Details

analyze424.0ms (9.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample2.0s (44.9%)

Results

2.0s	8256×	body	128	valid
2.0ms	10×	body	128	invalid

preprocess23.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	68
1	40	68
2	50	68
3	66	68
4	86	68
5	112	68
6	143	68
7	190	68
8	231	68
9	240	68
10	243	68
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (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 14 to 11 computations (21.4% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.5b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 42 to 33 computations (21.4% saved)

localize30.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series11.0ms (0.2%)

Counts

4 → 40

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	@	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)))
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)))

rewrite56.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary32`
271×	`prod-diff_binary32`
196×	`expm1-udef_binary32`
195×	`log1p-udef_binary32`
164×	`log-pow_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	228	37
2	2839	37

Stop Event

1×	node limit

Counts

4 → 113

Calls

Call 1

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

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

simplify35.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-def_binary32`
507×	`times-frac_binary32`
384×	`associate-/r*_binary32`
268×	`associate-/l*_binary32`
194×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1140
1	394	1068
2	1301	969

Stop Event

1×	node limit

Counts

153 → 154

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

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

prune242.0ms (5.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	142	12	154
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	143	12	155

Error

0.0b

Counts

155 → 12

Alt Table

Status	Error	Program
	1.7b	(+.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))))))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) 3)))
	0.5b	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) (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)
	13.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 314159265359/50000000000 u2))) 1)))
	0.6b	(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (sin.f32 (.f32 314159265359/50000000000 u2)))
▶	0.4b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
	0.6b	(.f32 (sqrt.f32 (.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)))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	13.5b	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
	1.1b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 2)
	0.5b	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))

Compiler

Compiled 3439 to 2720 computations (20.9% saved)

localize50.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	0.4b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
✓	0.4b	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))
✓	0.7b	(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3)

series13.0ms (0.3%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	0	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))
2.0ms	u2	@	inf	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))
1.0ms	u1	@	-inf	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))
1.0ms	u2	@	0	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))
1.0ms	u2	@	0	(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3)

rewrite67.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

271×	`prod-diff_binary32`
240×	`expm1-udef_binary32`
239×	`log1p-udef_binary32`
142×	`add-sqr-sqrt_binary32`
135×	`pow1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	300	40
2	3475	40

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

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

Outputs

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

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

simplify43.0ms (1%)

Algorithm

1×	egg-herbie

Rules

926×	`times-frac_binary32`
678×	`fma-def_binary32`
429×	`associate-/l*_binary32`
373×	`associate-/r*_binary32`
103×	`associate-/r/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1243
1	376	1157
2	1398	1040

Stop Event

1×	node limit

Counts

90 → 98

Calls

Call 1

Inputs
(*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3))
(+.f32 (.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (+.f32 (.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (.f32 -1222173072672018605869876866523723537468811217154985888808286930155378349843421319946643271006387243132199/5906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 9)) (+.f32 (.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (+.f32 (.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))))
(.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))
(+.f32 (.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)) (.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (+.f32 10 (.f32 3/2 (/.f32 (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))))))
(.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))
(+.f32 (.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)) (.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)) (+.f32 (.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)) (+.f32 (.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (-.f32 10 (.f32 -3/2 (/.f32 (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))
(+.f32 (.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))))
(+.f32 (.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (+.f32 (.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))))
(+.f32 (.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (+.f32 (.f32 -1222173072672018605869876866523723537468811217154985888808286930155378349843421319946643271006387243132199/5906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 9) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (+.f32 (.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(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))))))

Outputs
(*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3))
(+.f32 (.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3) (*.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))
(+.f32 (.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (+.f32 (.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3))))
(fma.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (fma.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3))))
(fma.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (fma.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))))
(fma.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))))
(+.f32 (.f32 -1222173072672018605869876866523723537468811217154985888808286930155378349843421319946643271006387243132199/5906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 9)) (+.f32 (.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (+.f32 (.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))))
(fma.f32 -1222173072672018605869876866523723537468811217154985888808286930155378349843421319946643271006387243132199/5906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 9) (fma.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (fma.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))))
(fma.f32 -1222173072672018605869876866523723537468811217154985888808286930155378349843421319946643271006387243132199/5906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 9) (fma.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (fma.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(fma.f32 -1222173072672018605869876866523723537468811217154985888808286930155378349843421319946643271006387243132199/5906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 9) (fma.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))
(.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3))
(+.f32 (.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)) (.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (/.f32 (.f32 -3/2 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3)) (.f32 (sqrt.f32 -1) u1)))
(fma.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 -1)) (/.f32 (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (/.f32 (.f32 -3/2 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (fma.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 -1)) (.f32 (/.f32 (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1)) -1/2))))
(fma.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (fma.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 (sqrt.f32 -1) u1)) (.f32 -1/2 (.f32 (/.f32 (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3)))))
(+.f32 (.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (+.f32 10 (.f32 3/2 (/.f32 (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))))))
(fma.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 -1)) (/.f32 (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 -1)) (/.f32 (+.f32 10 (.f32 3/2 (/.f32 (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))) (pow.f32 u1 3))) (/.f32 (.f32 -3/2 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3)) (.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 -1)) (/.f32 (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 (sqrt.f32 -1) u1)) (.f32 -1/2 (.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 3) (pow.f32 u1 3)) (/.f32 (fma.f32 3/2 (/.f32 (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)) -1) 10) (sqrt.f32 -1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)) (/.f32 (+.f32 10 (.f32 -3/2 (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)))) (pow.f32 u1 3)))) (fma.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 (sqrt.f32 -1) u1)))))
(.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))
(.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3))
(+.f32 (.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)) (.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (/.f32 (.f32 -3/2 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3)) (.f32 (sqrt.f32 -1) u1)))
(fma.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)) (+.f32 (.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(fma.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (fma.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 (sqrt.f32 -1) u1)) (.f32 -1/2 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 -1)) (/.f32 (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (fma.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 -1)) (.f32 (/.f32 (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1)) -1/2))))
(fma.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (fma.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 (sqrt.f32 -1) u1)) (.f32 -1/2 (.f32 (/.f32 (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3)))))
(+.f32 (.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)) (+.f32 (.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (-.f32 10 (.f32 -3/2 (/.f32 (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(fma.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (fma.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 (sqrt.f32 -1) u1)) (.f32 -1/2 (+.f32 (/.f32 (+.f32 10 (.f32 3/2 (/.f32 (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))) (/.f32 (.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3))) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 -1)) (/.f32 (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)))))))
(fma.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (fma.f32 -1/2 (fma.f32 (/.f32 (+.f32 10 (/.f32 (.f32 3/2 (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2))) -1)) (sqrt.f32 -1)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (pow.f32 u1 3)) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 -1)) (/.f32 (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)))) (.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)) (/.f32 (-.f32 10 (+.f32 9 (.f32 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2) 3/2))) (pow.f32 u1 3)))) (.f32 -3/2 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 (sqrt.f32 -1) u1)))))
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(fma.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))) (.f32 (*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))
(.f32 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (fma.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3) (.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
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(fma.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))) (fma.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))) (.f32 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))))
(fma.f32 (.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (.f32 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (fma.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (fma.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(+.f32 (.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (+.f32 (.f32 -1222173072672018605869876866523723537468811217154985888808286930155378349843421319946643271006387243132199/5906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 9) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (+.f32 (.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))))))
(fma.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))) (fma.f32 -1222173072672018605869876866523723537468811217154985888808286930155378349843421319946643271006387243132199/5906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 9) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))) (fma.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))) (.f32 (*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (fma.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3) (.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))) (.f32 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (fma.f32 -1222173072672018605869876866523723537468811217154985888808286930155378349843421319946643271006387243132199/5906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 9) (.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (fma.f32 -1222173072672018605869876866523723537468811217154985888808286930155378349843421319946643271006387243132199/5906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 9) (fma.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(sqrt.f32 (pow.f32 u1 3))
(fabs.f32 (pow.f32 u1 3/2))
(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 (fabs.f32 (pow.f32 u1 5/2)) (fabs.f32 (pow.f32 u1 3/2)))
(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 (fabs.f32 (pow.f32 u1 5/2)) (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 7)) (fabs.f32 (pow.f32 u1 3/2))))
(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 15/8 (sqrt.f32 (pow.f32 u1 7)) (*.f32 35/16 (sqrt.f32 (pow.f32 u1 9)))) (fma.f32 3/2 (fabs.f32 (pow.f32 u1 5/2)) (fabs.f32 (pow.f32 u1 3/2))))
(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 (/.f32 15/8 u1) (/.f32 (sqrt.f32 -1) 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))))))
(fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) (*.f32 (/.f32 15/8 u1) (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 15/8 (/.f32 35/16 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 (/.f32 15/8 u1) (/.f32 (sqrt.f32 -1) 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))))))
(fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) (*.f32 (/.f32 15/8 u1) (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 15/8 (/.f32 35/16 u1))))

prune159.0ms (3.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	5	6	11
Picked	0	1	1
Done	0	0	0
Total	116	10	126

Error

0.0b

Counts

126 → 10

Alt Table

Status	Error	Program
▶	0.5b	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) (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)
	0.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))
	0.9b	(cbrt.f32 (pow.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3/2)) 2))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) 3)))
	3.6b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (+.f32 (.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))))
	13.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 314159265359/50000000000 u2))) 1)))
	23.0b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))) 1)))
✓	0.4b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
	0.5b	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 3054 to 2556 computations (16.3% saved)

localize38.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

series12.0ms (0.3%)

Counts

3 → 24

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	-inf	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
2.0ms	u1	@	-inf	(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
1.0ms	u1	@	inf	(sqrt.f32 (/.f32 1 (-.f32 1 u1)))
1.0ms	u1	@	-inf	(sqrt.f32 (/.f32 1 (-.f32 1 u1)))
0.0ms	u1	@	0	(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))

rewrite49.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

267×	`prod-diff_binary32`
225×	`expm1-udef_binary32`
224×	`log1p-udef_binary32`
198×	`log-pow_binary32`
148×	`fma-def_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	272	33
2	3283	33

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs

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

simplify35.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

544×	`associate-/l/_binary32`
421×	`fma-def_binary32`
269×	`times-frac_binary32`
226×	`associate-/r/_binary32`
201×	`associate-/r*_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	690
1	258	644
2	776	590
3	3049	474

Stop Event

1×	node limit

Counts

85 → 91

Calls

Call 1

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

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

prune120.0ms (2.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	105	12	117

Error

0.0b

Counts

117 → 12

Alt Table

Status	Error	Program
	0.7b	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) 3)))
	0.7b	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (sqrt.f32 (pow.f32 (-.f32 1 u1) -1/2)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	13.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 314159265359/50000000000 u2))) 1)))
	0.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))
	0.9b	(cbrt.f32 (pow.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3/2)) 2))
	3.6b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (+.f32 (.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))))
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
	23.0b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))) 1)))
	0.6b	(.f32 (.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) -2))) (sqrt.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
▶	0.5b	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 2377 to 1878 computations (21% saved)

localize73.0ms (1.6%)

Local error

Found 4 expressions with local error:

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

series7.0ms (0.2%)

Counts

3 → 40

Calls

12 calls:

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

rewrite53.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

327×	`prod-diff_binary32`
215×	`expm1-udef_binary32`
214×	`log1p-udef_binary32`
185×	`log-pow_binary32`
127×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	257	33
2	3317	33

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

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

Outputs

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

simplify35.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

575×	`times-frac_binary32`
507×	`associate-/r*_binary32`
460×	`fma-def_binary32`
266×	`associate-/l*_binary32`
216×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1052
1	360	989
2	1198	922

Stop Event

1×	node limit

Counts

135 → 135

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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) u1))))
(+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (sqrt.f32 -1) 5))) (.f32 -1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (sqrt.f32 -1) 5)))) (pow.f32 u1 2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (pow.f32 (sqrt.f32 -1) 3) u1)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (sqrt.f32 -1) 5))) (.f32 -1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (sqrt.f32 -1) 5)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 3)))) (+.f32 (.f32 -1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 7) (pow.f32 u1 3)))) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (sqrt.f32 -1) 5))) (.f32 -1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (sqrt.f32 -1) 5)))) (pow.f32 u1 2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) 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))))
(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))))
(/.f32 1 (sqrt.f32 -1))
(-.f32 (/.f32 1 (sqrt.f32 -1)) (.f32 1/2 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) u1))))
(-.f32 (+.f32 (.f32 3/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 2)))) (/.f32 1 (sqrt.f32 -1))) (.f32 1/2 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) u1))))
(-.f32 (+.f32 (.f32 3/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 2)))) (/.f32 1 (sqrt.f32 -1))) (+.f32 (.f32 5/16 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 7) (pow.f32 u1 3)))) (.f32 1/2 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) u1)))))
(/.f32 1 u1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
-1
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
-1
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)

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

prune171.0ms (3.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	2	8	10
Picked	0	1	1
Done	1	0	1
Total	152	11	163

Error

0.0b

Counts

163 → 11

Alt Table

Status	Error	Program
	0.7b	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) 3)))
	0.7b	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (sqrt.f32 (pow.f32 (-.f32 1 u1) -1/2)) 2)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	13.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 314159265359/50000000000 u2))) 1)))
	0.5b	(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2)))
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
	3.6b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (+.f32 (.f32 -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))))
	23.0b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))) 1)))
	0.6b	(.f32 (.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) -2))) (sqrt.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
✓	0.5b	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 3275 to 2722 computations (16.9% saved)

regimes681.0ms (15.3%)

Accuracy

Total -27.2b remaining (-6348.9%)

Threshold costs -27.2b (-6348.9%)

Counts

91 → 1

Compiler

Compiled 1512 to 1157 computations (23.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary32`
2×	`+-commutative_binary32`
2×	`sub-neg_binary32`
1×	`neg-sub0_binary32`
1×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	22	28
2	26	28
3	28	28
4	29	28

Stop Event

1×

saturated

Calls

Call 1

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

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

end20.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 42 to 36 computations (14.3% saved)

Iter	Nodes	Cost
0	25	68
1	40	68
2	50	68
3	66	68
4	86	68
5	112	68
6	143	68
7	190	68
8	231	68
9	240	68
10	243	68
0	3	3

Iter	Nodes	Cost
0	25	68
1	40	68
2	50	68
3	66	68
4	86	68
5	112	68
6	143	68
7	190	68
8	231	68
9	240	68
10	243	68
0	3	3

Details

analyze424.0ms (9.5%)

sample2.0s (44.9%)

preprocess23.0ms (0.5%)

simplify8.0ms (0.2%)

prune2.0ms (0%)

localize30.0ms (0.7%)

series11.0ms (0.2%)

rewrite56.0ms (1.3%)

simplify35.0ms (0.8%)

prune242.0ms (5.4%)

localize50.0ms (1.1%)

series13.0ms (0.3%)

rewrite67.0ms (1.5%)

simplify43.0ms (1%)

prune159.0ms (3.6%)

localize38.0ms (0.9%)

series12.0ms (0.3%)

rewrite49.0ms (1.1%)

simplify35.0ms (0.8%)

prune120.0ms (2.7%)

localize73.0ms (1.6%)

series7.0ms (0.2%)

rewrite53.0ms (1.2%)

simplify35.0ms (0.8%)

prune171.0ms (3.8%)

regimes681.0ms (15.3%)

simplify2.0ms (0.1%)

end20.0ms (0.5%)

Profiling

Iter	Nodes	Cost
0	25	68
1	40	68
2	50	68
3	66	68
4	86	68
5	112	68
6	143	68
7	190	68
8	231	68
9	240	68
10	243	68
0	3	3