	`pow-unpow_binary32`
201×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	233	40
2	2995	40

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

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

Outputs

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

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

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

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-def_binary32`
659×	`distribute-rgt-out_binary32`
515×	`fma-neg_binary32`
514×	`times-frac_binary32`
340×	`associate-/l*_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	1298
1	331	1264
2	1177	1155
3	5668	1130

Stop Event

1×	node limit

Counts

159 → 145

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 -314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (.f32 -314159265359/100000000000 (/.f32 (.f32 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 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 -314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2)))))
(+.f32 (.f32 314159265359/160000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 u2 2) u1)
(+.f32 (.f32 (pow.f32 u2 2) u1) (.f32 (pow.f32 u2 2) (pow.f32 u1 2)))
(+.f32 (.f32 (pow.f32 u2 2) u1) (+.f32 (.f32 (pow.f32 u2 2) (pow.f32 u1 2)) (*.f32 (pow.f32 u2 2) (pow.f32 u1 3))))
(+.f32 (.f32 (pow.f32 u2 2) u1) (+.f32 (.f32 (pow.f32 u2 2) (pow.f32 u1 2)) (+.f32 (.f32 (pow.f32 u2 2) (pow.f32 u1 3)) (.f32 (pow.f32 u2 2) (pow.f32 u1 4)))))
(*.f32 -1 (pow.f32 u2 2))
(+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (.f32 -1 (pow.f32 u2 2)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 -1 (pow.f32 u2 2))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 u2 2)))))
(*.f32 -1 (pow.f32 u2 2))
(+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (.f32 -1 (pow.f32 u2 2)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 -1 (pow.f32 u2 2))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 u2 2)))))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) u2)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 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) u2))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (*.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 -1 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -1 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -1 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -1 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

Outputs
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (/.f32 (.f32 -314159265359/100000000000 u2) (*.f32 (sqrt.f32 -1) u1)))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 -314159265359/100000000000 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1))))
(.f32 u2 (+.f32 (.f32 314159265359/50000000000 (sqrt.f32 -1)) (/.f32 -314159265359/100000000000 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 -314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (*.f32 u1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 -314159265359/100000000000 (+.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (/.f32 u2 (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) (*.f32 u1 u1)))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (*.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 u2 u1))))
(+.f32 (.f32 -314159265359/100000000000 (/.f32 (.f32 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 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 -314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(fma.f32 -314159265359/100000000000 (.f32 (/.f32 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))) (fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (.f32 u1 u1)))))))
(fma.f32 -314159265359/100000000000 (.f32 (/.f32 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)) (fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 -314159265359/100000000000 (+.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (/.f32 u2 (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))))))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (fma.f32 -314159265359/100000000000 (/.f32 (+.f32 u2 (.f32 -1/2 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) (*.f32 u1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 -314159265359/100000000000 (+.f32 (.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1)) (/.f32 (+.f32 u2 (.f32 -1/2 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 314159265359/100000000000 (*.f32 (/.f32 (sqrt.f32 -1) u1) u2)))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 314159265359/100000000000 (*.f32 u2 (/.f32 (sqrt.f32 -1) u1))))
(.f32 (.f32 (sqrt.f32 -1) u2) (+.f32 314159265359/50000000000 (/.f32 314159265359/100000000000 u1)))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2)))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (.f32 942477796077/400000000000 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) u2)))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/100000000000 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (.f32 942477796077/400000000000 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 u2 u1)))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 (*.f32 u2 (/.f32 (sqrt.f32 -1) u1)) (+.f32 314159265359/100000000000 (/.f32 942477796077/400000000000 u1))))
(+.f32 (.f32 314159265359/160000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))))))
(fma.f32 314159265359/160000000000 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) u2)) (fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (.f32 942477796077/400000000000 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) u2))))))
(fma.f32 314159265359/160000000000 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) u2) (fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/100000000000 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (.f32 942477796077/400000000000 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 u2 u1))))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/160000000000 (.f32 u2 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (.f32 (.f32 u2 (/.f32 (sqrt.f32 -1) u1)) (+.f32 314159265359/100000000000 (/.f32 942477796077/400000000000 u1)))))
(+.f32 (.f32 (.f32 (sqrt.f32 -1) u2) (+.f32 314159265359/50000000000 (/.f32 314159265359/100000000000 u1))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 u2 u1)) (+.f32 942477796077/400000000000 (/.f32 314159265359/160000000000 u1))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 -314159265359/50000000000))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 -314159265359/50000000000))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 -314159265359/50000000000))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 -314159265359/50000000000))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(*.f32 (pow.f32 u2 2) u1)
(.f32 u1 (.f32 u2 u2))
(.f32 u2 (.f32 u2 u1))
(+.f32 (.f32 (pow.f32 u2 2) u1) (.f32 (pow.f32 u2 2) (pow.f32 u1 2)))
(.f32 (.f32 u2 u2) (+.f32 u1 (*.f32 u1 u1)))
(.f32 u2 (.f32 u2 (+.f32 u1 (*.f32 u1 u1))))
(.f32 u2 (.f32 u2 (fma.f32 u1 u1 u1)))
(+.f32 (.f32 (pow.f32 u2 2) u1) (+.f32 (.f32 (pow.f32 u2 2) (pow.f32 u1 2)) (*.f32 (pow.f32 u2 2) (pow.f32 u1 3))))
(fma.f32 (.f32 u2 u2) u1 (.f32 (.f32 u2 u2) (+.f32 (.f32 u1 u1) (pow.f32 u1 3))))
(.f32 (.f32 u2 u2) (+.f32 u1 (fma.f32 u1 u1 (pow.f32 u1 3))))
(.f32 (.f32 u2 u2) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(.f32 u2 (.f32 u2 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(+.f32 (.f32 (pow.f32 u2 2) u1) (+.f32 (.f32 (pow.f32 u2 2) (pow.f32 u1 2)) (+.f32 (.f32 (pow.f32 u2 2) (pow.f32 u1 3)) (.f32 (pow.f32 u2 2) (pow.f32 u1 4)))))
(+.f32 (.f32 (.f32 u2 u2) (+.f32 u1 (.f32 u1 u1))) (.f32 (*.f32 u2 u2) (+.f32 (pow.f32 u1 3) (pow.f32 u1 4))))
(.f32 (.f32 u2 u2) (+.f32 (+.f32 u1 (*.f32 u1 u1)) (+.f32 (pow.f32 u1 3) (pow.f32 u1 4))))
(.f32 (.f32 u2 u2) (.f32 (+.f32 (.f32 u1 u1) 1) (fma.f32 u1 u1 u1)))
(*.f32 -1 (pow.f32 u2 2))
(neg.f32 (*.f32 u2 u2))
(*.f32 u2 (neg.f32 u2))
(+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (.f32 -1 (pow.f32 u2 2)))
(.f32 -1 (+.f32 (/.f32 (.f32 u2 u2) u1) (*.f32 u2 u2)))
(-.f32 (neg.f32 (/.f32 u2 (/.f32 u1 u2))) (*.f32 u2 u2))
(neg.f32 (fma.f32 u2 u2 (*.f32 (/.f32 u2 u1) u2)))
(*.f32 u2 (-.f32 (neg.f32 u2) (/.f32 u2 u1)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 -1 (pow.f32 u2 2))))
(fma.f32 -1 (/.f32 (.f32 u2 u2) u1) (fma.f32 -1 (/.f32 (.f32 u2 u2) (.f32 u1 u1)) (neg.f32 (.f32 u2 u2))))
(-.f32 (-.f32 (neg.f32 (.f32 (/.f32 u2 u1) (/.f32 u2 u1))) (.f32 u2 u2)) (/.f32 u2 (/.f32 u1 u2)))
(-.f32 (.f32 (.f32 (/.f32 u2 u1) u2) (+.f32 -1 (/.f32 -1 u1))) (*.f32 u2 u2))
(+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 u2 2)))))
(fma.f32 -1 (/.f32 (.f32 u2 u2) u1) (fma.f32 -1 (/.f32 (.f32 u2 u2) (pow.f32 u1 3)) (fma.f32 -1 (/.f32 (.f32 u2 u2) (.f32 u1 u1)) (neg.f32 (*.f32 u2 u2)))))
(-.f32 (-.f32 (-.f32 (neg.f32 (.f32 (/.f32 u2 u1) (/.f32 u2 u1))) (.f32 u2 u2)) (/.f32 (*.f32 u2 u2) (pow.f32 u1 3))) (/.f32 u2 (/.f32 u1 u2)))
(-.f32 (.f32 (.f32 (/.f32 u2 u1) (/.f32 u2 u1)) (+.f32 (/.f32 -1 u1) -1)) (fma.f32 u2 u2 (*.f32 (/.f32 u2 u1) u2)))
(-.f32 (.f32 (.f32 (/.f32 u2 u1) (/.f32 u2 u1)) (+.f32 -1 (/.f32 -1 u1))) (*.f32 u2 (+.f32 u2 (/.f32 u2 u1))))
(*.f32 -1 (pow.f32 u2 2))
(neg.f32 (*.f32 u2 u2))
(*.f32 u2 (neg.f32 u2))
(+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (.f32 -1 (pow.f32 u2 2)))
(.f32 -1 (+.f32 (/.f32 (.f32 u2 u2) u1) (*.f32 u2 u2)))
(-.f32 (neg.f32 (/.f32 u2 (/.f32 u1 u2))) (*.f32 u2 u2))
(neg.f32 (fma.f32 u2 u2 (*.f32 (/.f32 u2 u1) u2)))
(*.f32 u2 (-.f32 (neg.f32 u2) (/.f32 u2 u1)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (*.f32 -1 (pow.f32 u2 2))))
(fma.f32 -1 (/.f32 (.f32 u2 u2) u1) (fma.f32 -1 (/.f32 (.f32 u2 u2) (.f32 u1 u1)) (neg.f32 (.f32 u2 u2))))
(-.f32 (-.f32 (neg.f32 (.f32 (/.f32 u2 u1) (/.f32 u2 u1))) (.f32 u2 u2)) (/.f32 u2 (/.f32 u1 u2)))
(-.f32 (.f32 (.f32 (/.f32 u2 u1) u2) (+.f32 -1 (/.f32 -1 u1))) (*.f32 u2 u2))
(+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (.f32 -1 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 u2 2)))))
(fma.f32 -1 (/.f32 (.f32 u2 u2) u1) (fma.f32 -1 (/.f32 (.f32 u2 u2) (pow.f32 u1 3)) (fma.f32 -1 (/.f32 (.f32 u2 u2) (.f32 u1 u1)) (neg.f32 (*.f32 u2 u2)))))
(-.f32 (-.f32 (-.f32 (neg.f32 (.f32 (/.f32 u2 u1) (/.f32 u2 u1))) (.f32 u2 u2)) (/.f32 (*.f32 u2 u2) (pow.f32 u1 3))) (/.f32 u2 (/.f32 u1 u2)))
(-.f32 (.f32 (.f32 (/.f32 u2 u1) (/.f32 u2 u1)) (+.f32 (/.f32 -1 u1) -1)) (fma.f32 u2 u2 (*.f32 (/.f32 u2 u1) u2)))
(-.f32 (.f32 (.f32 (/.f32 u2 u1) (/.f32 u2 u1)) (+.f32 -1 (/.f32 -1 u1))) (*.f32 u2 (+.f32 u2 (/.f32 u2 u1))))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 u2 u2))
(/.f32 (*.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))
(/.f32 (*.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 u2 u2))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) u2))
(fma.f32 (sqrt.f32 -1) u2 (*.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) -1/2))
(fma.f32 (sqrt.f32 -1) u2 (/.f32 (*.f32 (/.f32 -1/2 u1) u2) (sqrt.f32 -1)))
(.f32 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)) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) u2)))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) u2)))
(fma.f32 -1/2 (/.f32 u2 (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (fma.f32 (sqrt.f32 -1) u2 (*.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) -1/2)))
(fma.f32 (sqrt.f32 -1) u2 (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) (.f32 u1 u1)))))
(fma.f32 (sqrt.f32 -1) u2 (.f32 -1/2 (.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 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) u2))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 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) u2))))
(fma.f32 -1/2 (/.f32 u2 (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (fma.f32 (/.f32 (/.f32 u2 u1) (sqrt.f32 -1)) -1/2 (fma.f32 (sqrt.f32 -1) u2 (.f32 -1/2 (.f32 (/.f32 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))))))
(fma.f32 -1/2 (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) u2 (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (+.f32 u2 (.f32 -1/2 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2))) (pow.f32 u1 3))))))
(fma.f32 -1/2 (.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1)) (fma.f32 (sqrt.f32 -1) u2 (.f32 -1/2 (/.f32 (+.f32 u2 (.f32 -1/2 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 (sqrt.f32 -1) u2 (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) u2)))
(fma.f32 (sqrt.f32 -1) u2 (.f32 1/2 (.f32 u2 (/.f32 (sqrt.f32 -1) u1))))
(.f32 (.f32 (sqrt.f32 -1) u2) (+.f32 (/.f32 1/2 u1) 1))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) u2)) (.f32 (sqrt.f32 -1) u2)))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (fma.f32 (sqrt.f32 -1) u2 (.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 u2 u1)) 3/8)))
(fma.f32 (sqrt.f32 -1) u2 (.f32 (.f32 u2 (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) u2)) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) u2)) (.f32 (sqrt.f32 -1) u2))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (fma.f32 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) u2) 5/16 (fma.f32 (sqrt.f32 -1) u2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 u2 u1)) 3/8))))
(fma.f32 1/2 (.f32 u2 (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) u2 (.f32 (.f32 (/.f32 u2 (.f32 u1 u1)) (sqrt.f32 -1)) (+.f32 (/.f32 5/16 u1) 3/8))))
(+.f32 (.f32 (.f32 (sqrt.f32 -1) u2) (+.f32 (/.f32 1/2 u1) 1)) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 u2 u1)) (+.f32 (/.f32 5/16 u1) 3/8)))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 -1 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(neg.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -1 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(neg.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -1 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(neg.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -1 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(neg.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 u2 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

localize138.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 38 computations (28.3% saved)

series8.0ms (0.1%)

Counts

4 → 60

Calls

18 calls:

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

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`log-prod_binary32`
321×	`pow-prod-down_binary32`
304×	`pow2_binary32`
211×	`pow1/3_binary32`
207×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	255	46
2	3127	46

Stop Event

1×	node limit

Counts

4 → 116

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.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 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.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))) (.f32 314159265359/50000000000 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 u2 u2)) 98696044010906577398881/2500000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.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))) (.f32 314159265359/50000000000 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.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))) (.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.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))) (.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))) (.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))) (.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))) (.f32 314159265359/50000000000 u2))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 u1 3/2) (pow.f32 (-.f32 1 u1) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 5/2) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 9/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 3/4) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 u2 u2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 9/2) 1/9)))) (#(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)) 1/6) 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 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 3/4)))) (#(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) u1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) -1)))) (#(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 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 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))))) (#(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 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/2))))) (#(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 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 2 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3/4))))) (#(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 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 1))))))

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

584×	`times-frac_binary32`
558×	`fma-def_binary32`
429×	`associate-/r*_binary32`
382×	`distribute-rgt-out_binary32`
360×	`associate-/l*_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	1388
1	406	1362
2	1310	1226
3	5628	1162

Stop Event

1×	node limit

Counts

176 → 170

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 -314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (.f32 -314159265359/100000000000 (/.f32 (.f32 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 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 -314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2)))))
(+.f32 (.f32 314159265359/160000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))))))
(sqrt.f32 (pow.f32 u1 3))
(+.f32 (*.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 (pow.f32 u1 3)))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (.f32 15/8 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 35/16 (sqrt.f32 (pow.f32 u1 9))) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) u2)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 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) u2))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (*.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (sqrt.f32 -1) (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (.f32 -1/2 (/.f32 (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))

Outputs
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 314159265359/50000000000))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 -1)))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (.f32 -314159265359/100000000000 (/.f32 u2 (*.f32 u1 (sqrt.f32 -1)))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (/.f32 u2 u1)))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 -314159265359/100000000000 u1)))
(.f32 u2 (+.f32 (.f32 314159265359/50000000000 (sqrt.f32 -1)) (/.f32 -314159265359/100000000000 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 -314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (.f32 u1 (sqrt.f32 -1))) (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (*.f32 u1 u1))))))
(fma.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (.f32 u1 (sqrt.f32 -1))) (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) u2)) (.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 -1))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (fma.f32 u2 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2) u2) (*.f32 u1 u1)))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (.f32 (/.f32 -314159265359/100000000000 (*.f32 u1 (sqrt.f32 -1))) (+.f32 u2 (/.f32 (fma.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) u2) u1))))
(+.f32 (.f32 -314159265359/100000000000 (/.f32 (.f32 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 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 -314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(fma.f32 -314159265359/100000000000 (/.f32 u2 (/.f32 (.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1))) (fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (.f32 u1 (sqrt.f32 -1))) (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (.f32 u1 u1)))))))
(fma.f32 -314159265359/100000000000 (.f32 (/.f32 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)) (fma.f32 -314159265359/100000000000 (+.f32 (/.f32 u2 (.f32 u1 (sqrt.f32 -1))) (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) u2)) (.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 -1)))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (fma.f32 -314159265359/100000000000 (/.f32 (fma.f32 u2 (fma.f32 -1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2) -1/2) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (fma.f32 u2 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2) u2) (.f32 u1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (.f32 (/.f32 u2 (.f32 u1 u1)) (+.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (-.f32 1 (fma.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) 1/2 1/2)) u1))))))
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 -1)))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (.f32 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2))))
(fma.f32 314159265359/100000000000 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (.f32 u2 (*.f32 314159265359/50000000000 (sqrt.f32 -1))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (.f32 314159265359/100000000000 (*.f32 u2 (/.f32 (sqrt.f32 -1) u1))))
(.f32 (.f32 u2 (sqrt.f32 -1)) (+.f32 314159265359/50000000000 (/.f32 314159265359/100000000000 u1)))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2)))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (fma.f32 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (.f32 942477796077/400000000000 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) u2)))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (fma.f32 314159265359/100000000000 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (.f32 (/.f32 942477796077/400000000000 u1) (.f32 (/.f32 (sqrt.f32 -1) u1) u2))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (.f32 (*.f32 u2 (/.f32 (sqrt.f32 -1) u1)) (+.f32 (/.f32 942477796077/400000000000 u1) 314159265359/100000000000)))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (+.f32 314159265359/100000000000 (/.f32 942477796077/400000000000 u1))))
(+.f32 (.f32 314159265359/160000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))))))
(fma.f32 314159265359/160000000000 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) u2)) (fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (fma.f32 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (.f32 942477796077/400000000000 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) u2))))))
(fma.f32 314159265359/160000000000 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) u2) (fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (fma.f32 314159265359/100000000000 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (.f32 (/.f32 942477796077/400000000000 u1) (*.f32 (/.f32 (sqrt.f32 -1) u1) u2)))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (fma.f32 314159265359/160000000000 (.f32 u2 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (.f32 (.f32 u2 (/.f32 (sqrt.f32 -1) u1)) (+.f32 (/.f32 942477796077/400000000000 u1) 314159265359/100000000000))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (+.f32 314159265359/100000000000 (+.f32 (/.f32 942477796077/400000000000 u1) (/.f32 314159265359/160000000000 (*.f32 u1 u1))))))
(sqrt.f32 (pow.f32 u1 3))
(pow.f32 u1 3/2)
(+.f32 (*.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 (pow.f32 u1 3)))
(fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3)))
(fma.f32 3/2 (pow.f32 u1 5/2) (pow.f32 u1 3/2))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (.f32 15/8 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3))) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7))))
(fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 7)) (sqrt.f32 (pow.f32 u1 3))))
(fma.f32 3/2 (pow.f32 u1 5/2) (fma.f32 15/8 (pow.f32 u1 7/2) (pow.f32 u1 3/2)))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 35/16 (sqrt.f32 (pow.f32 u1 9))) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7))))))
(+.f32 (fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3))) (fma.f32 35/16 (sqrt.f32 (pow.f32 u1 9)) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3))) (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 7)) (*.f32 35/16 (fabs.f32 (pow.f32 u1 9/2)))))
(fma.f32 3/2 (pow.f32 u1 5/2) (fma.f32 15/8 (pow.f32 u1 7/2) (fma.f32 35/16 (pow.f32 u1 9/2) (pow.f32 u1 3/2))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)))))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1))))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 3/2 (/.f32 15/8 u1))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1))))))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)))
(+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 3/2 (/.f32 15/8 u1))) (fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (+.f32 3/2 (/.f32 15/8 u1)) (/.f32 35/16 (.f32 u1 u1)))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)))))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1))))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 3/2 (/.f32 15/8 u1))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1))))))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)))
(+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 3/2 (/.f32 15/8 u1))) (fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (+.f32 3/2 (/.f32 15/8 u1)) (/.f32 35/16 (.f32 u1 u1)))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 -1) u2)
(*.f32 u2 (sqrt.f32 -1))
(+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 -1/2 (/.f32 u2 (.f32 u1 (sqrt.f32 -1))) (.f32 u2 (sqrt.f32 -1)))
(fma.f32 u2 (sqrt.f32 -1) (*.f32 (/.f32 -1/2 u1) (/.f32 u2 (sqrt.f32 -1))))
(fma.f32 (/.f32 -1/2 (sqrt.f32 -1)) (/.f32 u2 u1) (*.f32 u2 (sqrt.f32 -1)))
(.f32 u2 (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) u2)))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 u2 (.f32 u1 (sqrt.f32 -1))) (.f32 u2 (sqrt.f32 -1))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) u2) (fma.f32 u2 (sqrt.f32 -1) (.f32 (/.f32 -1/2 u1) (/.f32 u2 (sqrt.f32 -1)))))
(fma.f32 u2 (sqrt.f32 -1) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (fma.f32 u2 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2) u2) (.f32 u1 u1)))))
(fma.f32 u2 (sqrt.f32 -1) (*.f32 (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1) (+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) u1) -1/2)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 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) u2))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 u2 (.f32 u1 (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 u2 (/.f32 (.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1))) (*.f32 u2 (sqrt.f32 -1)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) u2) (fma.f32 (/.f32 u2 (.f32 u1 (sqrt.f32 -1))) -1/2 (fma.f32 -1/2 (.f32 (/.f32 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 u2 (sqrt.f32 -1)))))
(fma.f32 -1/2 (/.f32 (fma.f32 u2 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2) u2) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 u2 (sqrt.f32 -1) (*.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (fma.f32 u2 (fma.f32 -1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2) -1/2) u2) (pow.f32 u1 3))))))
(+.f32 (.f32 u2 (sqrt.f32 -1)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (*.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 u2 u1)) (/.f32 (fma.f32 u2 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) u2) (pow.f32 u1 3)))))
(*.f32 (sqrt.f32 -1) u2)
(*.f32 u2 (sqrt.f32 -1))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (*.f32 u2 (sqrt.f32 -1)))
(fma.f32 u2 (sqrt.f32 -1) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) u2)))
(fma.f32 1/2 (.f32 u2 (/.f32 (sqrt.f32 -1) u1)) (.f32 u2 (sqrt.f32 -1)))
(.f32 (.f32 u2 (sqrt.f32 -1)) (+.f32 (/.f32 1/2 u1) 1))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) u2)) (.f32 u2 (sqrt.f32 -1))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (fma.f32 u2 (sqrt.f32 -1) (.f32 (/.f32 3/8 u1) (*.f32 (/.f32 (sqrt.f32 -1) u1) u2))))
(fma.f32 u2 (sqrt.f32 -1) (.f32 (.f32 u2 (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(fma.f32 u2 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) u2)) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) u2)) (.f32 u2 (sqrt.f32 -1)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (fma.f32 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) u2) 5/16 (fma.f32 u2 (sqrt.f32 -1) (.f32 (/.f32 3/8 u1) (.f32 (/.f32 (sqrt.f32 -1) u1) u2)))))
(fma.f32 1/2 (.f32 u2 (/.f32 (sqrt.f32 -1) u1)) (fma.f32 u2 (sqrt.f32 -1) (.f32 (.f32 u2 (/.f32 (sqrt.f32 -1) (.f32 u1 u1))) (+.f32 3/8 (/.f32 5/16 u1)))))
(+.f32 (.f32 u2 (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (+.f32 1/2 (+.f32 (/.f32 3/8 u1) (/.f32 5/16 (*.f32 u1 u1))))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))
(-.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 (sqrt.f32 -1)) u1))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (-.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 (sqrt.f32 -1)) u1)) (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2) -1/2) (.f32 (sqrt.f32 -1) (.f32 u1 u1))))
(+.f32 (sqrt.f32 -1) (.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1)))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (.f32 (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 u1 (sqrt.f32 -1))))
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1))) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)) (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)))) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 (/.f32 -1/2 (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (+.f32 (/.f32 (-.f32 1 (fma.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) 1/2 1/2)) u1) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1)))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))
(-.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 (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 (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 u1 (sqrt.f32 -1))))
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (-.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 (sqrt.f32 -1)) u1)) (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2) -1/2) (.f32 (sqrt.f32 -1) (.f32 u1 u1))))
(+.f32 (sqrt.f32 -1) (.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1)))))
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (.f32 -1/2 (/.f32 (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (.f32 (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 u1 (sqrt.f32 -1))))
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1))) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)) (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)))) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 (/.f32 -1/2 (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (+.f32 (/.f32 (-.f32 1 (fma.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) 1/2 1/2)) u1) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1)))))

localize131.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sin.f32 (*.f32 u2 314159265359/50000000000))
✓	0.3b	(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2))
✓	0.4b	(*.f32 u2 314159265359/50000000000)
✓	0.5b	(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)

Compiler

Compiled 54 to 40 computations (25.9% saved)

series8.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

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

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	253	37
2	3072	37

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

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

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

595×	`times-frac_binary32`
530×	`fma-def_binary32`
499×	`fma-neg_binary32`
425×	`unswap-sqr_binary32`
376×	`distribute-rgt-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	997
1	261	965
2	777	908
3	3200	872

Stop Event

1×	node limit

Counts

166 → 152

Calls

Call 1

Inputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 (.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))))
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)))
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3)) (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))))
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3)) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)) (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 4)))))
(.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))))))
(.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))))))
(.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 6) u1) (-.f32 1 u1))) (.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 8) u1) (-.f32 1 u1))) (+.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 6) u1) (-.f32 1 u1))) (.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(*.f32 314159265359/50000000000 u2)
(+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))

Outputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(fma.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2) (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2) (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))
(fma.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))
(fma.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 (.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8) (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2) (.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)))))
(fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8) (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1)
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 u1 (*.f32 u1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (fma.f32 u1 u1 u1))
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3)) (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))))
(fma.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1 (.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 (pow.f32 u1 3) (.f32 u1 u1))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 u1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 3))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3)) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)) (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 4)))))
(fma.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3) (.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 (*.f32 u1 u1) (pow.f32 u1 4)))))
(fma.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 (pow.f32 u1 4)))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1)))
(.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)))
(.f32 -1 (+.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1)))
(-.f32 (neg.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2))
(-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 -1 (/.f32 -1 u1)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1))))
(fma.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1)) (.f32 -1 (+.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1))))
(-.f32 (-.f32 (neg.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1)))
(-.f32 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (/.f32 -1 u1))) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(fma.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (/.f32 -1 u1)) (neg.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))))))
(fma.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1)) (fma.f32 -1 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 -1 (+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3))))))
(-.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3))) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (*.f32 u1 u1)))
(-.f32 (-.f32 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (/.f32 -1 u1))) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3)))
(-.f32 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (+.f32 (/.f32 (/.f32 -1 u1) u1) (/.f32 -1 u1)))) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)))
(.f32 -1 (+.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1)))
(-.f32 (neg.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2))
(-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 -1 (/.f32 -1 u1)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1))))
(fma.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1)) (.f32 -1 (+.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1))))
(-.f32 (-.f32 (neg.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1)))
(-.f32 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (/.f32 -1 u1))) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(fma.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (/.f32 -1 u1)) (neg.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))))))
(fma.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1)) (fma.f32 -1 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 -1 (+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3))))))
(-.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3))) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (*.f32 u1 u1)))
(-.f32 (-.f32 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (/.f32 -1 u1))) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3)))
(-.f32 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (+.f32 (/.f32 (/.f32 -1 u1) u1) (/.f32 -1 u1)))) (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 u2 u2) (/.f32 (-.f32 1 u1) u1)))
(/.f32 98696044010906577398881/2500000000000000000000 (/.f32 (-.f32 1 u1) (.f32 u2 (.f32 u2 u1))))
(/.f32 (.f32 98696044010906577398881/2500000000000000000000 u1) (/.f32 (-.f32 1 u1) (.f32 u2 u2)))
(.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (/.f32 (-.f32 1 u1) u1)) (.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))))
(fma.f32 98696044010906577398881/2500000000000000000000 (.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) u1) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (/.f32 (-.f32 1 u1) u1))))
(fma.f32 98696044010906577398881/2500000000000000000000 (.f32 u1 (/.f32 u2 (/.f32 (-.f32 1 u1) u2))) (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 u2 4))))
(.f32 u1 (+.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)) (-.f32 1 u1)) (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (-.f32 1 u1)))))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 6) u1) (-.f32 1 u1))) (.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (/.f32 (-.f32 1 u1) u1)) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 6) (/.f32 (-.f32 1 u1) u1)) (.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 u2 u2) (/.f32 (-.f32 1 u1) u1)))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (/.f32 (-.f32 1 u1) u1)) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (.f32 (/.f32 (pow.f32 u2 6) (-.f32 1 u1)) u1) (/.f32 98696044010906577398881/2500000000000000000000 (/.f32 (-.f32 1 u1) (.f32 u2 (*.f32 u2 u1))))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 u2 4)) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 u2 6)) (/.f32 (.f32 98696044010906577398881/2500000000000000000000 u1) (/.f32 (-.f32 1 u1) (.f32 u2 u2)))))
(fma.f32 98696044010906577398881/2500000000000000000000 (.f32 u1 (/.f32 u2 (/.f32 (-.f32 1 u1) u2))) (.f32 u1 (+.f32 (/.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (-.f32 1 u1)) (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (-.f32 1 u1))))))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 8) u1) (-.f32 1 u1))) (+.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 6) u1) (-.f32 1 u1))) (.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (/.f32 (-.f32 1 u1) u1)) (fma.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 8) (/.f32 (-.f32 1 u1) u1)) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 6) (/.f32 (-.f32 1 u1) u1)) (.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 u2 u2) (/.f32 (-.f32 1 u1) u1))))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (/.f32 (-.f32 1 u1) u1)) (fma.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (/.f32 (pow.f32 u2 8) (-.f32 1 u1)) u1) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (.f32 (/.f32 (pow.f32 u2 6) (-.f32 1 u1)) u1) (/.f32 98696044010906577398881/2500000000000000000000 (/.f32 (-.f32 1 u1) (.f32 u2 (.f32 u2 u1)))))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 u2 4)) (fma.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 u1 (/.f32 (pow.f32 u2 8) (-.f32 1 u1))) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 u2 6)) (/.f32 (.f32 98696044010906577398881/2500000000000000000000 u1) (/.f32 (-.f32 1 u1) (*.f32 u2 u2))))))
(fma.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f32 u1 (/.f32 (-.f32 1 u1) (pow.f32 u2 8))) (fma.f32 98696044010906577398881/2500000000000000000000 (.f32 u1 (/.f32 u2 (/.f32 (-.f32 1 u1) u2))) (.f32 u1 (+.f32 (/.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (-.f32 1 u1)) (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (-.f32 1 u1)))))))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (-.f32 1 u1) u1))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2))
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 u2 314159265359/50000000000 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(fma.f32 u2 314159265359/50000000000 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 u2 314159265359/50000000000 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(fma.f32 u2 314159265359/50000000000 (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 u2 314159265359/50000000000))

eval504.0ms (3.5%)

Compiler: Compiled 13954 to 10719 computations (23.2% saved)

prune315.0ms (2.2%)

Pruning

55 alts after pruning (46 fresh and 9 done)

	Pruned	Kept	Total
New	759	18	777
Fresh	10	28	38
Picked	0	1	1
Done	2	8	10
Total	771	55	826

Error

0.0b

Counts

826 → 55

Alt Table

Click to see full alt table

Status	Error	Program
	11.5b	(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
	4.5b	(.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
✓	0.5b	(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
	6.2b	(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
	6.1b	(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	6.1b	(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
	19.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 314159265359/50000000000)))))))
	1.5b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	6.2b	(.f32 314159265359/50000000000 (.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) u2)) (sqrt.f32 u2)))
	1.9b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (exp.f32 (log.f32 (.f32 314159265359/50000000000 u2)))))
	30.5b	(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
	25.8b	(.f32 314159265359/50000000000 (.f32 u2 u1))
	6.0b	(sqrt.f32 (.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
	30.5b	(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
	25.8b	(.f32 (.f32 314159265359/50000000000 u2) u1)
	11.5b	(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
	24.5b	(.f32 314159265359/50000000000 (-.f32 (+.f32 1 (.f32 u2 (sqrt.f32 u1))) 1))
	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	25.7b	(.f32 (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) u1)
	12.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))))
✓	3.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
	11.5b	(.f32 (sqrt.f32 u1) (.f32 314159265359/50000000000 u2))
✓	1.2b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)))
	4.5b	(sqrt.f32 (.f32 u1 (+.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)) (-.f32 1 u1)) (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (-.f32 1 u1))))))
	1.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (.f32 314159265359/50000000000 u2)))))
✓	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	1.3b	(sqrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 (/.f32 1 u1) 1)))
	8.2b	(.f32 (sqrt.f32 u1) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	8.2b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
	8.8b	(.f32 (.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
✓	25.7b	(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)
	6.0b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	10.1b	(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
✓	11.5b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
	6.0b	(sqrt.f32 (.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
	15.4b	(.f32 (sqrt.f32 u1) (log.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	13.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	11.5b	(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
	8.8b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
	23.4b	(-.f32 (+.f32 1 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))) 1)
	6.2b	(/.f32 (.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
	6.0b	(sqrt.f32 (.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (.f32 u2 u2))) 98696044010906577398881/2500000000000000000000))
	25.7b	(.f32 u2 (.f32 u1 (fma.f32 u2 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 u1) u1)) (+.f32 u1 1))))
	25.2b	(.f32 (+.f32 u1 1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
	6.2b	(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)))
	0.6b	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
	1.1b	(.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) (sin.f32 (*.f32 314159265359/50000000000 u2)))

Compiler

Compiled 811 to 636 computations (21.6% saved)

regimes1.1s (7.9%)

Counts

96 → 1

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 u2 u1))
(.f32 (.f32 314159265359/50000000000 u2) u1)
(.f32 (sqrt.f32 u1) (.f32 314159265359/50000000000 u2))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(.f32 (+.f32 u1 1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 u1 (fma.f32 u2 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (-.f32 (+.f32 1 (.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))) 1)
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) u1)
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)))
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(sqrt.f32 (.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
(.f32 314159265359/50000000000 (.f32 u2 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(sqrt.f32 (.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (.f32 u2 u2))) 98696044010906577398881/2500000000000000000000))
(.f32 314159265359/50000000000 (.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (.f32 314159265359/50000000000 u2))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
(/.f32 (.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (.f32 (pow.f32 (.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (.f32 u2 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) u2)) (sqrt.f32 u2)))
(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2)))
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 314159265359/50000000000)))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 u1) u1)) (+.f32 u1 1))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 314159265359/50000000000 (.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(sqrt.f32 (.f32 u1 (+.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)) (-.f32 1 u1)) (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (-.f32 1 u1))))))
(sqrt.f32 (.f32 u1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
(.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))) 2)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
(.f32 (sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(.f32 314159265359/50000000000 (pow.f32 (pow.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(.f32 (sqrt.f32 u1) (log.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (pow.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/4) 2) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) 3)))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 4)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (exp.f32 (log.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
(.f32 (sqrt.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))))) 2)) (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))))))

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

Calls

13 calls:

133.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
125.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
113.0ms	(/.f32 u1 (-.f32 1 u1))
107.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
103.0ms	(/.f32 u1 (-.f32 1 u1))

Results

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

Compiler

Compiled 1356 to 979 computations (27.8% saved)

regimes643.0ms (4.5%)

Counts

73 → 1

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 u2 u1))
(.f32 (.f32 314159265359/50000000000 u2) u1)
(.f32 (sqrt.f32 u1) (.f32 314159265359/50000000000 u2))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(.f32 (+.f32 u1 1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 u1 (fma.f32 u2 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (-.f32 (+.f32 1 (.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))) 1)
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) u1)
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)))
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(sqrt.f32 (.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
(.f32 314159265359/50000000000 (.f32 u2 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(sqrt.f32 (.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (.f32 u2 u2))) 98696044010906577398881/2500000000000000000000))
(.f32 314159265359/50000000000 (.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (.f32 314159265359/50000000000 u2))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
(/.f32 (.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (.f32 (pow.f32 (.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (.f32 u2 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) u2)) (sqrt.f32 u2)))
(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2)))
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 314159265359/50000000000)))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 u1) u1)) (+.f32 u1 1))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 314159265359/50000000000 (.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(sqrt.f32 (.f32 u1 (+.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)) (-.f32 1 u1)) (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (-.f32 1 u1))))))
(sqrt.f32 (.f32 u1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
(.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))) 2)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
(.f32 (sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(.f32 314159265359/50000000000 (pow.f32 (pow.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))

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

Calls

10 calls:

90.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
69.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
67.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
66.0ms	(/.f32 u1 (-.f32 1 u1))
66.0ms	(*.f32 314159265359/50000000000 u2)

Results

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

Compiler

Compiled 923 to 644 computations (30.2% saved)

regimes487.0ms (3.4%)

Counts

69 → 1

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 u2 u1))
(.f32 (.f32 314159265359/50000000000 u2) u1)
(.f32 (sqrt.f32 u1) (.f32 314159265359/50000000000 u2))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(.f32 (+.f32 u1 1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 u1 (fma.f32 u2 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (-.f32 (+.f32 1 (.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))) 1)
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) u1)
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)))
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(sqrt.f32 (.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
(.f32 314159265359/50000000000 (.f32 u2 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(sqrt.f32 (.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (.f32 u2 u2))) 98696044010906577398881/2500000000000000000000))
(.f32 314159265359/50000000000 (.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (.f32 314159265359/50000000000 u2))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
(/.f32 (.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (.f32 (pow.f32 (.f32 314159265359/50000000000 u2) 2) (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (.f32 u2 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) u2)) (sqrt.f32 u2)))
(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2)))
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 314159265359/50000000000)))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (*.f32 (/.f32 1 (-.f32 (/.f32 1 u1) u1)) (+.f32 u1 1))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 314159265359/50000000000 (.f32 u2 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(sqrt.f32 (.f32 u1 (+.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)) (-.f32 1 u1)) (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (-.f32 1 u1))))))
(sqrt.f32 (.f32 u1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
(.f32 (hypot.f32 u1 (sqrt.f32 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))) 2)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
(.f32 (sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1)) (sin.f32 (.f32 314159265359/50000000000 u2)))

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

Calls

8 calls:

124.0ms	cosTheta_i
61.0ms	(/.f32 u1 (-.f32 1 u1))
57.0ms	u2
43.0ms	(*.f32 314159265359/50000000000 u2)
39.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

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

Compiler

Compiled 849 to 589 computations (30.6% saved)

regimes746.0ms (5.2%)

Counts

39 → 2

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 u2 u1))
(.f32 (.f32 314159265359/50000000000 u2) u1)
(.f32 (sqrt.f32 u1) (.f32 314159265359/50000000000 u2))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(.f32 (+.f32 u1 1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 u1 (fma.f32 u2 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (-.f32 (+.f32 1 (.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))) 1)
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) u1)
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)))
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(sqrt.f32 (.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
(.f32 314159265359/50000000000 (.f32 u2 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(sqrt.f32 (.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (.f32 u2 u2))) 98696044010906577398881/2500000000000000000000))
(.f32 314159265359/50000000000 (.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (.f32 314159265359/50000000000 u2))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (.f32 314159265359/50000000000 u2) (hypot.f32 u1 (sqrt.f32 u1)))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 u2 u2) 314159265359/50000000000)))
(/.f32 (.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))

Outputs
(sqrt.f32 (.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))

Calls

11 calls:

169.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
97.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
90.0ms	u1
65.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
52.0ms	(*.f32 314159265359/50000000000 u2)

Results

Error	Segments	Branch
6.0b	1	`cosTheta_i`
3.9b	2	`u1`
3.1b	2	`u2`
3.9b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
3.9b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
3.9b	2	`(/.f32 u1 (-.f32 1 u1))`
3.9b	2	`(/.f32 u1 (-.f32 1 u1))`
3.7b	2	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
3.7b	2	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
3.1b	2	`(*.f32 314159265359/50000000000 u2)`
3.1b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 463 to 310 computations (33% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.009774700738489628	0.010372983291745186

Compiler

Compiled 20 to 16 computations (20% saved)

regimes236.0ms (1.6%)

Counts

33 → 1

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 u2 u1))
(.f32 (.f32 314159265359/50000000000 u2) u1)
(.f32 (sqrt.f32 u1) (.f32 314159265359/50000000000 u2))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(.f32 (+.f32 u1 1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 u1 (fma.f32 u2 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (-.f32 (+.f32 1 (.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))) 1)
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) u1)
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)))
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(sqrt.f32 (.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
(.f32 314159265359/50000000000 (.f32 u2 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(sqrt.f32 (.f32 (/.f32 u1 (/.f32 (-.f32 1 u1) (.f32 u2 u2))) 98696044010906577398881/2500000000000000000000))
(.f32 314159265359/50000000000 (.f32 u2 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (.f32 314159265359/50000000000 u2))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))))

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

Calls

11 calls:

26.0ms	u2
23.0ms	(/.f32 u1 (-.f32 1 u1))
21.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
21.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
21.0ms	u1

Results

Error	Segments	Branch
6.0b	1	`cosTheta_i`
6.0b	1	`u1`
6.0b	1	`u2`
6.0b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
6.0b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
6.0b	1	`(/.f32 u1 (-.f32 1 u1))`
6.0b	1	`(/.f32 u1 (-.f32 1 u1))`
6.0b	1	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
6.0b	1	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
6.0b	1	`(*.f32 314159265359/50000000000 u2)`
6.0b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 410 to 281 computations (31.5% saved)

regimes164.0ms (1.1%)

Counts

24 → 1

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 u2 u1))
(.f32 (.f32 314159265359/50000000000 u2) u1)
(.f32 (sqrt.f32 u1) (.f32 314159265359/50000000000 u2))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(.f32 (+.f32 u1 1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 u1 (fma.f32 u2 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (-.f32 (+.f32 1 (.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))) 1)
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) u1)
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)))
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(sqrt.f32 (.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))

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

Calls

10 calls:

24.0ms	(*.f32 314159265359/50000000000 u2)
16.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
16.0ms	(*.f32 314159265359/50000000000 u2)
15.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
15.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

Error	Segments	Branch
6.0b	1	`cosTheta_i`
6.0b	1	`u1`
6.0b	1	`u2`
6.0b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
6.0b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
6.0b	1	`(/.f32 u1 (-.f32 1 u1))`
6.0b	1	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
6.0b	1	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
6.0b	1	`(*.f32 314159265359/50000000000 u2)`
6.0b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 284 to 195 computations (31.3% saved)

regimes230.0ms (1.6%)

Counts

23 → 1

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 u2 u1))
(.f32 (.f32 314159265359/50000000000 u2) u1)
(.f32 (sqrt.f32 u1) (.f32 314159265359/50000000000 u2))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(.f32 (+.f32 u1 1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 u1 (fma.f32 u2 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (-.f32 (+.f32 1 (.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))) 1)
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) u1)
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)))
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))
(sqrt.f32 (.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))

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

Calls

10 calls:

25.0ms	(/.f32 u1 (-.f32 1 u1))
24.0ms	(*.f32 314159265359/50000000000 u2)
24.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
23.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
23.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))

Results

Error	Segments	Branch
6.0b	1	`cosTheta_i`
6.0b	1	`u1`
6.0b	1	`u2`
6.0b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
6.0b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
6.0b	1	`(/.f32 u1 (-.f32 1 u1))`
6.0b	1	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
6.0b	1	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
6.0b	1	`(*.f32 314159265359/50000000000 u2)`
6.0b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 272 to 188 computations (30.9% saved)

regimes203.0ms (1.4%)

Counts

22 → 1

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 u2 u1))
(.f32 (.f32 314159265359/50000000000 u2) u1)
(.f32 (sqrt.f32 u1) (.f32 314159265359/50000000000 u2))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(.f32 (+.f32 u1 1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 u1 (fma.f32 u2 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (-.f32 (+.f32 1 (.f32 u2 (sqrt.f32 u1))) 1))
(-.f32 (+.f32 1 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))) 1)
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) u1)
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1/2)))
(.f32 314159265359/50000000000 (.f32 u2 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))

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

Calls

8 calls:

33.0ms	cosTheta_i
25.0ms	(*.f32 314159265359/50000000000 u2)
25.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
24.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
24.0ms	(/.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	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
6.1b	1	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
6.1b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 245 to 169 computations (31% saved)

regimes177.0ms (1.2%)

Counts

12 → 1

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 u2 u1))
(.f32 (.f32 314159265359/50000000000 u2) u1)
(.f32 (sqrt.f32 u1) (.f32 314159265359/50000000000 u2))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1)
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(.f32 (+.f32 u1 1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 u1 (fma.f32 u2 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) 314159265359/50000000000)))

Outputs
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))

Calls

11 calls:

19.0ms	(*.f32 314159265359/50000000000 u2)
17.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
16.0ms	(*.f32 314159265359/50000000000 u2)
15.0ms	(/.f32 u1 (-.f32 1 u1))
15.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

Error	Segments	Branch
11.5b	1	`cosTheta_i`
11.5b	1	`u1`
11.5b	1	`u2`
11.5b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
11.5b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
11.5b	1	`(/.f32 u1 (-.f32 1 u1))`
11.5b	1	`(/.f32 u1 (-.f32 1 u1))`
11.5b	1	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
11.5b	1	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
11.5b	1	`(*.f32 314159265359/50000000000 u2)`
11.5b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 165 to 115 computations (30.3% saved)

regimes61.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))

Calls

6 calls:

11.0ms	u2
10.0ms	(*.f32 314159265359/50000000000 u2)
10.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
10.0ms	(*.f32 314159265359/50000000000 u2)
9.0ms	u1

Results

Error	Segments	Branch
11.5b	1	`cosTheta_i`
11.5b	1	`u1`
11.5b	1	`u2`
11.5b	1	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
11.5b	1	`(*.f32 314159265359/50000000000 u2)`
11.5b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 62 to 45 computations (27.4% saved)

regimes46.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(.f32 (sqrt.f32 u1) (.f32 314159265359/50000000000 u2))

Calls

5 calls:

9.0ms	u2
8.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
8.0ms	(*.f32 314159265359/50000000000 u2)
8.0ms	u1
8.0ms	cosTheta_i

Results

Error	Segments	Branch
11.5b	1	`cosTheta_i`
11.5b	1	`u1`
11.5b	1	`u2`
11.5b	1	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
11.5b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 50 to 37 computations (26% saved)

regimes31.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(.f32 314159265359/50000000000 (.f32 u2 u1))

Calls

4 calls:

8.0ms	cosTheta_i
8.0ms	(*.f32 314159265359/50000000000 u2)
7.0ms	u2
7.0ms	u1

Results

Error	Segments	Branch
25.8b	1	`cosTheta_i`
25.8b	1	`u1`
25.8b	1	`u2`
25.8b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 31 to 23 computations (25.8% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary32`
5×	`+-commutative_binary32`
4×	`sub-neg_binary32`
2×	`neg-sub0_binary32`
2×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	214
1	83	214
2	91	214
3	95	214
4	97	214

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 5368709/536870912) (sqrt.f32 (.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (.f32 u2 u2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))))
(sqrt.f32 (.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 (sqrt.f32 u1) (.f32 314159265359/50000000000 u2))
(.f32 314159265359/50000000000 (.f32 u2 u1))

Outputs
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 5368709/536870912) (sqrt.f32 (.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (.f32 u2 u2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))))
(if (<=.f32 (.f32 u2 314159265359/50000000000) 5368709/536870912) (sqrt.f32 (.f32 (.f32 u2 u2) (/.f32 (.f32 u1 98696044010906577398881/2500000000000000000000) (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)))
(sqrt.f32 (.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 u1) (-.f32 1 u1)) (*.f32 u2 u2)))
(sqrt.f32 (.f32 (.f32 u2 u2) (/.f32 (*.f32 u1 98696044010906577398881/2500000000000000000000) (-.f32 1 u1))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 (*.f32 u2 u2) (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 314159265359/50000000000))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u1 u2))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 (sqrt.f32 u1) (.f32 314159265359/50000000000 u2))
(.f32 (.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(.f32 314159265359/50000000000 (.f32 u2 u1))
(.f32 314159265359/50000000000 (.f32 u1 u2))

Compiler

Compiled 177 to 133 computations (24.9% saved)

soundness0.0ms (0%)

end216.0ms (1.5%)

Compiler: Compiled 144 to 93 computations (35.4% 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	234	68
9	243	68
10	246	68
0	3	3

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

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