Details

analyze358.0ms (7.8%)

Algorithm

1×

Search

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample1.8s (38.7%)

Results

1.8s	8256×	body	128	valid
1.0ms	3×	body	128	invalid

Compiler

Compiled 74 to 56 computations (24.3% saved)

preprocess20.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify10.0ms (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))) (cos.f32 (.f32 314159265359/50000000000 u2)))

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

0.4b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 42 to 33 computations (21.4% saved)

localize29.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(*.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))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite58.0ms (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	2838	37

Stop Event

1×	node limit

Counts

4 → 113

Calls

Call 1

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

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

simplify36.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

510×	`times-frac_binary32`
509×	`fma-def_binary32`
384×	`associate-/r*_binary32`
273×	`associate-/l*_binary32`
191×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1138
1	362	1052
2	1212	970

Stop Event

1×	node limit

Counts

153 → 155

Calls

Call 1

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

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

prune189.0ms (4.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	141	14	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	14	156

Error

0.1b

Counts

156 → 14

Alt Table

Status	Error	Program
	0.5b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	2.2b	(+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
	2.9b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	14.6b	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.4b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.4b	(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.5b	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	2.4b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)

Compiler

Compiled 3462 to 2738 computations (20.9% saved)

localize39.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

series23.0ms (0.5%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	u2	@	0	(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)
2.0ms	u2	@	inf	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))
1.0ms	u1	@	inf	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))
1.0ms	u1	@	0	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))
1.0ms	u2	@	0	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))

rewrite53.0ms (1.2%)

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

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

Outputs

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

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

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

simplify39.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

863×	`times-frac_binary32`
604×	`fma-def_binary32`
385×	`associate-/l*_binary32`
316×	`associate-/r*_binary32`
230×	`associate-*l/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	1188
1	362	1109
2	1315	1002

Stop Event

1×	node limit

Counts

90 → 95

Calls

Call 1

Inputs
(sqrt.f32 (pow.f32 u1 3))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/2 (sqrt.f32 (pow.f32 u1 5))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (.f32 15/8 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (.f32 35/16 (sqrt.f32 (pow.f32 u1 9))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (*.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 (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 3/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 3/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
1
(+.f32 1 (*.f32 -296088132032719732196643/5000000000000000000000 (pow.f32 u2 2)))
(+.f32 (.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 1 (.f32 -296088132032719732196643/5000000000000000000000 (pow.f32 u2 2))))
(+.f32 (.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 1 (+.f32 (.f32 -296088132032719732196643/5000000000000000000000 (pow.f32 u2 2)) (*.f32 -58644740808116728613621848561447538841603627747060212551467462864942301/3750000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 -1))
(+.f32 (.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))) (.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 -1)))
(+.f32 (.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (cos.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 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 -1))))
(+.f32 (.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (+.f32 (.f32 3/2 (/.f32 (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 10)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (cos.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 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 -1)))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 -1))
(+.f32 (.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))) (.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 -1)))
(+.f32 (.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (cos.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 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 -1))))
(+.f32 (.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (cos.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 (cos.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 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 -1)))))
(sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))
(+.f32 (.f32 -296088132032719732196643/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(+.f32 (.f32 -296088132032719732196643/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (+.f32 (.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))
(+.f32 (.f32 -296088132032719732196643/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (+.f32 (.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (+.f32 (.f32 -58644740808116728613621848561447538841603627747060212551467462864942301/3750000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))

Outputs
(sqrt.f32 (pow.f32 u1 3))
(pow.f32 u1 3/2)
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/2 (sqrt.f32 (pow.f32 u1 5))))
(fma.f32 3/2 (fabs.f32 (pow.f32 u1 5/2)) (sqrt.f32 (pow.f32 u1 3)))
(fma.f32 3/2 (pow.f32 u1 5/2) (pow.f32 u1 3/2))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (.f32 15/8 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 7)) (*.f32 3/2 (fabs.f32 (pow.f32 u1 5/2)))))
(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 35/16 (sqrt.f32 (pow.f32 u1 9))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7))))))
(fma.f32 35/16 (sqrt.f32 (pow.f32 u1 9)) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7))))))
(+.f32 (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 7)) (*.f32 3/2 (fabs.f32 (pow.f32 u1 5/2)))) (fma.f32 35/16 (sqrt.f32 (pow.f32 u1 9)) (sqrt.f32 (pow.f32 u1 3))))
(fma.f32 35/16 (pow.f32 u1 9/2) (fma.f32 3/2 (pow.f32 u1 5/2) (fma.f32 15/8 (pow.f32 u1 7/2) (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 (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 3/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (.f32 3/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 15/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 15/8 u1) 3/2)) (sqrt.f32 -1))
(+.f32 (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(fma.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(+.f32 (fma.f32 15/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) (/.f32 35/16 (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (/.f32 35/16 u1) 15/8)))
(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 (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 3/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (.f32 3/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 15/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 15/8 u1) 3/2)) (sqrt.f32 -1))
(+.f32 (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(fma.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(+.f32 (fma.f32 15/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) (/.f32 35/16 (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (/.f32 35/16 u1) 15/8)))
1
(+.f32 1 (*.f32 -296088132032719732196643/5000000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (.f32 -296088132032719732196643/5000000000000000000000 (.f32 u2 u2)))
(fma.f32 -296088132032719732196643/5000000000000000000000 (*.f32 u2 u2) 1)
(+.f32 (.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 1 (.f32 -296088132032719732196643/5000000000000000000000 (pow.f32 u2 2))))
(fma.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4) (+.f32 1 (.f32 -296088132032719732196643/5000000000000000000000 (.f32 u2 u2))))
(fma.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -296088132032719732196643/5000000000000000000000 (*.f32 u2 u2) 1))
(+.f32 (.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 1 (+.f32 (.f32 -296088132032719732196643/5000000000000000000000 (pow.f32 u2 2)) (*.f32 -58644740808116728613621848561447538841603627747060212551467462864942301/3750000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
(fma.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4) (+.f32 1 (fma.f32 -296088132032719732196643/5000000000000000000000 (.f32 u2 u2) (.f32 -58644740808116728613621848561447538841603627747060212551467462864942301/3750000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
(+.f32 (fma.f32 -58644740808116728613621848561447538841603627747060212551467462864942301/3750000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (.f32 -296088132032719732196643/5000000000000000000000 (.f32 u2 u2))) (fma.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -296088132032719732196643/5000000000000000000000 (*.f32 u2 u2) (fma.f32 -58644740808116728613621848561447538841603627747060212551467462864942301/3750000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1)))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 -1))
(.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3))
(+.f32 (.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))) (.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 -1)))
(fma.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3)))
(fma.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 (/.f32 -3/2 (sqrt.f32 -1)) (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3) u1)))
(fma.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 u1 (sqrt.f32 -1)))))
(+.f32 (.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (cos.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 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 -1))))
(fma.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 u1 (sqrt.f32 -1))) (fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (cos.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 (sqrt.f32 -1) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3))))
(fma.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 u1 (sqrt.f32 -1))) (fma.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 (/.f32 -1/2 (.f32 u1 u1)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (/.f32 (sqrt.f32 -1) (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)))))))
(fma.f32 (/.f32 -1/2 (.f32 u1 u1)) (/.f32 (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2)) (/.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3))) (fma.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 u1 (sqrt.f32 -1))))))
(+.f32 (.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (+.f32 (.f32 3/2 (/.f32 (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 10)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (cos.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 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 -1)))))
(fma.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 u1 (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (/.f32 (.f32 (pow.f32 u1 3) (sqrt.f32 -1)) (fma.f32 3/2 (/.f32 (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 10))) (fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (cos.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 (sqrt.f32 -1) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3)))))
(fma.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 u1 (sqrt.f32 -1))) (fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 -1)) (/.f32 (fma.f32 3/2 (/.f32 (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)) -1) 10) (pow.f32 u1 3))) (fma.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 (/.f32 -1/2 (.f32 u1 u1)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (/.f32 (sqrt.f32 -1) (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2))))))))
(fma.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 u1 (sqrt.f32 -1))) (fma.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 -1/2 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 10 (fma.f32 -3/2 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2) -9)) (pow.f32 u1 3)) (/.f32 (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1)))))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 -1))
(.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3))
(+.f32 (.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))) (.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 -1)))
(fma.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3)))
(fma.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 (/.f32 -3/2 (sqrt.f32 -1)) (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3) u1)))
(fma.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 u1 (sqrt.f32 -1)))))
(+.f32 (.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (cos.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 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 -1))))
(fma.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 u1 (sqrt.f32 -1))) (fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (cos.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 (sqrt.f32 -1) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3))))
(fma.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 u1 (sqrt.f32 -1))) (fma.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 (/.f32 -1/2 (.f32 u1 u1)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (/.f32 (sqrt.f32 -1) (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)))))))
(fma.f32 (/.f32 -1/2 (.f32 u1 u1)) (/.f32 (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2)) (/.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3))) (fma.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 u1 (sqrt.f32 -1))))))
(+.f32 (.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (cos.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 (cos.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 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 -1)))))
(fma.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 u1 (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (/.f32 (.f32 (pow.f32 u1 3) (sqrt.f32 -1)) (fma.f32 3/2 (/.f32 (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 10))) (fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (cos.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 (sqrt.f32 -1) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3)))))
(fma.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 u1 (sqrt.f32 -1))) (fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 -1)) (/.f32 (fma.f32 3/2 (/.f32 (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2)) -1) 10) (pow.f32 u1 3))) (fma.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 (/.f32 -1/2 (.f32 u1 u1)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (/.f32 (sqrt.f32 -1) (+.f32 6 (pow.f32 (/.f32 -3/2 (sqrt.f32 -1)) 2))))))))
(fma.f32 -3/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 u1 (sqrt.f32 -1))) (fma.f32 (sqrt.f32 -1) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (.f32 -1/2 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 10 (fma.f32 -3/2 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2) -9)) (pow.f32 u1 3)) (/.f32 (+.f32 6 (pow.f32 (/.f32 3/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1)))))))
(sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))
(+.f32 (.f32 -296088132032719732196643/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(fma.f32 -296088132032719732196643/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (fma.f32 -296088132032719732196643/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(+.f32 (.f32 -296088132032719732196643/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (+.f32 (.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))
(fma.f32 -296088132032719732196643/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))) (fma.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))
(fma.f32 -296088132032719732196643/5000000000000000000000 (.f32 u2 (.f32 u2 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (*.f32 (fma.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (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 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -296088132032719732196643/5000000000000000000000 (.f32 u2 u2) 1)))
(+.f32 (.f32 -296088132032719732196643/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (+.f32 (.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (+.f32 (.f32 -58644740808116728613621848561447538841603627747060212551467462864942301/3750000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))))
(fma.f32 -296088132032719732196643/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))) (fma.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))) (fma.f32 -58644740808116728613621848561447538841603627747060212551467462864942301/3750000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 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))) (+.f32 (.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 -58644740808116728613621848561447538841603627747060212551467462864942301/3750000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))) (.f32 (fma.f32 -296088132032719732196643/5000000000000000000000 (*.f32 u2 u2) 1) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))
(fma.f32 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (fma.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 -58644740808116728613621848561447538841603627747060212551467462864942301/3750000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))) (.f32 (fma.f32 -296088132032719732196643/5000000000000000000000 (*.f32 u2 u2) 1) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))

prune157.0ms (3.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	111	14	125

Error

0.0b

Counts

125 → 14

Alt Table

Status	Error	Program
	0.5b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (log.f32 (exp.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))))
	2.9b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	3.7b	(cbrt.f32 (.f32 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (fma.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -296088132032719732196643/5000000000000000000000 (.f32 u2 u2) 1))))
	0.5b	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	14.6b	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.4b	(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.5b	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	2.4b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)

Compiler

Compiled 2998 to 2492 computations (16.9% saved)

localize35.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

series7.0ms (0.1%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	u2	@	inf	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
1.0ms	u2	@	0	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))

rewrite52.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

346×	`prod-diff_binary32`
222×	`expm1-udef_binary32`
221×	`log1p-udef_binary32`
191×	`log-pow_binary32`
132×	`fma-def_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	271	24
2	3326	24

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

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

Outputs

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

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

simplify40.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

385×	`times-frac_binary32`
323×	`fma-def_binary32`
230×	`associate-/r*_binary32`
221×	`associate-/l*_binary32`
187×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	792
1	245	746
2	773	680
3	3624	619

Stop Event

1×	node limit

Counts

63 → 56

Calls

Call 1

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

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

prune187.0ms (4.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	148	8	156
Fresh	5	7	12
Picked	1	0	1
Done	1	0	1
Total	155	15	170

Error

0.0b

Counts

170 → 15

Alt Table

Status	Error	Program
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
▶	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
	0.5b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (log.f32 (exp.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))))
	1.4b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	2.9b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	6.4b	(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	4.6b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	3.3b	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	14.5b	(.f32 (sqrt.f32 (log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	3.7b	(cbrt.f32 (.f32 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (fma.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -296088132032719732196643/5000000000000000000000 (.f32 u2 u2) 1))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.9b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))

Compiler

Compiled 3752 to 2814 computations (25% saved)

localize55.0ms (1.2%)

Local error

Found 4 expressions with local error:

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

series8.0ms (0.2%)

Counts

3 → 20

Calls

9 calls:

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

rewrite55.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`log1p-expm1-u_binary32`
861×	`expm1-log1p-u_binary32`
86×	`add-sqr-sqrt_binary32`
82×	`*-un-lft-identity_binary32`
82×	`pow1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	176	22
2	2416	22

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs

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

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

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

simplify31.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

772×	`fma-def_binary32`
377×	`distribute-lft-out_binary32`
363×	`distribute-rgt-out_binary32`
235×	`associate-l_binary32`
198×	`fma-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	239
1	125	219
2	378	211
3	1159	196
4	3340	196

Stop Event

1×	node limit

Counts

141 → 148

Calls

Call 1

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

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

prune246.0ms (5.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	201	15	216

Error

0.0b

Counts

216 → 15

Alt Table

Status	Error	Program
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
✓	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
	0.5b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (log.f32 (exp.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))))
	1.4b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	2.9b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	6.4b	(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	4.6b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	3.3b	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	14.5b	(.f32 (sqrt.f32 (log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	3.7b	(cbrt.f32 (.f32 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (fma.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -296088132032719732196643/5000000000000000000000 (.f32 u2 u2) 1))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.9b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))

Compiler

Compiled 5199 to 3846 computations (26% saved)

regimes828.0ms (18.1%)

Accuracy

Total 0.3b remaining (81.5%)

Threshold costs 0.3b (81.5%)

Counts

150 → 1

Compiler

Compiled 2458 to 1799 computations (26.8% 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	17	27
1	23	27
2	27	27
3	29	27
4	30	27

Stop Event

1×

saturated

Calls

Call 1

Inputs
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (expm1.f32 (log1p.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))))

Outputs
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (expm1.f32 (log1p.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))))

end232.0ms (5.1%)

Stop Event

1×

fuel

Compiler

Compiled 325 to 259 computations (20.3% 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

analyze358.0ms (7.8%)

sample1.8s (38.7%)

preprocess20.0ms (0.4%)

simplify10.0ms (0.2%)

prune2.0ms (0%)

localize29.0ms (0.6%)

series11.0ms (0.2%)

rewrite58.0ms (1.3%)

simplify36.0ms (0.8%)

prune189.0ms (4.1%)

localize39.0ms (0.9%)

series23.0ms (0.5%)

rewrite53.0ms (1.2%)

simplify39.0ms (0.9%)

prune157.0ms (3.4%)

localize35.0ms (0.8%)

series7.0ms (0.1%)

rewrite52.0ms (1.1%)

simplify40.0ms (0.9%)

prune187.0ms (4.1%)

localize55.0ms (1.2%)

series8.0ms (0.2%)

rewrite55.0ms (1.2%)

simplify31.0ms (0.7%)

prune246.0ms (5.4%)

regimes828.0ms (18.1%)

simplify2.0ms (0.1%)

end232.0ms (5.1%)

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