Details

analyze1.1s (6.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.8%	99.2%	0%	0%	0%	0
0%	0%	0.8%	99.2%	0%	0%	0%	1
0%	0%	0.8%	99.2%	0%	0%	0%	2
0%	0%	0.8%	99.2%	0%	0%	0%	3
0%	0%	0.8%	99.2%	0%	0%	0%	4
0%	0%	0.8%	99.2%	0%	0%	0%	5
33.3%	0.2%	0.4%	99.4%	0%	0%	0%	6
33.3%	0.2%	0.4%	99.4%	0%	0%	0%	7
33.3%	0.2%	0.4%	99.4%	0%	0%	0%	8
33.3%	0.2%	0.4%	99.4%	0%	0%	0%	9
60%	0.3%	0.2%	99.5%	0%	0%	0%	10
60%	0.3%	0.2%	99.5%	0%	0%	0%	11
60%	0.3%	0.2%	99.5%	0%	0%	0%	12

Compiler

Compiled 62 to 45 computations (27.4% saved)

sample6.8s (42.7%)

Results

5.4s	8256×	body	256	valid
1.4s	2035×	body	256	precondition

Bogosity

preprocess122.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

516×	`fma-neg_binary32`
426×	`fma-def_binary32`
343×	`distribute-rgt-neg-out_binary32`
335×	`distribute-lft-neg-out_binary32`
334×	`distribute-rgt-neg-in_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	259
1	186	217
2	459	217
3	953	182
4	1417	182
5	1655	182
6	1960	182
7	2759	182
8	4504	182
9	6267	182
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 normAngle) u)) (/.f32 1 (sin.f32 u))) n0_i) (.f32 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 1 (sin.f32 u))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) n0_i)) (/.f32 1 (sin.f32 n0_i))) normAngle) (.f32 (.f32 (sin.f32 (.f32 u n0_i)) (/.f32 1 (sin.f32 n0_i))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) n1_i)) (/.f32 1 (sin.f32 n1_i))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u n1_i)) (/.f32 1 (sin.f32 n1_i))) normAngle))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 n0_i) normAngle)) (/.f32 1 (sin.f32 normAngle))) u) (.f32 (.f32 (sin.f32 (.f32 n0_i normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 n1_i) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 n1_i normAngle)) (/.f32 1 (sin.f32 normAngle))) u))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i))

Outputs
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(fma.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i (.f32 (/.f32 (.f32 (sin.f32 (*.f32 u normAngle)) 1) (sin.f32 normAngle)) n1_i))
(fma.f32 (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)) n0_i (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 normAngle) u)) (/.f32 1 (sin.f32 u))) n0_i) (.f32 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 1 (sin.f32 u))) n1_i))
(fma.f32 (.f32 (sin.f32 (.f32 u (-.f32 1 normAngle))) (/.f32 1 (sin.f32 u))) n0_i (.f32 n1_i (/.f32 (.f32 (sin.f32 (*.f32 u normAngle)) 1) (sin.f32 u))))
(fma.f32 n0_i (/.f32 (sin.f32 (.f32 u (-.f32 1 normAngle))) (sin.f32 u)) (.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 u))))
(fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 u)) (.f32 (sin.f32 (*.f32 u (-.f32 1 normAngle))) (/.f32 n0_i (sin.f32 u))))
(/.f32 (fma.f32 n0_i (sin.f32 (-.f32 u (.f32 u normAngle))) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 u))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) n0_i)) (/.f32 1 (sin.f32 n0_i))) normAngle) (.f32 (.f32 (sin.f32 (.f32 u n0_i)) (/.f32 1 (sin.f32 n0_i))) n1_i))
(fma.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) n0_i)) (/.f32 1 (sin.f32 n0_i))) normAngle (.f32 (sin.f32 (.f32 u n0_i)) (*.f32 (/.f32 1 (sin.f32 n0_i)) n1_i)))
(fma.f32 normAngle (/.f32 (sin.f32 (.f32 (-.f32 1 u) n0_i)) (sin.f32 n0_i)) (.f32 n1_i (/.f32 (sin.f32 (*.f32 u n0_i)) (sin.f32 n0_i))))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 u n0_i)) (sin.f32 n0_i)) (.f32 (sin.f32 (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 n0_i))))
(/.f32 (fma.f32 normAngle (sin.f32 (-.f32 n0_i (.f32 u n0_i))) (.f32 n1_i (sin.f32 (*.f32 u n0_i)))) (sin.f32 n0_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) n1_i)) (/.f32 1 (sin.f32 n1_i))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u n1_i)) (/.f32 1 (sin.f32 n1_i))) normAngle))
(fma.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) n1_i)) (/.f32 1 (sin.f32 n1_i))) n0_i (.f32 normAngle (.f32 (/.f32 1 (sin.f32 n1_i)) (sin.f32 (*.f32 u n1_i)))))
(fma.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) n1_i)) (sin.f32 n1_i)) (/.f32 (.f32 (sin.f32 (*.f32 u n1_i)) normAngle) (sin.f32 n1_i)))
(fma.f32 normAngle (/.f32 (sin.f32 (.f32 u n1_i)) (sin.f32 n1_i)) (/.f32 (sin.f32 (.f32 (-.f32 1 u) n1_i)) (/.f32 (sin.f32 n1_i) n0_i)))
(/.f32 (fma.f32 normAngle (sin.f32 (.f32 u n1_i)) (.f32 n0_i (sin.f32 (-.f32 n1_i (*.f32 u n1_i))))) (sin.f32 n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 n0_i) normAngle)) (/.f32 1 (sin.f32 normAngle))) u) (.f32 (.f32 (sin.f32 (.f32 n0_i normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(fma.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 n0_i)))) u (.f32 (sin.f32 (.f32 normAngle n0_i)) (*.f32 (/.f32 1 (sin.f32 normAngle)) n1_i)))
(fma.f32 u (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 n0_i))) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle n0_i)) (sin.f32 normAngle))))
(/.f32 (fma.f32 u (sin.f32 (.f32 normAngle (-.f32 1 n0_i))) (.f32 n1_i (sin.f32 (*.f32 normAngle n0_i)))) (sin.f32 normAngle))
(/.f32 (fma.f32 u (sin.f32 (-.f32 normAngle (.f32 normAngle n0_i))) (.f32 n1_i (sin.f32 (*.f32 normAngle n0_i)))) (sin.f32 normAngle))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 n1_i) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 n1_i normAngle)) (/.f32 1 (sin.f32 normAngle))) u))
(fma.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 n1_i)))) n0_i (.f32 u (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle n1_i)))))
(fma.f32 u (/.f32 (sin.f32 (.f32 normAngle n1_i)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 n1_i))) n0_i) (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 1 n1_i))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 u (/.f32 (sin.f32 (*.f32 normAngle n1_i)) (sin.f32 normAngle))))
(/.f32 (fma.f32 u (sin.f32 (.f32 normAngle n1_i)) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 normAngle n1_i))))) (sin.f32 normAngle))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i))
(fma.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i (.f32 n0_i (/.f32 (.f32 (sin.f32 (*.f32 u normAngle)) 1) (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)) n1_i (.f32 n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (.f32 n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n1_i (.f32 n0_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify118.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1069×	`fma-neg_binary32`
738×	`div-sub_binary32`
717×	`fma-def_binary32`
594×	`times-frac_binary32`
274×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	38	31
2	88	31
3	177	26
4	266	26
5	317	26
6	387	26
7	491	26
8	753	26
9	889	26
10	1093	26
11	1790	26
12	4011	26
13	5871	26
14	6509	26
15	7205	26
16	7860	26

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))

Outputs
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(fma.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i (.f32 (sin.f32 (.f32 u normAngle)) (*.f32 (/.f32 1 (sin.f32 normAngle)) n1_i)))
(fma.f32 (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)) n0_i (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(fma.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) n1_i (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) n0_i)) (sin.f32 normAngle))
(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

eval2.0ms (0%)

Compiler: Compiled 46 to 25 computations (45.7% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

1.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.1b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
▶	1.2b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))

Status

Error

Program

▶

9.1b

(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

▶

1.2b

(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))

Compiler

Compiled 50 to 32 computations (36% saved)

localize127.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
✓	0.2b	(*.f32 (-.f32 1 u) normAngle)
✓	0.5b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
✓	1.6b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))

Compiler

Compiled 105 to 54 computations (48.6% saved)

series25.0ms (0.2%)

Counts

4 → 96

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	normAngle	@	inf	(*.f32 (-.f32 1 u) normAngle)
2.0ms	n0_i	@	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
1.0ms	u	@	0	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
1.0ms	u	@	0	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))
1.0ms	normAngle	@	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

819×	`log-prod_binary32`
625×	`prod-diff_binary32`
275×	`expm1-udef_binary32`
274×	`log1p-udef_binary32`
237×	`log-pow_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	312	49
2	4016	49

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

Inputs
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
(*.f32 (-.f32 1 u) normAngle)
(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))) (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u normAngle))) 2) (/.f32 (sin.f32 normAngle) (cbrt.f32 (sin.f32 (.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (sin.f32 (.f32 u normAngle))) (/.f32 (sin.f32 normAngle) (sqrt.f32 (sin.f32 (.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sin.f32 (.f32 u normAngle))) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (.f32 u normAngle)) 1) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (cbrt.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1 (sin.f32 (.f32 u normAngle))) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 u normAngle)) -1) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u normAngle)) 3) (pow.f32 (sin.f32 normAngle) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u normAngle)) 3) (pow.f32 (/.f32 1 (sin.f32 normAngle)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (/.f32 1 (sin.f32 normAngle)) 3) (pow.f32 (sin.f32 (.f32 u normAngle)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))) (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 2)) (/.f32 (sin.f32 normAngle) (cbrt.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (sin.f32 (.f32 normAngle (-.f32 1 u)))) (/.f32 (sin.f32 normAngle) (sqrt.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sin.f32 (.f32 normAngle (-.f32 1 u)))) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 1) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (cbrt.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1 (sin.f32 (.f32 normAngle (-.f32 1 u)))) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) -1) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 3) (pow.f32 (sin.f32 normAngle) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (/.f32 1 (sin.f32 normAngle)) 3) (pow.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 3) (pow.f32 (/.f32 1 (sin.f32 normAngle)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 normAngle (.f32 (neg.f32 u) normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 normAngle (.f32 normAngle (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 normAngle (-.f32 1 u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 normAngle) (-.f32 1 u))) (cbrt.f32 (pow.f32 (exp.f32 normAngle) (-.f32 1 u))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 normAngle) (-.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 normAngle) (-.f32 1 u)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 normAngle) (-.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 normAngle (-.f32 1 u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 1 (pow.f32 u 3)) normAngle) (fma.f32 u (+.f32 u 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 1 (.f32 u u)) normAngle) (+.f32 u 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 normAngle (-.f32 1 (pow.f32 u 3))) (fma.f32 u (+.f32 u 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 normAngle (-.f32 1 (.f32 u u))) (+.f32 u 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 normAngle (-.f32 1 u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 normAngle (-.f32 1 u)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 normAngle (-.f32 1 u))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 normAngle (-.f32 1 u))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 normAngle (-.f32 1 u)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 normAngle) (-.f32 1 u)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 normAngle (-.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 normAngle (-.f32 1 u)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 normAngle 3) (pow.f32 (-.f32 1 u) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 normAngle (-.f32 1 u))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 normAngle (-.f32 1 u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 normAngle (-.f32 1 u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 normAngle (-.f32 1 u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 normAngle 1 (.f32 (neg.f32 u) normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 normAngle 1 (.f32 normAngle (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 normAngle (.f32 (neg.f32 u) normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 normAngle (.f32 normAngle (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 normAngle) (pow.f32 (cbrt.f32 normAngle) 2) (.f32 (neg.f32 u) normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 normAngle) (pow.f32 (cbrt.f32 normAngle) 2) (.f32 normAngle (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 normAngle) 2) (cbrt.f32 normAngle) (.f32 (neg.f32 u) normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 normAngle) 2) (cbrt.f32 normAngle) (.f32 normAngle (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 normAngle) (sqrt.f32 normAngle) (.f32 (neg.f32 u) normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 normAngle) (sqrt.f32 normAngle) (*.f32 normAngle (neg.f32 u)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 normAngle (-.f32 1 u)))) (/.f32 n0_i (sin.f32 normAngle)))) (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 normAngle (-.f32 1 u)))) (/.f32 n0_i (sin.f32 normAngle)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 normAngle (-.f32 1 u)))) (/.f32 n0_i (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 normAngle (-.f32 1 u)))) (/.f32 n0_i (sin.f32 normAngle))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 normAngle (-.f32 1 u)))) (/.f32 n0_i (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 normAngle (-.f32 1 u)))) (/.f32 n0_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) 3) (pow.f32 n0_i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 n0_i 3) (pow.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))) 1))))))

simplify124.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-def_binary32`
729×	`fma-neg_binary32`
362×	`*-commutative_binary32`
340×	`associate-+l+_binary32`
334×	`sub-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	2110
1	514	2027
2	1745	1993
3	6586	1979

Stop Event

1×	node limit

Counts

208 → 167

Calls

Call 1

Inputs
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))) (+.f32 (.f32 1/120 (/.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))) (+.f32 (.f32 -1/5040 (/.f32 (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)) (sin.f32 normAngle))) (+.f32 (.f32 1/120 (/.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
u
(+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u)
(+.f32 (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u))
(+.f32 (.f32 (-.f32 (.f32 -1/5040 (pow.f32 u 7)) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))) (+.f32 (.f32 -1/5040 u) (.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))))))) (pow.f32 normAngle 6)) (+.f32 (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
1
(+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 1 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))) (.f32 -1/2 (*.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))))
(+.f32 1 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))) (+.f32 (.f32 1/6 (/.f32 (.f32 (cos.f32 normAngle) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2))))))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle)) (sin.f32 normAngle))
(-.f32 1 u)
(-.f32 (+.f32 1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (*.f32 -1/6 (-.f32 1 u))) (pow.f32 normAngle 2))) u)
(-.f32 (+.f32 1 (+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u))) (pow.f32 normAngle 2)) (.f32 (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u)))) (*.f32 1/120 (-.f32 1 u)))) (pow.f32 normAngle 4)))) u)
(-.f32 (+.f32 1 (+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 -1/5040 (pow.f32 (-.f32 1 u) 7)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u)))) (.f32 1/120 (-.f32 1 u))))) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u)))) (.f32 -1/5040 (-.f32 1 u))))) (pow.f32 normAngle 6)) (.f32 (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u)))) (*.f32 1/120 (-.f32 1 u)))) (pow.f32 normAngle 4))))) u)
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
normAngle
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(.f32 -1 (.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(.f32 -1 (.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
n0_i
(+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (*.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(+.f32 (.f32 1/6 (/.f32 (.f32 (cos.f32 normAngle) (.f32 (pow.f32 u 3) (.f32 n0_i (pow.f32 normAngle 3)))) (sin.f32 normAngle))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (*.f32 n0_i normAngle))) (sin.f32 normAngle))))))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4)) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) n0_i)) (+.f32 (.f32 -1/5040 (.f32 (-.f32 1 u) n0_i)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))))))) (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 6)))))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))

Outputs
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(fma.f32 -1/6 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) (/.f32 u (/.f32 (sin.f32 normAngle) normAngle)))
(fma.f32 -1/6 (*.f32 (/.f32 (pow.f32 u 3) (sin.f32 normAngle)) (pow.f32 normAngle 3)) (/.f32 u (/.f32 (sin.f32 normAngle) normAngle)))
(fma.f32 -1/6 (.f32 (pow.f32 normAngle 3) (/.f32 (pow.f32 u 3) (sin.f32 normAngle))) (.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))) (+.f32 (.f32 1/120 (/.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(fma.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) (fma.f32 1/120 (/.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (sin.f32 normAngle)) (/.f32 u (/.f32 (sin.f32 normAngle) normAngle))))
(fma.f32 -1/6 (.f32 (/.f32 (pow.f32 u 3) (sin.f32 normAngle)) (pow.f32 normAngle 3)) (fma.f32 1/120 (.f32 (/.f32 (pow.f32 u 5) (sin.f32 normAngle)) (pow.f32 normAngle 5)) (/.f32 u (/.f32 (sin.f32 normAngle) normAngle))))
(fma.f32 -1/6 (.f32 (pow.f32 normAngle 3) (/.f32 (pow.f32 u 3) (sin.f32 normAngle))) (fma.f32 1/120 (.f32 (pow.f32 normAngle 5) (/.f32 (pow.f32 u 5) (sin.f32 normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))) (+.f32 (.f32 -1/5040 (/.f32 (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)) (sin.f32 normAngle))) (+.f32 (.f32 1/120 (/.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))))
(fma.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) (fma.f32 -1/5040 (/.f32 (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)) (sin.f32 normAngle)) (fma.f32 1/120 (/.f32 (*.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (sin.f32 normAngle)) (/.f32 u (/.f32 (sin.f32 normAngle) normAngle)))))
(fma.f32 -1/6 (.f32 (/.f32 (pow.f32 u 3) (sin.f32 normAngle)) (pow.f32 normAngle 3)) (fma.f32 -1/5040 (.f32 (/.f32 (pow.f32 u 7) (sin.f32 normAngle)) (pow.f32 normAngle 7)) (fma.f32 1/120 (*.f32 (/.f32 (pow.f32 u 5) (sin.f32 normAngle)) (pow.f32 normAngle 5)) (/.f32 u (/.f32 (sin.f32 normAngle) normAngle)))))
(fma.f32 -1/6 (.f32 (pow.f32 normAngle 3) (/.f32 (pow.f32 u 3) (sin.f32 normAngle))) (fma.f32 1/120 (.f32 (pow.f32 normAngle 5) (/.f32 (pow.f32 u 5) (sin.f32 normAngle))) (fma.f32 (/.f32 u (sin.f32 normAngle)) normAngle (.f32 (/.f32 -1/5040 (sin.f32 normAngle)) (.f32 (pow.f32 u 7) (pow.f32 normAngle 7))))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
u
(+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u)
(fma.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (.f32 normAngle normAngle) u)
(fma.f32 normAngle (.f32 normAngle (.f32 -1/6 (-.f32 (pow.f32 u 3) u))) u)
(+.f32 (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u))
(fma.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (fma.f32 1/120 u (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))) (pow.f32 normAngle 4) (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (*.f32 normAngle normAngle) u))
(fma.f32 (-.f32 (.f32 1/120 (-.f32 (pow.f32 u 5) u)) (.f32 1/36 (-.f32 (pow.f32 u 3) u))) (pow.f32 normAngle 4) (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (.f32 normAngle normAngle) u))
(fma.f32 normAngle (.f32 normAngle (.f32 -1/6 (-.f32 (pow.f32 u 3) u))) (fma.f32 (fma.f32 1/120 (-.f32 (pow.f32 u 5) u) (*.f32 -1/36 (-.f32 (pow.f32 u 3) u))) (pow.f32 normAngle 4) u))
(+.f32 (.f32 (-.f32 (.f32 -1/5040 (pow.f32 u 7)) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))) (+.f32 (.f32 -1/5040 u) (.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))))))) (pow.f32 normAngle 6)) (+.f32 (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u)))
(fma.f32 (-.f32 (.f32 -1/5040 (pow.f32 u 7)) (fma.f32 1/120 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (fma.f32 -1/5040 u (.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 u 5)) (fma.f32 1/120 u (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))))))) (pow.f32 normAngle 6) (fma.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (fma.f32 1/120 u (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))) (pow.f32 normAngle 4) (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (*.f32 normAngle normAngle) u)))
(fma.f32 (-.f32 (-.f32 (.f32 -1/5040 (pow.f32 u 7)) (.f32 -1/720 (-.f32 (pow.f32 u 3) u))) (fma.f32 u -1/5040 (.f32 -1/6 (-.f32 (.f32 1/120 (-.f32 (pow.f32 u 5) u)) (.f32 1/36 (-.f32 (pow.f32 u 3) u)))))) (pow.f32 normAngle 6) (fma.f32 (-.f32 (.f32 1/120 (-.f32 (pow.f32 u 5) u)) (.f32 1/36 (-.f32 (pow.f32 u 3) u))) (pow.f32 normAngle 4) (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (*.f32 normAngle normAngle) u)))
(fma.f32 (-.f32 (.f32 -1/5040 (pow.f32 u 7)) (fma.f32 u -1/5040 (fma.f32 -1/6 (fma.f32 1/120 (-.f32 (pow.f32 u 5) u) (.f32 -1/36 (-.f32 (pow.f32 u 3) u))) (.f32 (-.f32 (pow.f32 u 3) u) -1/720)))) (pow.f32 normAngle 6) (fma.f32 normAngle (.f32 normAngle (.f32 -1/6 (-.f32 (pow.f32 u 3) u))) (fma.f32 (fma.f32 1/120 (-.f32 (pow.f32 u 5) u) (.f32 -1/36 (-.f32 (pow.f32 u 3) u))) (pow.f32 normAngle 4) u)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
1
(+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 1 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))))
(-.f32 1 (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 u normAngle)))
(-.f32 1 (.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(+.f32 1 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))) (.f32 -1/2 (*.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))))
(+.f32 1 (fma.f32 -1 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u normAngle))) (.f32 -1/2 (.f32 (.f32 normAngle normAngle) (*.f32 u u)))))
(+.f32 (-.f32 1 (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 u normAngle))) (.f32 -1/2 (.f32 u (.f32 u (.f32 normAngle normAngle)))))
(-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (.f32 u -1/2)) 1) (.f32 (*.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(-.f32 (.f32 normAngle (.f32 normAngle (.f32 u (.f32 u -1/2)))) (fma.f32 (*.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) -1))
(+.f32 1 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))) (+.f32 (.f32 1/6 (/.f32 (.f32 (cos.f32 normAngle) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2))))))
(+.f32 1 (fma.f32 -1 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u normAngle))) (fma.f32 1/6 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (.f32 -1/2 (.f32 (.f32 normAngle normAngle) (.f32 u u))))))
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normAngle
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n0_i
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(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i))
(fma.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (.f32 (-.f32 1 u) n0_i))) (.f32 normAngle normAngle) (*.f32 (-.f32 1 u) n0_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 -1/6 (.f32 n0_i (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u))) (.f32 (-.f32 1 u) n0_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 -1/6 (.f32 n0_i (+.f32 u (+.f32 (pow.f32 (-.f32 1 u) 3) -1)))) (.f32 (-.f32 1 u) n0_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 -1/6 (pow.f32 (-.f32 1 u) 3) (fma.f32 u -1/6 1/6)) n0_i) (-.f32 n0_i (*.f32 u n0_i)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4)) (.f32 (-.f32 1 u) n0_i)))
(fma.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (.f32 (-.f32 1 u) n0_i))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (fma.f32 1/120 (.f32 (-.f32 1 u) n0_i) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4) (.f32 (-.f32 1 u) n0_i)))
(fma.f32 (.f32 normAngle normAngle) (.f32 -1/6 (.f32 n0_i (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u))) (fma.f32 (pow.f32 normAngle 4) (-.f32 (.f32 1/120 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i) (.f32 (-.f32 1 u) n0_i))) (.f32 1/36 (.f32 n0_i (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u)))) (*.f32 (-.f32 1 u) n0_i)))
(fma.f32 normAngle (.f32 normAngle (.f32 -1/6 (.f32 n0_i (+.f32 u (+.f32 (pow.f32 (-.f32 1 u) 3) -1))))) (fma.f32 (pow.f32 normAngle 4) (fma.f32 1/120 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 5) (-.f32 1 u))) (.f32 -1/36 (.f32 n0_i (+.f32 u (+.f32 (pow.f32 (-.f32 1 u) 3) -1))))) (*.f32 (-.f32 1 u) n0_i)))
(fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 -1/6 (pow.f32 (-.f32 1 u) 3) (fma.f32 u -1/6 1/6)) n0_i)) (fma.f32 (pow.f32 normAngle 4) (fma.f32 1/120 (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 5) (+.f32 u -1))) (.f32 -1/36 (.f32 n0_i (+.f32 u (+.f32 (pow.f32 (-.f32 1 u) 3) -1))))) (-.f32 n0_i (.f32 u n0_i))))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) n0_i)) (+.f32 (.f32 -1/5040 (.f32 (-.f32 1 u) n0_i)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))))))) (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 6)))))
(fma.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (.f32 (-.f32 1 u) n0_i))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (fma.f32 1/120 (.f32 (-.f32 1 u) n0_i) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4) (fma.f32 (-.f32 1 u) n0_i (.f32 (pow.f32 normAngle 6) (-.f32 (.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) n0_i)) (fma.f32 -1/5040 (.f32 (-.f32 1 u) n0_i) (fma.f32 -1/6 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (fma.f32 1/120 (.f32 (-.f32 1 u) n0_i) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (.f32 (-.f32 1 u) n0_i)))))) (.f32 1/120 (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (.f32 (-.f32 1 u) n0_i)))))))))))
(fma.f32 (.f32 normAngle normAngle) (.f32 -1/6 (.f32 n0_i (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u))) (fma.f32 (pow.f32 normAngle 4) (-.f32 (.f32 1/120 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i) (.f32 (-.f32 1 u) n0_i))) (.f32 1/36 (.f32 n0_i (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u)))) (fma.f32 (pow.f32 normAngle 6) (-.f32 (.f32 -1/5040 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 7) n0_i) (.f32 (-.f32 1 u) n0_i))) (fma.f32 -1/6 (-.f32 (.f32 1/120 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i) (.f32 (-.f32 1 u) n0_i))) (.f32 1/36 (.f32 n0_i (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u)))) (.f32 -1/720 (.f32 n0_i (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u))))) (*.f32 (-.f32 1 u) n0_i))))
(fma.f32 (pow.f32 normAngle 4) (fma.f32 1/120 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 5) (-.f32 1 u))) (.f32 -1/36 (.f32 n0_i (+.f32 u (+.f32 (pow.f32 (-.f32 1 u) 3) -1))))) (fma.f32 normAngle (.f32 normAngle (.f32 -1/6 (.f32 n0_i (+.f32 u (+.f32 (pow.f32 (-.f32 1 u) 3) -1))))) (fma.f32 (pow.f32 normAngle 6) (+.f32 (fma.f32 -1/5040 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 7) (-.f32 1 u))) (.f32 1/720 (.f32 n0_i (+.f32 u (+.f32 (pow.f32 (-.f32 1 u) 3) -1))))) (.f32 1/6 (fma.f32 1/120 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 5) (-.f32 1 u))) (.f32 -1/36 (.f32 n0_i (+.f32 u (+.f32 (pow.f32 (-.f32 1 u) 3) -1))))))) (.f32 (-.f32 1 u) n0_i))))
(fma.f32 (pow.f32 normAngle 4) (fma.f32 1/120 (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 5) (+.f32 u -1))) (.f32 -1/36 (.f32 n0_i (+.f32 u (+.f32 (pow.f32 (-.f32 1 u) 3) -1))))) (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 -1/6 (pow.f32 (-.f32 1 u) 3) (fma.f32 u -1/6 1/6)) n0_i)) (fma.f32 (pow.f32 normAngle 6) (+.f32 (fma.f32 -1/5040 (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 7) (+.f32 u -1))) (.f32 1/720 (.f32 n0_i (+.f32 u (+.f32 (pow.f32 (-.f32 1 u) 3) -1))))) (.f32 1/6 (fma.f32 1/120 (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 5) (+.f32 u -1))) (.f32 -1/36 (.f32 n0_i (+.f32 u (+.f32 (pow.f32 (-.f32 1 u) 3) -1))))))) (-.f32 n0_i (*.f32 u n0_i)))))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (sin.f32 normAngle)) n0_i)
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f32 normAngle (*.f32 u normAngle))
✓	0.1b	(fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
✓	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
✓	9.1b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

Compiler

Compiled 65 to 12 computations (81.5% saved)

series28.0ms (0.2%)

Counts

4 → 128

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	u	@	0	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
3.0ms	normAngle	@	0	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
1.0ms	n0_i	@	0	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
1.0ms	normAngle	@	-inf	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
1.0ms	n1_i	@	0	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`log-prod_binary32`
395×	`pow2_binary32`
340×	`fma-def_binary32`
275×	`pow1/3_binary32`
270×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	280	63
2	3879	63

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

Inputs
(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(-.f32 normAngle (*.f32 u normAngle))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)) (.f32 (cbrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) 2) (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (.f32 (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (/.f32 1 (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sin.f32 normAngle)) (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)) 1) (/.f32 (cbrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 1) (/.f32 (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sqrt.f32 (sin.f32 normAngle))) (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 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(expm1.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 3) (pow.f32 (sin.f32 normAngle) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 normAngle u))) n1_i)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 normAngle u))) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 normAngle u))) n1_i))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 normAngle u))) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 normAngle u)) 3) (pow.f32 n1_i 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 n1_i 3) (pow.f32 (sin.f32 (.f32 normAngle u)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 normAngle u))) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 normAngle u)) 3) (pow.f32 n1_i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 n1_i 3) (pow.f32 (sin.f32 (.f32 normAngle u)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) 1) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))) (log.f32 (sqrt.f32 (exp.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)) (cbrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) 3) (pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 3)) (+.f32 (pow.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) 2) (-.f32 (pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 2) (.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 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(#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (sqrt.f32 normAngle) (sqrt.f32 (.f32 normAngle u))) (-.f32 (sqrt.f32 normAngle) (sqrt.f32 (.f32 normAngle u))) (fma.f32 (neg.f32 u) normAngle (.f32 normAngle u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (sqrt.f32 normAngle) (sqrt.f32 (.f32 normAngle u))) (-.f32 (sqrt.f32 normAngle) (sqrt.f32 (.f32 normAngle u))) (fma.f32 (.f32 normAngle (neg.f32 u)) 1 (.f32 normAngle u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (sqrt.f32 normAngle) (sqrt.f32 (.f32 normAngle u))) (-.f32 (sqrt.f32 normAngle) (sqrt.f32 (.f32 normAngle u))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 normAngle u))) (pow.f32 (cbrt.f32 (.f32 normAngle u)) 2) (.f32 normAngle u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (.f32 normAngle u)) 2)) (cbrt.f32 (.f32 normAngle u)) normAngle)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (fma.f32 -1 u 1) normAngle (fma.f32 (neg.f32 u) normAngle (.f32 normAngle u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (fma.f32 -1 u 1) normAngle (fma.f32 (.f32 normAngle (neg.f32 u)) 1 (.f32 normAngle u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (fma.f32 -1 u 1) normAngle (fma.f32 (neg.f32 (cbrt.f32 (.f32 normAngle u))) (pow.f32 (cbrt.f32 (.f32 normAngle u)) 2) (.f32 normAngle u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (neg.f32 u) 1) normAngle normAngle)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (neg.f32 u) (pow.f32 (cbrt.f32 normAngle) 2)) (cbrt.f32 normAngle) normAngle)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (neg.f32 u) (sqrt.f32 normAngle)) (sqrt.f32 normAngle) normAngle)))))

simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

652×	`cancel-sign-sub-inv_binary32`
594×	`fma-neg_binary32`
515×	`associate-+l+_binary32`
472×	`associate-+r+_binary32`
453×	`unsub-neg_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	3226
1	513	3153
2	1837	3122
3	6190	3122

Stop Event

1×	node limit

Counts

325 → 257

Calls

Call 1

Inputs
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (+.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) n0_i))) (+.f32 (.f32 1/120 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))) (+.f32 (.f32 -1/6 (-.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))))) (.f32 -1/5040 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 6))))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle)))) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle)))) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle)))) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle)))) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
n0_i
(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle))))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle)))))))
(+.f32 (.f32 (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (pow.f32 normAngle 3)) (sin.f32 normAngle))) (.f32 1/6 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (pow.f32 normAngle 3))) (sin.f32 normAngle)))) (pow.f32 u 3)) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(.f32 n1_i (.f32 u normAngle))
(+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (.f32 n1_i (*.f32 u normAngle)))
(+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (+.f32 (.f32 1/120 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))) (.f32 n1_i (.f32 u normAngle))))
(+.f32 (.f32 -1/5040 (.f32 n1_i (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)))) (+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (+.f32 (.f32 1/120 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))) (.f32 n1_i (*.f32 u normAngle)))))
(.f32 n1_i (.f32 u normAngle))
(+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (.f32 n1_i (*.f32 u normAngle)))
(+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (+.f32 (.f32 1/120 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))) (.f32 n1_i (.f32 u normAngle))))
(+.f32 (.f32 -1/5040 (.f32 n1_i (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)))) (+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (+.f32 (.f32 1/120 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))) (.f32 n1_i (*.f32 u normAngle)))))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle)
(+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle) (.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (pow.f32 normAngle 3)))
(+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle) (+.f32 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i))) (pow.f32 normAngle 5)) (.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (*.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (pow.f32 normAngle 3))))
(+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle) (+.f32 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i))) (pow.f32 normAngle 5)) (+.f32 (.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (pow.f32 normAngle 3)) (.f32 (+.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) n0_i))) (pow.f32 normAngle 7)))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle))))) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle))))) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle))))) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle))))) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
(*.f32 (sin.f32 normAngle) n0_i)
(+.f32 (.f32 (sin.f32 normAngle) n0_i) (.f32 u (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle))))
(+.f32 (.f32 (sin.f32 normAngle) n0_i) (+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 (pow.f32 u 2) (pow.f32 normAngle 2))))) (.f32 u (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle)))))
(+.f32 (.f32 (sin.f32 normAngle) n0_i) (+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 (pow.f32 u 2) (pow.f32 normAngle 2))))) (+.f32 (.f32 u (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle))) (.f32 (+.f32 (.f32 1/6 (.f32 (cos.f32 normAngle) (.f32 n0_i (pow.f32 normAngle 3)))) (.f32 -1/6 (.f32 n1_i (pow.f32 normAngle 3)))) (pow.f32 u 3)))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(.f32 (+.f32 1 (.f32 -1 u)) normAngle)
(.f32 (+.f32 1 (.f32 -1 u)) normAngle)
(.f32 (+.f32 1 (.f32 -1 u)) normAngle)
(.f32 (+.f32 1 (.f32 -1 u)) normAngle)
normAngle
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(.f32 -1 (.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(.f32 -1 (.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)

Outputs
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))
(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(fma.f32 (+.f32 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))) (.f32 1/6 (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))) (.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)))
(fma.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))) (.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)))
(fma.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))))) (.f32 normAngle normAngle) (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i))))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))
(fma.f32 (+.f32 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))) (.f32 1/6 (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 1/120 (+.f32 (.f32 n1_i (pow.f32 u 5)) (.f32 n0_i (pow.f32 (-.f32 1 u) 5)))) (fma.f32 1/120 (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (+.f32 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))) (.f32 1/6 (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4) (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))))
(fma.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))) (.f32 normAngle normAngle) (fma.f32 (+.f32 (.f32 1/120 (-.f32 (fma.f32 n1_i (pow.f32 u 5) (.f32 n0_i (pow.f32 (-.f32 1 u) 5))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))) (.f32 1/6 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i))))
(fma.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))) (.f32 normAngle normAngle) (fma.f32 (fma.f32 1/120 (-.f32 (fma.f32 n1_i (pow.f32 u 5) (.f32 n0_i (pow.f32 (-.f32 1 u) 5))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (.f32 1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4) (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))))
(fma.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))))) (.f32 normAngle normAngle) (fma.f32 (fma.f32 1/120 (-.f32 (fma.f32 n1_i (pow.f32 u 5) (.f32 n0_i (pow.f32 (-.f32 1 u) 5))) (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i)))) (.f32 -1/6 (.f32 1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))))))) (pow.f32 normAngle 4) (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (+.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) n0_i))) (+.f32 (.f32 1/120 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))) (+.f32 (.f32 -1/6 (-.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))))) (.f32 -1/5040 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 6))))))
(fma.f32 (+.f32 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))) (.f32 1/6 (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 1/120 (+.f32 (.f32 n1_i (pow.f32 u 5)) (.f32 n0_i (pow.f32 (-.f32 1 u) 5)))) (fma.f32 1/120 (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (+.f32 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))) (.f32 1/6 (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4) (fma.f32 n1_i u (fma.f32 (-.f32 1 u) n0_i (.f32 (-.f32 (.f32 -1/5040 (+.f32 (.f32 n1_i (pow.f32 u 7)) (.f32 n0_i (pow.f32 (-.f32 1 u) 7)))) (fma.f32 1/120 (+.f32 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))) (.f32 1/6 (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))) (fma.f32 -1/6 (-.f32 (.f32 1/120 (+.f32 (.f32 n1_i (pow.f32 u 5)) (.f32 n0_i (pow.f32 (-.f32 1 u) 5)))) (fma.f32 1/120 (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (+.f32 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))) (.f32 1/6 (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i))))))) (.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) -1/5040)))) (pow.f32 normAngle 6))))))
(fma.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))) (.f32 normAngle normAngle) (fma.f32 (+.f32 (.f32 1/120 (-.f32 (fma.f32 n1_i (pow.f32 u 5) (.f32 n0_i (pow.f32 (-.f32 1 u) 5))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))) (.f32 1/6 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4) (fma.f32 n1_i u (fma.f32 (-.f32 (.f32 -1/5040 (fma.f32 n1_i (pow.f32 u 7) (.f32 n0_i (pow.f32 (-.f32 1 u) 7)))) (fma.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))) 1/120 (fma.f32 (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)) -1/5040 (.f32 -1/6 (+.f32 (.f32 1/120 (-.f32 (fma.f32 n1_i (pow.f32 u 5) (.f32 n0_i (pow.f32 (-.f32 1 u) 5))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))) (.f32 1/6 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))))))))) (pow.f32 normAngle 6) (.f32 (-.f32 1 u) n0_i)))))
(fma.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))) (.f32 normAngle normAngle) (fma.f32 (fma.f32 1/120 (-.f32 (fma.f32 n1_i (pow.f32 u 5) (.f32 n0_i (pow.f32 (-.f32 1 u) 5))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (.f32 1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4) (fma.f32 n1_i u (fma.f32 (-.f32 (fma.f32 -1/5040 (fma.f32 n1_i (pow.f32 u 7) (.f32 n0_i (pow.f32 (-.f32 1 u) 7))) (.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)))) -1/120)) (fma.f32 (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)) -1/5040 (.f32 -1/6 (fma.f32 1/120 (-.f32 (fma.f32 n1_i (pow.f32 u 5) (.f32 n0_i (pow.f32 (-.f32 1 u) 5))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (.f32 1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i))))))))) (pow.f32 normAngle 6) (.f32 (-.f32 1 u) n0_i)))))
(fma.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))))) (.f32 normAngle normAngle) (fma.f32 (fma.f32 1/120 (-.f32 (fma.f32 n1_i (pow.f32 u 5) (.f32 n0_i (pow.f32 (-.f32 1 u) 5))) (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i)))) (.f32 -1/6 (.f32 1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))))))) (pow.f32 normAngle 4) (fma.f32 n1_i u (fma.f32 (-.f32 (fma.f32 -1/5040 (fma.f32 n1_i (pow.f32 u 7) (.f32 n0_i (pow.f32 (-.f32 1 u) 7))) (.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))))) -1/120)) (fma.f32 (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))) -1/5040 (.f32 -1/6 (fma.f32 1/120 (-.f32 (fma.f32 n1_i (pow.f32 u 5) (.f32 n0_i (pow.f32 (-.f32 1 u) 5))) (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i)))) (.f32 -1/6 (.f32 1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i)))))))))) (pow.f32 normAngle 6) (-.f32 n0_i (.f32 u n0_i))))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
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(+.f32 (.f32 u (.f32 normAngle (-.f32 n1_i (.f32 n0_i (cos.f32 normAngle))))) (.f32 (sin.f32 normAngle) (fma.f32 -1/2 (.f32 u (.f32 u (.f32 n0_i (.f32 normAngle normAngle)))) n0_i)))
(+.f32 (.f32 (sin.f32 normAngle) n0_i) (+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 (pow.f32 u 2) (pow.f32 normAngle 2))))) (+.f32 (.f32 u (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle))) (.f32 (+.f32 (.f32 1/6 (.f32 (cos.f32 normAngle) (.f32 n0_i (pow.f32 normAngle 3)))) (.f32 -1/6 (.f32 n1_i (pow.f32 normAngle 3)))) (pow.f32 u 3)))))
(fma.f32 (sin.f32 normAngle) n0_i (fma.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 (.f32 normAngle normAngle) (.f32 u u)))) (fma.f32 u (fma.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (.f32 n1_i normAngle)) (.f32 (pow.f32 u 3) (fma.f32 1/6 (.f32 (cos.f32 normAngle) (.f32 n0_i (pow.f32 normAngle 3))) (.f32 (*.f32 -1/6 n1_i) (pow.f32 normAngle 3)))))))
(fma.f32 n0_i (sin.f32 normAngle) (fma.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 (.f32 normAngle normAngle) (.f32 u u)))) (fma.f32 u (-.f32 (.f32 n1_i normAngle) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (.f32 (pow.f32 u 3) (fma.f32 -1/6 (.f32 n1_i (pow.f32 normAngle 3)) (.f32 (.f32 n0_i (pow.f32 normAngle 3)) (*.f32 (cos.f32 normAngle) 1/6)))))))
(+.f32 (fma.f32 u (.f32 normAngle (-.f32 n1_i (.f32 n0_i (cos.f32 normAngle)))) (.f32 (pow.f32 u 3) (.f32 (pow.f32 normAngle 3) (+.f32 (.f32 1/6 (.f32 n0_i (cos.f32 normAngle))) (.f32 n1_i -1/6))))) (.f32 (sin.f32 normAngle) (fma.f32 -1/2 (.f32 u (.f32 u (.f32 n0_i (.f32 normAngle normAngle)))) n0_i)))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
(fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(.f32 (+.f32 1 (.f32 -1 u)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(.f32 (+.f32 1 (.f32 -1 u)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(.f32 (+.f32 1 (.f32 -1 u)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(.f32 (+.f32 1 (.f32 -1 u)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
normAngle
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(.f32 -1 (.f32 u normAngle))
(neg.f32 (*.f32 u normAngle))
(*.f32 u (neg.f32 normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(.f32 -1 (.f32 u normAngle))
(neg.f32 (*.f32 u normAngle))
(*.f32 u (neg.f32 normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)

eval198.0ms (1.2%)

Compiler: Compiled 12791 to 5266 computations (58.8% saved)

prune229.0ms (1.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	408	16	424
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	410	16	426

Error

0.0b

Counts

426 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	2.1b	(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) (.f32 (.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) n0_i)
▶	0.5b	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
	9.1b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 u (*.f32 n1_i normAngle))) (sin.f32 normAngle))
	9.1b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	9.3b	(/.f32 (+.f32 (.f32 (sin.f32 normAngle) n0_i) (.f32 u (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle)))) (sin.f32 normAngle))
	9.8b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	18.0b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
	1.2b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	1.1b	(+.f32 (.f32 (/.f32 1 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u))))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	1.4b	(+.f32 (.f32 (.f32 (sin.f32 (fma.f32 (pow.f32 (cbrt.f32 normAngle) 2) (cbrt.f32 normAngle) (.f32 (neg.f32 u) normAngle))) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	0.7b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
▶	0.6b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
▶	6.1b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
▶	4.4b	(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle))))))
▶	13.9b	(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
	16.7b	n0_i

Compiler

Compiled 631 to 408 computations (35.3% saved)

localize53.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f32 n0_i (*.f32 u n0_i))
✓	0.1b	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series12.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	u	@	-inf	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
1.0ms	n1_i	@	0	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
1.0ms	u	@	inf	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
1.0ms	u	@	0	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
1.0ms	n1_i	@	inf	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))

rewrite107.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

859×	`pow1_binary32`
795×	`add-log-exp_binary32`
795×	`log1p-expm1-u_binary32`
795×	`expm1-log1p-u_binary32`
777×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	153	18
2	2147	18

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs
(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
(-.f32 n0_i (*.f32 u n0_i))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 n0_i (*.f32 u n0_i)) (*.f32 n1_i u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 n1_i u) (-.f32 n0_i (*.f32 u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 n1_i u) 1) (-.f32 n0_i (*.f32 u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 n1_i u) n0_i) (*.f32 u (neg.f32 n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 n1_i u) n0_i) (*.f32 u n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))) (pow.f32 (cbrt.f32 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))) 2) (cbrt.f32 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))) (sqrt.f32 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 n1_i u) 3) (pow.f32 (-.f32 n0_i (*.f32 u n0_i)) 3)) (+.f32 (*.f32 (*.f32 n1_i u) (*.f32 n1_i u)) (-.f32 (pow.f32 (-.f32 n0_i (*.f32 u n0_i)) 2) (*.f32 (*.f32 n1_i u) (-.f32 n0_i (*.f32 u n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 n1_i u) (*.f32 n1_i u)) (pow.f32 (-.f32 n0_i (*.f32 u n0_i)) 2)) (-.f32 (*.f32 n1_i u) (-.f32 n0_i (*.f32 u n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 n0_i (*.f32 u (neg.f32 n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 n0_i (*.f32 (*.f32 u (neg.f32 n0_i)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 n0_i (*.f32 u n0_i)) (fma.f32 (neg.f32 n0_i) u (*.f32 u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 n0_i (*.f32 u n0_i)) (fma.f32 (neg.f32 u) n0_i (*.f32 u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 n0_i (*.f32 u n0_i)) (fma.f32 (*.f32 u (neg.f32 n0_i)) 1 (*.f32 u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 n0_i (*.f32 u n0_i)) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 u n0_i))) (pow.f32 (cbrt.f32 (*.f32 u n0_i)) 2) (*.f32 u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 n0_i (*.f32 u n0_i)) (fma.f32 (neg.f32 (sqrt.f32 (*.f32 u n0_i))) (sqrt.f32 (*.f32 u n0_i)) (*.f32 u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u (neg.f32 n0_i)) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 n0_i (-.f32 1 u))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 n0_i (+.f32 1 (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 n0_i (*.f32 u n0_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 n0_i (*.f32 u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (-.f32 n0_i (*.f32 u n0_i))) (pow.f32 (cbrt.f32 (-.f32 n0_i (*.f32 u n0_i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (-.f32 n0_i (*.f32 u n0_i))) 2) (cbrt.f32 (-.f32 n0_i (*.f32 u n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (-.f32 n0_i (*.f32 u n0_i))) (sqrt.f32 (-.f32 n0_i (*.f32 u n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (pow.f32 n0_i 3) (pow.f32 (*.f32 u n0_i) 3)) (/.f32 1 (fma.f32 n0_i n0_i (*.f32 (*.f32 u n0_i) (+.f32 n0_i (*.f32 u n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 u n0_i) 2)) (/.f32 1 (+.f32 n0_i (*.f32 u n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (sqrt.f32 n0_i) (sqrt.f32 (*.f32 u n0_i))) (-.f32 (sqrt.f32 n0_i) (sqrt.f32 (*.f32 u n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (neg.f32 u) 1) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 u n0_i) (+.f32 n0_i (*.f32 u n0_i)))) (-.f32 (pow.f32 n0_i 3) (pow.f32 (*.f32 u n0_i) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 n0_i (*.f32 u n0_i)) (-.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 u n0_i) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 n0_i 3) (pow.f32 (*.f32 u n0_i) 3)) (fma.f32 n0_i n0_i (*.f32 (*.f32 u n0_i) (+.f32 n0_i (*.f32 u n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 u n0_i) 2)) (+.f32 n0_i (*.f32 u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 n0_i 3) (pow.f32 (*.f32 u n0_i) 3))) (neg.f32 (fma.f32 n0_i n0_i (*.f32 (*.f32 u n0_i) (+.f32 n0_i (*.f32 u n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 u n0_i) 2))) (neg.f32 (+.f32 n0_i (*.f32 u n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 n0_i 3) (pow.f32 (*.f32 u (neg.f32 n0_i)) 3)) (+.f32 (*.f32 n0_i n0_i) (-.f32 (*.f32 (*.f32 u (neg.f32 n0_i)) (*.f32 u (neg.f32 n0_i))) (*.f32 n0_i (*.f32 u (neg.f32 n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 n0_i n0_i) (*.f32 (*.f32 u (neg.f32 n0_i)) (*.f32 u (neg.f32 n0_i)))) (-.f32 n0_i (*.f32 u (neg.f32 n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 n0_i (*.f32 u n0_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 n0_i (*.f32 u n0_i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (-.f32 n0_i (*.f32 u n0_i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 n0_i (*.f32 u n0_i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (-.f32 n0_i (*.f32 u n0_i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (-.f32 n0_i (*.f32 u n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (-.f32 n0_i (*.f32 u n0_i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (-.f32 n0_i (*.f32 u n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (-.f32 n0_i (*.f32 u n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (-.f32 n0_i (*.f32 u n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 n0_i (*.f32 u (neg.f32 n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 n0_i) 2) (cbrt.f32 n0_i) (*.f32 u (neg.f32 n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 u (neg.f32 n0_i)))))))

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

249×	`fma-def_binary32`
248×	`fma-neg_binary32`
59×	`unsub-neg_binary32`
43×	`distribute-rgt-in_binary32`
41×	`cancel-sign-sub-inv_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	505
1	77	424
2	141	424
3	385	424
4	833	424
5	1111	424
6	1220	424
7	1223	424

Stop Event

1×

saturated

Counts

123 → 81

Calls

Call 1

Inputs
(-.f32 n0_i (*.f32 u n0_i))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(*.f32 n1_i u)
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(*.f32 n1_i u)
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
n0_i
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(.f32 -1 (.f32 u (-.f32 (.f32 -1 n1_i) (.f32 -1 n0_i))))
(+.f32 (.f32 -1 (.f32 u (-.f32 (.f32 -1 n1_i) (.f32 -1 n0_i)))) n0_i)
(+.f32 (.f32 -1 (.f32 u (-.f32 (.f32 -1 n1_i) (.f32 -1 n0_i)))) n0_i)
(+.f32 (.f32 -1 (.f32 u (-.f32 (.f32 -1 n1_i) (.f32 -1 n0_i)))) n0_i)
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
n0_i
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(.f32 -1 (.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(.f32 -1 (.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)

Outputs
(-.f32 n0_i (*.f32 u n0_i))
(-.f32 n0_i (*.f32 n0_i u))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i u)
(*.f32 u n1_i)
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i u)
(*.f32 u n1_i)
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
n0_i
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(.f32 -1 (.f32 u (-.f32 (.f32 -1 n1_i) (.f32 -1 n0_i))))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 -1 (.f32 u (-.f32 (.f32 -1 n1_i) (.f32 -1 n0_i)))) n0_i)
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 -1 (.f32 u (-.f32 (.f32 -1 n1_i) (.f32 -1 n0_i)))) n0_i)
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 -1 (.f32 u (-.f32 (.f32 -1 n1_i) (.f32 -1 n0_i)))) n0_i)
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(-.f32 (fma.f32 n1_i u n0_i) (*.f32 n0_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
n0_i
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(.f32 -1 (.f32 u n0_i))
(*.f32 (neg.f32 u) n0_i)
(*.f32 u (neg.f32 n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(.f32 -1 (.f32 u n0_i))
(*.f32 (neg.f32 u) n0_i)
(*.f32 u (neg.f32 n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(-.f32 n0_i (*.f32 n0_i u))

localize64.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f32 (-.f32 1 u) n0_i)
✓	0.1b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series10.0ms (0.1%)

Counts

2 → 30

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	u	@	inf	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
1.0ms	u	@	-inf	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
1.0ms	n0_i	@	-inf	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
1.0ms	n1_i	@	0	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
1.0ms	n1_i	@	inf	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))

rewrite102.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary32`
409×	`prod-exp_binary32`
382×	`fma-def_binary32`
353×	`exp-prod_binary32`
342×	`pow-prod-down_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	192	18
2	2623	18

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

Inputs
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(*.f32 (-.f32 1 u) n0_i)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (*.f32 n1_i u) 2) (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))) (/.f32 (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2) (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))) (pow.f32 (cbrt.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))) 2) (cbrt.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))) (sqrt.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (*.f32 n1_i u) 3) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 3)) (/.f32 1 (fma.f32 (*.f32 (-.f32 1 u) n0_i) (-.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i u)) (pow.f32 (*.f32 n1_i u) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (pow.f32 (*.f32 n1_i u) 2) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2)) (/.f32 1 (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 (*.f32 (-.f32 1 u) n0_i) (-.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i u)) (pow.f32 (*.f32 n1_i u) 2)) (+.f32 (pow.f32 (*.f32 n1_i u) 3) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (-.f32 (pow.f32 (*.f32 n1_i u) 2) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 n1_i u) 3) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 3)) (fma.f32 (*.f32 (-.f32 1 u) n0_i) (-.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i u)) (pow.f32 (*.f32 n1_i u) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 n1_i u) 3) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 3)) (+.f32 (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2) (-.f32 (pow.f32 (*.f32 n1_i u) 2) (*.f32 n1_i (*.f32 u (*.f32 (-.f32 1 u) n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (*.f32 n1_i u) 2) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2)) (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i u) 3) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 3))) (neg.f32 (fma.f32 (*.f32 (-.f32 1 u) n0_i) (-.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i u)) (pow.f32 (*.f32 n1_i u) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n1_i u) 2) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2))) (neg.f32 (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2) (pow.f32 (*.f32 n1_i u) 2)) (-.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i u)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 (*.f32 (-.f32 1 u) n0_i) (-.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i u)) (pow.f32 (*.f32 n1_i u) 2)) (+.f32 (pow.f32 (*.f32 n1_i u) 3) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (-.f32 (pow.f32 (*.f32 n1_i u) 2) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)))) 2)) (cbrt.f32 (log.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))))) (sqrt.f32 (log.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 n1_i u))) (pow.f32 (exp.f32 (-.f32 1 u)) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (pow.f32 (exp.f32 n1_i) u) (+.f32 1 (expm1.f32 (*.f32 (-.f32 1 u) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 n1_i u))) (+.f32 1 (expm1.f32 (*.f32 (-.f32 1 u) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 (-.f32 1 u) n0_i))) (pow.f32 (exp.f32 n1_i) u)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (pow.f32 (exp.f32 (-.f32 1 u)) n0_i) (+.f32 1 (expm1.f32 (*.f32 n1_i u)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 (-.f32 1 u) n0_i))) (+.f32 1 (expm1.f32 (*.f32 n1_i u)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 n1_i u) 1 (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (-.f32 1 u) n0_i (*.f32 n1_i u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 n0_i (-.f32 1 u) (*.f32 n1_i u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (-.f32 1 u) n0_i) 1 (*.f32 n1_i u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 (-.f32 1 u) n0_i)) (pow.f32 (cbrt.f32 (*.f32 (-.f32 1 u) n0_i)) 2) (*.f32 n1_i u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 (-.f32 1 u) n0_i)) 2) (cbrt.f32 (*.f32 (-.f32 1 u) n0_i)) (*.f32 n1_i u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 n1_i) 2) (*.f32 (cbrt.f32 n1_i) u) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (-.f32 1 u)) 2) (*.f32 (cbrt.f32 (-.f32 1 u)) n0_i) (*.f32 n1_i u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u) 2) (*.f32 (cbrt.f32 u) n1_i) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 n0_i) 2) (*.f32 (cbrt.f32 n0_i) (-.f32 1 u)) (*.f32 n1_i u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 n1_i u)) (pow.f32 (cbrt.f32 (*.f32 n1_i u)) 2) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i u)) 2) (cbrt.f32 (*.f32 n1_i u)) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 (-.f32 1 u) n0_i)) (sqrt.f32 (*.f32 (-.f32 1 u) n0_i)) (*.f32 n1_i u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 n1_i) (*.f32 (sqrt.f32 n1_i) u) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (-.f32 1 u)) (*.f32 (sqrt.f32 (-.f32 1 u)) n0_i) (*.f32 n1_i u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u) (*.f32 (sqrt.f32 u) n1_i) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 n0_i) (*.f32 (sqrt.f32 n0_i) (-.f32 1 u)) (*.f32 n1_i u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 n1_i u)) (sqrt.f32 (*.f32 n1_i u)) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 n1_i (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 n1_i (sqrt.f32 u)) (sqrt.f32 u) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (pow.f32 (cbrt.f32 n1_i) 2)) (cbrt.f32 n1_i) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (sqrt.f32 n1_i)) (sqrt.f32 n1_i) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (-.f32 1 u) (pow.f32 (cbrt.f32 n0_i) 2)) (cbrt.f32 n0_i) (*.f32 n1_i u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (-.f32 1 u) (sqrt.f32 n0_i)) (sqrt.f32 n0_i) (*.f32 n1_i u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 n0_i (pow.f32 (cbrt.f32 (-.f32 1 u)) 2)) (cbrt.f32 (-.f32 1 u)) (*.f32 n1_i u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 n0_i (sqrt.f32 (-.f32 1 u))) (sqrt.f32 (-.f32 1 u)) (*.f32 n1_i u))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 n0_i (*.f32 (neg.f32 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 n0_i (*.f32 n0_i (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (-.f32 1 u)) n0_i)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (-.f32 1 u)) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (-.f32 1 u)) n0_i))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (-.f32 1 u)) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (-.f32 1 u) n0_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 (pow.f32 u 3)) n0_i) (fma.f32 u (+.f32 u 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 u 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 3))) (fma.f32 u (+.f32 u 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n0_i (-.f32 1 (*.f32 u u))) (+.f32 u 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (-.f32 1 u) n0_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (*.f32 (-.f32 1 u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (-.f32 1 u) n0_i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (-.f32 1 u) n0_i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (-.f32 1 u) n0_i) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (-.f32 1 u) n0_i))) 2)) (cbrt.f32 (log.f32 (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (-.f32 1 u) n0_i)))) (sqrt.f32 (log.f32 (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (-.f32 1 u)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (-.f32 1 u) n0_i) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (-.f32 1 u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (-.f32 1 u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (-.f32 1 u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (-.f32 1 u) n0_i)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (-.f32 1 u) n0_i))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (-.f32 1 u) n0_i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (-.f32 1 u) n0_i))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (-.f32 1 u) n0_i)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (-.f32 1 u) n0_i)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log1p.f32 (neg.f32 u)) 1) (log.f32 n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log1p.f32 (neg.f32 u)) (*.f32 (log.f32 n0_i) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log1p.f32 (neg.f32 u)) 1) (*.f32 (log.f32 n0_i) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 n0_i) 1) (log1p.f32 (neg.f32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 n0_i) (*.f32 (log1p.f32 (neg.f32 u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 n0_i) 1) (*.f32 (log1p.f32 (neg.f32 u)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 n0_i (*.f32 (neg.f32 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 n0_i (*.f32 n0_i (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 n0_i 1 (*.f32 (neg.f32 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 n0_i 1 (*.f32 n0_i (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) 2) (*.f32 (neg.f32 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 n0_i) (pow.f32 (cbrt.f32 n0_i) 2) (*.f32 n0_i (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 n0_i) 2) (cbrt.f32 n0_i) (*.f32 (neg.f32 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 n0_i) 2) (cbrt.f32 n0_i) (*.f32 n0_i (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 (neg.f32 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 n0_i (neg.f32 u)))))))

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

325×	`fma-def_binary32`
247×	`fma-neg_binary32`
48×	`cancel-sign-sub-inv_binary32`
47×	`unsub-neg_binary32`
38×	`sub-neg_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	218
1	55	196
2	118	196
3	231	196
4	504	196
5	862	196
6	1126	196
7	1195	196
8	1197	196

Stop Event

1×

saturated

Counts

152 → 136

Calls

Call 1

Inputs
(*.f32 (-.f32 1 u) n0_i)
(*.f32 n1_i u)
(*.f32 n1_i u)
n0_i
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(.f32 (+.f32 n1_i (.f32 -1 n0_i)) u)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i)))
(+.f32 (.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i))) n0_i)
(+.f32 (.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i))) n0_i)
(+.f32 (.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i))) n0_i)
(*.f32 n1_i u)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
n0_i
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(.f32 -1 (.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(.f32 -1 (.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)

Outputs
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
(*.f32 n1_i u)
(*.f32 u n1_i)
n0_i
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(fma.f32 (+.f32 n1_i (neg.f32 n0_i)) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(fma.f32 (+.f32 n1_i (neg.f32 n0_i)) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(fma.f32 (+.f32 n1_i (neg.f32 n0_i)) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(.f32 (+.f32 n1_i (.f32 -1 n0_i)) u)
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(fma.f32 (+.f32 n1_i (neg.f32 n0_i)) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(fma.f32 (+.f32 n1_i (neg.f32 n0_i)) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(fma.f32 (+.f32 n1_i (neg.f32 n0_i)) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i))) n0_i)
(fma.f32 (+.f32 n1_i (neg.f32 n0_i)) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i))) n0_i)
(fma.f32 (+.f32 n1_i (neg.f32 n0_i)) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i))) n0_i)
(fma.f32 (+.f32 n1_i (neg.f32 n0_i)) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i u)
(*.f32 u n1_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
n0_i
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(.f32 -1 (.f32 u n0_i))
(neg.f32 (*.f32 u n0_i))
(*.f32 u (neg.f32 n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(.f32 -1 (.f32 u n0_i))
(neg.f32 (*.f32 u n0_i))
(*.f32 u (neg.f32 n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))

localize99.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f32 (*.f32 u normAngle))
✓	0.0b	(/.f32 1 (sin.f32 normAngle))
✓	0.1b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	1.6b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))

Compiler

Compiled 55 to 22 computations (60% saved)

series20.0ms (0.1%)

Counts

3 → 60

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	normAngle	@	0	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
2.0ms	normAngle	@	0	(/.f32 1 (sin.f32 normAngle))
1.0ms	normAngle	@	inf	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
1.0ms	normAngle	@	-inf	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
1.0ms	u	@	inf	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))

rewrite138.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`log-prod_binary32`
350×	`pow2_binary32`
297×	`fma-def_binary32`
253×	`pow-unpow_binary32`
246×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	269	27
2	3538	27

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

Inputs
(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(/.f32 1 (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))

Outputs

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

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

simplify114.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

498×	`associate-l_binary32`
444×	`associate-r_binary32`
431×	`fma-def_binary32`
408×	`distribute-rgt-in_binary32`
381×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	1234
1	275	1195
2	913	1105
3	4215	1087

Stop Event

1×	node limit

Counts

179 → 151

Calls

Call 1

Inputs
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
n0_i
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
n0_i
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 1/120 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle))) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) n0_i)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) n0_i))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u))))) (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))))))) (pow.f32 normAngle 6)) (+.f32 (.f32 n1_i u) n0_i))))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
n0_i
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 1 normAngle)
(+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle))
(+.f32 (/.f32 1 normAngle) (+.f32 (.f32 1/6 normAngle) (.f32 7/360 (pow.f32 normAngle 3))))
(+.f32 (.f32 31/15120 (pow.f32 normAngle 5)) (+.f32 (/.f32 1 normAngle) (+.f32 (.f32 1/6 normAngle) (*.f32 7/360 (pow.f32 normAngle 3)))))
(*.f32 u normAngle)
(+.f32 (.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (*.f32 u normAngle))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (*.f32 u normAngle)))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 u 7) (pow.f32 normAngle 7))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (*.f32 u normAngle))))
(*.f32 u normAngle)
(+.f32 (.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (*.f32 u normAngle))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (*.f32 u normAngle)))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 u 7) (pow.f32 normAngle 7))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (*.f32 u normAngle))))

Outputs
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
n0_i
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
n0_i
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 n0_i (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))))
(+.f32 n0_i (/.f32 (.f32 u (.f32 normAngle n1_i)) (sin.f32 normAngle)))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 u normAngle))) (fma.f32 -1/6 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) n0_i))
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(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(/.f32 1 normAngle)
(+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle))
(+.f32 (/.f32 1 normAngle) (*.f32 normAngle 1/6))
(fma.f32 normAngle 1/6 (/.f32 1 normAngle))
(+.f32 (/.f32 1 normAngle) (+.f32 (.f32 1/6 normAngle) (.f32 7/360 (pow.f32 normAngle 3))))
(+.f32 (/.f32 1 normAngle) (fma.f32 1/6 normAngle (*.f32 (pow.f32 normAngle 3) 7/360)))
(+.f32 (/.f32 1 normAngle) (fma.f32 (pow.f32 normAngle 3) 7/360 (*.f32 normAngle 1/6)))
(fma.f32 normAngle 1/6 (fma.f32 (pow.f32 normAngle 3) 7/360 (/.f32 1 normAngle)))
(+.f32 (.f32 31/15120 (pow.f32 normAngle 5)) (+.f32 (/.f32 1 normAngle) (+.f32 (.f32 1/6 normAngle) (*.f32 7/360 (pow.f32 normAngle 3)))))
(fma.f32 31/15120 (pow.f32 normAngle 5) (+.f32 (/.f32 1 normAngle) (fma.f32 1/6 normAngle (*.f32 (pow.f32 normAngle 3) 7/360))))
(+.f32 (fma.f32 (pow.f32 normAngle 3) 7/360 (*.f32 normAngle 1/6)) (fma.f32 (pow.f32 normAngle 5) 31/15120 (/.f32 1 normAngle)))
(fma.f32 (pow.f32 normAngle 5) 31/15120 (fma.f32 normAngle 1/6 (fma.f32 (pow.f32 normAngle 3) 7/360 (/.f32 1 normAngle))))
(*.f32 u normAngle)
(+.f32 (.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (*.f32 u normAngle))
(fma.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (.f32 u normAngle))
(fma.f32 u normAngle (.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (*.f32 u normAngle)))
(fma.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (fma.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (*.f32 u normAngle)))
(fma.f32 u normAngle (fma.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (.f32 1/120 (*.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 u 7) (pow.f32 normAngle 7))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (*.f32 u normAngle))))
(fma.f32 -1/5040 (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)) (fma.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (fma.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (.f32 u normAngle))))
(fma.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (fma.f32 -1/5040 (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)) (fma.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (.f32 u normAngle))))
(*.f32 u normAngle)
(+.f32 (.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (*.f32 u normAngle))
(fma.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (.f32 u normAngle))
(fma.f32 u normAngle (.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (*.f32 u normAngle)))
(fma.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (fma.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (*.f32 u normAngle)))
(fma.f32 u normAngle (fma.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (.f32 1/120 (*.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 u 7) (pow.f32 normAngle 7))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (*.f32 u normAngle))))
(fma.f32 -1/5040 (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)) (fma.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (fma.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (.f32 u normAngle))))
(fma.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (fma.f32 -1/5040 (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)) (fma.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (.f32 u normAngle))))

localize128.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f32 normAngle)
✓	0.0b	(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
✓	0.0b	(/.f32 n0_i (sin.f32 normAngle))
✓	0.3b	(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))

Compiler

Compiled 37 to 10 computations (73% saved)

series45.0ms (0.3%)

Counts

4 → 56

Calls

24 calls:

Time	Variable		Point	Expression
14.0ms	normAngle	@	inf	(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
6.0ms	normAngle	@	0	(/.f32 n0_i (sin.f32 normAngle))
3.0ms	normAngle	@	0	(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
3.0ms	n0_i	@	0	(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
2.0ms	normAngle	@	-inf	(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))

rewrite121.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

504×	`log-prod_binary32`
392×	`exp-prod_binary32`
371×	`prod-diff_binary32`
307×	`pow-prod-down_binary32`
257×	`pow2_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	207	31
2	2735	31

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

Inputs
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 n0_i (sin.f32 normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(sin.f32 normAngle)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 n0_i (sin.f32 normAngle))) (sin.f32 (fma.f32 u normAngle normAngle)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 n0_i (sin.f32 normAngle))) (sin.f32 (fma.f32 u normAngle normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 n0_i (sin.f32 normAngle))) (sin.f32 (fma.f32 u normAngle normAngle))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 n0_i (sin.f32 normAngle))) (sin.f32 (fma.f32 u normAngle normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 (sin.f32 normAngle) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sin.f32 normAngle) (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) n0_i) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) n0_i)) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) n0_i) 1) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) n0_i) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (cbrt.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) n0_i) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 n0_i) (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (neg.f32 n0_i)) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 normAngle) (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) n0_i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle))))) 2)) (cbrt.f32 (log.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))) (sqrt.f32 (log.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (/.f32 n0_i (sin.f32 normAngle))) (sin.f32 (fma.f32 u normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (*.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 n0_i (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 n0_i (sin.f32 normAngle)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 n0_i (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 n0_i (sin.f32 normAngle))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 n0_i (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 n0_i (sin.f32 normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 n0_i (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 n0_i (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 n0_i (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 n0_i (sin.f32 normAngle))) (pow.f32 (cbrt.f32 (/.f32 n0_i (sin.f32 normAngle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 n0_i (sin.f32 normAngle))) 2) (cbrt.f32 (/.f32 n0_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 n0_i) 2) (.f32 (cbrt.f32 n0_i) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 n0_i (sin.f32 normAngle))) (sqrt.f32 (/.f32 n0_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 n0_i) (.f32 (sqrt.f32 n0_i) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 n0_i) (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sin.f32 normAngle)) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 n0_i) 2) 1) (/.f32 (cbrt.f32 n0_i) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 n0_i) 1) (/.f32 (sqrt.f32 n0_i) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (sin.f32 normAngle)) -2) (/.f32 n0_i (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 n0_i) 2) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (cbrt.f32 (/.f32 n0_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 n0_i) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 (sqrt.f32 n0_i) (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sin.f32 normAngle) -1/2) (/.f32 n0_i (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 n0_i) 2) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 n0_i) (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 n0_i (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 n0_i (sin.f32 normAngle)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 n0_i (sin.f32 normAngle)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 n0_i (sin.f32 normAngle))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 n0_i (sin.f32 normAngle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 normAngle) n0_i) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (/.f32 n0_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 n0_i 3) (pow.f32 (sin.f32 normAngle) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle)))) 2)) (cbrt.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle))))) (sqrt.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 n0_i (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 n0_i (sin.f32 normAngle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 n0_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 n0_i (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 n0_i (sin.f32 normAngle)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 n0_i 3) (pow.f32 (sin.f32 normAngle) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 n0_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 n0_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 n0_i (sin.f32 normAngle)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (/.f32 n0_i (sin.f32 normAngle)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 n0_i (sin.f32 normAngle)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 normAngle) n0_i)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (fma.f32 u normAngle normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 (.f32 u normAngle)) (cos.f32 normAngle)) (.f32 (cos.f32 (.f32 u normAngle)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 normAngle) (cos.f32 (.f32 u normAngle))) (.f32 (cos.f32 normAngle) (sin.f32 (.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 (.f32 (.f32 u normAngle) 1)) (cos.f32 normAngle)) (.f32 (cos.f32 (.f32 (.f32 u normAngle) 1)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (fma.f32 u normAngle normAngle)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (fma.f32 u normAngle normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (fma.f32 u normAngle normAngle))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (fma.f32 u normAngle normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (fma.f32 u normAngle normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (fma.f32 u normAngle normAngle)))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (fma.f32 u normAngle normAngle)))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (fma.f32 u normAngle normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sin.f32 (fma.f32 u normAngle normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (sin.f32 (fma.f32 u normAngle normAngle))) (pow.f32 (cbrt.f32 (sin.f32 (fma.f32 u normAngle normAngle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (sin.f32 (fma.f32 u normAngle normAngle))) 2) (cbrt.f32 (sin.f32 (fma.f32 u normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (sin.f32 (fma.f32 u normAngle normAngle))) (sqrt.f32 (sin.f32 (fma.f32 u normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (fma.f32 u normAngle normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (fma.f32 u normAngle normAngle)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (fma.f32 u normAngle normAngle)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (fma.f32 u normAngle normAngle))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (fma.f32 u normAngle normAngle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (sin.f32 (fma.f32 u normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sin.f32 (fma.f32 u normAngle normAngle)))) 2)) (cbrt.f32 (log.f32 (sin.f32 (fma.f32 u normAngle normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (fma.f32 u normAngle normAngle))))) (sqrt.f32 (log.f32 (sin.f32 (fma.f32 u normAngle normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (fma.f32 u normAngle normAngle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (fma.f32 u normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (fma.f32 u normAngle normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (fma.f32 u normAngle normAngle)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (fma.f32 u normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (fma.f32 u normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (fma.f32 u normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sin.f32 (fma.f32 u normAngle normAngle))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (sin.f32 (fma.f32 u normAngle normAngle)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (sin.f32 (fma.f32 u normAngle normAngle)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (sin.f32 (fma.f32 u normAngle normAngle)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (sin.f32 (fma.f32 u normAngle normAngle))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sin.f32 (.f32 u normAngle)) (cos.f32 normAngle) (.f32 (cos.f32 (.f32 u normAngle)) (sin.f32 normAngle)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 0) (cos.f32 normAngle)) (.f32 (cos.f32 0) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 normAngle))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 normAngle)))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 normAngle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (sin.f32 0) (cos.f32 normAngle)) (.f32 (cos.f32 0) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 normAngle))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 normAngle))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 normAngle) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (sin.f32 normAngle)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2) (cbrt.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2) (neg.f32 (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (sin.f32 normAngle)) (sqrt.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (sin.f32 normAngle)) (neg.f32 (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (cbrt.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 normAngle) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 normAngle) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 normAngle) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 normAngle)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 normAngle)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sin.f32 normAngle))) 2)) (cbrt.f32 (log.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 normAngle)))) (sqrt.f32 (log.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (/.f32 1 (+.f32 1 (expm1.f32 (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 normAngle) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sin.f32 normAngle)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (sin.f32 normAngle))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (sin.f32 normAngle))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (sin.f32 normAngle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (*.f32 (log.f32 (sin.f32 normAngle)) 1) 1))))))

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

874×	`fma-def_binary32`
690×	`fma-neg_binary32`
502×	`cancel-sign-sub-inv_binary32`
395×	`*-commutative_binary32`
256×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	1405
1	436	1278
2	1542	1248
3	5398	1246

Stop Event

1×	node limit

Counts

211 → 205

Calls

Call 1

Inputs
n0_i
(+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (*.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(+.f32 (.f32 1/6 (/.f32 (.f32 (cos.f32 normAngle) (.f32 (pow.f32 u 3) (.f32 n0_i (pow.f32 normAngle 3)))) (sin.f32 normAngle))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (*.f32 n0_i normAngle))) (sin.f32 normAngle))))))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 3) n0_i)) (.f32 -1/6 (.f32 (+.f32 1 (.f32 -1 u)) n0_i))) (pow.f32 normAngle 2)) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (+.f32 1 (.f32 -1 u)) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 3) n0_i)) (.f32 -1/6 (.f32 (+.f32 1 (.f32 -1 u)) n0_i)))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 3) n0_i)) (.f32 -1/6 (.f32 (+.f32 1 (.f32 -1 u)) n0_i))) (pow.f32 normAngle 2)) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (+.f32 1 (.f32 -1 u)) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 3) n0_i)) (.f32 -1/6 (.f32 (+.f32 1 (.f32 -1 u)) n0_i)))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 3) n0_i)) (.f32 -1/6 (.f32 (+.f32 1 (.f32 -1 u)) n0_i))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 -1/5040 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 7) n0_i)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (+.f32 1 (.f32 -1 u)) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 3) n0_i)) (.f32 -1/6 (.f32 (+.f32 1 (.f32 -1 u)) n0_i))))))) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 3) n0_i)) (.f32 -1/6 (.f32 (+.f32 1 (.f32 -1 u)) n0_i)))) (.f32 -1/5040 (.f32 (+.f32 1 (.f32 -1 u)) n0_i))))) (pow.f32 normAngle 6)) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (fma.f32 u (.f32 -1 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (fma.f32 u (.f32 -1 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (fma.f32 u (.f32 -1 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (fma.f32 u (.f32 -1 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i normAngle)
(+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n0_i) (.f32 -1/36 n0_i)) (pow.f32 normAngle 3))) (+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle)))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n0_i) (.f32 -1/36 n0_i)) (pow.f32 normAngle 3))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/720 n0_i) (+.f32 (.f32 -1/5040 n0_i) (.f32 1/6 (+.f32 (.f32 1/120 n0_i) (.f32 -1/36 n0_i))))) (pow.f32 normAngle 5))) (+.f32 (.f32 1/6 (*.f32 n0_i normAngle)) (/.f32 n0_i normAngle))))
(sin.f32 normAngle)
(+.f32 (sin.f32 normAngle) (.f32 -1 (.f32 (cos.f32 normAngle) (*.f32 u normAngle))))
(+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))) (+.f32 (sin.f32 normAngle) (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 u normAngle)))))
(+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))) (+.f32 (sin.f32 normAngle) (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 u normAngle))) (.f32 1/6 (.f32 (cos.f32 normAngle) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))))))
(.f32 (+.f32 1 (.f32 -1 u)) normAngle)
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle) (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (*.f32 -1 u)) 3) (pow.f32 normAngle 3))))
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle) (+.f32 (.f32 1/120 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 5) (pow.f32 normAngle 5))) (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 3) (pow.f32 normAngle 3)))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 7) (pow.f32 normAngle 7))) (+.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle) (+.f32 (.f32 1/120 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 5) (pow.f32 normAngle 5))) (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (*.f32 -1 u)) 3) (pow.f32 normAngle 3))))))
(sin.f32 (fma.f32 u (*.f32 -1 normAngle) normAngle))
(sin.f32 (fma.f32 u (*.f32 -1 normAngle) normAngle))
(sin.f32 (fma.f32 u (*.f32 -1 normAngle) normAngle))
(sin.f32 (fma.f32 u (*.f32 -1 normAngle) normAngle))
normAngle
(+.f32 (*.f32 -1/6 (pow.f32 normAngle 3)) normAngle)
(+.f32 (.f32 1/120 (pow.f32 normAngle 5)) (+.f32 (.f32 -1/6 (pow.f32 normAngle 3)) normAngle))
(+.f32 (.f32 1/120 (pow.f32 normAngle 5)) (+.f32 (.f32 -1/5040 (pow.f32 normAngle 7)) (+.f32 (*.f32 -1/6 (pow.f32 normAngle 3)) normAngle)))

Outputs
n0_i
(+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(+.f32 n0_i (neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 (*.f32 u n0_i) normAngle)) (sin.f32 normAngle))))
(-.f32 n0_i (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 normAngle (*.f32 n0_i u))))
(-.f32 n0_i (/.f32 (.f32 n0_i normAngle) (/.f32 (sin.f32 normAngle) (.f32 (cos.f32 normAngle) u))))
(-.f32 n0_i (.f32 (.f32 normAngle (*.f32 n0_i u)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (*.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(fma.f32 -1/2 (.f32 (.f32 u u) (.f32 n0_i (.f32 normAngle normAngle))) (+.f32 n0_i (neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 (*.f32 u n0_i) normAngle)) (sin.f32 normAngle)))))
(-.f32 (fma.f32 -1/2 (.f32 (.f32 normAngle normAngle) (.f32 n0_i (.f32 u u))) n0_i) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 normAngle (*.f32 n0_i u))))
(-.f32 (fma.f32 -1/2 (.f32 n0_i (.f32 u (.f32 u (.f32 normAngle normAngle)))) n0_i) (/.f32 (.f32 n0_i normAngle) (/.f32 (sin.f32 normAngle) (.f32 (cos.f32 normAngle) u))))
(-.f32 (fma.f32 -1/2 (.f32 n0_i (.f32 (.f32 u u) (.f32 normAngle normAngle))) n0_i) (.f32 (.f32 normAngle (*.f32 n0_i u)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(+.f32 (.f32 1/6 (/.f32 (.f32 (cos.f32 normAngle) (.f32 (pow.f32 u 3) (.f32 n0_i (pow.f32 normAngle 3)))) (sin.f32 normAngle))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (*.f32 n0_i normAngle))) (sin.f32 normAngle))))))
(fma.f32 1/6 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 3) (.f32 n0_i (pow.f32 normAngle 3))))) (fma.f32 -1/2 (.f32 (.f32 u u) (.f32 n0_i (.f32 normAngle normAngle))) (+.f32 n0_i (neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 (*.f32 u n0_i) normAngle)) (sin.f32 normAngle))))))
(fma.f32 1/6 (/.f32 (.f32 n0_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (/.f32 (sin.f32 normAngle) (cos.f32 normAngle))) (-.f32 (fma.f32 -1/2 (.f32 (.f32 normAngle normAngle) (.f32 n0_i (.f32 u u))) n0_i) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 normAngle (*.f32 n0_i u)))))
(fma.f32 1/6 (.f32 (.f32 n0_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))) (-.f32 (fma.f32 -1/2 (.f32 n0_i (.f32 u (.f32 u (.f32 normAngle normAngle)))) n0_i) (/.f32 (.f32 n0_i normAngle) (/.f32 (sin.f32 normAngle) (*.f32 (cos.f32 normAngle) u)))))
(-.f32 (fma.f32 1/6 (.f32 (.f32 (pow.f32 normAngle 3) (.f32 n0_i (pow.f32 u 3))) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))) (fma.f32 -1/2 (.f32 n0_i (.f32 (.f32 u u) (.f32 normAngle normAngle))) n0_i)) (.f32 (.f32 normAngle (.f32 n0_i u)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(*.f32 n0_i (+.f32 1 (neg.f32 u)))
(*.f32 n0_i (-.f32 1 u))
(-.f32 n0_i (*.f32 n0_i u))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 3) n0_i)) (.f32 -1/6 (.f32 (+.f32 1 (.f32 -1 u)) n0_i))) (pow.f32 normAngle 2)) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(fma.f32 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (+.f32 1 (neg.f32 u)) 3)) (.f32 n0_i (+.f32 1 (neg.f32 u))))) (.f32 normAngle normAngle) (*.f32 n0_i (+.f32 1 (neg.f32 u))))
(fma.f32 n0_i (-.f32 1 u) (.f32 -1/6 (.f32 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))) (.f32 normAngle normAngle))))
(fma.f32 (.f32 (.f32 normAngle normAngle) -1/6) (.f32 n0_i (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u)) (.f32 n0_i (-.f32 1 u)))
(fma.f32 (.f32 (.f32 normAngle normAngle) -1/6) (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 -1 u))) (-.f32 n0_i (.f32 n0_i u)))
(+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (+.f32 1 (.f32 -1 u)) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 3) n0_i)) (.f32 -1/6 (.f32 (+.f32 1 (.f32 -1 u)) n0_i)))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 3) n0_i)) (.f32 -1/6 (.f32 (+.f32 1 (.f32 -1 u)) n0_i))) (pow.f32 normAngle 2)) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i)))
(fma.f32 (-.f32 (.f32 1/120 (.f32 n0_i (pow.f32 (+.f32 1 (neg.f32 u)) 5))) (fma.f32 1/120 (.f32 n0_i (+.f32 1 (neg.f32 u))) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (+.f32 1 (neg.f32 u)) 3)) (.f32 n0_i (+.f32 1 (neg.f32 u)))))))) (pow.f32 normAngle 4) (fma.f32 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (+.f32 1 (neg.f32 u)) 3)) (.f32 n0_i (+.f32 1 (neg.f32 u))))) (.f32 normAngle normAngle) (.f32 n0_i (+.f32 1 (neg.f32 u)))))
(fma.f32 (-.f32 (.f32 n0_i (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (.f32 (-.f32 1 u) 1/120))) (.f32 1/36 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))) (pow.f32 normAngle 4) (fma.f32 n0_i (-.f32 1 u) (.f32 -1/6 (.f32 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))) (*.f32 normAngle normAngle)))))
(fma.f32 (fma.f32 n0_i (.f32 1/120 (-.f32 (pow.f32 (-.f32 1 u) 5) (-.f32 1 u))) (.f32 -1/36 (.f32 n0_i (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u)))) (pow.f32 normAngle 4) (fma.f32 (.f32 (.f32 normAngle normAngle) -1/6) (.f32 n0_i (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u)) (*.f32 n0_i (-.f32 1 u))))
(fma.f32 n0_i (-.f32 1 u) (fma.f32 (fma.f32 n0_i (.f32 1/120 (+.f32 (pow.f32 (-.f32 1 u) 5) (+.f32 -1 u))) (.f32 -1/36 (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 -1 u))))) (pow.f32 normAngle 4) (.f32 (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 -1 u))) (.f32 (*.f32 normAngle normAngle) -1/6))))
(+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (+.f32 1 (.f32 -1 u)) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 3) n0_i)) (.f32 -1/6 (.f32 (+.f32 1 (.f32 -1 u)) n0_i)))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 3) n0_i)) (.f32 -1/6 (.f32 (+.f32 1 (.f32 -1 u)) n0_i))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 -1/5040 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 7) n0_i)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (+.f32 1 (.f32 -1 u)) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 3) n0_i)) (.f32 -1/6 (.f32 (+.f32 1 (.f32 -1 u)) n0_i))))))) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 3) n0_i)) (.f32 -1/6 (.f32 (+.f32 1 (.f32 -1 u)) n0_i)))) (.f32 -1/5040 (.f32 (+.f32 1 (.f32 -1 u)) n0_i))))) (pow.f32 normAngle 6)) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))))
(fma.f32 (-.f32 (.f32 1/120 (.f32 n0_i (pow.f32 (+.f32 1 (neg.f32 u)) 5))) (fma.f32 1/120 (.f32 n0_i (+.f32 1 (neg.f32 u))) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (+.f32 1 (neg.f32 u)) 3)) (.f32 n0_i (+.f32 1 (neg.f32 u)))))))) (pow.f32 normAngle 4) (fma.f32 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (+.f32 1 (neg.f32 u)) 3)) (.f32 n0_i (+.f32 1 (neg.f32 u))))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 -1/5040 (.f32 n0_i (pow.f32 (+.f32 1 (neg.f32 u)) 7))) (fma.f32 -1/6 (-.f32 (.f32 1/120 (.f32 n0_i (pow.f32 (+.f32 1 (neg.f32 u)) 5))) (fma.f32 1/120 (.f32 n0_i (+.f32 1 (neg.f32 u))) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (+.f32 1 (neg.f32 u)) 3)) (.f32 n0_i (+.f32 1 (neg.f32 u)))))))) (fma.f32 1/120 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (+.f32 1 (neg.f32 u)) 3)) (.f32 n0_i (+.f32 1 (neg.f32 u))))) (.f32 (.f32 n0_i (+.f32 1 (neg.f32 u))) -1/5040)))) (pow.f32 normAngle 6) (.f32 n0_i (+.f32 1 (neg.f32 u))))))
(fma.f32 (-.f32 (.f32 n0_i (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (.f32 (-.f32 1 u) 1/120))) (.f32 1/36 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))) (pow.f32 normAngle 4) (fma.f32 (.f32 normAngle normAngle) (.f32 -1/6 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u)))) (fma.f32 (-.f32 (.f32 n0_i (.f32 -1/5040 (pow.f32 (-.f32 1 u) 7))) (fma.f32 -1/6 (-.f32 (.f32 n0_i (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (.f32 (-.f32 1 u) 1/120))) (.f32 1/36 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))) (fma.f32 (.f32 n0_i (-.f32 1 u)) -1/5040 (.f32 -1/720 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))))) (pow.f32 normAngle 6) (*.f32 n0_i (-.f32 1 u)))))
(fma.f32 (fma.f32 n0_i (.f32 1/120 (-.f32 (pow.f32 (-.f32 1 u) 5) (-.f32 1 u))) (.f32 -1/36 (.f32 n0_i (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u)))) (pow.f32 normAngle 4) (fma.f32 n0_i (-.f32 1 u) (fma.f32 (-.f32 (.f32 n0_i (.f32 -1/5040 (pow.f32 (-.f32 1 u) 7))) (fma.f32 n0_i (fma.f32 (neg.f32 u) -1/5040 -1/5040) (fma.f32 -1/6 (fma.f32 n0_i (.f32 1/120 (-.f32 (pow.f32 (-.f32 1 u) 5) (-.f32 1 u))) (.f32 -1/36 (.f32 n0_i (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u)))) (.f32 (.f32 n0_i (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u)) -1/720)))) (pow.f32 normAngle 6) (.f32 normAngle (.f32 normAngle (.f32 n0_i (.f32 -1/6 (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u))))))))
(fma.f32 (fma.f32 n0_i (.f32 1/120 (+.f32 (pow.f32 (-.f32 1 u) 5) (+.f32 -1 u))) (.f32 -1/36 (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 -1 u))))) (pow.f32 normAngle 4) (fma.f32 (+.f32 (fma.f32 n0_i (.f32 -1/5040 (pow.f32 (-.f32 1 u) 7)) (fma.f32 1/6 (fma.f32 n0_i (.f32 1/120 (+.f32 (pow.f32 (-.f32 1 u) 5) (+.f32 -1 u))) (.f32 -1/36 (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 -1 u))))) (.f32 (-.f32 n0_i (.f32 n0_i u)) 1/5040))) (.f32 1/720 (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 -1 u))))) (pow.f32 normAngle 6) (fma.f32 (.f32 (.f32 normAngle normAngle) -1/6) (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 -1 u))) (-.f32 n0_i (*.f32 n0_i u)))))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (fma.f32 u (.f32 -1 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (fma.f32 u (.f32 -1 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (fma.f32 u (.f32 -1 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (fma.f32 u (.f32 -1 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 -1 (*.f32 u normAngle)) normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 n0_i normAngle)
(+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle))
(fma.f32 1/6 (*.f32 n0_i normAngle) (/.f32 n0_i normAngle))
(fma.f32 (*.f32 n0_i 1/6) normAngle (/.f32 n0_i normAngle))
(fma.f32 n0_i (*.f32 normAngle 1/6) (/.f32 n0_i normAngle))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n0_i) (.f32 -1/36 n0_i)) (pow.f32 normAngle 3))) (+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle)))
(fma.f32 -1 (.f32 (pow.f32 normAngle 3) (.f32 n0_i -7/360)) (fma.f32 1/6 (*.f32 n0_i normAngle) (/.f32 n0_i normAngle)))
(-.f32 (fma.f32 (.f32 n0_i 1/6) normAngle (/.f32 n0_i normAngle)) (.f32 (pow.f32 normAngle 3) (*.f32 n0_i -7/360)))
(fma.f32 (pow.f32 normAngle 3) (.f32 n0_i 7/360) (fma.f32 n0_i (.f32 normAngle 1/6) (/.f32 n0_i normAngle)))
(fma.f32 n0_i (.f32 normAngle 1/6) (fma.f32 (pow.f32 normAngle 3) (.f32 n0_i 7/360) (/.f32 n0_i normAngle)))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n0_i) (.f32 -1/36 n0_i)) (pow.f32 normAngle 3))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/720 n0_i) (+.f32 (.f32 -1/5040 n0_i) (.f32 1/6 (+.f32 (.f32 1/120 n0_i) (.f32 -1/36 n0_i))))) (pow.f32 normAngle 5))) (+.f32 (.f32 1/6 (*.f32 n0_i normAngle)) (/.f32 n0_i normAngle))))
(fma.f32 -1 (.f32 (pow.f32 normAngle 3) (.f32 n0_i -7/360)) (fma.f32 -1 (.f32 (fma.f32 1/720 n0_i (fma.f32 -1/5040 n0_i (.f32 1/6 (.f32 n0_i -7/360)))) (pow.f32 normAngle 5)) (fma.f32 1/6 (.f32 n0_i normAngle) (/.f32 n0_i normAngle))))
(-.f32 (-.f32 (fma.f32 (.f32 n0_i 1/6) normAngle (/.f32 n0_i normAngle)) (.f32 (+.f32 (.f32 n0_i -7/2160) (.f32 n0_i 1/840)) (pow.f32 normAngle 5))) (.f32 (pow.f32 normAngle 3) (.f32 n0_i -7/360)))
(-.f32 (fma.f32 n0_i (.f32 normAngle 1/6) (/.f32 n0_i normAngle)) (fma.f32 n0_i (.f32 (pow.f32 normAngle 3) -7/360) (.f32 (.f32 n0_i -31/15120) (pow.f32 normAngle 5))))
(-.f32 (fma.f32 n0_i (.f32 normAngle 1/6) (/.f32 n0_i normAngle)) (fma.f32 (pow.f32 normAngle 3) (.f32 n0_i -7/360) (.f32 (.f32 n0_i -31/15120) (pow.f32 normAngle 5))))
(sin.f32 normAngle)
(+.f32 (sin.f32 normAngle) (.f32 -1 (.f32 (cos.f32 normAngle) (*.f32 u normAngle))))
(+.f32 (sin.f32 normAngle) (neg.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle u))))
(-.f32 (sin.f32 normAngle) (.f32 (cos.f32 normAngle) (.f32 normAngle u)))
(fma.f32 (cos.f32 normAngle) (*.f32 normAngle (neg.f32 u)) (sin.f32 normAngle))
(+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))) (+.f32 (sin.f32 normAngle) (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 u normAngle)))))
(fma.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (.f32 u u) (.f32 normAngle normAngle))) (+.f32 (sin.f32 normAngle) (neg.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle u)))))
(fma.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 normAngle (.f32 normAngle (.f32 u u)))) (-.f32 (sin.f32 normAngle) (.f32 (cos.f32 normAngle) (.f32 normAngle u))))
(fma.f32 (cos.f32 normAngle) (.f32 normAngle (neg.f32 u)) (.f32 (+.f32 (.f32 -1/2 (.f32 u (.f32 u (.f32 normAngle normAngle)))) 1) (sin.f32 normAngle)))
(fma.f32 (cos.f32 normAngle) (.f32 normAngle (neg.f32 u)) (fma.f32 (sin.f32 normAngle) (.f32 -1/2 (.f32 (.f32 u u) (*.f32 normAngle normAngle))) (sin.f32 normAngle)))
(+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))) (+.f32 (sin.f32 normAngle) (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 u normAngle))) (.f32 1/6 (.f32 (cos.f32 normAngle) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))))))
(fma.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (.f32 u u) (.f32 normAngle normAngle))) (+.f32 (sin.f32 normAngle) (fma.f32 -1 (.f32 (cos.f32 normAngle) (.f32 normAngle u)) (.f32 1/6 (.f32 (cos.f32 normAngle) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))))))
(+.f32 (fma.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 normAngle (.f32 normAngle (.f32 u u)))) (-.f32 (sin.f32 normAngle) (.f32 (cos.f32 normAngle) (.f32 normAngle u)))) (.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (*.f32 (cos.f32 normAngle) 1/6)))
(+.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 normAngle) (.f32 -1/2 (.f32 u (.f32 u (.f32 normAngle normAngle)))) (.f32 (cos.f32 normAngle) (-.f32 (.f32 1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (.f32 normAngle u)))))
(fma.f32 (+.f32 (.f32 -1/2 (.f32 (.f32 u u) (.f32 normAngle normAngle))) 1) (sin.f32 normAngle) (.f32 (cos.f32 normAngle) (fma.f32 1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (*.f32 normAngle (neg.f32 u)))))
(.f32 (+.f32 1 (.f32 -1 u)) normAngle)
(*.f32 normAngle (+.f32 1 (neg.f32 u)))
(fma.f32 u (neg.f32 normAngle) normAngle)
(*.f32 normAngle (-.f32 1 u))
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle) (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (*.f32 -1 u)) 3) (pow.f32 normAngle 3))))
(fma.f32 (+.f32 1 (neg.f32 u)) normAngle (.f32 -1/6 (.f32 (pow.f32 normAngle 3) (pow.f32 (+.f32 1 (neg.f32 u)) 3))))
(fma.f32 normAngle (-.f32 1 u) (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 (pow.f32 normAngle 3) -1/6)))
(fma.f32 (pow.f32 (-.f32 1 u) 3) (.f32 (pow.f32 normAngle 3) -1/6) (.f32 normAngle (-.f32 1 u)))
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle) (+.f32 (.f32 1/120 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 5) (pow.f32 normAngle 5))) (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 3) (pow.f32 normAngle 3)))))
(fma.f32 (+.f32 1 (neg.f32 u)) normAngle (fma.f32 1/120 (.f32 (pow.f32 (+.f32 1 (neg.f32 u)) 5) (pow.f32 normAngle 5)) (.f32 -1/6 (*.f32 (pow.f32 normAngle 3) (pow.f32 (+.f32 1 (neg.f32 u)) 3)))))
(fma.f32 normAngle (-.f32 1 u) (fma.f32 -1/6 (.f32 (pow.f32 normAngle 3) (pow.f32 (-.f32 1 u) 3)) (.f32 (pow.f32 (-.f32 1 u) 5) (*.f32 1/120 (pow.f32 normAngle 5)))))
(fma.f32 normAngle (-.f32 1 u) (fma.f32 (pow.f32 (-.f32 1 u) 3) (.f32 (pow.f32 normAngle 3) -1/6) (.f32 (pow.f32 (-.f32 1 u) 5) (*.f32 1/120 (pow.f32 normAngle 5)))))
(fma.f32 (pow.f32 normAngle 3) (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (fma.f32 (pow.f32 (-.f32 1 u) 5) (.f32 1/120 (pow.f32 normAngle 5)) (*.f32 normAngle (-.f32 1 u))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 7) (pow.f32 normAngle 7))) (+.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle) (+.f32 (.f32 1/120 (.f32 (pow.f32 (+.f32 1 (.f32 -1 u)) 5) (pow.f32 normAngle 5))) (.f32 -1/6 (.f32 (pow.f32 (+.f32 1 (*.f32 -1 u)) 3) (pow.f32 normAngle 3))))))
(fma.f32 -1/5040 (.f32 (pow.f32 (+.f32 1 (neg.f32 u)) 7) (pow.f32 normAngle 7)) (fma.f32 (+.f32 1 (neg.f32 u)) normAngle (fma.f32 1/120 (.f32 (pow.f32 (+.f32 1 (neg.f32 u)) 5) (pow.f32 normAngle 5)) (.f32 -1/6 (.f32 (pow.f32 normAngle 3) (pow.f32 (+.f32 1 (neg.f32 u)) 3))))))
(fma.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) (pow.f32 normAngle 7)) (fma.f32 normAngle (-.f32 1 u) (fma.f32 -1/6 (.f32 (pow.f32 normAngle 3) (pow.f32 (-.f32 1 u) 3)) (.f32 (pow.f32 (-.f32 1 u) 5) (.f32 1/120 (pow.f32 normAngle 5))))))
(fma.f32 normAngle (-.f32 1 u) (fma.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) (pow.f32 normAngle 7)) (fma.f32 (pow.f32 (-.f32 1 u) 3) (.f32 (pow.f32 normAngle 3) -1/6) (.f32 (pow.f32 (-.f32 1 u) 5) (.f32 1/120 (pow.f32 normAngle 5))))))
(fma.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) (pow.f32 normAngle 7)) (fma.f32 (pow.f32 normAngle 3) (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (fma.f32 (pow.f32 (-.f32 1 u) 5) (.f32 1/120 (pow.f32 normAngle 5)) (.f32 normAngle (-.f32 1 u)))))
(sin.f32 (fma.f32 u (*.f32 -1 normAngle) normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(sin.f32 (fma.f32 u (*.f32 -1 normAngle) normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(sin.f32 (fma.f32 u (*.f32 -1 normAngle) normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(sin.f32 (fma.f32 u (*.f32 -1 normAngle) normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
normAngle
(+.f32 (*.f32 -1/6 (pow.f32 normAngle 3)) normAngle)
(fma.f32 -1/6 (pow.f32 normAngle 3) normAngle)
(fma.f32 (pow.f32 normAngle 3) -1/6 normAngle)
(+.f32 (.f32 1/120 (pow.f32 normAngle 5)) (+.f32 (.f32 -1/6 (pow.f32 normAngle 3)) normAngle))
(fma.f32 1/120 (pow.f32 normAngle 5) (fma.f32 -1/6 (pow.f32 normAngle 3) normAngle))
(fma.f32 1/120 (pow.f32 normAngle 5) (fma.f32 (pow.f32 normAngle 3) -1/6 normAngle))
(fma.f32 (pow.f32 normAngle 3) -1/6 (fma.f32 1/120 (pow.f32 normAngle 5) normAngle))
(+.f32 (.f32 1/120 (pow.f32 normAngle 5)) (+.f32 (.f32 -1/5040 (pow.f32 normAngle 7)) (+.f32 (*.f32 -1/6 (pow.f32 normAngle 3)) normAngle)))
(fma.f32 1/120 (pow.f32 normAngle 5) (fma.f32 -1/5040 (pow.f32 normAngle 7) (fma.f32 -1/6 (pow.f32 normAngle 3) normAngle)))
(fma.f32 1/120 (pow.f32 normAngle 5) (fma.f32 -1/5040 (pow.f32 normAngle 7) (fma.f32 (pow.f32 normAngle 3) -1/6 normAngle)))

localize96.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle))))))
✓	0.1b	(.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle)))))
✓	10.0b	(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
✓	11.6b	(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))

Compiler

Compiled 111 to 26 computations (76.6% saved)

series36.0ms (0.2%)

Counts

4 → 83

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	n1_i	@	0	(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
3.0ms	n1_i	@	inf	(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle))))))
3.0ms	u	@	0	(.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle)))))
2.0ms	n0_i	@	0	(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
1.0ms	normAngle	@	-inf	(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))

rewrite171.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

526×	`fma-def_binary32`
375×	`fma-neg_binary32`
325×	`expm1-udef_binary32`
325×	`log1p-udef_binary32`
197×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	86
1	375	74
2	5975	74

Stop Event

1×	node limit

Counts

4 → 231

Calls

Call 1

Inputs
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle)))))
(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cos.f32 normAngle) (/.f32 1 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cos.f32 normAngle) (.f32 (.f32 normAngle n0_i) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 normAngle n0_i) (.f32 (cos.f32 normAngle) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i)) (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i)) (neg.f32 (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i)) (.f32 (/.f32 1 (sin.f32 normAngle)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i))) 2) (.f32 (cbrt.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i))) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) (cbrt.f32 (pow.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) 2)) (cbrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) 2)) (neg.f32 (cbrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i))) (.f32 (sqrt.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i))) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) (sqrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) (neg.f32 (sqrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) (.f32 (sqrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sin.f32 normAngle)) (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 normAngle n0_i) (neg.f32 (cos.f32 normAngle))) (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 normAngle n0_i) (neg.f32 (cos.f32 normAngle))) (/.f32 1 (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cos.f32 normAngle) n0_i) (.f32 normAngle (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (sqrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)))) (sqrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1 (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i)) (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1 (sqrt.f32 (sin.f32 normAngle))) (/.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i)) (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cos.f32 normAngle) 1) (/.f32 (.f32 normAngle n0_i) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 normAngle n0_i) 1) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 normAngle n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i))) 2) 1) (/.f32 (cbrt.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i))) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i))) 1) (/.f32 (sqrt.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i))) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 (cos.f32 normAngle) n0_i) 1) (/.f32 normAngle (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cos.f32 normAngle) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 (.f32 normAngle n0_i) (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 normAngle n0_i) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 (cos.f32 normAngle) (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i)) (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i))) 2) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (cbrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i))) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 (sqrt.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i))) (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 normAngle (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cos.f32 normAngle) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (.f32 normAngle n0_i) (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 normAngle n0_i) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cos.f32 normAngle) (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sqrt.f32 (sin.f32 normAngle))) (/.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i)) (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i))) 2) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i))) (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sqrt.f32 (sin.f32 normAngle))) (/.f32 normAngle (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (cbrt.f32 (pow.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) 2))) (cbrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 -1 (cbrt.f32 (pow.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) 2))) (cbrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 -1 (sqrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)))) (sqrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle) (cos.f32 normAngle)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i)) (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i)) 3) (pow.f32 (sin.f32 normAngle) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 normAngle (.f32 n1_i (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 n1_i (/.f32 1 (/.f32 (sin.f32 normAngle) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 n1_i (.f32 normAngle (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 normAngle n1_i) (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle)) (cbrt.f32 (pow.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) 2)) (cbrt.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 normAngle n1_i)) 2) (.f32 (cbrt.f32 (.f32 normAngle n1_i)) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle)) (sqrt.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 normAngle n1_i)) (.f32 (sqrt.f32 (.f32 normAngle n1_i)) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 normAngle (neg.f32 n1_i)) (/.f32 1 (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sin.f32 normAngle)) (.f32 normAngle n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 (.f32 normAngle n1_i) (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sqrt.f32 (sin.f32 normAngle))) (/.f32 (.f32 normAngle n1_i) (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 normAngle (sqrt.f32 (sin.f32 normAngle))) (/.f32 n1_i (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 normAngle 1) (/.f32 n1_i (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 n1_i 1) (/.f32 normAngle (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 normAngle n1_i)) 2) 1) (/.f32 (cbrt.f32 (.f32 normAngle n1_i)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (.f32 normAngle n1_i)) 1) (/.f32 (sqrt.f32 (.f32 normAngle n1_i)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 normAngle (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 n1_i (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 n1_i (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 normAngle (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 normAngle n1_i)) 2) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (cbrt.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (.f32 normAngle n1_i)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 (sqrt.f32 (.f32 normAngle n1_i)) (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 n1_i (sqrt.f32 (sin.f32 normAngle))) (/.f32 normAngle (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 normAngle n1_i)) 2) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (.f32 normAngle n1_i)) (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 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(#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) u)) (sqrt.f32 (.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) u)) (fma.f32 u (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 u) (sqrt.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle))) (.f32 (sqrt.f32 u) (sqrt.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle))) (fma.f32 u (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle)) (sqrt.f32 u)) (.f32 (sqrt.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle)) (sqrt.f32 u)) (fma.f32 u (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (.f32 normAngle n1_i)) (/.f32 1 (sin.f32 normAngle)) (fma.f32 u (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (cbrt.f32 (pow.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) 2))) (cbrt.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle)) (fma.f32 u (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (sqrt.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle))) (sqrt.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle)) (fma.f32 u (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (pow.f32 (cbrt.f32 (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 normAngle n0_i) (neg.f32 (cos.f32 normAngle)))) (sin.f32 normAngle))) 2)) (cbrt.f32 (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 normAngle n0_i) (neg.f32 (cos.f32 normAngle)))) (sin.f32 normAngle))) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (sqrt.f32 (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 normAngle n0_i) (neg.f32 (cos.f32 normAngle)))) (sin.f32 normAngle)))) (sqrt.f32 (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 normAngle n0_i) (neg.f32 (cos.f32 normAngle)))) (sin.f32 normAngle))) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 normAngle n0_i) (neg.f32 (cos.f32 normAngle)))) (sin.f32 normAngle)) (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 normAngle n0_i) (neg.f32 (cos.f32 normAngle)))) (sin.f32 normAngle)) (sqrt.f32 u)) (sqrt.f32 u) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) (fma.f32 u (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (sqrt.f32 u)) (sqrt.f32 u) (fma.f32 u (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle)) n0_i))))))

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

903×	`fma-neg_binary32`
685×	`fma-def_binary32`
580×	`unsub-neg_binary32`
386×	`associate-l_binary32`
384×	`associate-r_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	2725
1	424	2423
2	1400	1998
3	6186	1989

Stop Event

1×	node limit

Counts

314 → 283

Calls

Call 1

Inputs
n0_i
(+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) (pow.f32 normAngle 2)) n0_i)
(+.f32 (.f32 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) (pow.f32 normAngle 2)) n0_i))
(+.f32 (.f32 (-.f32 (.f32 -1/720 n0_i) (+.f32 (.f32 -1/5040 n0_i) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))))))) (pow.f32 normAngle 6)) (+.f32 (.f32 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) (pow.f32 normAngle 2)) n0_i)))
n1_i
(+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) (pow.f32 normAngle 4))) (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) (pow.f32 normAngle 4))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (+.f32 (.f32 -1/5040 n1_i) (.f32 1/720 n1_i))) (pow.f32 normAngle 6))) (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2))))))
(.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(.f32 (+.f32 n1_i (.f32 -1 n0_i)) u)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) (.f32 (-.f32 (.f32 -1 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 n1_i)) (.f32 u (pow.f32 normAngle 2))))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) (+.f32 (.f32 (-.f32 (.f32 -1 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 n1_i)) (.f32 u (pow.f32 normAngle 2))) (.f32 u (.f32 (pow.f32 normAngle 4) (-.f32 (.f32 -1 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i)))))) (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)))))))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) (+.f32 (.f32 (-.f32 (.f32 -1 (-.f32 (.f32 -1/720 n0_i) (+.f32 (.f32 -1/5040 n0_i) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i)))))))))) (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (+.f32 (.f32 -1/5040 n1_i) (.f32 1/720 n1_i)))) (.f32 u (pow.f32 normAngle 6))) (+.f32 (.f32 (-.f32 (.f32 -1 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 n1_i)) (.f32 u (pow.f32 normAngle 2))) (.f32 u (.f32 (pow.f32 normAngle 4) (-.f32 (.f32 -1 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i)))))) (+.f32 (.f32 1/120 n1_i) (*.f32 -1/36 n1_i))))))))
(.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle))) (.f32 u normAngle))
(.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle))) (.f32 u normAngle))
(.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle))) (.f32 u normAngle))
(.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle))) (.f32 u normAngle))
(.f32 -1 (.f32 (+.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(.f32 -1 (.f32 (+.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(.f32 -1 (.f32 (+.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(.f32 -1 (.f32 (+.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1))))
n0_i
(.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle)))))
(.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle)))))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) (+.f32 n0_i (.f32 (-.f32 (.f32 -1 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 n1_i)) (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) (+.f32 n0_i (+.f32 (.f32 (-.f32 (.f32 -1 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 n1_i)) (.f32 u (pow.f32 normAngle 2))) (.f32 u (.f32 (pow.f32 normAngle 4) (-.f32 (.f32 -1 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i)))))) (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))))))))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) (+.f32 (.f32 (-.f32 (.f32 -1 (-.f32 (.f32 -1/720 n0_i) (+.f32 (.f32 -1/5040 n0_i) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i)))))))))) (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (+.f32 (.f32 -1/5040 n1_i) (.f32 1/720 n1_i)))) (.f32 u (pow.f32 normAngle 6))) (+.f32 n0_i (+.f32 (.f32 (-.f32 (.f32 -1 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 n1_i)) (.f32 u (pow.f32 normAngle 2))) (.f32 u (.f32 (pow.f32 normAngle 4) (-.f32 (.f32 -1 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i)))))) (+.f32 (.f32 1/120 n1_i) (*.f32 -1/36 n1_i)))))))))
(.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle))) (.f32 u normAngle))
(+.f32 n0_i (.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle))) (.f32 u normAngle)))
(+.f32 n0_i (.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle))) (.f32 u normAngle)))
(+.f32 n0_i (.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle))) (.f32 u normAngle)))
(.f32 -1 (.f32 (+.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 n0_i (.f32 -1 (.f32 (+.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))))
(+.f32 n0_i (.f32 -1 (.f32 (+.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))))
(+.f32 n0_i (.f32 -1 (.f32 (+.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))))

Outputs
n0_i
(+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) (pow.f32 normAngle 2)) n0_i)
(fma.f32 (.f32 n0_i -1/3) (.f32 normAngle normAngle) n0_i)
(+.f32 (.f32 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) (pow.f32 normAngle 2)) n0_i))
(fma.f32 (-.f32 (.f32 n0_i 1/24) (fma.f32 1/120 n0_i (.f32 -1/6 (.f32 n0_i -1/3)))) (pow.f32 normAngle 4) (fma.f32 (.f32 n0_i -1/3) (*.f32 normAngle normAngle) n0_i))
(fma.f32 (-.f32 (.f32 n0_i 1/30) (.f32 n0_i 1/18)) (pow.f32 normAngle 4) (fma.f32 (.f32 n0_i -1/3) (.f32 normAngle normAngle) n0_i))
(fma.f32 (.f32 n0_i -1/45) (pow.f32 normAngle 4) (fma.f32 (.f32 n0_i -1/3) (*.f32 normAngle normAngle) n0_i))
(+.f32 (.f32 (-.f32 (.f32 -1/720 n0_i) (+.f32 (.f32 -1/5040 n0_i) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))))))) (pow.f32 normAngle 6)) (+.f32 (.f32 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) (pow.f32 normAngle 2)) n0_i)))
(fma.f32 (-.f32 (.f32 n0_i -1/720) (fma.f32 -1/5040 n0_i (fma.f32 1/120 (.f32 n0_i -1/3) (.f32 -1/6 (-.f32 (.f32 n0_i 1/24) (fma.f32 1/120 n0_i (.f32 -1/6 (.f32 n0_i -1/3)))))))) (pow.f32 normAngle 6) (fma.f32 (-.f32 (.f32 n0_i 1/24) (fma.f32 1/120 n0_i (.f32 -1/6 (.f32 n0_i -1/3)))) (pow.f32 normAngle 4) (fma.f32 (.f32 n0_i -1/3) (*.f32 normAngle normAngle) n0_i)))
(fma.f32 (-.f32 (.f32 n0_i -1/840) (fma.f32 -1/6 (-.f32 (.f32 n0_i 1/30) (.f32 n0_i 1/18)) (.f32 n0_i -1/360))) (pow.f32 normAngle 6) (fma.f32 (-.f32 (.f32 n0_i 1/30) (.f32 n0_i 1/18)) (pow.f32 normAngle 4) (fma.f32 (.f32 n0_i -1/3) (.f32 normAngle normAngle) n0_i)))
(fma.f32 (+.f32 (.f32 n0_i 1/630) (.f32 (.f32 n0_i -1/45) 1/6)) (pow.f32 normAngle 6) (fma.f32 (.f32 n0_i -1/45) (pow.f32 normAngle 4) (fma.f32 (.f32 n0_i -1/3) (.f32 normAngle normAngle) n0_i)))
(fma.f32 (fma.f32 n0_i 1/630 (.f32 (.f32 n0_i -1/45) 1/6)) (pow.f32 normAngle 6) (fma.f32 (.f32 n0_i -1/45) (pow.f32 normAngle 4) (fma.f32 (.f32 n0_i -1/3) (*.f32 normAngle normAngle) n0_i)))
n1_i
(+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 n1_i (.f32 1/6 (.f32 (*.f32 normAngle normAngle) n1_i)))
(fma.f32 1/6 (.f32 normAngle (.f32 normAngle n1_i)) n1_i)
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) (pow.f32 normAngle 4))) (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))))
(fma.f32 -1 (.f32 (pow.f32 normAngle 4) (.f32 n1_i -7/360)) (+.f32 n1_i (.f32 1/6 (.f32 (*.f32 normAngle normAngle) n1_i))))
(fma.f32 (.f32 n1_i 7/360) (pow.f32 normAngle 4) (fma.f32 1/6 (.f32 normAngle (*.f32 normAngle n1_i)) n1_i))
(fma.f32 (pow.f32 normAngle 4) (.f32 n1_i 7/360) (fma.f32 1/6 (.f32 normAngle (*.f32 normAngle n1_i)) n1_i))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) (pow.f32 normAngle 4))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (+.f32 (.f32 -1/5040 n1_i) (.f32 1/720 n1_i))) (pow.f32 normAngle 6))) (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2))))))
(fma.f32 -1 (.f32 (pow.f32 normAngle 4) (.f32 n1_i -7/360)) (fma.f32 -1 (.f32 (pow.f32 normAngle 6) (fma.f32 1/6 (.f32 n1_i -7/360) (.f32 n1_i 1/840))) (+.f32 n1_i (.f32 1/6 (.f32 (.f32 normAngle normAngle) n1_i)))))
(fma.f32 (.f32 n1_i 7/360) (pow.f32 normAngle 4) (-.f32 (fma.f32 1/6 (.f32 normAngle (.f32 normAngle n1_i)) n1_i) (.f32 (pow.f32 normAngle 6) (fma.f32 n1_i 1/840 (*.f32 n1_i -7/2160)))))
(fma.f32 (pow.f32 normAngle 6) (neg.f32 (.f32 n1_i -31/15120)) (fma.f32 (pow.f32 normAngle 4) (.f32 n1_i 7/360) (fma.f32 1/6 (.f32 normAngle (.f32 normAngle n1_i)) n1_i)))
(.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle)))
(neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u (.f32 n0_i normAngle)))))
(/.f32 (neg.f32 (cos.f32 normAngle)) (/.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)) n0_i))
(.f32 n0_i (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 normAngle (neg.f32 u))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(+.f32 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u (.f32 n0_i normAngle))))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u))))
(-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle u)) n0_i)))
(.f32 (.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(+.f32 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u (.f32 n0_i normAngle))))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u))))
(-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle u)) n0_i)))
(.f32 (.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(+.f32 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u (.f32 n0_i normAngle))))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u))))
(-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle u)) n0_i)))
(.f32 (.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)))
(.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)) n1_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u (.f32 n0_i normAngle))))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u))))
(-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle u)) n0_i)))
(.f32 (.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u (.f32 n0_i normAngle))))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u))))
(-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle u)) n0_i)))
(.f32 (.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u (.f32 n0_i normAngle))))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u))))
(-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle u)) n0_i)))
(.f32 (.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)))
(.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)) n1_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u (.f32 n0_i normAngle))))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u))))
(-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle u)) n0_i)))
(.f32 (.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u (.f32 n0_i normAngle))))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u))))
(-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle u)) n0_i)))
(.f32 (.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u (.f32 n0_i normAngle))))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u))))
(-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle u)) n0_i)))
(.f32 (.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(.f32 (+.f32 n1_i (.f32 -1 n0_i)) u)
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) (.f32 (-.f32 (.f32 -1 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 n1_i)) (.f32 u (pow.f32 normAngle 2))))
(fma.f32 (+.f32 n1_i (neg.f32 n0_i)) u (.f32 (+.f32 (neg.f32 (.f32 n0_i -1/3)) (.f32 1/6 n1_i)) (.f32 (*.f32 normAngle normAngle) u)))
(fma.f32 u (-.f32 n1_i n0_i) (.f32 (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6)) (.f32 (*.f32 normAngle normAngle) u)))
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i 1/3 (.f32 n1_i 1/6)))))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) (+.f32 (.f32 (-.f32 (.f32 -1 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 n1_i)) (.f32 u (pow.f32 normAngle 2))) (.f32 u (.f32 (pow.f32 normAngle 4) (-.f32 (.f32 -1 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i)))))) (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)))))))
(fma.f32 (+.f32 n1_i (neg.f32 n0_i)) u (fma.f32 (+.f32 (neg.f32 (.f32 n0_i -1/3)) (.f32 1/6 n1_i)) (.f32 (.f32 normAngle normAngle) u) (.f32 (.f32 u (pow.f32 normAngle 4)) (-.f32 (neg.f32 (-.f32 (.f32 n0_i 1/24) (fma.f32 1/120 n0_i (.f32 -1/6 (.f32 n0_i -1/3))))) (.f32 n1_i -7/360)))))
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 u (.f32 (pow.f32 normAngle 4) (fma.f32 (-.f32 (.f32 n0_i 1/30) (.f32 n0_i 1/18)) -1 (.f32 n1_i 7/360))) (.f32 (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6)) (.f32 (*.f32 normAngle normAngle) u))))
(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n0_i 1/3 (.f32 n1_i 1/6))) (.f32 u (+.f32 (.f32 (pow.f32 normAngle 4) (-.f32 (.f32 n1_i 7/360) (*.f32 n0_i -1/45))) (-.f32 n1_i n0_i))))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) (+.f32 (.f32 (-.f32 (.f32 -1 (-.f32 (.f32 -1/720 n0_i) (+.f32 (.f32 -1/5040 n0_i) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i)))))))))) (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (+.f32 (.f32 -1/5040 n1_i) (.f32 1/720 n1_i)))) (.f32 u (pow.f32 normAngle 6))) (+.f32 (.f32 (-.f32 (.f32 -1 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 n1_i)) (.f32 u (pow.f32 normAngle 2))) (.f32 u (.f32 (pow.f32 normAngle 4) (-.f32 (.f32 -1 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i)))))) (+.f32 (.f32 1/120 n1_i) (*.f32 -1/36 n1_i))))))))
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n0_i
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(+.f32 (fma.f32 (neg.f32 (+.f32 (-.f32 (.f32 n0_i -1/840) (fma.f32 -1/6 (-.f32 (.f32 n0_i 1/30) (.f32 n0_i 1/18)) (.f32 n0_i -1/360))) (fma.f32 n1_i 1/840 (.f32 n1_i -7/2160)))) (.f32 (pow.f32 normAngle 6) u) n0_i) (fma.f32 u (-.f32 n1_i n0_i) (fma.f32 u (.f32 (pow.f32 normAngle 4) (fma.f32 (-.f32 (.f32 n0_i 1/30) (.f32 n0_i 1/18)) -1 (.f32 n1_i 7/360))) (.f32 (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6)) (.f32 (*.f32 normAngle normAngle) u)))))
(fma.f32 u (.f32 (pow.f32 normAngle 6) (-.f32 (neg.f32 (.f32 n1_i -31/15120)) (+.f32 (.f32 n0_i 1/630) (.f32 (.f32 n0_i -1/45) 1/6)))) (fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (-.f32 (.f32 n1_i 7/360) (.f32 n0_i -1/45)) (.f32 (pow.f32 normAngle 4) u) (fma.f32 u (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) n0_i))))
(+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n0_i 1/3 (.f32 n1_i 1/6))) (.f32 u (-.f32 (.f32 (pow.f32 normAngle 4) (-.f32 (.f32 n1_i 7/360) (.f32 n0_i -1/45))) (.f32 (pow.f32 normAngle 6) (+.f32 (fma.f32 n0_i 1/630 (.f32 (.f32 n0_i -1/45) 1/6)) (*.f32 n1_i -31/15120)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle))) (.f32 u normAngle))
(+.f32 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u (.f32 n0_i normAngle))))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u))))
(-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle u)) n0_i)))
(.f32 (.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle))) (.f32 u normAngle)))
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))) (.f32 n0_i (+.f32 1 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)))))))
(fma.f32 n0_i (-.f32 1 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle u)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))))
(fma.f32 normAngle (.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))) n0_i)
(+.f32 n0_i (.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle))) (.f32 u normAngle)))
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))) (.f32 n0_i (+.f32 1 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)))))))
(fma.f32 n0_i (-.f32 1 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle u)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))))
(fma.f32 normAngle (.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))) n0_i)
(+.f32 n0_i (.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle))) (.f32 u normAngle)))
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))) (.f32 n0_i (+.f32 1 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)))))))
(fma.f32 n0_i (-.f32 1 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle u)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))))
(fma.f32 normAngle (.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))) n0_i)
(.f32 -1 (.f32 (+.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u (.f32 n0_i normAngle))))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u))))
(-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle u)) n0_i)))
(.f32 (.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (.f32 -1 (.f32 (+.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))))
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))) (.f32 n0_i (+.f32 1 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)))))))
(fma.f32 n0_i (-.f32 1 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle u)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))))
(fma.f32 normAngle (.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 (+.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))))
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))) (.f32 n0_i (+.f32 1 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)))))))
(fma.f32 n0_i (-.f32 1 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle u)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))))
(fma.f32 normAngle (.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 (+.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))))
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))) (.f32 n0_i (+.f32 1 (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)))))))
(fma.f32 n0_i (-.f32 1 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle u)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 normAngle u))))
(fma.f32 normAngle (.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))) n0_i)

eval342.0ms (2.1%)

Compiler: Compiled 19167 to 6720 computations (64.9% saved)

prune158.0ms (1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	885	15	900
Fresh	8	3	11
Picked	1	0	1
Done	3	1	4
Total	897	19	916

Error

Counts

916 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	13.9b	(fma.f32 (.f32 (.f32 normAngle normAngle) -1/6) (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 -1 u))) (-.f32 n0_i (.f32 n0_i u)))
	5.4b	(fma.f32 u n1_i n0_i)
	9.1b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	9.8b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	0.5b	(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
	24.5b	(-.f32 (+.f32 1 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))) 1)
	14.0b	(-.f32 n0_i (*.f32 u n0_i))
	1.2b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
▶	0.5b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	0.6b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 u 1)))
✓	0.6b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	5.4b	(+.f32 (*.f32 n1_i u) n0_i)
	5.3b	(+.f32 n0_i (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
▶	0.4b	(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i 1/3 (.f32 n1_i 1/6))))))
	14.0b	(*.f32 (-.f32 1 u) n0_i)
▶	14.4b	(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i (sin.f32 normAngle)))
▶	13.9b	(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
▶	19.9b	(*.f32 u n1_i)
	16.7b	n0_i

Compiler

Compiled 524 to 351 computations (33% saved)

localize64.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i 1/3 (.f32 n1_i 1/6)))))
✓	0.1b	(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))
✓	0.3b	(fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))
✓	0.3b	(*.f32 n1_i 1/6)

Compiler

Compiled 83 to 40 computations (51.8% saved)

series17.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	u	@	0	(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i 1/3 (.f32 n1_i 1/6)))))
1.0ms	normAngle	@	0	(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))
1.0ms	normAngle	@	inf	(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))
1.0ms	n0_i	@	-inf	(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i 1/3 (.f32 n1_i 1/6)))))
1.0ms	u	@	inf	(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i 1/3 (.f32 n1_i 1/6)))))

rewrite123.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`log-prod_binary32`
663×	`fma-def_binary32`
307×	`fma-neg_binary32`
279×	`expm1-udef_binary32`
279×	`log1p-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	311	47
2	4399	47

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

Inputs
(*.f32 n1_i 1/6)
(fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i 1/3 (.f32 n1_i 1/6)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 n1_i 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 n1_i) 1/6)) (cbrt.f32 (pow.f32 (exp.f32 n1_i) 1/6)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 n1_i) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 n1_i) 1/6))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 n1_i) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 n1_i 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 n1_i 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 n1_i 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 n1_i 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 n1_i 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 n1_i 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 n1_i) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 n1_i 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 n1_i 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 n1_i 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 n1_i 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (*.f32 n1_i 1/6)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 n0_i 1/3) 1) (.f32 n1_i 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))) (cbrt.f32 (exp.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))))) (log.f32 (cbrt.f32 (exp.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))) (log.f32 (sqrt.f32 (exp.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))) (pow.f32 (cbrt.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))) 2) (cbrt.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))) (sqrt.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 n0_i 1/3) 3) (pow.f32 (.f32 n1_i 1/6) 3)) (fma.f32 (.f32 n0_i 1/3) (.f32 n0_i 1/3) (-.f32 (pow.f32 (.f32 n1_i 1/6) 2) (.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (.f32 n0_i 1/3) (.f32 n0_i 1/3)) (pow.f32 (.f32 n1_i 1/6) 2)) (-.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (pow.f32 (exp.f32 n1_i) 1/6) (exp.f32 (.f32 n0_i 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 n1_i 1/6))) (exp.f32 (.f32 n0_i 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (exp.f32 (.f32 n0_i 1/3)) (+.f32 1 (expm1.f32 (.f32 n1_i 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))) 1))))))
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(.f32 normAngle normAngle) (.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) u))) (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u (-.f32 n1_i n0_i))) (sqrt.f32 (.f32 u (-.f32 n1_i n0_i))) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) u))) (sqrt.f32 (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) u))) (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 (-.f32 n1_i n0_i)) (sqrt.f32 u)) (.f32 (sqrt.f32 (-.f32 n1_i n0_i)) (sqrt.f32 u)) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 normAngle (sqrt.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))) (sqrt.f32 u)) (.f32 (.f32 normAngle (sqrt.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))) (sqrt.f32 u)) (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 u) (sqrt.f32 (-.f32 n1_i n0_i))) (.f32 (sqrt.f32 u) (sqrt.f32 (-.f32 n1_i n0_i))) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 u) (.f32 normAngle (sqrt.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))) (.f32 (sqrt.f32 u) (.f32 normAngle (sqrt.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))) (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (-.f32 n1_i n0_i) (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (-.f32 n1_i n0_i) (sqrt.f32 u)) (sqrt.f32 u) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) (.f32 normAngle normAngle)) (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) (.f32 normAngle normAngle)) (sqrt.f32 u)) (sqrt.f32 u) (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (cbrt.f32 (pow.f32 (-.f32 n1_i n0_i) 2))) (cbrt.f32 (-.f32 n1_i n0_i)) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (sqrt.f32 (-.f32 n1_i n0_i))) (sqrt.f32 (-.f32 n1_i n0_i)) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))) (.f32 normAngle normAngle) (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u normAngle) (.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) normAngle) (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (.f32 normAngle normAngle)) (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (pow.f32 (cbrt.f32 (.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) (.f32 normAngle normAngle))) 2)) (cbrt.f32 (.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) (.f32 normAngle normAngle))) (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (.f32 normAngle (sqrt.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3))))) (.f32 normAngle (sqrt.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)))) (.f32 u (-.f32 n1_i n0_i)))))))

simplify237.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

477×	`unsub-neg_binary32`
462×	`unswap-sqr_binary32`
447×	`sub-neg_binary32`
397×	`distribute-rgt-neg-in_binary32`
290×	`distribute-lft-neg-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	1646
1	146	1646
2	426	1640
3	1528	1640
4	3123	1640
5	4913	1640
6	6513	1640
7	7449	1640
8	7888	1640

Stop Event

1×	node limit

Counts

250 → 161

Calls

Call 1

Inputs
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(*.f32 1/3 n0_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(*.f32 1/3 n0_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(*.f32 1/3 n0_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(*.f32 1/6 n1_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(*.f32 1/6 n1_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (-.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i)) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i)) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i)) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i)) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 1/3 (*.f32 n0_i (pow.f32 normAngle 2))) n0_i) u)
(+.f32 (.f32 (-.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) n0_i) u) (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) n0_i) u) (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) n0_i) u) (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)))
(.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u))
(+.f32 (.f32 (-.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) n0_i) u) (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) n0_i) u) (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) n0_i) u) (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)))
(.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) n0_i) u) (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u))))
(+.f32 (.f32 (-.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) n0_i) u) (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u))))
(+.f32 (.f32 (-.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) n0_i) u) (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u))))
(.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(+.f32 (.f32 (-.f32 (.f32 1/3 (pow.f32 normAngle 2)) 1) (.f32 n0_i u)) (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 (.f32 (-.f32 (.f32 1/3 (pow.f32 normAngle 2)) 1) (.f32 n0_i u)) (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 (.f32 (-.f32 (.f32 1/3 (pow.f32 normAngle 2)) 1) (.f32 n0_i u)) (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u))
(.f32 (-.f32 (.f32 1/3 (pow.f32 normAngle 2)) 1) (*.f32 n0_i u))
(+.f32 (.f32 (-.f32 (.f32 1/3 (pow.f32 normAngle 2)) 1) (.f32 n0_i u)) (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 (.f32 (-.f32 (.f32 1/3 (pow.f32 normAngle 2)) 1) (.f32 n0_i u)) (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 (.f32 (-.f32 (.f32 1/3 (pow.f32 normAngle 2)) 1) (.f32 n0_i u)) (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u))
(.f32 -1 (.f32 (+.f32 1 (.f32 -1/3 (pow.f32 normAngle 2))) (.f32 u n0_i)))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (.f32 (+.f32 1 (.f32 -1/3 (pow.f32 normAngle 2))) (*.f32 u n0_i))))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (.f32 (+.f32 1 (.f32 -1/3 (pow.f32 normAngle 2))) (*.f32 u n0_i))))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (.f32 (+.f32 1 (.f32 -1/3 (pow.f32 normAngle 2))) (*.f32 u n0_i))))
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 u (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 u (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 u (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)))))
(.f32 u (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 u (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 u (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 u (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)))))
(.f32 u (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 u (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 u (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 u (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)))))

Outputs
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(*.f32 1/6 n1_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(*.f32 1/3 n0_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(*.f32 1/3 n0_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(*.f32 1/3 n0_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(*.f32 1/6 n1_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(*.f32 1/6 n1_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2)))
(.f32 1/3 (.f32 n0_i (*.f32 normAngle normAngle)))
(.f32 normAngle (.f32 1/3 (*.f32 n0_i normAngle)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2)))
(.f32 1/3 (.f32 n0_i (*.f32 normAngle normAngle)))
(.f32 normAngle (.f32 1/3 (*.f32 n0_i normAngle)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2)))
(.f32 1/3 (.f32 n0_i (*.f32 normAngle normAngle)))
(.f32 normAngle (.f32 1/3 (*.f32 n0_i normAngle)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (-.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))) n1_i) n0_i) u)
(.f32 (-.f32 (fma.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle) n1_i) n0_i) u)
(.f32 (-.f32 (fma.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i) u)
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(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 u (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)))))
(.f32 (-.f32 (fma.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle) n1_i) n0_i) u)
(.f32 (-.f32 (fma.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i) u)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 u (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)))))
(.f32 (-.f32 (fma.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle) n1_i) n0_i) u)
(.f32 (-.f32 (fma.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i) u)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 u (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)))))
(.f32 (-.f32 (fma.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle) n1_i) n0_i) u)
(.f32 (-.f32 (fma.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i) u)

localize9.0ms (0.1%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
✓	0.1b	(*.f32 (-.f32 n1_i n0_i) u)

Compiler

Compiled 22 to 7 computations (68.2% saved)

series42.0ms (0.3%)

Counts

2 → 51

Calls

18 calls:

Time	Variable		Point	Expression
34.0ms	n0_i	@	0	(*.f32 (-.f32 n1_i n0_i) u)
1.0ms	n1_i	@	-inf	(*.f32 (-.f32 n1_i n0_i) u)
1.0ms	n1_i	@	0	(*.f32 (-.f32 n1_i n0_i) u)
1.0ms	n0_i	@	inf	(*.f32 (-.f32 n1_i n0_i) u)
1.0ms	u	@	0	(*.f32 (-.f32 n1_i n0_i) u)

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`pow1_binary32`
883×	`add-log-exp_binary32`
883×	`log1p-expm1-u_binary32`
883×	`expm1-log1p-u_binary32`
864×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	159	15
2	2348	15

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 n1_i u) (*.f32 (neg.f32 n0_i) u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u n1_i) (*.f32 u (neg.f32 n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 (-.f32 n1_i n0_i) u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 n1_i 3) (pow.f32 n0_i 3)) u) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 n1_i n1_i) (*.f32 n0_i n0_i)) u) (+.f32 n1_i n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (-.f32 (pow.f32 n1_i 3) (pow.f32 n0_i 3))) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (-.f32 (*.f32 n1_i n1_i) (*.f32 n0_i n0_i))) (+.f32 n1_i n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (-.f32 n1_i n0_i) u)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (-.f32 n1_i n0_i) u)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u) (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (-.f32 n1_i n0_i) u)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (-.f32 n1_i n0_i) u)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (-.f32 n1_i n0_i) u)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (fma.f32 (-.f32 n1_i n0_i) u n0_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 2) (-.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)) (/.f32 (*.f32 n0_i n0_i) (-.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i)) (pow.f32 (cbrt.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i)) 2) (cbrt.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i)) (sqrt.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 n0_i 3) (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 3)) (/.f32 1 (+.f32 (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 2) (*.f32 n0_i (-.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 2) (*.f32 n0_i n0_i)) (/.f32 1 (-.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 2) (*.f32 n0_i (-.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)))) (+.f32 (pow.f32 n0_i 3) (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i) (-.f32 (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 2) (*.f32 n0_i n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 n0_i 3) (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 3)) (+.f32 (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 2) (*.f32 n0_i (-.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 n0_i 3) (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 3)) (+.f32 (*.f32 n0_i n0_i) (-.f32 (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 2) (*.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 2) (*.f32 n0_i n0_i)) (-.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 n0_i 3) (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 3))) (neg.f32 (+.f32 (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 2) (*.f32 n0_i (-.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 2) (*.f32 n0_i n0_i))) (neg.f32 (-.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 2)) (-.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u (-.f32 n1_i n0_i) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 n0_i (*.f32 (-.f32 n1_i n0_i) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 (-.f32 n1_i n0_i) u) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 (-.f32 n1_i n0_i) u)) 2) (cbrt.f32 (*.f32 (-.f32 n1_i n0_i) u)) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 n0_i) 2) (cbrt.f32 n0_i) (*.f32 (-.f32 n1_i n0_i) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 (-.f32 n1_i n0_i) u)) (sqrt.f32 (*.f32 (-.f32 n1_i n0_i) u)) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (*.f32 (-.f32 n1_i n0_i) u))))))

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

400×	`fma-def_binary32`
296×	`fma-neg_binary32`
64×	`cancel-sign-sub-inv_binary32`
58×	`distribute-rgt-in_binary32`
43×	`unsub-neg_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	483
1	71	384
2	126	348
3	195	348
4	355	348
5	656	348
6	1033	348
7	1272	348
8	1391	348
9	1393	348

Stop Event

1×

saturated

Counts

103 → 69

Calls

Call 1

Inputs
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(*.f32 n1_i u)
(+.f32 (.f32 -1 (.f32 u n0_i)) (*.f32 n1_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) (*.f32 n1_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) (*.f32 n1_i u))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(*.f32 n1_i u)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
n0_i
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)

Outputs
(.f32 -1 (.f32 n0_i u))
(*.f32 (neg.f32 u) n0_i)
(*.f32 u (neg.f32 n0_i))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) (*.f32 n1_i u))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (*.f32 n1_i u))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (*.f32 n1_i u))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(.f32 -1 (.f32 n0_i u))
(*.f32 (neg.f32 u) n0_i)
(*.f32 u (neg.f32 n0_i))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(.f32 -1 (.f32 n0_i u))
(*.f32 (neg.f32 u) n0_i)
(*.f32 u (neg.f32 n0_i))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(fma.f32 -1 (*.f32 n0_i u) n0_i)
(*.f32 n0_i (-.f32 1 u))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(fma.f32 -1 (*.f32 n0_i u) n0_i)
(*.f32 n0_i (-.f32 1 u))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(fma.f32 -1 (*.f32 n0_i u) n0_i)
(*.f32 n0_i (-.f32 1 u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(fma.f32 -1 (*.f32 n0_i u) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
n0_i
(*.f32 (-.f32 n1_i n0_i) u)
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) u)
(fma.f32 n1_i u (*.f32 (neg.f32 u) n0_i))
(*.f32 u (-.f32 n1_i n0_i))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f32 normAngle)
	0.0b	(/.f32 n0_i (sin.f32 normAngle))
✓	0.2b	(*.f32 normAngle (-.f32 1 u))
✓	0.3b	(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i (sin.f32 normAngle)))

Compiler

Compiled 32 to 16 computations (50% saved)

series8.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	normAngle	@	0	(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i (sin.f32 normAngle)))
1.0ms	normAngle	@	-inf	(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i (sin.f32 normAngle)))
1.0ms	normAngle	@	inf	(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i (sin.f32 normAngle)))
1.0ms	n0_i	@	0	(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i (sin.f32 normAngle)))
1.0ms	u	@	0	(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i (sin.f32 normAngle)))

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`log-prod_binary32`
398×	`pow-prod-down_binary32`
284×	`pow2_binary32`
206×	`pow-unpow_binary32`
201×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	210	22
2	2830	22

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

Inputs
(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 normAngle (-.f32 1 u))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 normAngle) (/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) n0_i)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 normAngle) (/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 normAngle) (/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) n0_i))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 normAngle) (/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sin.f32 normAngle) (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 normAngle (-.f32 1 u)) (/.f32 (sin.f32 normAngle) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i))) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) 1) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (cbrt.f32 (pow.f32 (sin.f32 normAngle) 2))) (cbrt.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 n0_i) (*.f32 normAngle (-.f32 1 u))) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 normAngle (-.f32 1 u)) (neg.f32 n0_i)) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 normAngle) (/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (/.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle n0_i)) (sin.f32 normAngle))) 1) 1))))))

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

812×	`distribute-rgt-in_binary32`
789×	`distribute-lft-in_binary32`
434×	`fma-neg_binary32`
299×	`fma-def_binary32`
245×	`associate-l_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	787
1	155	782
2	549	750
3	2623	736

Stop Event

1×	node limit

Counts

128 → 89

Calls

Call 1

Inputs
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (.f32 1/6 (.f32 (-.f32 1 u) (.f32 n0_i (pow.f32 normAngle 2)))) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 1/6 (.f32 (-.f32 1 u) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/36 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 4))) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 1/6 (.f32 (-.f32 1 u) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/36 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 4))) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 -1 (.f32 (+.f32 (.f32 -1/5040 (.f32 (-.f32 1 u) n0_i)) (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/36 (.f32 (-.f32 1 u) n0_i)))) (.f32 1/720 (*.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 6))))))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i normAngle) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(.f32 -1 (/.f32 (.f32 n0_i (*.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(.f32 -1 (/.f32 (.f32 n0_i (*.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(*.f32 (-.f32 1 u) normAngle)
normAngle
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(.f32 -1 (.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(.f32 -1 (.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)

Outputs
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (.f32 1/6 (.f32 (-.f32 1 u) (.f32 n0_i (pow.f32 normAngle 2)))) (.f32 (-.f32 1 u) n0_i))
(fma.f32 1/6 (.f32 (-.f32 1 u) (.f32 n0_i (.f32 normAngle normAngle))) (.f32 (-.f32 1 u) n0_i))
(.f32 (-.f32 1 u) (+.f32 n0_i (.f32 n0_i (.f32 1/6 (.f32 normAngle normAngle)))))
(.f32 (-.f32 1 u) (.f32 n0_i (+.f32 1 (.f32 1/6 (.f32 normAngle normAngle)))))
(+.f32 (.f32 1/6 (.f32 (-.f32 1 u) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/36 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 4))) (.f32 (-.f32 1 u) n0_i)))
(fma.f32 1/6 (.f32 (-.f32 1 u) (.f32 n0_i (.f32 normAngle normAngle))) (fma.f32 -1 (.f32 (.f32 (.f32 (-.f32 1 u) n0_i) -7/360) (pow.f32 normAngle 4)) (*.f32 (-.f32 1 u) n0_i)))
(fma.f32 1/6 (.f32 (-.f32 1 u) (.f32 n0_i (.f32 normAngle normAngle))) (-.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (*.f32 (-.f32 1 u) n0_i) -7/360) (pow.f32 normAngle 4))))
(fma.f32 (-.f32 1 u) n0_i (.f32 (.f32 (-.f32 1 u) n0_i) (-.f32 (.f32 1/6 (.f32 normAngle normAngle)) (*.f32 (pow.f32 normAngle 4) -7/360))))
(fma.f32 (-.f32 1 u) n0_i (.f32 (-.f32 n0_i (.f32 u n0_i)) (fma.f32 1/6 (.f32 normAngle normAngle) (.f32 (pow.f32 normAngle 4) 7/360))))
(+.f32 (.f32 1/6 (.f32 (-.f32 1 u) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/36 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 4))) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 -1 (.f32 (+.f32 (.f32 -1/5040 (.f32 (-.f32 1 u) n0_i)) (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/36 (.f32 (-.f32 1 u) n0_i)))) (.f32 1/720 (*.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 6))))))
(fma.f32 1/6 (.f32 (-.f32 1 u) (.f32 n0_i (.f32 normAngle normAngle))) (fma.f32 -1 (.f32 (.f32 (.f32 (-.f32 1 u) n0_i) -7/360) (pow.f32 normAngle 4)) (fma.f32 (-.f32 1 u) n0_i (neg.f32 (.f32 (fma.f32 -1/5040 (.f32 (-.f32 1 u) n0_i) (fma.f32 1/6 (.f32 (.f32 (-.f32 1 u) n0_i) -7/360) (.f32 (.f32 (-.f32 1 u) n0_i) 1/720))) (pow.f32 normAngle 6))))))
(fma.f32 1/6 (.f32 (-.f32 1 u) (.f32 n0_i (.f32 normAngle normAngle))) (-.f32 (-.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (.f32 (-.f32 1 u) n0_i) -7/360) (pow.f32 normAngle 4))) (.f32 (fma.f32 (.f32 (-.f32 1 u) n0_i) -1/5040 (fma.f32 (.f32 (-.f32 1 u) n0_i) 1/720 (.f32 (.f32 (-.f32 1 u) n0_i) -7/2160))) (pow.f32 normAngle 6))))
(-.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 (.f32 (-.f32 1 u) n0_i) (-.f32 (.f32 1/6 (.f32 normAngle normAngle)) (.f32 (pow.f32 normAngle 4) -7/360)))) (.f32 (fma.f32 (.f32 (-.f32 1 u) n0_i) -7/2160 (.f32 (*.f32 (-.f32 1 u) n0_i) 1/840)) (pow.f32 normAngle 6)))
(-.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 (-.f32 n0_i (.f32 u n0_i)) (fma.f32 1/6 (.f32 normAngle normAngle) (.f32 (pow.f32 normAngle 4) 7/360)))) (.f32 (.f32 (-.f32 n0_i (*.f32 u n0_i)) -31/15120) (pow.f32 normAngle 6)))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (*.f32 n0_i normAngle) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) normAngle))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) normAngle)
(*.f32 normAngle (/.f32 n0_i (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(.f32 -1 (/.f32 (.f32 n0_i (*.f32 u normAngle)) (sin.f32 normAngle)))
(neg.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))))
(/.f32 (.f32 (.f32 u (neg.f32 normAngle)) n0_i) (sin.f32 normAngle))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (.f32 u (neg.f32 normAngle)))
(.f32 (.f32 normAngle (/.f32 n0_i (sin.f32 normAngle))) (neg.f32 u))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(.f32 -1 (/.f32 (.f32 n0_i (*.f32 u normAngle)) (sin.f32 normAngle)))
(neg.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))))
(/.f32 (.f32 (.f32 u (neg.f32 normAngle)) n0_i) (sin.f32 normAngle))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (.f32 u (neg.f32 normAngle)))
(.f32 (.f32 normAngle (/.f32 n0_i (sin.f32 normAngle))) (neg.f32 u))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (-.f32 1 u) (/.f32 (sin.f32 normAngle) (*.f32 n0_i normAngle)))
(.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) (.f32 n0_i normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (sin.f32 normAngle)))
(.f32 n0_i (.f32 (/.f32 (-.f32 1 u) (sin.f32 normAngle)) normAngle))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
normAngle
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(.f32 -1 (.f32 u normAngle))
(neg.f32 (*.f32 u normAngle))
(*.f32 u (neg.f32 normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(.f32 -1 (.f32 u normAngle))
(neg.f32 (*.f32 u normAngle))
(*.f32 u (neg.f32 normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))

localize73.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f32 (*.f32 normAngle (-.f32 1 u)))
	0.0b	(/.f32 n0_i (sin.f32 normAngle))
	0.2b	(*.f32 normAngle (-.f32 1 u))
✓	0.3b	(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))

Compiler

Compiled 39 to 21 computations (46.2% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	normAngle	@	0	(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
0.0ms	normAngle	@	0	(sin.f32 (*.f32 normAngle (-.f32 1 u)))
0.0ms	u	@	0	(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
0.0ms	normAngle	@	inf	(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
0.0ms	u	@	inf	(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`log-prod_binary32`
400×	`prod-diff_binary32`
365×	`pow-prod-down_binary32`
306×	`pow2_binary32`
216×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	227	26
2	2965	26

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(sin.f32 (*.f32 normAngle (-.f32 1 u)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 n0_i (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 1 u))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 n0_i (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 n0_i (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 n0_i (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i)) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) 1) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (cbrt.f32 (pow.f32 (sin.f32 normAngle) 2))) (cbrt.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 normAngle (-.f32 1 u)))) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (neg.f32 n0_i)) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (/.f32 n0_i (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))) 1))))))

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

simplify121.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

818×	`associate-l_binary32`
671×	`fma-neg_binary32`
598×	`fma-def_binary32`
485×	`cancel-sign-sub-inv_binary32`
306×	`unswap-sqr_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	1308
1	330	1260
2	1190	1237
3	5270	1235

Stop Event

1×	node limit

Counts

112 → 88

Calls

Call 1

Inputs
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4)) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) n0_i)) (+.f32 (.f32 -1/5040 (.f32 (-.f32 1 u) n0_i)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))))))) (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 6)))))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
n0_i
(+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (*.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(+.f32 (.f32 1/6 (/.f32 (.f32 (cos.f32 normAngle) (.f32 (pow.f32 u 3) (.f32 n0_i (pow.f32 normAngle 3)))) (sin.f32 normAngle))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (*.f32 n0_i normAngle))) (sin.f32 normAngle))))))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(*.f32 (-.f32 1 u) normAngle)
(+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3))) (*.f32 (-.f32 1 u) normAngle))
(+.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) (pow.f32 normAngle 5))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3))) (*.f32 (-.f32 1 u) normAngle)))
(+.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) (pow.f32 normAngle 5))) (+.f32 (.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) (pow.f32 normAngle 7))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3))) (*.f32 (-.f32 1 u) normAngle))))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 normAngle)
(+.f32 (sin.f32 normAngle) (.f32 -1 (.f32 (cos.f32 normAngle) (*.f32 u normAngle))))
(+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))) (+.f32 (sin.f32 normAngle) (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 u normAngle)))))
(+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))) (+.f32 (sin.f32 normAngle) (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 u normAngle))) (.f32 1/6 (.f32 (cos.f32 normAngle) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))))))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))
(sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))
(sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))
(sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))

Outputs
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i))
(fma.f32 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (.f32 (-.f32 1 u) n0_i))) (.f32 normAngle normAngle) (*.f32 (-.f32 1 u) n0_i))
(fma.f32 (.f32 -1/6 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u)))) (.f32 normAngle normAngle) (.f32 (-.f32 1 u) n0_i))
(fma.f32 (-.f32 1 u) n0_i (.f32 (.f32 n0_i (.f32 -1/6 (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u))) (.f32 normAngle normAngle)))
(fma.f32 (.f32 (.f32 n0_i -1/6) (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1))) (.f32 normAngle normAngle) (-.f32 n0_i (.f32 u n0_i)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4)) (.f32 (-.f32 1 u) n0_i)))
(fma.f32 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (.f32 (-.f32 1 u) n0_i))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) n0_i) (fma.f32 1/120 (.f32 (-.f32 1 u) n0_i) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4) (.f32 (-.f32 1 u) n0_i)))
(fma.f32 (.f32 -1/6 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u)))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 n0_i (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (.f32 (-.f32 1 u) 1/120))) (.f32 1/36 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))) (pow.f32 normAngle 4) (*.f32 (-.f32 1 u) n0_i)))
(fma.f32 -1/6 (.f32 n0_i (.f32 (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u) (.f32 normAngle normAngle))) (fma.f32 (fma.f32 n0_i (.f32 1/120 (-.f32 (pow.f32 (-.f32 1 u) 5) (-.f32 1 u))) (.f32 -1/36 (.f32 n0_i (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u)))) (pow.f32 normAngle 4) (*.f32 (-.f32 1 u) n0_i)))
(fma.f32 (fma.f32 n0_i (.f32 1/120 (+.f32 (pow.f32 (-.f32 1 u) 5) (+.f32 u -1))) (.f32 -1/36 (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1))))) (pow.f32 normAngle 4) (fma.f32 (.f32 (.f32 n0_i -1/6) (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1))) (.f32 normAngle normAngle) (-.f32 n0_i (*.f32 u n0_i))))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) n0_i)) (+.f32 (.f32 -1/5040 (.f32 (-.f32 1 u) n0_i)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))))))) (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 6)))))
(fma.f32 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (.f32 (-.f32 1 u) n0_i))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) n0_i) (fma.f32 1/120 (.f32 (-.f32 1 u) n0_i) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4) (fma.f32 (-.f32 1 u) n0_i (.f32 (-.f32 (.f32 -1/5040 (.f32 n0_i (pow.f32 (-.f32 1 u) 7))) (fma.f32 -1/5040 (.f32 (-.f32 1 u) n0_i) (fma.f32 -1/6 (-.f32 (.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) n0_i) (fma.f32 1/120 (.f32 (-.f32 1 u) n0_i) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (.f32 (-.f32 1 u) n0_i)))))) (.f32 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (.f32 (-.f32 1 u) n0_i))) 1/120)))) (pow.f32 normAngle 6)))))
(fma.f32 (.f32 -1/6 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u)))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 n0_i (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (.f32 (-.f32 1 u) 1/120))) (.f32 1/36 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))) (pow.f32 normAngle 4) (fma.f32 (-.f32 (.f32 n0_i (-.f32 (.f32 -1/5040 (pow.f32 (-.f32 1 u) 7)) (.f32 (-.f32 1 u) -1/5040))) (fma.f32 -1/6 (-.f32 (.f32 n0_i (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (.f32 (-.f32 1 u) 1/120))) (.f32 1/36 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))) (.f32 -1/720 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u)))))) (pow.f32 normAngle 6) (*.f32 (-.f32 1 u) n0_i))))
(fma.f32 -1/6 (.f32 n0_i (.f32 (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u) (.f32 normAngle normAngle))) (fma.f32 (-.f32 1 u) n0_i (fma.f32 (+.f32 (fma.f32 n0_i (.f32 -1/5040 (-.f32 (pow.f32 (-.f32 1 u) 7) (-.f32 1 u))) (.f32 1/720 (.f32 n0_i (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u)))) (.f32 1/6 (fma.f32 n0_i (.f32 1/120 (-.f32 (pow.f32 (-.f32 1 u) 5) (-.f32 1 u))) (.f32 -1/36 (.f32 n0_i (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u)))))) (pow.f32 normAngle 6) (.f32 (fma.f32 n0_i (.f32 1/120 (-.f32 (pow.f32 (-.f32 1 u) 5) (-.f32 1 u))) (.f32 -1/36 (.f32 n0_i (+.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) 1) u)))) (pow.f32 normAngle 4)))))
(fma.f32 -1/6 (.f32 n0_i (.f32 (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1)) (.f32 normAngle normAngle))) (fma.f32 (-.f32 (.f32 (.f32 n0_i -1/5040) (+.f32 (pow.f32 (-.f32 1 u) 7) (+.f32 u -1))) (fma.f32 -1/6 (fma.f32 n0_i (.f32 1/120 (+.f32 (pow.f32 (-.f32 1 u) 5) (+.f32 u -1))) (.f32 -1/36 (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1))))) (.f32 (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1))) -1/720))) (pow.f32 normAngle 6) (fma.f32 (fma.f32 n0_i (.f32 1/120 (+.f32 (pow.f32 (-.f32 1 u) 5) (+.f32 u -1))) (.f32 -1/36 (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1))))) (pow.f32 normAngle 4) (-.f32 n0_i (.f32 u n0_i)))))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
n0_i
(+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(+.f32 n0_i (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u (.f32 n0_i normAngle))))))
(-.f32 n0_i (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 u (*.f32 n0_i normAngle))))
(-.f32 n0_i (.f32 (.f32 u (*.f32 n0_i normAngle)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (*.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(fma.f32 -1/2 (.f32 (.f32 u u) (.f32 n0_i (.f32 normAngle normAngle))) (+.f32 n0_i (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u (.f32 n0_i normAngle)))))))
(-.f32 (fma.f32 -1/2 (.f32 n0_i (.f32 u (.f32 u (.f32 normAngle normAngle)))) n0_i) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 u (*.f32 n0_i normAngle))))
(-.f32 (fma.f32 -1/2 (.f32 n0_i (.f32 (.f32 u normAngle) (.f32 u normAngle))) n0_i) (.f32 (.f32 u (*.f32 n0_i normAngle)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(-.f32 (fma.f32 -1/2 (.f32 (.f32 normAngle normAngle) (.f32 n0_i (.f32 u u))) n0_i) (.f32 (.f32 u (*.f32 n0_i normAngle)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(+.f32 (.f32 1/6 (/.f32 (.f32 (cos.f32 normAngle) (.f32 (pow.f32 u 3) (.f32 n0_i (pow.f32 normAngle 3)))) (sin.f32 normAngle))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (*.f32 n0_i normAngle))) (sin.f32 normAngle))))))
(fma.f32 1/6 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 3) (.f32 n0_i (pow.f32 normAngle 3))))) (fma.f32 -1/2 (.f32 (.f32 u u) (.f32 n0_i (.f32 normAngle normAngle))) (+.f32 n0_i (neg.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u (.f32 n0_i normAngle))))))))
(fma.f32 1/6 (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 (pow.f32 normAngle 3) (.f32 n0_i (pow.f32 u 3)))) (-.f32 (fma.f32 -1/2 (.f32 n0_i (.f32 u (.f32 u (.f32 normAngle normAngle)))) n0_i) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 u (.f32 n0_i normAngle)))))
(-.f32 (fma.f32 1/6 (.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 n0_i (pow.f32 normAngle 3)))) (pow.f32 u 3)) (fma.f32 -1/2 (.f32 n0_i (.f32 (.f32 u normAngle) (.f32 u normAngle))) n0_i)) (.f32 (.f32 u (*.f32 n0_i normAngle)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(-.f32 (fma.f32 1/6 (/.f32 (.f32 (pow.f32 normAngle 3) (.f32 n0_i (pow.f32 u 3))) (/.f32 (sin.f32 normAngle) (cos.f32 normAngle))) (fma.f32 -1/2 (.f32 (.f32 normAngle normAngle) (.f32 n0_i (.f32 u u))) n0_i)) (.f32 (.f32 u (*.f32 n0_i normAngle)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3))) (*.f32 (-.f32 1 u) normAngle))
(fma.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3)) (.f32 (-.f32 1 u) normAngle))
(fma.f32 (-.f32 1 u) normAngle (.f32 (pow.f32 normAngle 3) (.f32 -1/6 (pow.f32 (-.f32 1 u) 3))))
(fma.f32 (-.f32 1 u) normAngle (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) (pow.f32 normAngle 5))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3))) (*.f32 (-.f32 1 u) normAngle)))
(fma.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) (pow.f32 normAngle 5)) (fma.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3)) (*.f32 (-.f32 1 u) normAngle)))
(fma.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) (pow.f32 normAngle 5)) (fma.f32 (-.f32 1 u) normAngle (.f32 (pow.f32 normAngle 3) (*.f32 -1/6 (pow.f32 (-.f32 1 u) 3)))))
(fma.f32 (-.f32 1 u) normAngle (fma.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3)) (.f32 1/120 (*.f32 (pow.f32 (-.f32 1 u) 5) (pow.f32 normAngle 5)))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) (pow.f32 normAngle 5))) (+.f32 (.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) (pow.f32 normAngle 7))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3))) (*.f32 (-.f32 1 u) normAngle))))
(fma.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) (pow.f32 normAngle 5)) (fma.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) (pow.f32 normAngle 7)) (fma.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3)) (.f32 (-.f32 1 u) normAngle))))
(fma.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) (pow.f32 normAngle 5)) (fma.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) (pow.f32 normAngle 7)) (fma.f32 (-.f32 1 u) normAngle (.f32 (pow.f32 normAngle 3) (.f32 -1/6 (pow.f32 (-.f32 1 u) 3))))))
(fma.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) (pow.f32 normAngle 5)) (fma.f32 (-.f32 1 u) normAngle (fma.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3)) (.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) (pow.f32 normAngle 7))))))
(fma.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) (pow.f32 normAngle 5)) (fma.f32 (-.f32 1 u) normAngle (fma.f32 (pow.f32 (-.f32 1 u) 7) (.f32 -1/5040 (pow.f32 normAngle 7)) (.f32 (pow.f32 normAngle 3) (.f32 -1/6 (pow.f32 (-.f32 1 u) 3))))))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
(sin.f32 normAngle)
(+.f32 (sin.f32 normAngle) (.f32 -1 (.f32 (cos.f32 normAngle) (*.f32 u normAngle))))
(+.f32 (sin.f32 normAngle) (neg.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle))))
(-.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle (cos.f32 normAngle))))
(-.f32 (sin.f32 normAngle) (.f32 (cos.f32 normAngle) (.f32 u normAngle)))
(+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))) (+.f32 (sin.f32 normAngle) (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 u normAngle)))))
(fma.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (.f32 normAngle normAngle) (.f32 u u))) (+.f32 (sin.f32 normAngle) (neg.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)))))
(-.f32 (fma.f32 -1/2 (.f32 (.f32 normAngle normAngle) (.f32 (sin.f32 normAngle) (.f32 u u))) (sin.f32 normAngle)) (.f32 u (.f32 normAngle (cos.f32 normAngle))))
(-.f32 (fma.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (.f32 u normAngle) (.f32 u normAngle))) (sin.f32 normAngle)) (.f32 (cos.f32 normAngle) (.f32 u normAngle)))
(fma.f32 (sin.f32 normAngle) (.f32 u (.f32 (.f32 u (.f32 normAngle normAngle)) -1/2)) (-.f32 (sin.f32 normAngle) (.f32 (cos.f32 normAngle) (.f32 u normAngle))))
(+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))) (+.f32 (sin.f32 normAngle) (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 u normAngle))) (.f32 1/6 (.f32 (cos.f32 normAngle) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))))))
(fma.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (.f32 normAngle normAngle) (.f32 u u))) (+.f32 (sin.f32 normAngle) (fma.f32 -1 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (.f32 (.f32 1/6 (cos.f32 normAngle)) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))))))
(+.f32 (-.f32 (.f32 (cos.f32 normAngle) (.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) 1/6)) (.f32 u (.f32 normAngle (cos.f32 normAngle)))) (fma.f32 -1/2 (.f32 (.f32 normAngle normAngle) (.f32 (sin.f32 normAngle) (*.f32 u u))) (sin.f32 normAngle)))
(+.f32 (.f32 (cos.f32 normAngle) (-.f32 (.f32 (pow.f32 u 3) (.f32 1/6 (pow.f32 normAngle 3))) (.f32 u normAngle))) (fma.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (.f32 u normAngle) (.f32 u normAngle))) (sin.f32 normAngle)))
(fma.f32 (+.f32 (.f32 u (.f32 (.f32 u (.f32 normAngle normAngle)) -1/2)) 1) (sin.f32 normAngle) (.f32 (cos.f32 normAngle) (fma.f32 (pow.f32 normAngle 3) (.f32 (pow.f32 u 3) 1/6) (*.f32 u (neg.f32 normAngle)))))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
(sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
(sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
(sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
(sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))
(sin.f32 (*.f32 (-.f32 1 u) normAngle))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))

eval349.0ms (2.2%)

Compiler: Compiled 11036 to 5556 computations (49.7% saved)

prune110.0ms (0.7%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	597	8	605
Fresh	5	8	13
Picked	0	1	1
Done	2	3	5
Total	604	20	624

Error

Counts

624 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	5.4b	(fma.f32 u n1_i n0_i)
	9.1b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	0.5b	(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
	14.0b	(-.f32 n0_i (*.f32 u n0_i))
	1.2b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
✓	0.5b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	5.4b	(+.f32 (*.f32 u n1_i) n0_i)
✓	0.6b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
▶	5.3b	(+.f32 n0_i (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
▶	0.4b	(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3))))))
	0.4b	(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (.f32 1/3 n0_i)))))
▶	0.4b	(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))))))
	14.4b	(.f32 (-.f32 1 u) (.f32 n0_i (+.f32 1 (.f32 1/6 (.f32 normAngle normAngle)))))
▶	14.0b	(*.f32 (-.f32 1 u) n0_i)
▶	14.1b	(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i normAngle))
	13.9b	(.f32 (sin.f32 (/.f32 (.f32 (-.f32 1 (*.f32 u u)) normAngle) (+.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
✓	13.9b	(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
	14.2b	(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle)))
✓	19.9b	(*.f32 u n1_i)
	16.7b	n0_i

Compiler

Compiled 525 to 352 computations (33% saved)

localize160.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))
✓	0.1b	(+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))
	0.3b	(*.f32 n1_i 1/6)
✓	0.4b	(*.f32 n0_i 1/3)

Compiler

Compiled 91 to 47 computations (48.4% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	normAngle	@	0	(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))
1.0ms	n0_i	@	0	(*.f32 n0_i 1/3)
1.0ms	n0_i	@	inf	(*.f32 n0_i 1/3)
0.0ms	n0_i	@	-inf	(*.f32 n0_i 1/3)
0.0ms	normAngle	@	inf	(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`log-prod_binary32`
444×	`pow-prod-down_binary32`
372×	`fma-def_binary32`
303×	`pow2_binary32`
212×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	239	26
2	3188	26

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

Inputs
(*.f32 n0_i 1/3)
(+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))

Outputs

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(*.f32 n1_i 1/6)) (*.f32 normAngle normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) (*.f32 normAngle normAngle))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) (*.f32 normAngle normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) (*.f32 normAngle normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (exp.f32 (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle)))) (exp.f32 (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) (*.f32 normAngle normAngle))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) (*.f32 normAngle normAngle)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 normAngle (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle)) (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1/3 (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 n0_i 1/3) (*.f32 normAngle normAngle) (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle)) (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1/6 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 n1_i 1/6) (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 normAngle (*.f32 normAngle (*.f32 n0_i 1/3)) (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i 1/6)) (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i 1/3) (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i 1/6) (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))) (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))) (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (cbrt.f32 normAngle) normAngle) (*.f32 (pow.f32 (cbrt.f32 normAngle) 2) (*.f32 n1_i 1/6)) (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (cbrt.f32 normAngle) normAngle) (*.f32 (pow.f32 (cbrt.f32 normAngle) 2) (*.f32 n0_i 1/3)) (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i 1/6)) 2) (*.f32 (cbrt.f32 (*.f32 n1_i 1/6)) (*.f32 normAngle normAngle)) (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i 1/3)) 2) (*.f32 (cbrt.f32 (*.f32 n0_i 1/3)) (*.f32 normAngle normAngle)) (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 n1_i 1/6)) (*.f32 (sqrt.f32 (*.f32 n1_i 1/6)) (*.f32 normAngle normAngle)) (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 n0_i 1/3)) (*.f32 (sqrt.f32 (*.f32 n0_i 1/3)) (*.f32 normAngle normAngle)) (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))) 1 (*.f32 (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle)))) 2) (cbrt.f32 (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle)))) (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle)))) 2) (cbrt.f32 (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle)))) (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 normAngle (sqrt.f32 (*.f32 n1_i 1/6))) (*.f32 normAngle (sqrt.f32 (*.f32 n1_i 1/6))) (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 normAngle (sqrt.f32 (*.f32 n0_i 1/3))) (*.f32 normAngle (sqrt.f32 (*.f32 n0_i 1/3))) (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 n0_i 1/3) normAngle) normAngle (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 n1_i 1/6) normAngle) normAngle (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) 1/6 (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 normAngle normAngle) 1/6) n1_i (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (*.f32 normAngle (cbrt.f32 (*.f32 n1_i 1/6))) 2) (cbrt.f32 (*.f32 n1_i 1/6)) (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 normAngle normAngle) (sqrt.f32 (*.f32 n1_i 1/6))) (sqrt.f32 (*.f32 n1_i 1/6)) (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 n1_i 1/6) (*.f32 (cbrt.f32 normAngle) normAngle)) (pow.f32 (cbrt.f32 normAngle) 2) (*.f32 n0_i (*.f32 1/3 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) 1/3 (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 normAngle normAngle) 1/3) n0_i (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (*.f32 normAngle (cbrt.f32 (*.f32 n0_i 1/3))) 2) (cbrt.f32 (*.f32 n0_i 1/3)) (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 normAngle normAngle) (sqrt.f32 (*.f32 n0_i 1/3))) (sqrt.f32 (*.f32 n0_i 1/3)) (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 n0_i 1/3) (*.f32 (cbrt.f32 normAngle) normAngle)) (pow.f32 (cbrt.f32 normAngle) 2) (*.f32 n1_i (*.f32 1/6 (*.f32 normAngle normAngle))))))))

simplify215.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

755×	`sqr-pow_binary32`
676×	`fma-def_binary32`
540×	`associate-l_binary32`
483×	`cube-prod_binary32`
457×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	696
1	35	696
2	80	696
3	177	696
4	508	696
5	1757	696
6	2940	696
7	3708	696
8	3843	696
9	4003	696
10	4184	696
11	4435	696
12	4797	696
13	5167	696
14	5621	696
15	6204	696
16	6916	696
17	7776	696

Stop Event

1×	node limit

Counts

220 → 159

Calls

Call 1

Inputs
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(*.f32 1/6 n1_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(*.f32 1/6 n1_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(*.f32 1/6 n1_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(*.f32 1/3 n0_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(*.f32 1/3 n0_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))

Outputs
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(*.f32 1/3 n0_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(*.f32 1/6 n1_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(*.f32 1/6 n1_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(*.f32 1/6 n1_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(*.f32 1/3 n0_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(*.f32 1/3 n0_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(fma.f32 1/3 n0_i (*.f32 1/6 n1_i))
(fma.f32 1/6 n1_i (*.f32 1/3 n0_i))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 (+.f32 (.f32 1/3 n0_i) (*.f32 1/6 n1_i)) (pow.f32 normAngle 2))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2)))
(.f32 1/3 (.f32 n0_i (*.f32 normAngle normAngle)))
(.f32 1/3 (.f32 normAngle (*.f32 normAngle n0_i)))
(.f32 n0_i (.f32 normAngle (*.f32 1/3 normAngle)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2)))
(.f32 1/3 (.f32 n0_i (*.f32 normAngle normAngle)))
(.f32 1/3 (.f32 normAngle (*.f32 normAngle n0_i)))
(.f32 n0_i (.f32 normAngle (*.f32 1/3 normAngle)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2)))
(.f32 1/3 (.f32 n0_i (*.f32 normAngle normAngle)))
(.f32 1/3 (.f32 normAngle (*.f32 normAngle n0_i)))
(.f32 n0_i (.f32 normAngle (*.f32 1/3 normAngle)))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))
(+.f32 (.f32 1/3 (.f32 n0_i (pow.f32 normAngle 2))) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(.f32 (fma.f32 1/3 n0_i (.f32 1/6 n1_i)) (*.f32 normAngle normAngle))
(.f32 (fma.f32 1/6 n1_i (.f32 1/3 n0_i)) (*.f32 normAngle normAngle))

localize20.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(*.f32 (-.f32 1 u) n0_i)

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize33.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f32 normAngle (-.f32 1 u))
✓	0.3b	(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i normAngle))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	normAngle	@	0	(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i normAngle))
0.0ms	normAngle	@	inf	(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i normAngle))
0.0ms	n0_i	@	inf	(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i normAngle))
0.0ms	u	@	inf	(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i normAngle))
0.0ms	normAngle	@	-inf	(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i normAngle))

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`log-prod_binary32`
382×	`exp-prod_binary32`
377×	`pow-prod-down_binary32`
258×	`pow2_binary32`
194×	`pow-unpow_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	191	13
2	2606	13

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i normAngle))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 normAngle) (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 normAngle) (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 normAngle) (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 normAngle) (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 normAngle (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 normAngle (-.f32 1 u)) (/.f32 normAngle n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) normAngle)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i))) (neg.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) 1) normAngle)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (cbrt.f32 (*.f32 normAngle normAngle))) (cbrt.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (sqrt.f32 normAngle)) (sqrt.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 n0_i) (*.f32 normAngle (-.f32 1 u))) (neg.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 normAngle (-.f32 1 u)) (neg.f32 n0_i)) (neg.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 normAngle (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))))) 2)) (cbrt.f32 (log.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle)))))) (sqrt.f32 (log.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 normAngle) (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (/.f32 n0_i normAngle)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (-.f32 (*.f32 (log.f32 (*.f32 normAngle (-.f32 1 u))) 1) (log.f32 (/.f32 normAngle n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (-.f32 (log.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i))) (*.f32 (log.f32 normAngle) 1)))))))

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

126×	`fma-def_binary32`
71×	`fma-neg_binary32`
22×	`cancel-sign-sub-inv_binary32`
19×	`associate-r_binary32`
18×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	244
1	22	244
2	44	244
3	66	244
4	114	244
5	201	244
6	350	244
7	429	244
8	499	244
9	505	244

Stop Event

1×

saturated

Counts

72 → 42

Calls

Call 1

Inputs
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
n0_i
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(.f32 -1 (.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(.f32 -1 (.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)

Outputs
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
n0_i
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(.f32 -1 (.f32 u n0_i))
(neg.f32 (*.f32 u n0_i))
(*.f32 n0_i (neg.f32 u))
(*.f32 u (neg.f32 n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(.f32 -1 (.f32 u n0_i))
(neg.f32 (*.f32 u n0_i))
(*.f32 n0_i (neg.f32 u))
(*.f32 u (neg.f32 n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))

localize80.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))))))
✓	0.1b	(.f32 n1_i (.f32 normAngle normAngle))
✓	0.1b	(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)))))
✓	0.1b	(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))

Compiler

Compiled 66 to 22 computations (66.7% saved)

series38.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
21.0ms	u	@	inf	(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)))))
1.0ms	u	@	0	(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)))))
1.0ms	n1_i	@	0	(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
1.0ms	n1_i	@	inf	(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
1.0ms	u	@	-inf	(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)))))

rewrite196.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

873×	`fma-def_binary32`
800×	`log-prod_binary32`
380×	`fma-neg_binary32`
276×	`expm1-udef_binary32`
276×	`log1p-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	300	52
2	4621	52

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

Inputs
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)))))
(.f32 n1_i (.f32 normAngle normAngle))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) n1_i) 1/6)) (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) n1_i) 1/6)))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) n1_i) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) n1_i) 1/6))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) n1_i) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (.f32 1/6 n1_i)) normAngle) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) n1_i) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)) (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) 1) (.f32 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 u) (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i))) (cbrt.f32 (pow.f32 (exp.f32 u) (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u) (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u) (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u) (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 u (-.f32 n1_i n0_i)) 3) (pow.f32 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)) 3)) (fma.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i)) (-.f32 (.f32 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u))) (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (.f32 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)))) (-.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (fma.f32 1/216 (pow.f32 (.f32 n1_i (.f32 normAngle normAngle)) 3) (pow.f32 (-.f32 n1_i n0_i) 3)) u) (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) (-.f32 n1_i n0_i)) (pow.f32 (-.f32 n1_i n0_i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (pow.f32 (-.f32 n1_i n0_i) 2) (pow.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) 2)) u) (-.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (fma.f32 1/216 (pow.f32 (.f32 n1_i (.f32 normAngle normAngle)) 3) (pow.f32 (-.f32 n1_i n0_i) 3))) (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) (-.f32 n1_i n0_i)) (pow.f32 (-.f32 n1_i n0_i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (-.f32 (pow.f32 (-.f32 n1_i n0_i) 2) (pow.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) 2))) (-.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u) (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (exp.f32 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u))) (exp.f32 (.f32 u (-.f32 n1_i n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1/6 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) u) (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u) (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) u (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u (-.f32 n1_i n0_i) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (-.f32 n1_i n0_i) u (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 u (-.f32 n1_i n0_i)) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)) (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u) 2) (.f32 (cbrt.f32 u) (-.f32 n1_i n0_i)) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u) 2) (.f32 (cbrt.f32 u) (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i))) (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (-.f32 n1_i n0_i)) 2) (.f32 (cbrt.f32 (-.f32 n1_i n0_i)) u) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i))) 2) (.f32 (cbrt.f32 (.f32 (.f32 normAngle normAngle) 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n0_i)) (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) u n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u) (.f32 (sqrt.f32 u) (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i)) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i))) (sqrt.f32 (.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i))) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (-.f32 n1_i n0_i)) (.f32 (sqrt.f32 (-.f32 n1_i n0_i)) u) (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) u n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (cbrt.f32 (.f32 u (-.f32 n1_i n0_i))) (cbrt.f32 (.f32 u (-.f32 n1_i n0_i)))) (cbrt.f32 (.f32 u (-.f32 n1_i n0_i))) (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) u n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u (-.f32 n1_i n0_i))) (sqrt.f32 (.f32 u (-.f32 n1_i n0_i))) (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) u n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 u) (sqrt.f32 (-.f32 n1_i n0_i))) (.f32 (sqrt.f32 u) (sqrt.f32 (-.f32 n1_i n0_i))) (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) u n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 (-.f32 n1_i n0_i)) (sqrt.f32 u)) (.f32 (sqrt.f32 (-.f32 n1_i n0_i)) (sqrt.f32 u)) (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) u n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (pow.f32 (cbrt.f32 (-.f32 n1_i n0_i)) 2)) (cbrt.f32 (-.f32 n1_i n0_i)) (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) u n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (sqrt.f32 (-.f32 n1_i n0_i))) (sqrt.f32 (-.f32 n1_i n0_i)) (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) u n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (-.f32 n1_i n0_i) (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) u n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (-.f32 n1_i n0_i) (sqrt.f32 u)) (sqrt.f32 u) (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i)) u n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (pow.f32 (cbrt.f32 (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i)) 2)) (cbrt.f32 (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i)) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u (sqrt.f32 (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i))) (sqrt.f32 (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i)) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i) (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 1/6 n1_i) n1_i) n0_i) (sqrt.f32 u)) (sqrt.f32 u) n0_i)))))

simplify174.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

674×	`fma-def_binary32`
581×	`distribute-rgt-neg-in_binary32`
427×	`distribute-lft-neg-in_binary32`
406×	`associate-l_binary32`
366×	`unswap-sqr_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	2284
1	163	2052
2	401	1944
3	1128	1944
4	3441	1944
5	5041	1944
6	6809	1944
7	7597	1944

Stop Event

1×	node limit

Counts

311 → 205

Calls

Call 1

Inputs
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (.f32 -1 (*.f32 n0_i u)))
(.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u)))
(.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)))
(+.f32 (.f32 -1 (.f32 n0_i u)) (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u))))
(+.f32 (.f32 -1 (.f32 n0_i u)) (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u))))
(+.f32 (.f32 -1 (.f32 n0_i u)) (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u))))
(.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(+.f32 (.f32 -1 (.f32 n0_i u)) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 (.f32 -1 (.f32 n0_i u)) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 (.f32 -1 (.f32 n0_i u)) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 n0_i u)))
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 n0_i u)))
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(*.f32 n1_i (pow.f32 normAngle 2))
(.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) n0_i) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) n0_i) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) n0_i) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) n0_i) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) n0_i) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) n0_i) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
n0_i
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (+.f32 (.f32 -1 (*.f32 u n0_i)) n0_i))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (+.f32 (.f32 -1 (*.f32 u n0_i)) n0_i))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (+.f32 (.f32 -1 (*.f32 u n0_i)) n0_i))
(.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 n0_i (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)))))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 n0_i (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)))))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 n0_i (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)))))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))

Outputs
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 (.f32 normAngle normAngle) (*.f32 1/6 n1_i))
(.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)))
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 n1_i (-.f32 (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) u)
(.f32 (-.f32 (fma.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (*.f32 1/6 normAngle) 1)) n0_i) u)
(.f32 (fma.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 n1_i (-.f32 (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) u)
(.f32 (-.f32 (fma.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (*.f32 1/6 normAngle) 1)) n0_i) u)
(.f32 (fma.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 n1_i (-.f32 (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) u)
(.f32 (-.f32 (fma.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (*.f32 1/6 normAngle) 1)) n0_i) u)
(.f32 (fma.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 n1_i (-.f32 (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) u)
(.f32 (-.f32 (fma.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (*.f32 1/6 normAngle) 1)) n0_i) u)
(.f32 (fma.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 n1_i (-.f32 (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) u)
(.f32 (-.f32 (fma.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (*.f32 1/6 normAngle) 1)) n0_i) u)
(.f32 (fma.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 n1_i (-.f32 (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) u)
(.f32 (-.f32 (fma.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (*.f32 1/6 normAngle) 1)) n0_i) u)
(.f32 (fma.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 n1_i (-.f32 (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) u)
(.f32 (-.f32 (fma.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (*.f32 1/6 normAngle) 1)) n0_i) u)
(.f32 (fma.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 n1_i (-.f32 (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) u)
(.f32 (-.f32 (fma.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (*.f32 1/6 normAngle) 1)) n0_i) u)
(.f32 (fma.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 n1_i (-.f32 (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) u)
(.f32 (-.f32 (fma.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (*.f32 1/6 normAngle) 1)) n0_i) u)
(.f32 (fma.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 n1_i (-.f32 (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) u)
(.f32 (-.f32 (fma.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (*.f32 1/6 normAngle) 1)) n0_i) u)
(.f32 (fma.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 n1_i (-.f32 (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) u)
(.f32 (-.f32 (fma.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (*.f32 1/6 normAngle) 1)) n0_i) u)
(.f32 (fma.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 n1_i (-.f32 (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) u)
(.f32 (-.f32 (fma.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (*.f32 1/6 normAngle) 1)) n0_i) u)
(.f32 (fma.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u)
(.f32 -1 (.f32 n0_i u))
(*.f32 (neg.f32 u) n0_i)
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (.f32 -1 (*.f32 n0_i u)))
(.f32 (+.f32 n1_i (-.f32 (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) u)
(.f32 (-.f32 (fma.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (*.f32 1/6 normAngle) 1)) n0_i) u)
(.f32 (fma.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u)
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (.f32 -1 (*.f32 n0_i u)))
(.f32 (+.f32 n1_i (-.f32 (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) u)
(.f32 (-.f32 (fma.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (*.f32 1/6 normAngle) 1)) n0_i) u)
(.f32 (fma.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u)
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (.f32 -1 (*.f32 n0_i u)))
(.f32 (+.f32 n1_i (-.f32 (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) u)
(.f32 (-.f32 (fma.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (*.f32 1/6 normAngle) 1)) n0_i) u)
(.f32 (fma.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u))
(.f32 (fma.f32 1/6 (.f32 normAngle normAngle) 1) (*.f32 n1_i u))
(.f32 n1_i (.f32 u (fma.f32 normAngle (*.f32 1/6 normAngle) 1)))
(.f32 n1_i (.f32 u (fma.f32 1/6 (*.f32 normAngle normAngle) 1)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u)))
(.f32 (+.f32 n1_i (-.f32 (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) u)
(.f32 (-.f32 (fma.f32 1/6 (.f32 n1_i (*.f32 normAngle normAngle)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (*.f32 1/6 normAngle) 1)) n0_i) u)
(.f32 (fma.f32 n1_i (.f32 1/6 (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u)
(+.f32 (.f32 -1 (.f32 u n0_i)) (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u)))
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(fma.f32 (fma.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)) n1_i) u (-.f32 n0_i (*.f32 n0_i u)))
(fma.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (.f32 1/6 normAngle) 1)) n0_i) u n0_i)
(fma.f32 (fma.f32 n1_i (.f32 1/6 (.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u n0_i)
(.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/6 (.f32 n1_i (.f32 (.f32 normAngle normAngle) u)))
(.f32 n1_i (.f32 (.f32 (.f32 normAngle normAngle) u) 1/6))
(.f32 n1_i (.f32 1/6 (.f32 (.f32 normAngle normAngle) u)))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(fma.f32 (+.f32 1 (neg.f32 u)) n0_i (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)))) u))
(fma.f32 (fma.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)) n1_i) u (-.f32 n0_i (*.f32 n0_i u)))
(fma.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (.f32 1/6 normAngle) 1)) n0_i) u n0_i)
(fma.f32 (fma.f32 n1_i (.f32 1/6 (.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u n0_i)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(fma.f32 (+.f32 1 (neg.f32 u)) n0_i (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)))) u))
(fma.f32 (fma.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)) n1_i) u (-.f32 n0_i (*.f32 n0_i u)))
(fma.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (.f32 1/6 normAngle) 1)) n0_i) u n0_i)
(fma.f32 (fma.f32 n1_i (.f32 1/6 (.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u n0_i)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(fma.f32 (+.f32 1 (neg.f32 u)) n0_i (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)))) u))
(fma.f32 (fma.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)) n1_i) u (-.f32 n0_i (*.f32 n0_i u)))
(fma.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (.f32 1/6 normAngle) 1)) n0_i) u n0_i)
(fma.f32 (fma.f32 n1_i (.f32 1/6 (.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u n0_i)
(.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/6 (.f32 n1_i (.f32 (.f32 normAngle normAngle) u)))
(.f32 n1_i (.f32 (.f32 (.f32 normAngle normAngle) u) 1/6))
(.f32 n1_i (.f32 1/6 (.f32 (.f32 normAngle normAngle) u)))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(fma.f32 (+.f32 1 (neg.f32 u)) n0_i (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)))) u))
(fma.f32 (fma.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)) n1_i) u (-.f32 n0_i (*.f32 n0_i u)))
(fma.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (.f32 1/6 normAngle) 1)) n0_i) u n0_i)
(fma.f32 (fma.f32 n1_i (.f32 1/6 (.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u n0_i)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(fma.f32 (+.f32 1 (neg.f32 u)) n0_i (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)))) u))
(fma.f32 (fma.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)) n1_i) u (-.f32 n0_i (*.f32 n0_i u)))
(fma.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (.f32 1/6 normAngle) 1)) n0_i) u n0_i)
(fma.f32 (fma.f32 n1_i (.f32 1/6 (.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u n0_i)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(fma.f32 (+.f32 1 (neg.f32 u)) n0_i (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)))) u))
(fma.f32 (fma.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle)) n1_i) u (-.f32 n0_i (*.f32 n0_i u)))
(fma.f32 (-.f32 (.f32 n1_i (fma.f32 normAngle (.f32 1/6 normAngle) 1)) n0_i) u n0_i)
(fma.f32 (fma.f32 n1_i (.f32 1/6 (.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) u n0_i)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i)
✓	0.0b	(/.f32 u (sin.f32 normAngle))
✓	0.1b	(+.f32 n0_i (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
✓	0.1b	(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))

Compiler

Compiled 38 to 9 computations (76.3% saved)

series20.0ms (0.1%)

Counts

4 → 112

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	normAngle	@	0	(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
2.0ms	u	@	0	(+.f32 n0_i (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
1.0ms	normAngle	@	-inf	(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
1.0ms	normAngle	@	inf	(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
1.0ms	normAngle	@	0	(+.f32 n0_i (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`log-prod_binary32`
444×	`pow-prod-down_binary32`
303×	`pow2_binary32`
276×	`fma-def_binary32`
231×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	216	40
2	3096	40

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

Inputs
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(+.f32 n0_i (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(/.f32 u (sin.f32 normAngle))
(.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 normAngle) (/.f32 u (sin.f32 normAngle)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 normAngle) (/.f32 u (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 normAngle) (/.f32 u (sin.f32 normAngle))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 normAngle) (/.f32 u (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 normAngle (/.f32 (sin.f32 normAngle) u))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sin.f32 normAngle) (.f32 normAngle u)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 normAngle u) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 normAngle u)) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 normAngle u) 1) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 normAngle u) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (cbrt.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 normAngle u) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 u) normAngle) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 normAngle (neg.f32 u)) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle u)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 normAngle) (/.f32 u (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 n0_i n0_i) (-.f32 n0_i (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))))) (/.f32 (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 2) (-.f32 n0_i (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i)) (pow.f32 (cbrt.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i)) 2) (cbrt.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i)) (sqrt.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (pow.f32 n0_i 3) (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 3)) (/.f32 1 (fma.f32 n0_i n0_i (.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) (neg.f32 n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 2)) (/.f32 1 (-.f32 n0_i (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 n0_i n0_i (.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) (neg.f32 n0_i)))) (+.f32 (pow.f32 n0_i 3) (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 n0_i (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)))) (-.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 n0_i 3) (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 3)) (fma.f32 n0_i n0_i (.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) (neg.f32 n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 n0_i 3) (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 3)) (+.f32 (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 2) (-.f32 (.f32 n0_i n0_i) (.f32 (.f32 n0_i normAngle) (/.f32 (.f32 u n1_i) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 2)) (-.f32 n0_i (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 n0_i 3) (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 3))) (neg.f32 (fma.f32 n0_i n0_i (.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) (neg.f32 n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 2))) (neg.f32 (-.f32 n0_i (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 2) (.f32 n0_i n0_i)) (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) (neg.f32 n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 n0_i n0_i (.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) (neg.f32 n0_i)))) (+.f32 (pow.f32 n0_i 3) (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 n0_i (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)))) (-.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (+.f32 1 (expm1.f32 n0_i)) (pow.f32 (exp.f32 n1_i) (/.f32 (.f32 normAngle u) (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (exp.f32 n0_i) (+.f32 1 (expm1.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (+.f32 1 (expm1.f32 n0_i)) (+.f32 1 (expm1.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))))) (exp.f32 n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (pow.f32 (exp.f32 n1_i) (/.f32 (.f32 normAngle u) (sin.f32 normAngle))) (+.f32 1 (expm1.f32 n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))))) (+.f32 1 (expm1.f32 n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 u (sin.f32 normAngle)) (.f32 normAngle n1_i) n0_i)))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 u (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 u (sin.f32 normAngle)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 u (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u (sin.f32 normAngle))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 u (sin.f32 normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 u (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 u (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 u (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 u (sin.f32 normAngle))) (cbrt.f32 (pow.f32 (/.f32 u (sin.f32 normAngle)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (/.f32 u (sin.f32 normAngle)) 2)) (cbrt.f32 (/.f32 u (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 u) 2) (.f32 (cbrt.f32 u) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 u (sin.f32 normAngle))) (sqrt.f32 (/.f32 u (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 u) (.f32 (sqrt.f32 u) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 u) (/.f32 1 (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sin.f32 normAngle)) u)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 u) 2) 1) (/.f32 (cbrt.f32 u) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 u) 1) (/.f32 (sqrt.f32 u) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (sin.f32 normAngle)) -2) (/.f32 u (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 u) 2) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (cbrt.f32 (/.f32 u (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 u) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 (sqrt.f32 u) (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sin.f32 normAngle) -1/2) (/.f32 u (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 u) 2) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 u) (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u (sin.f32 normAngle)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u (sin.f32 normAngle)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 u (sin.f32 normAngle))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u (sin.f32 normAngle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 normAngle) u) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 u 3) (pow.f32 (sin.f32 normAngle) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) u) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 u (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 u (sin.f32 normAngle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 u (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 u (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u (sin.f32 normAngle)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 u 3) (pow.f32 (sin.f32 normAngle) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 u (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 u (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 u (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 u (sin.f32 normAngle))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (/.f32 u (sin.f32 normAngle)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (/.f32 u (sin.f32 normAngle)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 u (sin.f32 normAngle)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) u)) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 n1_i) (/.f32 (.f32 normAngle u) (sin.f32 normAngle)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 n1_i) (/.f32 (.f32 normAngle u) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 n1_i) (/.f32 (.f32 normAngle u) (sin.f32 normAngle))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 n1_i) (/.f32 (.f32 normAngle u) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 normAngle u) n1_i) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 n1_i) (/.f32 (.f32 normAngle u) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) (sin.f32 normAngle))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (.f32 normAngle (/.f32 (*.f32 u n1_i) (sin.f32 normAngle))) 3)) 1/3))))))

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

782×	`fma-def_binary32`
597×	`distribute-rgt-neg-in_binary32`
555×	`distribute-lft-neg-in_binary32`
508×	`associate-l_binary32`
482×	`associate-r_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1556
1	280	1519
2	1022	1400
3	5405	1389

Stop Event

1×	node limit

Counts

274 → 199

Calls

Call 1

Inputs
u
(+.f32 (.f32 1/6 (.f32 u (pow.f32 normAngle 2))) u)
(+.f32 (.f32 1/6 (.f32 u (pow.f32 normAngle 2))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/36 u) (.f32 1/120 u)) (pow.f32 normAngle 4))) u))
(+.f32 (.f32 1/6 (.f32 u (pow.f32 normAngle 2))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/720 u) (+.f32 (.f32 -1/5040 u) (.f32 1/6 (+.f32 (.f32 -1/36 u) (.f32 1/120 u))))) (pow.f32 normAngle 6))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/36 u) (*.f32 1/120 u)) (pow.f32 normAngle 4))) u)))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i)))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u)))) (.f32 1/720 (.f32 n1_i u)))) (pow.f32 normAngle 6))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2)))) n0_i))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/.f32 u normAngle)
(+.f32 (.f32 1/6 (.f32 u normAngle)) (/.f32 u normAngle))
(+.f32 (.f32 1/6 (.f32 u normAngle)) (+.f32 (/.f32 u normAngle) (.f32 -1 (.f32 (+.f32 (.f32 -1/36 u) (.f32 1/120 u)) (pow.f32 normAngle 3)))))
(+.f32 (.f32 1/6 (.f32 u normAngle)) (+.f32 (/.f32 u normAngle) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/720 u) (+.f32 (.f32 -1/5040 u) (.f32 1/6 (+.f32 (.f32 -1/36 u) (.f32 1/120 u))))) (pow.f32 normAngle 5))) (.f32 -1 (.f32 (+.f32 (.f32 -1/36 u) (*.f32 1/120 u)) (pow.f32 normAngle 3))))))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) (.f32 -1 (.f32 (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u)))) (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (.f32 1/720 (*.f32 n1_i u)))) (pow.f32 normAngle 6))))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))

Outputs
u
(+.f32 (.f32 1/6 (.f32 u (pow.f32 normAngle 2))) u)
(fma.f32 1/6 (.f32 u (.f32 normAngle normAngle)) u)
(fma.f32 (.f32 1/6 (.f32 u normAngle)) normAngle u)
(+.f32 (.f32 1/6 (.f32 u (pow.f32 normAngle 2))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/36 u) (.f32 1/120 u)) (pow.f32 normAngle 4))) u))
(fma.f32 1/6 (.f32 u (.f32 normAngle normAngle)) (fma.f32 -1 (.f32 (.f32 u -7/360) (pow.f32 normAngle 4)) u))
(fma.f32 1/6 (.f32 u (.f32 normAngle normAngle)) (-.f32 u (.f32 (.f32 u -7/360) (pow.f32 normAngle 4))))
(fma.f32 u (.f32 1/6 (.f32 normAngle normAngle)) (fma.f32 (pow.f32 normAngle 4) (*.f32 u 7/360) u))
(+.f32 (.f32 1/6 (.f32 u (pow.f32 normAngle 2))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/720 u) (+.f32 (.f32 -1/5040 u) (.f32 1/6 (+.f32 (.f32 -1/36 u) (.f32 1/120 u))))) (pow.f32 normAngle 6))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/36 u) (*.f32 1/120 u)) (pow.f32 normAngle 4))) u)))
(fma.f32 1/6 (.f32 u (.f32 normAngle normAngle)) (fma.f32 -1 (.f32 (fma.f32 1/720 u (fma.f32 -1/5040 u (.f32 1/6 (.f32 u -7/360)))) (pow.f32 normAngle 6)) (fma.f32 -1 (.f32 (*.f32 u -7/360) (pow.f32 normAngle 4)) u)))
(fma.f32 1/6 (.f32 u (.f32 normAngle normAngle)) (-.f32 (-.f32 u (.f32 (.f32 u -7/360) (pow.f32 normAngle 4))) (.f32 (+.f32 (.f32 u -7/2160) (*.f32 u 1/840)) (pow.f32 normAngle 6))))
(-.f32 (fma.f32 u (.f32 1/6 (.f32 normAngle normAngle)) (fma.f32 (pow.f32 normAngle 4) (.f32 u 7/360) u)) (.f32 (*.f32 u -31/15120) (pow.f32 normAngle 6)))
(fma.f32 u (.f32 1/6 (.f32 normAngle normAngle)) (fma.f32 (pow.f32 normAngle 4) (.f32 u 7/360) (fma.f32 (pow.f32 normAngle 6) (.f32 u 31/15120) u)))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/.f32 u (/.f32 (sin.f32 normAngle) normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n1_i u n0_i)
(fma.f32 u n1_i n0_i)
(+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(fma.f32 n1_i u (fma.f32 1/6 (.f32 (.f32 u (*.f32 normAngle normAngle)) n1_i) n0_i))
(fma.f32 u n1_i (fma.f32 1/6 (.f32 u (.f32 n1_i (*.f32 normAngle normAngle))) n0_i))
(+.f32 n0_i (.f32 n1_i (fma.f32 (.f32 1/6 (*.f32 u normAngle)) normAngle u)))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i)))
(fma.f32 -1 (.f32 (pow.f32 normAngle 4) (.f32 (.f32 u n1_i) -7/360)) (fma.f32 n1_i u (fma.f32 1/6 (.f32 (.f32 u (.f32 normAngle normAngle)) n1_i) n0_i)))
(-.f32 (fma.f32 u n1_i (fma.f32 1/6 (.f32 u (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) (.f32 (pow.f32 normAngle 4) (.f32 u (.f32 n1_i -7/360))))
(+.f32 n0_i (fma.f32 (pow.f32 normAngle 4) (.f32 n1_i (.f32 u 7/360)) (.f32 n1_i (fma.f32 (.f32 1/6 (*.f32 u normAngle)) normAngle u))))
(+.f32 (fma.f32 u n1_i n0_i) (.f32 (.f32 u n1_i) (+.f32 (.f32 1/6 (.f32 normAngle normAngle)) (*.f32 (pow.f32 normAngle 4) 7/360))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u)))) (.f32 1/720 (.f32 n1_i u)))) (pow.f32 normAngle 6))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2)))) n0_i))))
(fma.f32 -1 (.f32 (pow.f32 normAngle 6) (fma.f32 -1/5040 (.f32 u n1_i) (fma.f32 1/6 (.f32 (.f32 u n1_i) -7/360) (.f32 1/720 (.f32 u n1_i))))) (fma.f32 -1 (.f32 (pow.f32 normAngle 4) (.f32 (.f32 u n1_i) -7/360)) (fma.f32 n1_i u (fma.f32 1/6 (.f32 (.f32 u (.f32 normAngle normAngle)) n1_i) n0_i))))
(-.f32 (-.f32 (fma.f32 u n1_i (fma.f32 1/6 (.f32 u (.f32 n1_i (.f32 normAngle normAngle))) n0_i)) (.f32 (pow.f32 normAngle 4) (.f32 u (.f32 n1_i -7/360)))) (.f32 (pow.f32 normAngle 6) (fma.f32 (.f32 u n1_i) 1/840 (.f32 (.f32 u n1_i) -7/2160))))
(+.f32 (fma.f32 (pow.f32 normAngle 4) (.f32 n1_i (.f32 u 7/360)) (.f32 n1_i (fma.f32 (.f32 1/6 (.f32 u normAngle)) normAngle u))) (-.f32 n0_i (.f32 (pow.f32 normAngle 6) (.f32 (.f32 u n1_i) -31/15120))))
(fma.f32 (pow.f32 normAngle 6) (.f32 (.f32 u n1_i) 31/15120) (+.f32 (fma.f32 u n1_i n0_i) (.f32 (.f32 u n1_i) (+.f32 (.f32 1/6 (.f32 normAngle normAngle)) (*.f32 (pow.f32 normAngle 4) 7/360)))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(/.f32 u normAngle)
(+.f32 (.f32 1/6 (.f32 u normAngle)) (/.f32 u normAngle))
(fma.f32 1/6 (*.f32 u normAngle) (/.f32 u normAngle))
(+.f32 (.f32 1/6 (.f32 u normAngle)) (+.f32 (/.f32 u normAngle) (.f32 -1 (.f32 (+.f32 (.f32 -1/36 u) (.f32 1/120 u)) (pow.f32 normAngle 3)))))
(+.f32 (fma.f32 1/6 (.f32 u normAngle) (/.f32 u normAngle)) (neg.f32 (.f32 (*.f32 u -7/360) (pow.f32 normAngle 3))))
(-.f32 (fma.f32 1/6 (.f32 u normAngle) (/.f32 u normAngle)) (.f32 u (*.f32 -7/360 (pow.f32 normAngle 3))))
(fma.f32 u (.f32 1/6 normAngle) (fma.f32 (pow.f32 normAngle 3) (.f32 u 7/360) (/.f32 u normAngle)))
(+.f32 (.f32 1/6 (.f32 u normAngle)) (+.f32 (/.f32 u normAngle) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/720 u) (+.f32 (.f32 -1/5040 u) (.f32 1/6 (+.f32 (.f32 -1/36 u) (.f32 1/120 u))))) (pow.f32 normAngle 5))) (.f32 -1 (.f32 (+.f32 (.f32 -1/36 u) (*.f32 1/120 u)) (pow.f32 normAngle 3))))))
(+.f32 (fma.f32 1/6 (.f32 u normAngle) (/.f32 u normAngle)) (fma.f32 -1 (.f32 (fma.f32 1/720 u (fma.f32 -1/5040 u (.f32 1/6 (.f32 u -7/360)))) (pow.f32 normAngle 5)) (neg.f32 (.f32 (.f32 u -7/360) (pow.f32 normAngle 3)))))
(fma.f32 1/6 (.f32 u normAngle) (fma.f32 -1 (fma.f32 (+.f32 (.f32 u -7/2160) (.f32 u 1/840)) (pow.f32 normAngle 5) (.f32 u (*.f32 -7/360 (pow.f32 normAngle 3)))) (/.f32 u normAngle)))
(-.f32 (fma.f32 1/6 (.f32 u normAngle) (/.f32 u normAngle)) (fma.f32 u (.f32 (pow.f32 normAngle 3) -7/360) (.f32 (.f32 u -31/15120) (pow.f32 normAngle 5))))
(fma.f32 u (.f32 1/6 normAngle) (fma.f32 (pow.f32 normAngle 3) (.f32 u 7/360) (fma.f32 (pow.f32 normAngle 5) (*.f32 u 31/15120) (/.f32 u normAngle))))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(fma.f32 n1_i u (.f32 1/6 (.f32 (.f32 u (.f32 normAngle normAngle)) n1_i)))
(fma.f32 u n1_i (.f32 1/6 (.f32 u (.f32 n1_i (.f32 normAngle normAngle)))))
(.f32 n1_i (fma.f32 (.f32 1/6 (*.f32 u normAngle)) normAngle u))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(fma.f32 -1 (.f32 (pow.f32 normAngle 4) (.f32 (.f32 u n1_i) -7/360)) (fma.f32 n1_i u (.f32 1/6 (.f32 (.f32 u (*.f32 normAngle normAngle)) n1_i))))
(-.f32 (fma.f32 u n1_i (.f32 1/6 (.f32 u (.f32 n1_i (.f32 normAngle normAngle))))) (.f32 (pow.f32 normAngle 4) (.f32 u (*.f32 n1_i -7/360))))
(fma.f32 (pow.f32 normAngle 4) (.f32 n1_i (.f32 u 7/360)) (.f32 n1_i (fma.f32 (.f32 1/6 (*.f32 u normAngle)) normAngle u)))
(fma.f32 u n1_i (.f32 (.f32 u n1_i) (+.f32 (.f32 1/6 (.f32 normAngle normAngle)) (*.f32 (pow.f32 normAngle 4) 7/360))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) (.f32 -1 (.f32 (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u)))) (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (.f32 1/720 (*.f32 n1_i u)))) (pow.f32 normAngle 6))))))
(fma.f32 -1 (.f32 (pow.f32 normAngle 4) (.f32 (.f32 u n1_i) -7/360)) (fma.f32 n1_i u (fma.f32 1/6 (.f32 (.f32 u (.f32 normAngle normAngle)) n1_i) (neg.f32 (.f32 (pow.f32 normAngle 6) (fma.f32 1/6 (.f32 (.f32 u n1_i) -7/360) (.f32 (*.f32 u n1_i) 1/840)))))))
(-.f32 (-.f32 (fma.f32 u n1_i (.f32 1/6 (.f32 u (.f32 n1_i (.f32 normAngle normAngle))))) (.f32 (pow.f32 normAngle 6) (fma.f32 (.f32 u n1_i) 1/840 (.f32 (.f32 u n1_i) -7/2160)))) (.f32 (pow.f32 normAngle 4) (.f32 u (*.f32 n1_i -7/360))))
(-.f32 (fma.f32 (pow.f32 normAngle 4) (.f32 n1_i (.f32 u 7/360)) (.f32 n1_i (fma.f32 (.f32 1/6 (.f32 u normAngle)) normAngle u))) (.f32 (pow.f32 normAngle 6) (.f32 (.f32 u n1_i) -31/15120)))
(fma.f32 (pow.f32 normAngle 4) (.f32 n1_i (.f32 u 7/360)) (fma.f32 (pow.f32 normAngle 6) (.f32 (.f32 u n1_i) 31/15120) (.f32 n1_i (fma.f32 (.f32 1/6 (*.f32 u normAngle)) normAngle u))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))

eval297.0ms (1.9%)

Compiler: Compiled 13436 to 6093 computations (54.7% saved)

prune149.0ms (0.9%)

Pruning

24 alts after pruning (15 fresh and 9 done)

	Pruned	Kept	Total
New	710	5	715
Fresh	1	10	11
Picked	0	1	1
Done	0	8	8
Total	711	24	735

Error

Counts

735 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	5.4b	(fma.f32 u n1_i n0_i)
	9.1b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	14.0b	(/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (+.f32 u 1))
	20.4b	(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
	0.5b	(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
	14.0b	(-.f32 n0_i (*.f32 u n0_i))
	1.2b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
✓	0.5b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	5.4b	(+.f32 (*.f32 u n1_i) n0_i)
✓	0.6b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	5.8b	(+.f32 n0_i (/.f32 (-.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (.f32 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)))) (-.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (*.f32 1/6 u)))))
	0.4b	(+.f32 n0_i (+.f32 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)) (*.f32 u (-.f32 n1_i n0_i))))
✓	5.3b	(+.f32 n0_i (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
✓	0.4b	(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3))))))
	0.4b	(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (.f32 1/3 n0_i)))))
✓	0.4b	(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))))))
	14.4b	(.f32 (-.f32 1 u) (.f32 n0_i (+.f32 1 (.f32 1/6 (.f32 normAngle normAngle)))))
✓	14.0b	(*.f32 (-.f32 1 u) n0_i)
✓	14.1b	(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i normAngle))
	13.9b	(.f32 (sin.f32 (/.f32 (.f32 (-.f32 1 (*.f32 u u)) normAngle) (+.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
✓	13.9b	(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
	14.2b	(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle)))
✓	19.9b	(*.f32 u n1_i)
	16.7b	n0_i

Compiler

Compiled 389 to 249 computations (36% saved)

regimes277.0ms (1.7%)

Counts

46 → 1

Calls

Call 1

Inputs
n0_i
n0_i
(*.f32 u n1_i)
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 (*.f32 u n1_i) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i normAngle))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (+.f32 u 1))
(.f32 (-.f32 1 u) (.f32 n0_i (+.f32 1 (.f32 1/6 (.f32 normAngle normAngle)))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (.f32 1/3 n0_i)))))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 u 1)))
(+.f32 n0_i (+.f32 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)) (*.f32 u (-.f32 n1_i n0_i))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3))))))
(+.f32 n0_i (/.f32 (-.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (.f32 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)))) (-.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (*.f32 1/6 u)))))
(fma.f32 u n1_i n0_i)
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i (sin.f32 normAngle)))
(+.f32 n0_i (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(-.f32 (+.f32 1 (fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))) 1)
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle)))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i 1/3 (.f32 n1_i 1/6))))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(.f32 (sin.f32 (/.f32 (.f32 (-.f32 1 (*.f32 u u)) normAngle) (+.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(fma.f32 (.f32 (.f32 normAngle normAngle) -1/6) (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 -1 u))) (-.f32 n0_i (.f32 n0_i u)))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 u (*.f32 n1_i normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle))))))
(/.f32 (+.f32 (.f32 (sin.f32 normAngle) n0_i) (.f32 u (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle)))) (sin.f32 normAngle))
(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) (.f32 (.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) n0_i)
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (/.f32 1 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u))))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (fma.f32 (pow.f32 (cbrt.f32 normAngle) 2) (cbrt.f32 normAngle) (.f32 (neg.f32 u) normAngle))) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))

Outputs
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3))))))

Calls

5 calls:

69.0ms	normAngle
65.0ms	n0_i
53.0ms	u
27.0ms	n1_i
24.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))

Results

Error	Segments	Branch
0.4b	1	`normAngle`
0.4b	1	`u`
0.4b	1	`n0_i`
0.4b	1	`n1_i`
0.4b	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 685 to 302 computations (55.9% saved)

regimes47.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

Inputs
n0_i
n0_i
(*.f32 u n1_i)
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 (*.f32 u n1_i) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i normAngle))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (+.f32 u 1))
(.f32 (-.f32 1 u) (.f32 n0_i (+.f32 1 (.f32 1/6 (.f32 normAngle normAngle)))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (.f32 1/3 n0_i)))))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 u 1)))
(+.f32 n0_i (+.f32 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)) (*.f32 u (-.f32 n1_i n0_i))))

Outputs
(+.f32 n0_i (+.f32 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)) (*.f32 u (-.f32 n1_i n0_i))))

Calls

4 calls:

11.0ms	n0_i
11.0ms	n1_i
10.0ms	normAngle
10.0ms	u

Results

Error	Segments	Branch
0.4b	1	`normAngle`
0.4b	1	`u`
0.4b	1	`n0_i`
0.4b	1	`n1_i`

Compiler

Compiled 174 to 83 computations (52.3% saved)

regimes47.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

Inputs
n0_i
n0_i
(*.f32 u n1_i)
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 (*.f32 u n1_i) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i normAngle))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (+.f32 u 1))
(.f32 (-.f32 1 u) (.f32 n0_i (+.f32 1 (.f32 1/6 (.f32 normAngle normAngle)))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (.f32 1/3 n0_i)))))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 u 1)))

Outputs
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))))))

Calls

4 calls:

13.0ms	n0_i
10.0ms	n1_i
10.0ms	normAngle
10.0ms	u

Results

Error	Segments	Branch
0.4b	1	`normAngle`
0.4b	1	`u`
0.4b	1	`n0_i`
0.4b	1	`n1_i`

Compiler

Compiled 157 to 77 computations (51% saved)

regimes95.0ms (0.6%)

Counts

14 → 1

Calls

Call 1

Inputs
n0_i
n0_i
(*.f32 u n1_i)
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 (*.f32 u n1_i) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(.f32 (.f32 normAngle (-.f32 1 u)) (/.f32 n0_i normAngle))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (+.f32 u 1))
(.f32 (-.f32 1 u) (.f32 n0_i (+.f32 1 (.f32 1/6 (.f32 normAngle normAngle)))))

Outputs
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)

Calls

4 calls:

38.0ms	normAngle
34.0ms	n1_i
11.0ms	u
8.0ms	n0_i

Results

Error	Segments	Branch
0.5b	1	`normAngle`
0.5b	1	`u`
0.5b	1	`n0_i`
0.5b	1	`n1_i`

Compiler

Compiled 112 to 58 computations (48.2% saved)

regimes26.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
n0_i
n0_i
(*.f32 u n1_i)
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 (*.f32 u n1_i) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(-.f32 n0_i (*.f32 u n0_i))

Outputs
(+.f32 (*.f32 n1_i u) n0_i)

Calls

4 calls:

7.0ms	u
6.0ms	n0_i
6.0ms	n1_i
5.0ms	normAngle

Results

Error	Segments	Branch
5.4b	1	`normAngle`
5.4b	1	`u`
5.4b	1	`n0_i`
5.4b	1	`n1_i`

Compiler

Compiled 54 to 29 computations (46.3% saved)

regimes82.0ms (0.5%)

Counts

4 → 3

Calls

Call 1

Inputs
n0_i
n0_i
(*.f32 u n1_i)
(*.f32 (-.f32 1 u) n0_i)

Outputs
(*.f32 u n1_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 u n1_i)

Calls

4 calls:

46.0ms	n0_i
19.0ms	u
12.0ms	n1_i
4.0ms	normAngle

Results

Error	Segments	Branch
14.0b	1	`normAngle`
14.0b	1	`u`
10.0b	3	`n0_i`
10.0b	3	`n1_i`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	6.865260271011228e-17	1.4484045022366822e-16
0.0ms	-2.142997601595198e-7	-1.4916329860170663e-7

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes45.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

Inputs
n0_i
n0_i
(*.f32 u n1_i)

Outputs
(*.f32 u n1_i)
n0_i
(*.f32 u n1_i)

Calls

4 calls:

14.0ms	n0_i
12.0ms	n1_i
11.0ms	u
7.0ms	normAngle

Results

Error	Segments	Branch
16.7b	1	`normAngle`
14.4b	2	`u`
12.6b	3	`n0_i`
12.6b	3	`n1_i`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	6.865260271011228e-17	1.4484045022366822e-16
0.0ms	-2.142997601595198e-7	-1.4916329860170663e-7

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes21.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
n0_i
n0_i

Outputs
n0_i

Calls

4 calls:

9.0ms	normAngle
4.0ms	n1_i
4.0ms	u
3.0ms	n0_i

Results

Error	Segments	Branch
16.7b	1	`normAngle`
16.7b	1	`u`
16.7b	1	`n0_i`
16.7b	1	`n1_i`

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary32`
13×	`+-commutative_binary32`
4×	`sub-neg_binary32`
2×	`neg-sub0_binary32`
2×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	141
1	70	141
2	77	141
3	81	141
4	83	141

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3))))))
(+.f32 n0_i (+.f32 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)) (*.f32 u (-.f32 n1_i n0_i))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))))))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(if (<=.f32 n1_i -14073749/70368744177664) (.f32 u n1_i) (if (<=.f32 n1_i 15111573/151115727451828646838272) (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))
(if (<=.f32 n1_i -14073749/70368744177664) (.f32 u n1_i) (if (<=.f32 n1_i 15111573/151115727451828646838272) n0_i (.f32 u n1_i)))
n0_i

Outputs
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3))))))
(+.f32 n0_i (+.f32 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 1/6 u)) (*.f32 u (-.f32 n1_i n0_i))))
(+.f32 n0_i (+.f32 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u 1/6)) (*.f32 u (-.f32 n1_i n0_i))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (.f32 n1_i (.f32 normAngle normAngle))))))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 n0_i (*.f32 u n1_i))
(if (<=.f32 n1_i -14073749/70368744177664) (.f32 u n1_i) (if (<=.f32 n1_i 15111573/151115727451828646838272) (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))
(if (<=.f32 n1_i -14073749/70368744177664) (.f32 u n1_i) (if (<=.f32 n1_i 15111573/151115727451828646838272) (.f32 n0_i (-.f32 1 u)) (*.f32 u n1_i)))
(if (<=.f32 n1_i -14073749/70368744177664) (.f32 u n1_i) (if (<=.f32 n1_i 15111573/151115727451828646838272) n0_i (.f32 u n1_i)))
n0_i

Compiler

Compiled 130 to 82 computations (36.9% saved)

soundness453.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

1069×	`fma-neg_binary32`
903×	`fma-neg_binary32`
738×	`div-sub_binary32`
717×	`fma-def_binary32`
685×	`fma-def_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	38	31
2	88	31
3	177	26
4	266	26
5	317	26
6	387	26
7	491	26
8	753	26
9	889	26
10	1093	26
11	1790	26
12	4011	26
13	5871	26
14	6509	26
15	7205	26
16	7860	26
0	138	2725
1	424	2423
2	1400	1998
3	6186	1989

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 879 to 622 computations (29.2% saved)

end145.0ms (0.9%)

Compiler: Compiled 102 to 45 computations (55.9% saved)

Iter	Nodes	Cost
0	10	244
1	22	244
2	44	244
3	66	244
4	114	244
5	201	244
6	350	244
7	429	244
8	499	244
9	505	244

Iter	Nodes	Cost
0	10	244
1	22	244
2	44	244
3	66	244
4	114	244
5	201	244
6	350	244
7	429	244
8	499	244
9	505	244

Iter	Nodes	Cost
0	10	244
1	22	244
2	44	244
3	66	244
4	114	244
5	201	244
6	350	244
7	429	244
8	499	244
9	505	244