Details

analyze224.0ms (2.2%)

Algorithm

1×

Search

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample2.4s (23.6%)

Results

2.4s	8256×	body	256	valid
1.0ms	6×	body	256	invalid

preprocess25.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 14 to 11 computations (21.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 27 computations (30.8% saved)

series45.0ms (0.4%)

Counts

4 → 40

Calls

15 calls:

Time	Variable		Point	Expression
35.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	228	37
2	2842	37

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

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

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

simplify113.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

631×	`associate-/l/_binary32`
457×	`fma-def_binary32`
386×	`unswap-sqr_binary32`
311×	`associate-/r/_binary32`
299×	`times-frac_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	117	1012
1	347	952
2	1059	865
3	3716	720
4	6867	718

Stop Event

1×	node limit

Counts

193 → 201

Calls

Call 1

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

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

eval151.0ms (1.5%)

Compiler: Compiled 3514 to 2781 computations (20.9% saved)

prune65.0ms (0.6%)

Pruning

21 alts after pruning (20 fresh and 1 done)

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

Error

0.0b

Counts

202 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.5b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
▶	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.7b	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	3.6b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.5b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.5b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.7b	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.4b	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.7b	(pow.f32 (E.f32) (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.6b	(.f32 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	1.5b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.5b	(.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	6.6b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Compiler

Compiled 642 to 521 computations (18.8% saved)

localize202.0ms (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
	0.2b	(/.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))

Compiler

Compiled 56 to 33 computations (41.1% saved)

series8.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

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

rewrite99.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	271	28
2	3335	28

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

Inputs

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

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

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

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

Outputs

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

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

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

simplify95.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

768×	`associate-*r/_binary32`
641×	`distribute-lft-out_binary32`
541×	`distribute-rgt-out_binary32`
503×	`associate-/l/_binary32`
434×	`*-commutative_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	83	778
1	228	745
2	668	686
3	2596	586
4	6211	572

Stop Event

1×	node limit

Counts

115 → 100

Calls

Call 1

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

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

localize76.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize154.0ms (1.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 39 computations (20.4% saved)

series14.0ms (0.1%)

Counts

3 → 31

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	-inf	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	u2	@	inf	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	u2	@	0	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	-inf	(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
1.0ms	u1	@	inf	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	253	34
2	3123	34

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

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

Outputs

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

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

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

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

598×	`fma-neg_binary32`
507×	`times-frac_binary32`
458×	`fma-def_binary32`
375×	`associate-/r*_binary32`
348×	`associate-/r/_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	98	1032
1	314	971
2	1032	889
3	4722	805
4	7661	801

Stop Event

1×	node limit

Counts

158 → 157

Calls

Call 1

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

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

localize50.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 28 computations (33.3% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

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

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`log-prod_binary32`
357×	`pow-prod-down_binary32`
310×	`pow2_binary32`
303×	`prod-diff_binary32`
217×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	249	36
2	3145	36

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

752×	`associate-*r/_binary32`
587×	`distribute-rgt-out_binary32`
534×	`distribute-lft-out_binary32`
503×	`associate-/l/_binary32`
467×	`unswap-sqr_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	101	867
1	282	824
2	840	750
3	3192	646
4	6674	632

Stop Event

1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

localize171.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	1.5b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)

Compiler

Compiled 54 to 40 computations (25.9% saved)

series81.0ms (0.8%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
54.0ms	u1	@	0	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
16.0ms	u2	@	0	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	u1	@	-inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
2.0ms	u1	@	0	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
2.0ms	u1	@	inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`log-prod_binary32`
351×	`pow2_binary32`
271×	`prod-diff_binary32`
241×	`pow1/3_binary32`
239×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	304	36
2	3565	36

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

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

Outputs

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

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

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

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

790×	`fma-def_binary32`
607×	`associate-/l*_binary32`
462×	`fma-neg_binary32`
449×	`associate-r_binary32`
432×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	1494
1	551	1344
2	1929	1195
3	7583	1195

Stop Event

1×	node limit

Counts

111 → 112

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6))))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 35/16 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 (.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6)))) (.f32 1/8 (sqrt.f32 (pow.f32 u1 7))))) (pow.f32 u1 2))) (+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (.f32 1/2 (.f32 (pow.f32 (*.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (.f32 1/2 (.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1)))))
(+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 35/16 (sqrt.f32 -1)) (+.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) 1/3) (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3))))) (.f32 1/8 (sqrt.f32 -1)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 3)))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (.f32 1/2 (.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (.f32 1/2 (.f32 (pow.f32 (*.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (.f32 1/2 (.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))) (.f32 -1/3 (/.f32 (-.f32 (.f32 -35/16 (sqrt.f32 -1)) (+.f32 (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) 1/3) (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))))) (.f32 -1/8 (sqrt.f32 -1)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 3)))))))
(sqrt.f32 (pow.f32 u1 3))
(+.f32 (*.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 (pow.f32 u1 3)))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (.f32 15/8 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 35/16 (sqrt.f32 (pow.f32 u1 9))) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

Outputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)))
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6)))
(fma.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6))))
(fma.f32 1/3 (.f32 u1 (+.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 -3/4 (pow.f32 (pow.f32 u1 17) 1/6)))) (+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6))))
(fma.f32 1/3 (.f32 u1 (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/4))) (fma.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(fma.f32 u1 (+.f32 (.f32 (pow.f32 u1 3/2) 5/8) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -1/4)) (fma.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 35/16 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 (.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6)))) (.f32 1/8 (sqrt.f32 (pow.f32 u1 7))))) (pow.f32 u1 2))) (+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)))))
(fma.f32 1/3 (.f32 u1 (+.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 -3/4 (pow.f32 (pow.f32 u1 17) 1/6)))) (fma.f32 1/3 (.f32 (.f32 u1 u1) (-.f32 (.f32 (sqrt.f32 (pow.f32 u1 3)) 35/16) (fma.f32 (cbrt.f32 (.f32 u1 u1)) (+.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 -3/4 (pow.f32 (pow.f32 u1 17) 1/6))) (.f32 1/8 (sqrt.f32 (pow.f32 u1 7)))))) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6)))))
(fma.f32 1/3 (.f32 u1 (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/4))) (fma.f32 1/3 (.f32 u1 (.f32 u1 (-.f32 (.f32 (sqrt.f32 (pow.f32 u1 3)) 35/16) (fma.f32 (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/4)) (cbrt.f32 (.f32 u1 u1)) (.f32 1/8 (sqrt.f32 (pow.f32 u1 7))))))) (fma.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1))))
(fma.f32 1/3 (.f32 u1 (+.f32 (fma.f32 15/8 (pow.f32 u1 3/2) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/4)) (.f32 u1 (-.f32 (.f32 (pow.f32 u1 3/2) 35/16) (fma.f32 (fma.f32 15/8 (pow.f32 u1 3/2) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/4)) (cbrt.f32 (.f32 u1 u1)) (*.f32 1/8 (pow.f32 u1 7/2))))))) (fma.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (.f32 1/2 (.f32 (pow.f32 (*.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))))
(+.f32 (sqrt.f32 -1) (.f32 1/2 (.f32 (cbrt.f32 (sqrt.f32 -1)) (/.f32 1 u1))))
(fma.f32 1/2 (/.f32 (cbrt.f32 (sqrt.f32 -1)) u1) (sqrt.f32 -1))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (.f32 1/2 (.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1)))))
(+.f32 (sqrt.f32 -1) (fma.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) 3/4)) (.f32 (.f32 u1 u1) (pow.f32 (sqrt.f32 -1) 2))) (.f32 1/2 (.f32 (cbrt.f32 (sqrt.f32 -1)) (/.f32 1 u1)))))
(+.f32 (fma.f32 1/2 (/.f32 (cbrt.f32 (sqrt.f32 -1)) u1) (sqrt.f32 -1)) (.f32 -1/3 (/.f32 (fma.f32 15/8 (sqrt.f32 -1) (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) -3/4)) (*.f32 u1 u1))))
(fma.f32 -1/3 (/.f32 (fma.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) -3/4 (.f32 15/8 (sqrt.f32 -1))) (.f32 u1 u1)) (fma.f32 1/2 (/.f32 (cbrt.f32 (sqrt.f32 -1)) u1) (sqrt.f32 -1)))
(+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 35/16 (sqrt.f32 -1)) (+.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) 1/3) (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3))))) (.f32 1/8 (sqrt.f32 -1)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 3)))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (.f32 1/2 (.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))))))
(fma.f32 1/3 (/.f32 (-.f32 (.f32 35/16 (sqrt.f32 -1)) (fma.f32 (cbrt.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2))) (-.f32 (.f32 15/8 (sqrt.f32 -1)) (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) 3/4)) (.f32 1/8 (sqrt.f32 -1)))) (.f32 (pow.f32 u1 3) (pow.f32 (sqrt.f32 -1) 2))) (+.f32 (sqrt.f32 -1) (fma.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) 3/4)) (.f32 (.f32 u1 u1) (pow.f32 (sqrt.f32 -1) 2))) (.f32 1/2 (*.f32 (cbrt.f32 (sqrt.f32 -1)) (/.f32 1 u1))))))
(+.f32 (sqrt.f32 -1) (+.f32 (fma.f32 1/2 (/.f32 (cbrt.f32 (sqrt.f32 -1)) u1) (.f32 -1/3 (/.f32 (fma.f32 15/8 (sqrt.f32 -1) (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) -3/4)) (.f32 u1 u1)))) (.f32 -1/3 (/.f32 (-.f32 (.f32 35/16 (sqrt.f32 -1)) (fma.f32 1/8 (sqrt.f32 -1) (.f32 (fma.f32 15/8 (sqrt.f32 -1) (*.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) -3/4)) (cbrt.f32 -1)))) (pow.f32 u1 3)))))
(fma.f32 -1/3 (/.f32 (-.f32 (.f32 (sqrt.f32 -1) 33/16) (.f32 (fma.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) -3/4 (.f32 15/8 (sqrt.f32 -1))) (cbrt.f32 -1))) (pow.f32 u1 3)) (fma.f32 -1/3 (/.f32 (fma.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) -3/4 (.f32 15/8 (sqrt.f32 -1))) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (cbrt.f32 (sqrt.f32 -1)) u1) (sqrt.f32 -1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (.f32 1/2 (.f32 (pow.f32 (*.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))))
(+.f32 (sqrt.f32 -1) (.f32 1/2 (.f32 (cbrt.f32 (sqrt.f32 -1)) (/.f32 1 u1))))
(fma.f32 1/2 (/.f32 (cbrt.f32 (sqrt.f32 -1)) u1) (sqrt.f32 -1))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (.f32 1/2 (.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1)))))
(+.f32 (sqrt.f32 -1) (fma.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) 3/4)) (.f32 (.f32 u1 u1) (pow.f32 (sqrt.f32 -1) 2))) (.f32 1/2 (.f32 (cbrt.f32 (sqrt.f32 -1)) (/.f32 1 u1)))))
(+.f32 (fma.f32 1/2 (/.f32 (cbrt.f32 (sqrt.f32 -1)) u1) (sqrt.f32 -1)) (.f32 -1/3 (/.f32 (fma.f32 15/8 (sqrt.f32 -1) (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) -3/4)) (*.f32 u1 u1))))
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(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 6)))))
(+.f32 (.f32 (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1)))
(.f32 (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))))

eval537.0ms (5.2%)

Compiler: Compiled 13986 to 11146 computations (20.3% saved)

prune163.0ms (1.6%)

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	750	25	775
Fresh	5	10	15
Picked	1	0	1
Done	2	3	5
Total	758	38	796

Error

0.0b

Counts

796 → 38

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	6.6b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	6.7b	(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
	1.7b	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))) (sqrt.f32 (-.f32 1 u1)))
	0.6b	(.f32 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.7b	(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))
	6.7b	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
▶	11.1b	(sqrt.f32 u1)
▶	0.5b	(.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.2b	(.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	3.6b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.6b	(sqrt.f32 (fma.f32 u1 u1 u1))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.5b	(.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6) -3) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	7.5b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.7b	(/.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6))
	7.3b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)
	6.7b	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.6b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
✓	6.6b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
▶	6.7b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
▶	3.2b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
	7.5b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	7.3b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
	1.2b	(.f32 (/.f32 1 (sqrt.f32 (expm1.f32 (neg.f32 (log.f32 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.8b	(pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2)
	1.5b	(sqrt.f32 (/.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1)))
	0.5b	(.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.5b	(.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.6b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)

Compiler

Compiled 1069 to 884 computations (17.3% saved)

localize63.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.3b	(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
✓	1.0b	(pow.f32 98696044010906577398881/2500000000000000000000 1/2)

Compiler

Compiled 49 to 37 computations (24.5% saved)

series4.0ms (0%)

Counts

3 → 32

Calls

9 calls:

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

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	276	22
2	3192	22

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

Inputs

(pow.f32 98696044010906577398881/2500000000000000000000 1/2)

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

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

Outputs

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

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

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

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

764×	`associate-*r/_binary32`
641×	`distribute-lft-out_binary32`
541×	`distribute-rgt-out_binary32`
502×	`associate-/l/_binary32`
419×	`*-commutative_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	694
1	219	661
2	655	602
3	2565	502
4	6154	488

Stop Event

1×	node limit

Counts

75 → 65

Calls

Call 1

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

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

localize7.0ms (0.1%)

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

localize35.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.4b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)

Compiler

Compiled 28 to 20 computations (28.6% saved)

series9.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
3.0ms	u1	@	0	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
1.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
1.0ms	u1	@	inf	(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
0.0ms	u1	@	0	(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	174	18
2	2195	18

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))

Outputs

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

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

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

718×	`distribute-rgt-in_binary32`
700×	`distribute-lft-in_binary32`
519×	`fma-def_binary32`
345×	`associate-l_binary32`
321×	`associate-r_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	711
1	360	654
2	1188	584
3	4975	567

Stop Event

1×	node limit

Counts

61 → 71

Calls

Call 1

Inputs
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (.f32 -1/2 (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 1 u1))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 1 u1))) (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/8 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3)) (.f32 3/4 (+.f32 (.f32 2/3 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (.f32 -1/9 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3)))))) (pow.f32 u1 2))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/6) (/.f32 1 u1))) (+.f32 (/.f32 (.f32 (+.f32 (.f32 1/8 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3)) (.f32 3/4 (+.f32 (.f32 2/3 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (.f32 -1/9 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (/.f32 (.f32 (sqrt.f32 -1) (-.f32 (+.f32 (.f32 1/4 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 14)) 1/3) (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) (+.f32 (.f32 2/27 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (.f32 -2 (-.f32 (.f32 1/27 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) 1)))))) (.f32 -3/8 (.f32 (+.f32 (.f32 2/3 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (.f32 -1/9 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 10)) 1/3))) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3)))) (*.f32 1/48 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))))) (pow.f32 u1 3)))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (.f32 -1/3 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 1/27 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) 1)) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3)))) (.f32 -1/3 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (*.f32 1/3 (/.f32 (cbrt.f32 -1) u1)))
(+.f32 (.f32 2/9 (/.f32 (cbrt.f32 -1) (pow.f32 u1 2))) (+.f32 (cbrt.f32 -1) (.f32 1/3 (/.f32 (cbrt.f32 -1) u1))))
(+.f32 (.f32 14/81 (/.f32 (cbrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 2/9 (/.f32 (cbrt.f32 -1) (pow.f32 u1 2))) (+.f32 (cbrt.f32 -1) (*.f32 1/3 (/.f32 (cbrt.f32 -1) u1)))))

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

localize52.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 31 computations (31.1% saved)

series9.0ms (0.1%)

Counts

2 → 16

Calls

9 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`log-prod_binary32`
390×	`prod-diff_binary32`
333×	`pow2_binary32`
266×	`fma-def_binary32`
233×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	270	24
2	3424	24

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (/.f32 1 (/.f32 (fma.f32 u1 -1/2 1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (fma.f32 u1 -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 u1) (/.f32 1 (fma.f32 u1 -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1 (fma.f32 u1 -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (*.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 1 (fma.f32 u1 -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (/.f32 u1 (pow.f32 (/.f32 (fma.f32 u1 -1/2 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (pow.f32 (/.f32 (fma.f32 u1 -1/2 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))) (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (*.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (/.f32 1 (fma.f32 u1 -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 u1))) (/.f32 1 (neg.f32 (fma.f32 u1 -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (fma.f32 u1 -1/2 1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (fma.f32 u1 -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1) (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1) (/.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (fma.f32 u1 -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (fma.f32 u1 -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (pow.f32 (fma.f32 u1 -1/2 1) 2))) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (fma.f32 u1 -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (pow.f32 (fma.f32 u1 -1/2 1) 2))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (fma.f32 u1 -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (pow.f32 (fma.f32 u1 -1/2 1) 2))) (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (fma.f32 u1 -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (cbrt.f32 (pow.f32 (fma.f32 u1 -1/2 1) 2))) (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (pow.f32 (fma.f32 u1 -1/2 1) 2))) (/.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (fma.f32 u1 -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 u1 -1/2 1))) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (fma.f32 u1 -1/2 1))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 u1 -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (fma.f32 u1 -1/2 1))) (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 u1 -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (sqrt.f32 (fma.f32 u1 -1/2 1))) (/.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (fma.f32 u1 -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (fma.f32 (pow.f32 u1 3) -1/8 1)) (fma.f32 (*.f32 u1 -1/2) (fma.f32 u1 -1/2 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (-.f32 1 (*.f32 (*.f32 u1 u1) 1/4))) (+.f32 1 (*.f32 1/2 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (pow.f32 (/.f32 (fma.f32 u1 -1/2 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (fma.f32 u1 -1/2 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) (pow.f32 (fma.f32 u1 -1/2 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (/.f32 (fma.f32 u1 -1/2 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (fma.f32 u1 -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 u1 (pow.f32 (/.f32 (fma.f32 u1 -1/2 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) (pow.f32 (fma.f32 u1 -1/2 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))))))

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

707×	`associate-/r/_binary32`
707×	`distribute-lft-out_binary32`
562×	`fma-def_binary32`
456×	`associate-l_binary32`
456×	`associate-/l/_binary32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	47	396
1	119	342
2	305	327
3	1027	325
4	3596	313
5	6558	301

Stop Event

1×	node limit

Counts

90 → 91

Calls

Call 1

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

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

localize62.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 36 computations (28% saved)

series4.0ms (0%)

Counts

1 → 20

Calls

6 calls:

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`log-prod_binary32`
341×	`pow-prod-down_binary32`
328×	`pow2_binary32`
271×	`prod-diff_binary32`
225×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	273	17
2	3320	17

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

600×	`associate-/l/_binary32`
391×	`times-frac_binary32`
345×	`unswap-sqr_binary32`
336×	`fma-def_binary32`
310×	`div-sub_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	700
1	233	662
2	739	598
3	3551	457
4	6409	457

Stop Event

1×	node limit

Counts

37 → 34

Calls

Call 1

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

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

eval372.0ms (3.6%)

Compiler: Compiled 10890 to 8676 computations (20.3% saved)

prune349.0ms (3.4%)

Pruning

44 alts after pruning (36 fresh and 8 done)

	Pruned	Kept	Total
New	573	10	583
Fresh	4	26	30
Picked	0	1	1
Done	0	7	7
Total	577	44	621

Error

0.0b

Counts

621 → 44

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	6.6b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	7.5b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶	0.4b	(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	8.4b	(.f32 (/.f32 1 (+.f32 1 (.f32 -1/2 u1))) (sqrt.f32 u1))
	1.7b	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.7b	(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))) (sqrt.f32 (-.f32 1 u1)))
	11.1b	(pow.f32 (cbrt.f32 u1) 3/2)
	0.6b	(.f32 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.7b	(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))
✓	11.1b	(sqrt.f32 u1)
✓	0.5b	(.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.2b	(.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	3.6b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	11.0b	(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
	3.2b	(.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	1.5b	(sqrt.f32 (/.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1)))
▶	8.6b	(sqrt.f32 (fma.f32 u1 u1 u1))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	3.3b	(.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (-.f32 1 (.f32 (.f32 u1 u1) 1/4))) (+.f32 1 (.f32 1/2 u1)))
	1.5b	(.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6) -3) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	7.5b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.7b	(/.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6))
	7.3b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)
	6.7b	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.4b	(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
	6.6b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	6.7b	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
✓	6.6b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	6.7b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
	1.2b	(.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2) 3/2) (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	7.3b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
✓	3.2b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
	1.2b	(.f32 (/.f32 1 (sqrt.f32 (expm1.f32 (neg.f32 (log.f32 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.8b	(pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2)
	1.5b	(.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	6.6b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)

Compiler

Compiled 1199 to 990 computations (17.4% saved)

localize51.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 33 computations (21.4% saved)

series6.0ms (0.1%)

Counts

2 → 32

Calls

9 calls:

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

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary32`
303×	`pow2_binary32`
294×	`pow-prod-down_binary32`
221×	`prod-diff_binary32`
210×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	255	28
2	3012	28

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	990
1	306	929
2	945	825
3	4096	675
4	7139	675

Stop Event

1×	node limit

Counts

78 → 79

Calls

Call 1

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

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

localize26.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 17 computations (19% saved)

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	79	6
2	910	6

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

728×	`fma-neg_binary32`
539×	`div-sub_binary32`
536×	`cancel-sign-sub-inv_binary32`
423×	`associate-/l/_binary32`
415×	`associate-*l/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	73
1	70	71
2	162	70
3	391	70
4	1009	70
5	2540	70
6	7758	70

Stop Event

1×	node limit

Counts

52 → 59

Calls

Call 1

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

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

localize87.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 42 computations (20.8% saved)

series9.0ms (0.1%)

Counts

3 → 52

Calls

15 calls:

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

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`log-prod_binary32`
335×	`pow2_binary32`
334×	`pow-prod-down_binary32`
232×	`pow1/3_binary32`
230×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	274	41
2	3417	41

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

Inputs

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

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

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

Outputs

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(sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 1 (/.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (pow.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 2) (cbrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) 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(#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (/.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) -2) (cbrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (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 (+.f32 (/.f32 1 u1) -1) -1/2) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 (/.f32 1 u1) -1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 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simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

498×	`fma-def_binary32`
460×	`associate-/r*_binary32`
426×	`times-frac_binary32`
388×	`associate-/r/_binary32`
352×	`associate-r_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1485
1	358	1381
2	1153	1282
3	5375	1209

Stop Event

1×	node limit

Counts

190 → 177

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)))) (/.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)))) (/.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)))) (+.f32 (/.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/16 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 5) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))))))
(/.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)))) (/.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)))) (/.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)))) (+.f32 (/.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/16 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 5) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 2))))))
(sqrt.f32 (-.f32 (/.f32 1 u1) 1))
(+.f32 (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))) (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(+.f32 (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))) (+.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)) (.f32 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (-.f32 (/.f32 1 u1) 1))))))
(+.f32 (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))) (+.f32 (.f32 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))) (+.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)) (.f32 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))))
(.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)) (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)) (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)) (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)) (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)) (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)) (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)) (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)) (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))))
(/.f32 1 u1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
-1
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
-1
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)

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

localize650.0ms (6.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 57 to 43 computations (24.6% saved)

series12.0ms (0.1%)

Counts

3 → 52

Calls

15 calls:

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

585×	`log-prod_binary32`
339×	`pow-prod-down_binary32`
309×	`pow2_binary32`
286×	`prod-diff_binary32`
216×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	254	39
2	3161	39

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs

(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)

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

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

Outputs

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

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

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

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

682×	`associate-/l*_binary32`
567×	`fma-def_binary32`
550×	`times-frac_binary32`
489×	`fma-neg_binary32`
356×	`distribute-rgt-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	1020
1	228	978
2	700	920
3	2932	889

Stop Event

1×	node limit

Counts

142 → 129

Calls

Call 1

Inputs
1
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(+.f32 1 (+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3)) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 4)))))
(.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))))
(.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))))
(/.f32 u1 (-.f32 1 u1))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 6) u1) (-.f32 1 u1))))))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
u1
(+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 (pow.f32 u2 2) u1)) u1)
(+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 (pow.f32 u2 2) u1)) (+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) u1)) u1))
(+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 (pow.f32 u2 2) u1)) (+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) u1)) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) u1)) u1)))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)

Outputs
1
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1)
(+.f32 1 (+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(+.f32 1 (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))
(+.f32 1 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4))))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(+.f32 1 (+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
(+.f32 1 (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
(+.f32 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1) (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1)
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 u1 (*.f32 u1 u1)))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (fma.f32 u1 u1 u1))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))))
(fma.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 (.f32 u1 u1) (pow.f32 u1 3))))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 u1 (fma.f32 u1 u1 (pow.f32 u1 3))))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3)) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 4)))))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 u1 (.f32 u1 u1))) (.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (pow.f32 u1 3) (pow.f32 u1 4))))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 (+.f32 u1 (*.f32 u1 u1)) (+.f32 (pow.f32 u1 3) (pow.f32 u1 4))))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 (+.f32 (.f32 u1 u1) 1) (fma.f32 u1 u1 u1)))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (*.f32 (+.f32 1 u1) (+.f32 u1 (pow.f32 u1 3))))
(.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))
(neg.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(.f32 -1 (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(-.f32 (neg.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))
(-.f32 (neg.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 -1 (/.f32 -1 u1)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))))
(fma.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (.f32 -1 (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))))
(-.f32 (-.f32 (neg.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1))) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
(-.f32 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (+.f32 -1 (/.f32 -1 u1))) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))
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(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1)

eval306.0ms (3%)

Compiler: Compiled 11642 to 9541 computations (18% saved)

prune221.0ms (2.1%)

Pruning

54 alts after pruning (43 fresh and 11 done)

	Pruned	Kept	Total
New	653	18	671
Fresh	6	25	31
Picked	1	0	1
Done	1	11	12
Total	661	54	715

Error

0.0b

Counts

715 → 54

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	7.5b	(.f32 (pow.f32 (/.f32 1 u1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.6b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	7.5b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	27.6b	(-.f32 (/.f32 1/8 u1) (+.f32 u1 1/2))
✓	0.4b	(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	8.4b	(.f32 (/.f32 1 (+.f32 1 (.f32 -1/2 u1))) (sqrt.f32 u1))
✓	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.7b	(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
	11.1b	(pow.f32 (cbrt.f32 u1) 3/2)
	0.4b	(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))))
	0.6b	(.f32 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	30.7b	(-.f32 -1/2 u1)
	16.1b	(sqrt.f32 (/.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1))) 1) (-.f32 1 u1)))
	0.5b	(/.f32 1 (.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
✓	11.1b	(sqrt.f32 u1)
	30.6b	(neg.f32 u1)
	8.2b	(.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	3.6b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	11.0b	(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
	3.2b	(.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 -1/2 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	8.6b	(sqrt.f32 (fma.f32 u1 u1 u1))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	3.3b	(.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (-.f32 1 (.f32 (.f32 u1 u1) 1/4))) (+.f32 1 (.f32 1/2 u1)))
	1.5b	(.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6) -3) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	7.5b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (pow.f32 (expm1.f32 (neg.f32 (log.f32 u1))) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.5b	(.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	30.3b	(+.f32 (+.f32 u1 1/2) (/.f32 -1/8 u1))
	0.4b	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.5b	(sqrt.f32 (/.f32 (.f32 u1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 314159265359/50000000000 u2)))))) (-.f32 1 u1)))
	7.3b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)
	6.7b	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.4b	(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
	6.6b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	1.6b	(pow.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6)) 3)
	12.8b	(-.f32 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) 1)
	25.6b	(+.f32 u1 1/2)
	6.7b	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
✓	6.6b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	6.7b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
	1.2b	(.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2) 3/2) (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	7.3b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
✓	3.2b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
	8.7b	(*.f32 (pow.f32 (+.f32 u1 1) 1/2) (sqrt.f32 u1))
	4.7b	(sqrt.f32 (/.f32 (.f32 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1) u1) (-.f32 1 u1)))
	26.0b	u1
	11.1b	(pow.f32 (/.f32 1 u1) -1/2)
	6.8b	(pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2)
	8.7b	(hypot.f32 (sqrt.f32 u1) u1)
✓	6.6b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)

Compiler

Compiled 713 to 588 computations (17.5% saved)

regimes391.0ms (3.8%)

Counts

74 → 1

Calls

Call 1

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

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

Calls

8 calls:

66.0ms	cosTheta_i
50.0ms	u2
44.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
43.0ms	(*.f32 314159265359/50000000000 u2)
41.0ms	(/.f32 u1 (-.f32 1 u1))

Results

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

Compiler

Compiled 884 to 660 computations (25.3% saved)

regimes224.0ms (2.2%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

9 calls:

39.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
31.0ms	(/.f32 u1 (-.f32 1 u1))
28.0ms	(*.f32 314159265359/50000000000 u2)
25.0ms	u2
24.0ms	(/.f32 u1 (-.f32 1 u1))

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`u1`
0.4b	1	`u2`
0.4b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.4b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.4b	1	`(/.f32 u1 (-.f32 1 u1))`
0.4b	1	`(/.f32 u1 (-.f32 1 u1))`
0.4b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
0.4b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 277 to 201 computations (27.4% saved)

regimes552.0ms (5.3%)

Counts

30 → 2

Calls

Call 1

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

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

Calls

9 calls:

112.0ms	(/.f32 u1 (-.f32 1 u1))
76.0ms	u2
73.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
65.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
56.0ms	(/.f32 u1 (-.f32 1 u1))

Results

Error	Segments	Branch
6.6b	1	`cosTheta_i`
4.3b	2	`u1`
3.3b	2	`u2`
4.3b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
4.3b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
4.3b	2	`(/.f32 u1 (-.f32 1 u1))`
4.3b	2	`(/.f32 u1 (-.f32 1 u1))`
3.3b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
3.3b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 266 to 192 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.012429142370820045	0.013245515525341034

Compiler

Compiled 20 to 16 computations (20% saved)

regimes141.0ms (1.4%)

Counts

21 → 1

Calls

Call 1

Inputs
u1
(neg.f32 u1)
(-.f32 -1/2 u1)
(+.f32 u1 1/2)
(-.f32 (/.f32 1/8 u1) (+.f32 u1 1/2))
(+.f32 (+.f32 u1 1/2) (/.f32 -1/8 u1))
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(.f32 (/.f32 1 (+.f32 1 (.f32 -1/2 u1))) (sqrt.f32 u1))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(hypot.f32 (sqrt.f32 u1) u1)
(pow.f32 (cbrt.f32 u1) 3/2)
(sqrt.f32 (fma.f32 u1 u1 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))

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

Calls

5 calls:

45.0ms	u1
23.0ms	(/.f32 u1 (-.f32 1 u1))
22.0ms	cosTheta_i
21.0ms	u2
21.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

Error	Segments	Branch
6.6b	1	`cosTheta_i`
6.6b	1	`u1`
6.6b	1	`u2`
6.6b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
6.6b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 159 to 112 computations (29.6% saved)

regimes99.0ms (1%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(sqrt.f32 u1)

Calls

3 calls:

75.0ms	u1
11.0ms	u2
10.0ms	cosTheta_i

Results

Error	Segments	Branch
11.1b	1	`cosTheta_i`
11.1b	1	`u1`
11.1b	1	`u2`

Compiler

Compiled 45 to 32 computations (28.9% saved)

regimes36.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(+.f32 u1 1/2)

Calls

3 calls:

12.0ms	cosTheta_i
11.0ms	u2
10.0ms	u1

Results

Error	Segments	Branch
25.6b	1	`cosTheta_i`
25.6b	1	`u1`
25.6b	1	`u2`

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes24.0ms (0.2%)

Accuracy

Total -5.0b remaining (-19.2%)

Threshold costs -5.0b (-19.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
u1

Calls

3 calls:

8.0ms	u2
7.0ms	u1
7.0ms	cosTheta_i

Results

Error	Segments	Branch
26.0b	1	`cosTheta_i`
26.0b	1	`u1`
26.0b	1	`u2`

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary32`
4×	`*-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	24	80
1	33	80
2	36	80
3	38	80
4	39	80

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 3489661/268435456) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)
(+.f32 u1 1/2)
u1

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 3489661/268435456) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 3489661/268435456) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)
(+.f32 u1 1/2)
u1

Compiler

Compiled 74 to 59 computations (20.3% saved)

soundness0.0ms (0%)

end87.0ms (0.8%)

Compiler: Compiled 56 to 40 computations (28.6% saved)

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

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

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