Details

analyze517.0ms (3.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0.8%	99.2%	0
0%	0.8%	99.2%	1
0%	0.8%	99.2%	2
0%	0.8%	99.2%	3
0%	0.8%	99.2%	4
0%	0.8%	99.2%	5
0.2%	0.4%	99.4%	6
0.2%	0.4%	99.4%	7
0.2%	0.4%	99.4%	8
0.2%	0.4%	99.4%	9
0.3%	0.2%	99.5%	10
0.3%	0.2%	99.5%	11
0.3%	0.2%	99.5%	12

Compiler

Compiled 62 to 45 computations (27.4% saved)

sample6.0s (42%)

Results

4.5s	8256×	body	256	valid
1.4s	2037×	body	256	invalid

preprocess276.0ms (1.9%)

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)

simplify106.0ms (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))

eval1.0ms (0%)

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

prune2.0ms (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

0.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.0b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
▶	0.9b	(+.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

▶

7.0b

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

▶

0.9b

(+.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)

localize119.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
✓	0.2b	(*.f32 (-.f32 1 u) normAngle)
✓	0.6b	(.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)

series26.0ms (0.2%)

Counts

4 → 96

Calls

27 calls:

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

rewrite81.0ms (0.6%)

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))))))

simplify96.0ms (0.7%)

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)))

localize49.0ms (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)
✓	7.0b	(/.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)

series29.0ms (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	n1_i	@	0	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
2.0ms	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))

rewrite92.0ms (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
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(/.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 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((#(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 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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)))))

simplify105.0ms (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)

eval264.0ms (1.9%)

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

prune186.0ms (1.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	406	18	424
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	408	18	426

Error

Counts

426 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	6.4b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
▶	0.8b	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
	1.0b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	7.9b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	7.1b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 n1_i (*.f32 u normAngle))) (sin.f32 normAngle))
▶	0.9b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	1.1b	(+.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
▶	16.3b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
	3.3b	(+.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))))))
	7.0b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
▶	7.1b	(.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)))
	19.6b	(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
	17.4b	n0_i
	1.0b	(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) normAngle) (+.f32 u 1))) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
▶	16.3b	(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
	20.4b	(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))))
	21.6b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	1.0b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))

Compiler

Compiled 683 to 442 computations (35.3% saved)

localize96.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series14.0ms (0.1%)

Counts

3 → 72

Calls

21 calls:

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

rewrite86.0ms (0.6%)

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	22
1	153	22
2	2146	22

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

Outputs

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

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

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

simplify133.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

261×	`fma-def_binary32`
250×	`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	30	553
1	77	472
2	141	472
3	395	472
4	837	472
5	1126	472
6	1235	472
7	1238	472

Stop Event

1×

saturated

Counts

146 → 94

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 (.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)
(-.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 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)

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

localize59.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
✓	0.2b	(*.f32 (-.f32 1 u) n0_i)

Compiler

Compiled 28 to 15 computations (46.4% saved)

series12.0ms (0.1%)

Counts

2 → 30

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	u	@	inf	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
1.0ms	u	@	0	(*.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 1 u) n0_i)
1.0ms	n1_i	@	0	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))

rewrite98.0ms (0.7%)

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

Outputs

((#(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 1 u) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 3))) (fma.f32 u (+.f32 1 u) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n0_i (-.f32 1 (*.f32 u u))) (+.f32 1 u))))) (#(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)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (*.f32 u n1_i) 2) (-.f32 (*.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) (/.f32 (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2) (-.f32 (*.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))) (pow.f32 (cbrt.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))) 2) (cbrt.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))) (sqrt.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (*.f32 u n1_i) 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 u n1_i)) (pow.f32 (*.f32 u n1_i) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (pow.f32 (*.f32 u n1_i) 2) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2)) (/.f32 1 (-.f32 (*.f32 u n1_i) (*.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 u n1_i)) (pow.f32 (*.f32 u n1_i) 2)) (+.f32 (pow.f32 (*.f32 u n1_i) 3) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (*.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) (-.f32 (pow.f32 (*.f32 u n1_i) 2) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 u n1_i) 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 u n1_i)) (pow.f32 (*.f32 u n1_i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 u n1_i) 3) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 3)) (+.f32 (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2) (-.f32 (pow.f32 (*.f32 u n1_i) 2) (*.f32 u (*.f32 n1_i (*.f32 (-.f32 1 u) n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (*.f32 u n1_i) 2) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2)) (-.f32 (*.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 u n1_i) 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 u n1_i)) (pow.f32 (*.f32 u n1_i) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 u n1_i) 2) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2))) (neg.f32 (-.f32 (*.f32 u n1_i) (*.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 u n1_i) 2)) (-.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 u n1_i (*.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 u n1_i)) (pow.f32 (*.f32 u n1_i) 2)) (+.f32 (pow.f32 (*.f32 u n1_i) 3) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 (*.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) (-.f32 (pow.f32 (*.f32 u n1_i) 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 u n1_i (*.f32 (-.f32 1 u) n0_i)))) 2)) (cbrt.f32 (log.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))))) (sqrt.f32 (log.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 u n1_i (*.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 u) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (pow.f32 (exp.f32 (-.f32 1 u)) n0_i) (+.f32 1 (expm1.f32 (*.f32 u n1_i)))))))) (#(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 u n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 u n1_i))) (pow.f32 (exp.f32 (-.f32 1 u)) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (pow.f32 (exp.f32 u) n1_i) (+.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 u n1_i))) (+.f32 1 (expm1.f32 (*.f32 (-.f32 1 u) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 u n1_i) (*.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 1 u) n0_i (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 n0_i (-.f32 1 u) (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (-.f32 1 u) n0_i) 1 (*.f32 u n1_i))))) (#(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 (*.f32 u n1_i) 1 (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 u n1_i)) (pow.f32 (cbrt.f32 (*.f32 u n1_i)) 2) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 u n1_i)) 2) (cbrt.f32 (*.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 u n1_i))))) (#(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 u n1_i))))) (#(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 u n1_i))))) (#(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 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 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 u n1_i)) (sqrt.f32 (*.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 u n1_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 u n1_i))))) (#(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 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 u n1_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 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 (-.f32 1 u) (pow.f32 (cbrt.f32 n0_i) 2)) (cbrt.f32 n0_i) (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (-.f32 1 u) (sqrt.f32 n0_i)) (sqrt.f32 n0_i) (*.f32 u n1_i))))) (#(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 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 n0_i (sqrt.f32 (-.f32 1 u))) (sqrt.f32 (-.f32 1 u)) (*.f32 u n1_i))))))

simplify115.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

333×	`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	230
1	55	196
2	118	196
3	231	196
4	504	196
5	859	196
6	1132	196
7	1201	196
8	1203	196

Stop Event

1×

saturated

Counts

152 → 136

Calls

Call 1

Inputs
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 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)

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

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
	0.0b	(-.f32 normAngle (*.f32 u normAngle))
✓	0.1b	(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
✓	10.2b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))

Compiler

Compiled 42 to 10 computations (76.2% saved)

series12.0ms (0.1%)

Counts

3 → 36

Calls

24 calls:

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

rewrite127.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`prod-diff_binary32`
653×	`log-prod_binary32`
283×	`fma-def_binary32`
223×	`pow1/3_binary32`
218×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	224	38
2	3308	38

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (fma.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (cos.f32 normAngle) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (fma.f32 (neg.f32 (cos.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (fma.f32 (neg.f32 (sqrt.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 normAngle u))))) (sqrt.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 normAngle) (cos.f32 (*.f32 normAngle u))) (neg.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 normAngle) (cos.f32 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(cos.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u)))) (sqrt.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u)))) (fma.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (cos.f32 normAngle) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle) (neg.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle) (*.f32 (neg.f32 (cos.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (cbrt.f32 (*.f32 (sin.f32 normAngle) (cos.f32 (*.f32 normAngle u)))) (cbrt.f32 (*.f32 (sin.f32 normAngle) (cos.f32 (*.f32 normAngle u))))) (cbrt.f32 (*.f32 (sin.f32 normAngle) (cos.f32 (*.f32 normAngle u)))) (neg.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (cbrt.f32 (*.f32 (sin.f32 normAngle) (cos.f32 (*.f32 normAngle u)))) (cbrt.f32 (*.f32 (sin.f32 normAngle) (cos.f32 (*.f32 normAngle u))))) (cbrt.f32 (*.f32 (sin.f32 normAngle) (cos.f32 (*.f32 normAngle u)))) (*.f32 (neg.f32 (cos.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 (sin.f32 normAngle) (cos.f32 (*.f32 normAngle u)))) (sqrt.f32 (*.f32 (sin.f32 normAngle) (cos.f32 (*.f32 normAngle u)))) (neg.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 (sin.f32 normAngle) (cos.f32 (*.f32 normAngle u)))) (sqrt.f32 (*.f32 (sin.f32 normAngle) (cos.f32 (*.f32 normAngle u)))) (*.f32 (neg.f32 (cos.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))))))

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

799×	`fma-neg_binary32`
526×	`distribute-rgt-neg-out_binary32`
433×	`*-commutative_binary32`
317×	`unsub-neg_binary32`
232×	`unswap-sqr_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	1150
1	432	1075
2	1579	1023
3	4478	1021

Stop Event

1×	node limit

Counts

176 → 191

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

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

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f32 u (neg.f32 normAngle) normAngle)
✓	0.0b	(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
✓	0.1b	(*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))
✓	10.2b	(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))

Compiler

Compiled 41 to 10 computations (75.6% saved)

series41.0ms (0.3%)

Counts

4 → 108

Calls

30 calls:

Time	Variable		Point	Expression
18.0ms	normAngle	@	inf	(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
8.0ms	u	@	inf	(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
2.0ms	n0_i	@	0	(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
2.0ms	normAngle	@	0	(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
1.0ms	normAngle	@	-inf	(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`log-prod_binary32`
410×	`exp-prod_binary32`
380×	`prod-diff_binary32`
305×	`pow-prod-down_binary32`
257×	`pow2_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	207	37
2	2794	37

Stop Event

1×	node limit

Counts

4 → 198

Calls

Call 1

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

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

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

676×	`fma-neg_binary32`
493×	`cancel-sign-sub-inv_binary32`
427×	`*-commutative_binary32`
269×	`distribute-rgt-neg-out_binary32`
248×	`unsub-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	2172
1	454	1932
2	1588	1883
3	4480	1879

Stop Event

1×	node limit

Counts

306 → 259

Calls

Call 1

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

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

localize94.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f32 normAngle (*.f32 normAngle u))
✓	0.1b	(fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))
✓	0.1b	(.f32 (sin.f32 (.f32 normAngle u)) n1_i)
✓	7.1b	(.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)))

Compiler

Compiled 72 to 17 computations (76.4% saved)

series23.0ms (0.2%)

Counts

4 → 156

Calls

39 calls:

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

rewrite218.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`log-prod_binary32`
331×	`fma-def_binary32`
294×	`pow1/3_binary32`
288×	`expm1-udef_binary32`
288×	`log1p-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	63
1	316	63
2	4176	63

Stop Event

1×	node limit

Counts

4 → 190

Calls

Call 1

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

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

simplify263.0ms (1.8%)

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	3478
1	513	3405
2	1837	3374
3	6190	3374

Stop Event

1×	node limit

Counts

346 → 250

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

eval713.0ms (5%)

Compiler: Compiled 23839 to 9308 computations (61% saved)

prune326.0ms (2.3%)

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	1023	23	1046
Fresh	6	7	13
Picked	1	0	1
Done	1	3	4
Total	1031	33	1064

Error

Counts

1064 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	7.2b	(.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 u (.f32 n1_i normAngle))) (/.f32 1 (sin.f32 normAngle)))
✓	0.8b	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
	6.4b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	22.8b	(-.f32 (+.f32 1 (fma.f32 n1_i u (-.f32 n0_i (*.f32 n0_i u)))) 1)
▶	1.0b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	7.9b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	7.1b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 n1_i (*.f32 u normAngle))) (sin.f32 normAngle))
✓	0.9b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
▶	6.3b	(fma.f32 n1_i u n0_i)
	13.3b	(*.f32 (-.f32 1 u) n0_i)
	8.1b	(.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle) (/.f32 1 (sin.f32 normAngle)))
✓	16.3b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
▶	21.6b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	18.6b	(+.f32 (.f32 n1_i u) (pow.f32 (sqrt.f32 (.f32 (-.f32 1 u) n0_i)) 2))
	0.9b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	14.1b	(-.f32 n0_i (.f32 (.f32 u (*.f32 n0_i normAngle)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
	23.5b	(exp.f32 (log.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))))
	7.0b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	6.3b	(+.f32 (*.f32 n1_i u) n0_i)
	13.2b	(-.f32 n0_i (*.f32 u n0_i))
	19.0b	(+.f32 (.f32 n1_i u) (exp.f32 (log.f32 (.f32 (-.f32 1 u) n0_i))))
	1.0b	(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) normAngle) (+.f32 u 1))) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
▶	19.4b	(*.f32 u n1_i)
	0.9b	(-.f32 (+.f32 (.f32 u n1_i) n0_i) (.f32 n0_i u))
	1.0b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
	1.0b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
	17.4b	n0_i
▶	0.8b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
	5.8b	(fma.f32 n1_i u (/.f32 (-.f32 (.f32 n0_i n0_i) (.f32 (.f32 n0_i (neg.f32 u)) (.f32 n0_i (neg.f32 u)))) (-.f32 n0_i (*.f32 n0_i (neg.f32 u)))))
	19.6b	(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
	14.5b	(+.f32 (.f32 n1_i u) (log.f32 (+.f32 1 (expm1.f32 (.f32 (-.f32 1 u) n0_i)))))
	16.8b	(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
	3.3b	(+.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))))))

Compiler

Compiled 1009 to 668 computations (33.8% saved)

localize79.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 6 computations (62.5% saved)

series7.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary32`
686×	`add-log-exp_binary32`
686×	`log1p-expm1-u_binary32`
686×	`expm1-log1p-u_binary32`
670×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	130	8
2	1797	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	267
1	56	264
2	109	264
3	188	264
4	348	264
5	648	264
6	1031	264
7	1270	264
8	1389	264
9	1391	264

Stop Event

1×

saturated

Counts

57 → 33

Calls

Call 1

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

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

localize9.0ms (0.1%)

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

localize11.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 u normAngle)
✓	0.0b	(sin.f32 (*.f32 u normAngle))
	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
✓	11.8b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))

Compiler

Compiled 31 to 9 computations (71% saved)

series10.0ms (0.1%)

Counts

3 → 16

Calls

21 calls:

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

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary32`
399×	`exp-prod_binary32`
313×	`pow-prod-down_binary32`
277×	`prod-diff_binary32`
251×	`pow2_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	183	24
2	2438	24

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

522×	`associate-l_binary32`
464×	`associate-r_binary32`
407×	`distribute-rgt-in_binary32`
381×	`distribute-lft-in_binary32`
377×	`cancel-sign-sub-inv_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	623
1	242	584
2	823	568
3	3974	532

Stop Event

1×	node limit

Counts

131 → 137

Calls

Call 1

Inputs
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))))
(+.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))) (.f32 1/120 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/5040 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 7) (pow.f32 normAngle 7))) (sin.f32 normAngle))) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle))))))
(*.f32 n1_i u)
(+.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 n1_i u))
(+.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 n1_i u)))
(+.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 n1_i u))))
(*.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 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 (*.f32 u normAngle) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))))
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 u normAngle))) (/.f32 (.f32 -1/6 (.f32 (.f32 n1_i (pow.f32 u 3)) (pow.f32 normAngle 3))) (sin.f32 normAngle)))
(fma.f32 -1/6 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (/.f32 (.f32 u normAngle) (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 -1/6 (.f32 (/.f32 (.f32 n1_i (pow.f32 u 3)) (sin.f32 normAngle)) (pow.f32 normAngle 3)) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (fma.f32 u normAngle (.f32 -1/6 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))))
(+.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))) (.f32 1/120 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle)))))
(+.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)))) (.f32 1/120 (/.f32 (.f32 (*.f32 n1_i (pow.f32 u 5)) (pow.f32 normAngle 5)) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 u normAngle) (/.f32 (sin.f32 normAngle) n1_i)) (fma.f32 -1/6 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (.f32 1/120 (.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (pow.f32 u 5) (pow.f32 normAngle 5))))))
(fma.f32 -1/6 (.f32 (/.f32 (.f32 n1_i (pow.f32 u 3)) (sin.f32 normAngle)) (pow.f32 normAngle 3)) (fma.f32 1/120 (.f32 (/.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (sin.f32 normAngle)) n1_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)))
(fma.f32 -1/6 (.f32 (/.f32 (.f32 n1_i (pow.f32 u 3)) (sin.f32 normAngle)) (pow.f32 normAngle 3)) (.f32 (/.f32 n1_i (sin.f32 normAngle)) (fma.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (*.f32 u normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/5040 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 7) (pow.f32 normAngle 7))) (sin.f32 normAngle))) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle))))))
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 u normAngle))) (fma.f32 -1/5040 (/.f32 (.f32 (.f32 n1_i (pow.f32 u 7)) (pow.f32 normAngle 7)) (sin.f32 normAngle)) (fma.f32 -1/6 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (.f32 1/120 (/.f32 (.f32 (*.f32 n1_i (pow.f32 u 5)) (pow.f32 normAngle 5)) (sin.f32 normAngle))))))
(+.f32 (/.f32 (.f32 u normAngle) (/.f32 (sin.f32 normAngle) n1_i)) (fma.f32 -1/5040 (.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (pow.f32 u 7) (pow.f32 normAngle 7))) (fma.f32 -1/6 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (.f32 1/120 (.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))))))
(fma.f32 -1/5040 (.f32 (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)) (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 -1/6 (.f32 (/.f32 (.f32 n1_i (pow.f32 u 3)) (sin.f32 normAngle)) (pow.f32 normAngle 3)) (fma.f32 1/120 (.f32 (/.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (sin.f32 normAngle)) n1_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))))
(+.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) (fma.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))))) (.f32 (/.f32 n1_i (sin.f32 normAngle)) (fma.f32 u normAngle (.f32 (pow.f32 normAngle 7) (*.f32 -1/5040 (pow.f32 u 7))))))
(*.f32 n1_i u)
(+.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 n1_i u))
(fma.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))) (.f32 normAngle normAngle) (*.f32 n1_i u))
(fma.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) (.f32 normAngle normAngle) (.f32 n1_i u))
(fma.f32 n1_i u (.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) (.f32 normAngle (.f32 normAngle -1/6))))
(fma.f32 -1/6 (.f32 (.f32 normAngle normAngle) (.f32 n1_i (-.f32 (pow.f32 u 3) u))) (.f32 n1_i u))
(+.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 n1_i u)))
(fma.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 (.f32 1/120 n1_i) (pow.f32 u 5)) (fma.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))) (.f32 (.f32 1/120 n1_i) u))) (pow.f32 normAngle 4) (.f32 n1_i u)))
(fma.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 (pow.f32 u 5) (.f32 n1_i 1/120)) (fma.f32 1/120 (.f32 n1_i u) (.f32 1/36 (.f32 n1_i (-.f32 (pow.f32 u 3) u))))) (pow.f32 normAngle 4) (*.f32 n1_i u)))
(fma.f32 normAngle (.f32 normAngle (.f32 n1_i (.f32 (-.f32 (pow.f32 u 3) u) -1/6))) (fma.f32 (+.f32 (.f32 (.f32 n1_i 1/120) (-.f32 (pow.f32 u 5) u)) (.f32 -1/36 (.f32 n1_i (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 4) (.f32 n1_i u)))
(fma.f32 (fma.f32 n1_i (.f32 1/120 (-.f32 (pow.f32 u 5) u)) (.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) -1/36)) (pow.f32 normAngle 4) (fma.f32 -1/6 (.f32 (.f32 normAngle normAngle) (.f32 n1_i (-.f32 (pow.f32 u 3) u))) (*.f32 n1_i u)))
(+.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 n1_i u))))
(fma.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 (.f32 1/120 n1_i) (pow.f32 u 5)) (fma.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))) (.f32 (.f32 1/120 n1_i) u))) (pow.f32 normAngle 4) (fma.f32 (-.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (fma.f32 -1/5040 (.f32 n1_i u) (fma.f32 -1/6 (-.f32 (.f32 (.f32 1/120 n1_i) (pow.f32 u 5)) (fma.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))) (.f32 (.f32 1/120 n1_i) u))) (.f32 1/120 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))))))) (pow.f32 normAngle 6) (.f32 n1_i u))))
(fma.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 (pow.f32 u 5) (.f32 n1_i 1/120)) (fma.f32 1/120 (.f32 n1_i u) (.f32 1/36 (.f32 n1_i (-.f32 (pow.f32 u 3) u))))) (pow.f32 normAngle 4) (fma.f32 (-.f32 (.f32 (.f32 n1_i -1/5040) (-.f32 (pow.f32 u 7) u)) (fma.f32 -1/6 (-.f32 (.f32 (pow.f32 u 5) (.f32 n1_i 1/120)) (fma.f32 1/120 (.f32 n1_i u) (.f32 1/36 (.f32 n1_i (-.f32 (pow.f32 u 3) u))))) (.f32 -1/720 (.f32 n1_i (-.f32 (pow.f32 u 3) u))))) (pow.f32 normAngle 6) (.f32 n1_i u))))
(fma.f32 normAngle (.f32 normAngle (.f32 n1_i (.f32 (-.f32 (pow.f32 u 3) u) -1/6))) (fma.f32 (+.f32 (.f32 (.f32 n1_i 1/120) (-.f32 (pow.f32 u 5) u)) (.f32 -1/36 (.f32 n1_i (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 4) (fma.f32 (+.f32 (fma.f32 -1/5040 (.f32 n1_i (-.f32 (pow.f32 u 7) u)) (.f32 1/720 (.f32 n1_i (-.f32 (pow.f32 u 3) u)))) (.f32 1/6 (+.f32 (.f32 (.f32 n1_i 1/120) (-.f32 (pow.f32 u 5) u)) (.f32 -1/36 (.f32 n1_i (-.f32 (pow.f32 u 3) u)))))) (pow.f32 normAngle 6) (.f32 n1_i u))))
(fma.f32 normAngle (.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) (.f32 -1/6 normAngle)) (fma.f32 (+.f32 (fma.f32 n1_i (.f32 -1/5040 (-.f32 (pow.f32 u 7) u)) (.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) 1/720)) (.f32 (fma.f32 n1_i (.f32 1/120 (-.f32 (pow.f32 u 5) u)) (.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) -1/36)) 1/6)) (pow.f32 normAngle 6) (fma.f32 (fma.f32 n1_i (.f32 1/120 (-.f32 (pow.f32 u 5) u)) (.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) -1/36)) (pow.f32 normAngle 4) (.f32 n1_i u))))
(*.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 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (fma.f32 u normAngle (.f32 1/120 (*.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))))
(fma.f32 u normAngle (fma.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (.f32 -1/6 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))))
(+.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 -1/5040 (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)) (fma.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (fma.f32 u normAngle (.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))))))
(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))))
(fma.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (fma.f32 (pow.f32 normAngle 7) (.f32 -1/5040 (pow.f32 u 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 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (fma.f32 u normAngle (.f32 1/120 (*.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))))
(fma.f32 u normAngle (fma.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (.f32 -1/6 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))))
(+.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 -1/5040 (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)) (fma.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (fma.f32 u normAngle (.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))))))
(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))))
(fma.f32 -1/6 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (fma.f32 (pow.f32 normAngle 7) (.f32 -1/5040 (pow.f32 u 7)) (fma.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (.f32 u normAngle))))

localize61.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 1 (sin.f32 normAngle))
	0.0b	(-.f32 n0_i (*.f32 u n0_i))
✓	0.1b	(+.f32 (-.f32 n0_i (.f32 u 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 67 to 24 computations (64.2% saved)

series7.0ms (0.1%)

Counts

2 → 52

Calls

15 calls:

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

rewrite94.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`log-prod_binary32`
769×	`fma-def_binary32`
335×	`fma-neg_binary32`
294×	`expm1-udef_binary32`
294×	`log1p-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	325	27
2	4631	27

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

481×	`fma-neg_binary32`
441×	`fma-def_binary32`
422×	`distribute-rgt-in_binary32`
411×	`cancel-sign-sub-inv_binary32`
403×	`associate-r_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1197
1	310	1158
2	933	1138
3	4338	1127

Stop Event

1×	node limit

Counts

162 → 145

Calls

Call 1

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

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 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (.f32 (-.f32 1 u) n0_i) (/.f32 (.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(fma.f32 (-.f32 1 u) n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 n0_i (-.f32 1 u) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i) (.f32 u n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (/.f32 (.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(fma.f32 (-.f32 1 u) n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 n0_i (-.f32 1 u) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i) (.f32 u n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (/.f32 (.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(fma.f32 (-.f32 1 u) n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 n0_i (-.f32 1 u) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i) (.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(*.f32 n0_i (-.f32 1 u))
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (/.f32 (.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(fma.f32 (-.f32 1 u) n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 n0_i (-.f32 1 u) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i) (.f32 u n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (/.f32 (.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(fma.f32 (-.f32 1 u) n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 n0_i (-.f32 1 u) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i) (.f32 u n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (/.f32 (.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(fma.f32 (-.f32 1 u) n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
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n0_i
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(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i) (.f32 u n0_i))
(-.f32 (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))) (*.f32 n0_i u))
(fma.f32 (-.f32 1 u) n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 n0_i (-.f32 1 u) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i) (.f32 u n0_i))
(-.f32 (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))) (*.f32 n0_i u))
(fma.f32 (-.f32 1 u) n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 n0_i (-.f32 1 u) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i) (.f32 u n0_i))
(-.f32 n0_i (*.f32 n0_i u))
(*.f32 n0_i (-.f32 1 u))
(-.f32 n0_i (*.f32 u n0_i))
(-.f32 (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))) (*.f32 n0_i u))
(fma.f32 (-.f32 1 u) n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 n0_i (-.f32 1 u) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i) (.f32 u n0_i))
(-.f32 (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))) (*.f32 n0_i u))
(fma.f32 (-.f32 1 u) n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 n0_i (-.f32 1 u) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i) (.f32 u n0_i))
(-.f32 (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))) (*.f32 n0_i u))
(fma.f32 (-.f32 1 u) n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 n0_i (-.f32 1 u) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i) (.f32 u n0_i))
(/.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 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(-.f32 (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))) (*.f32 n0_i u))
(fma.f32 (-.f32 1 u) n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 n0_i (-.f32 1 u) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i) (.f32 u n0_i))
(-.f32 (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))) (*.f32 n0_i u))
(fma.f32 (-.f32 1 u) n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 n0_i (-.f32 1 u) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i) (.f32 u n0_i))
(-.f32 (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))) (*.f32 n0_i u))
(fma.f32 (-.f32 1 u) n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 n0_i (-.f32 1 u) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i) (.f32 u n0_i))
(/.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 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(-.f32 (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))) (*.f32 n0_i u))
(fma.f32 (-.f32 1 u) n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 n0_i (-.f32 1 u) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i) (.f32 u n0_i))
(-.f32 (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))) (*.f32 n0_i u))
(fma.f32 (-.f32 1 u) n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 n0_i (-.f32 1 u) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i) (.f32 u n0_i))
(-.f32 (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))) (*.f32 n0_i u))
(fma.f32 (-.f32 1 u) n0_i (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 n0_i (-.f32 1 u) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i) (.f32 u 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 normAngle 1/6 (*.f32 (pow.f32 normAngle 3) 7/360)))
(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 normAngle 1/6 (*.f32 (pow.f32 normAngle 3) 7/360)) (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))))

eval113.0ms (0.8%)

Compiler: Compiled 8812 to 3100 computations (64.8% saved)

prune106.0ms (0.7%)

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	422	11	433
Fresh	10	15	25
Picked	1	0	1
Done	1	6	7
Total	434	32	466

Error

Counts

466 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	7.2b	(.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 u (.f32 n1_i normAngle))) (/.f32 1 (sin.f32 normAngle)))
✓	0.8b	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
▶	7.8b	(/.f32 (-.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (.f32 n0_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))
▶	7.1b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 n1_i (*.f32 u normAngle))) (sin.f32 normAngle))
✓	0.9b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
✓	6.3b	(fma.f32 n1_i u n0_i)
▶	1.3b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle))) n1_i))
▶	13.3b	(*.f32 (-.f32 1 u) n0_i)
	1.0b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	19.7b	(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
▶	0.4b	(fma.f32 u (-.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) n0_i) n0_i)
✓	16.3b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
	4.0b	(-.f32 (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))) (*.f32 n0_i u))
	2.7b	(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
	14.5b	(+.f32 (.f32 n1_i u) (log.f32 (+.f32 1 (expm1.f32 (.f32 (-.f32 1 u) n0_i)))))
	22.8b	(-.f32 (+.f32 1 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) 1)
	14.1b	(-.f32 n0_i (.f32 (.f32 u (*.f32 n0_i normAngle)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
	23.5b	(exp.f32 (log.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))))
	7.0b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	6.3b	(+.f32 (*.f32 n1_i u) n0_i)
	13.2b	(-.f32 n0_i (*.f32 u n0_i))
	1.0b	(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) normAngle) (+.f32 u 1))) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
✓	19.4b	(*.f32 u n1_i)
	3.3b	(+.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))))))
	19.6b	(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
	0.9b	(-.f32 (+.f32 (.f32 u n1_i) n0_i) (.f32 n0_i u))
	1.0b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
	1.0b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
✓	0.8b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
	0.9b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	17.4b	n0_i
	16.8b	(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))

Compiler

Compiled 948 to 612 computations (35.4% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 9 computations (76.9% saved)

series39.0ms (0.3%)

Counts

4 → 112

Calls

30 calls:

Time	Variable		Point	Expression
24.0ms	normAngle	@	-inf	(fma.f32 u (-.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) n0_i) n0_i)
1.0ms	normAngle	@	-inf	(*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)
1.0ms	normAngle	@	inf	(*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)
1.0ms	normAngle	@	0	(*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)
1.0ms	u	@	0	(fma.f32 u (-.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) n0_i) n0_i)

rewrite110.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`prod-diff_binary32`
582×	`log-prod_binary32`
306×	`pow2_binary32`
290×	`fma-def_binary32`
212×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	217	43
2	3049	43

Stop Event

1×	node limit

Counts

4 → 221

Calls

Call 1

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

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

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

710×	`distribute-rgt-in_binary32`
679×	`distribute-lft-in_binary32`
639×	`fma-def_binary32`
529×	`associate--l+_binary32`
294×	`distribute-rgt-neg-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1523
1	261	1488
2	801	1461
3	3763	1428

Stop Event

1×	node limit

Counts

333 → 270

Calls

Call 1

Inputs
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 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
n0_i
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(+.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 -1 (.f32 u (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) (pow.f32 normAngle 4)))) (+.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 -1 (.f32 u (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) (pow.f32 normAngle 4)))) (+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.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))) (.f32 u (pow.f32 normAngle 6)))) (+.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)) (+.f32 n0_i (.f32 -1 (.f32 n0_i u))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (.f32 n0_i u))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (.f32 n0_i u))))
(/.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 n0_i u))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (.f32 n0_i u))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (.f32 n0_i u))))
(+.f32 (.f32 -1 (.f32 n0_i u)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (.f32 n0_i u))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (.f32 n0_i u))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (.f32 n0_i u))))
(/.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 n0_i u))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (.f32 n0_i u))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (.f32 n0_i u))))
(/.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 n0_i u))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (.f32 n0_i u))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (.f32 n0_i u))))
(/.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 u)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 (-.f32 u 1) n0_i)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 (-.f32 u 1) n0_i)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 (-.f32 u 1) n0_i)))
(-.f32 n1_i n0_i)
(-.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) n0_i)
(-.f32 (+.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))))) n0_i)
(-.f32 (+.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)))))) n0_i)
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(*.f32 -1 n0_i)
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(*.f32 -1 n0_i)
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(*.f32 -1 n0_i)
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 n0_i))
1
(+.f32 (*.f32 1/6 (pow.f32 normAngle 2)) 1)
(+.f32 (.f32 1/6 (pow.f32 normAngle 2)) (+.f32 (.f32 7/360 (pow.f32 normAngle 4)) 1))
(+.f32 (.f32 1/6 (pow.f32 normAngle 2)) (+.f32 (.f32 7/360 (pow.f32 normAngle 4)) (+.f32 1 (*.f32 31/15120 (pow.f32 normAngle 6)))))

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

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(*.f32 (-.f32 1 u) n0_i)

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (.f32 n0_i n0_i))
✓	0.1b	(*.f32 u (-.f32 n1_i n0_i))
✓	0.3b	(.f32 (.f32 u (-.f32 n1_i n0_i)) (*.f32 u (-.f32 n1_i n0_i)))
✓	7.2b	(/.f32 (-.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (.f32 n0_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))

Compiler

Compiled 74 to 11 computations (85.1% saved)

series23.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	n0_i	@	-inf	(/.f32 (-.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (.f32 n0_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))
2.0ms	n1_i	@	0	(/.f32 (-.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (.f32 n0_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))
2.0ms	n0_i	@	inf	(/.f32 (-.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (.f32 n0_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))
1.0ms	u	@	0	(/.f32 (-.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (.f32 n0_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))
1.0ms	n1_i	@	inf	(/.f32 (-.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (.f32 n0_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))

rewrite103.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`log-prod_binary32`
466×	`fma-neg_binary32`
243×	`expm1-udef_binary32`
243×	`log1p-udef_binary32`
231×	`pow3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	269	41
2	4413	41

Stop Event

1×	node limit

Counts

4 → 241

Calls

Call 1

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

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

simplify128.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

434×	`cancel-sign-sub-inv_binary32`
393×	`associate-/r/_binary32`
363×	`distribute-rgt-in_binary32`
330×	`distribute-lft-in_binary32`
280×	`associate-*l/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	4218
1	858	3790
2	3056	3460

Stop Event

1×	node limit

Counts

385 → 316

Calls

Call 1

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

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

localize92.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f32 n0_i (*.f32 u n0_i))
✓	0.1b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle))) n1_i))
✓	0.3b	(*.f32 1/6 normAngle)
✓	1.6b	(.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))

Compiler

Compiled 84 to 40 computations (52.4% saved)

series27.0ms (0.2%)

Counts

3 → 64

Calls

21 calls:

Time	Variable		Point	Expression
15.0ms	n1_i	@	0	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle))) n1_i))
1.0ms	u	@	0	(.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))
1.0ms	n1_i	@	inf	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle))) n1_i))
1.0ms	u	@	inf	(.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))
1.0ms	normAngle	@	0	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle))) n1_i))

rewrite102.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

440×	`fma-neg_binary32`
343×	`expm1-udef_binary32`
343×	`log1p-udef_binary32`
281×	`log-pow_binary32`
200×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	52
1	380	46
2	5638	46

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs

(*.f32 (sin.f32 (*.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))

(*.f32 1/6 normAngle)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) normAngle) (*.f32 normAngle (*.f32 1/6 (sin.f32 (*.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (*.f32 1/6 (sin.f32 (*.f32 u normAngle)))) (/.f32 (sin.f32 (*.f32 u normAngle)) normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) normAngle) 1) (*.f32 (*.f32 normAngle (*.f32 1/6 (sin.f32 (*.f32 u normAngle)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 normAngle 1/6 (/.f32 1 normAngle))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) normAngle) 3) (pow.f32 (*.f32 normAngle (*.f32 1/6 (sin.f32 (*.f32 u normAngle)))) 3)) (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) normAngle) (/.f32 (sin.f32 (*.f32 u normAngle)) normAngle)) (-.f32 (*.f32 (*.f32 normAngle (*.f32 1/6 (sin.f32 (*.f32 u normAngle)))) (*.f32 normAngle (*.f32 1/6 (sin.f32 (*.f32 u normAngle))))) (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) normAngle) (*.f32 normAngle (*.f32 1/6 (sin.f32 (*.f32 u normAngle))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) normAngle) (/.f32 (sin.f32 (*.f32 u normAngle)) normAngle)) (*.f32 (*.f32 normAngle (*.f32 1/6 (sin.f32 (*.f32 u normAngle)))) (*.f32 normAngle (*.f32 1/6 (sin.f32 (*.f32 u normAngle)))))) (-.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) normAngle) (*.f32 normAngle (*.f32 1/6 (sin.f32 (*.f32 u normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (pow.f32 normAngle -3) (*.f32 (pow.f32 normAngle 3) 1/216)) (sin.f32 (*.f32 u normAngle))) (-.f32 (+.f32 (pow.f32 normAngle -2) (*.f32 (*.f32 normAngle normAngle) 1/36)) (/.f32 (*.f32 normAngle 1/6) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 normAngle -2) (*.f32 (*.f32 normAngle normAngle) 1/36)) (sin.f32 (*.f32 u normAngle))) (+.f32 (/.f32 1 normAngle) (*.f32 -1/6 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (+.f32 (pow.f32 normAngle -3) (*.f32 (pow.f32 normAngle 3) 1/216))) (-.f32 (+.f32 (pow.f32 normAngle -2) (*.f32 (*.f32 normAngle normAngle) 1/36)) (/.f32 (*.f32 normAngle 1/6) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (-.f32 (pow.f32 normAngle -2) (*.f32 (*.f32 normAngle normAngle) 1/36))) (+.f32 (/.f32 1 normAngle) (*.f32 -1/6 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 normAngle 1/6 (/.f32 1 normAngle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 normAngle 1/6 (/.f32 1 normAngle))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 normAngle 1/6 (/.f32 1 normAngle)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 normAngle 1/6 (/.f32 1 normAngle)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 normAngle 1/6 (/.f32 1 normAngle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 u normAngle))) (fma.f32 normAngle 1/6 (/.f32 1 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 normAngle 1/6 (/.f32 1 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (exp.f32 (*.f32 normAngle (*.f32 1/6 (sin.f32 (*.f32 u normAngle))))) (exp.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 normAngle 1/6 (/.f32 1 normAngle))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u normAngle)) 3) (pow.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (fma.f32 normAngle 1/6 (/.f32 1 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)) (fma.f32 normAngle 1/6 (/.f32 1 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 normAngle 1/6 (/.f32 1 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 normAngle 1/6 (/.f32 1 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (fma.f32 normAngle 1/6 (/.f32 1 normAngle)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 normAngle) (*.f32 normAngle (*.f32 1/6 (sin.f32 (*.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 1 normAngle) (sin.f32 (*.f32 u normAngle)) (*.f32 normAngle (*.f32 1/6 (sin.f32 (*.f32 u normAngle)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 normAngle 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 normAngle 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 normAngle 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 normAngle 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 normAngle 3) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 normAngle normAngle) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 normAngle) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 normAngle 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 normAngle 3) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 normAngle 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 normAngle 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 normAngle 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 normAngle 1/6)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 n0_i (-.f32 (*.f32 u n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) n1_i) (-.f32 n0_i (*.f32 u n0_i))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (-.f32 n0_i (*.f32 u n0_i)) 2) (-.f32 (-.f32 n0_i (*.f32 u n0_i)) (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) n1_i)))) (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) n1_i)) 2) (-.f32 (-.f32 n0_i (*.f32 u n0_i)) (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) n1_i)) n0_i) (*.f32 u n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) n1_i) (-.f32 n0_i (*.f32 u n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) n1_i) (-.f32 n0_i (*.f32 u n0_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) n1_i) (-.f32 n0_i (*.f32 u n0_i)))) (pow.f32 (cbrt.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) n1_i) (-.f32 n0_i (*.f32 u n0_i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) n1_i) (-.f32 n0_i (*.f32 u n0_i)))) 2) (cbrt.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) n1_i) (-.f32 n0_i (*.f32 u n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) n1_i) (-.f32 n0_i (*.f32 u n0_i)))) (sqrt.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) n1_i) (-.f32 n0_i (*.f32 u n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (-.f32 n0_i (*.f32 u n0_i)) 3) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) n1_i)) 3)) (/.f32 1 (+.f32 (pow.f32 (-.f32 n0_i (*.f32 u n0_i)) 2) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) n1_i)) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (fma.f32 normAngle 1/6 (/.f32 1 normAngle)) n1_i)) (-.f32 n0_i (*.f32 u n0_i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (pow.f32 (-.f32 n0_i (*.f32 u n0_i)) 2) (pow.f32 (*.f32 (sin.f32 (*.f32 u 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simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

804×	`times-frac_binary32`
763×	`fma-def_binary32`
417×	`*-commutative_binary32`
399×	`associate-+l+_binary32`
397×	`fma-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	1792
1	399	1684
2	1275	1608
3	4377	1563
4	7243	1563

Stop Event

1×	node limit

Counts

160 → 148

Calls

Call 1

Inputs
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (*.f32 u normAngle))
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 u normAngle)) (.f32 -1/6 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))))
(+.f32 (.f32 1/120 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))) (+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 u normAngle)) (.f32 -1/6 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))))))
(+.f32 (.f32 -1/5040 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)))) (+.f32 (.f32 1/120 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))) (+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 u normAngle)) (.f32 -1/6 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))))))
u
(+.f32 (.f32 (+.f32 (.f32 1/6 u) (*.f32 -1/6 (pow.f32 u 3))) (pow.f32 normAngle 2)) u)
(+.f32 (.f32 (+.f32 (.f32 1/120 (pow.f32 u 5)) (.f32 -1/36 (pow.f32 u 3))) (pow.f32 normAngle 4)) (+.f32 (.f32 (+.f32 (.f32 1/6 u) (.f32 -1/6 (pow.f32 u 3))) (pow.f32 normAngle 2)) u))
(+.f32 (.f32 (+.f32 (.f32 -1/5040 (pow.f32 u 7)) (.f32 1/720 (pow.f32 u 5))) (pow.f32 normAngle 6)) (+.f32 (.f32 (+.f32 (.f32 1/120 (pow.f32 u 5)) (.f32 -1/36 (pow.f32 u 3))) (pow.f32 normAngle 4)) (+.f32 (.f32 (+.f32 (.f32 1/6 u) (*.f32 -1/6 (pow.f32 u 3))) (pow.f32 normAngle 2)) u)))
(.f32 1/6 (.f32 (sin.f32 (*.f32 u normAngle)) normAngle))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(.f32 1/6 (.f32 (sin.f32 (*.f32 u normAngle)) normAngle))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
n0_i
(+.f32 (.f32 u (-.f32 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) normAngle)) n0_i)) n0_i)
(+.f32 (.f32 u (-.f32 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) normAngle)) n0_i)) (+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))))) n0_i))
(+.f32 (.f32 u (-.f32 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) normAngle)) n0_i)) (+.f32 (.f32 1/120 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))))) (+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))))) n0_i)))
(.f32 -1 (.f32 u n0_i))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) n1_i)) (+.f32 (.f32 -1 (.f32 u n0_i)) n0_i))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) n1_i)) (+.f32 (.f32 -1 (.f32 u n0_i)) n0_i))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) n1_i)) (+.f32 (.f32 -1 (.f32 u n0_i)) n0_i))
(.f32 -1 (.f32 u n0_i))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) n1_i)) (+.f32 (.f32 -1 (.f32 u n0_i)) n0_i))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) n1_i)) (+.f32 (.f32 -1 (.f32 u n0_i)) n0_i))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) n1_i)) (+.f32 (.f32 -1 (.f32 u n0_i)) n0_i))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 n0_i u))
(-.f32 (+.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 n0_i u))
(-.f32 (+.f32 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 -1/36 (.f32 n1_i (pow.f32 u 3)))) (pow.f32 normAngle 4)) (+.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 n0_i u))
(-.f32 (+.f32 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 -1/36 (.f32 n1_i (pow.f32 u 3)))) (pow.f32 normAngle 4)) (+.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) (+.f32 n0_i (.f32 (+.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (.f32 1/720 (.f32 n1_i (pow.f32 u 5)))) (pow.f32 normAngle 6)))))) (*.f32 n0_i u))
(.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle)))
(-.f32 (+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) n0_i) (*.f32 n0_i u))
(-.f32 (+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) normAngle))) (*.f32 n0_i u))
(-.f32 (+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) normAngle))) (*.f32 n0_i u))
(.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle)))
(-.f32 (+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) n0_i) (*.f32 n0_i u))
(-.f32 (+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) normAngle))) (*.f32 n0_i u))
(-.f32 (+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) normAngle))) (*.f32 n0_i u))
(-.f32 n0_i (*.f32 n0_i u))
(-.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))) (*.f32 n0_i u))
(-.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))) (*.f32 n0_i u))
(-.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))) (*.f32 n0_i u))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(-.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))) (*.f32 n0_i u))
(-.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))) (*.f32 n0_i u))
(-.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))) (*.f32 n0_i u))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(-.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))) (*.f32 n0_i u))
(-.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))) (*.f32 n0_i u))
(-.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))) (*.f32 n0_i u))

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

localize44.0ms (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 n1_i (*.f32 u normAngle)))
✓	0.1b	(.f32 n1_i (.f32 u normAngle))
✓	7.0b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 n1_i (*.f32 u normAngle))) (sin.f32 normAngle))

Compiler

Compiled 58 to 11 computations (81% saved)

series15.0ms (0.1%)

Counts

3 → 96

Calls

33 calls:

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

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`log-prod_binary32`
376×	`pow2_binary32`
332×	`fma-def_binary32`
262×	`pow1/3_binary32`
256×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	264	50
2	3730	50

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs

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

(*.f32 n1_i (*.f32 u normAngle))

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

Outputs

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

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

766×	`fma-def_binary32`
461×	`distribute-rgt-neg-out_binary32`
390×	`distribute-lft-neg-out_binary32`
364×	`*-commutative_binary32`
355×	`cancel-sign-sub-inv_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	2585
1	424	2557
2	1514	2463
3	5066	2463

Stop Event

1×	node limit

Counts

186 → 134

Calls

Call 1

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

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

eval352.0ms (2.5%)

Compiler: Compiled 28881 to 9957 computations (65.5% saved)

prune247.0ms (1.7%)

Pruning

38 alts after pruning (31 fresh and 7 done)

	Pruned	Kept	Total
New	1119	17	1136
Fresh	7	14	21
Picked	0	1	1
Done	4	6	10
Total	1130	38	1168

Error

Counts

1168 → 38

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.1b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 n1_i (*.f32 u normAngle))) (sin.f32 normAngle))
	1.0b	(+.f32 (.f32 (-.f32 (+.f32 1 (.f32 -2 u)) (.f32 -1 u)) n0_i) (.f32 n1_i u))
✓	0.9b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	0.7b	(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
	0.9b	(+.f32 (.f32 u (-.f32 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) normAngle)) n0_i)) n0_i)
✓	6.3b	(fma.f32 n1_i u n0_i)
	10.3b	(/.f32 (-.f32 (.f32 u (.f32 u (.f32 n1_i n1_i))) (.f32 n0_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))
✓	13.3b	(*.f32 (-.f32 1 u) n0_i)
	19.7b	(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
	0.9b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	18.4b	(/.f32 (.f32 n0_i (neg.f32 n0_i)) (-.f32 (.f32 u (-.f32 n1_i n0_i)) n0_i))
	1.0b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	7.1b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
✓	0.4b	(fma.f32 u (-.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) n0_i) n0_i)
✓	16.3b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
	4.0b	(-.f32 (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))) (*.f32 n0_i u))
	13.0b	(/.f32 (-.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (fabs.f32 (.f32 u (-.f32 n1_i n0_i)))) (.f32 n0_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))
	13.3b	(/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (+.f32 1 u))
	17.4b	n0_i
	13.1b	(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
	23.7b	(exp.f32 (log.f32 (*.f32 (-.f32 1 u) n0_i)))
	2.7b	(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
	14.1b	(-.f32 n0_i (.f32 (.f32 u (*.f32 n0_i normAngle)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
	7.0b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	6.3b	(+.f32 (*.f32 n1_i u) n0_i)
	13.2b	(-.f32 n0_i (*.f32 u n0_i))
✓	19.4b	(*.f32 u n1_i)
	19.8b	(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
	3.3b	(+.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))))))
	19.6b	(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
	0.9b	(-.f32 (+.f32 (.f32 u n1_i) n0_i) (.f32 n0_i u))
	1.0b	(-.f32 (+.f32 (.f32 -2 (.f32 u n0_i)) (+.f32 (.f32 n1_i u) n0_i)) (.f32 -1 (*.f32 u n0_i)))
	1.0b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
	1.3b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (*.f32 u normAngle)) n1_i))
	7.2b	(.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 u (.f32 n1_i normAngle))) (/.f32 1 (sin.f32 normAngle)))
	10.1b	(/.f32 (-.f32 (.f32 (.f32 n1_i (.f32 u u)) (+.f32 (.f32 n0_i -2) n1_i)) (.f32 n0_i n0_i)) (-.f32 (.f32 u (-.f32 n1_i n0_i)) n0_i))
	7.4b	(/.f32 (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i (pow.f32 normAngle 3))))) (sin.f32 normAngle))
	16.8b	(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))

Compiler

Compiled 643 to 414 computations (35.6% saved)

regimes250.0ms (1.8%)

Counts

71 → 1

Calls

Call 1

Inputs
n0_i
n0_i
n0_i
(*.f32 u n1_i)
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(-.f32 n0_i (*.f32 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 (-.f32 n1_i n0_i) u) n0_i)
(-.f32 (+.f32 (.f32 u n1_i) n0_i) (.f32 n0_i u))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (+.f32 1 u))
(/.f32 (.f32 n0_i (neg.f32 n0_i)) (-.f32 (.f32 u (-.f32 n1_i n0_i)) n0_i))
(+.f32 (.f32 (-.f32 (+.f32 1 (.f32 -2 u)) (.f32 -1 u)) n0_i) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
(+.f32 (.f32 u (-.f32 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) normAngle)) n0_i)) n0_i)
(-.f32 (+.f32 (.f32 -2 (.f32 u n0_i)) (+.f32 (.f32 n1_i u) n0_i)) (.f32 -1 (*.f32 u n0_i)))
(/.f32 (-.f32 (.f32 u (.f32 u (.f32 n1_i n1_i))) (.f32 n0_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))
(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (*.f32 u normAngle)) n1_i))
(/.f32 (-.f32 (.f32 (.f32 n1_i (.f32 u u)) (+.f32 (.f32 n0_i -2) n1_i)) (.f32 n0_i n0_i)) (-.f32 (.f32 u (-.f32 n1_i n0_i)) n0_i))
(/.f32 (-.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (.f32 n0_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))
(fma.f32 n1_i u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
(-.f32 (+.f32 1 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) 1)
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(-.f32 (+.f32 1 (fma.f32 n1_i u (-.f32 n0_i (*.f32 n0_i u)))) 1)
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle) (/.f32 1 (sin.f32 normAngle)))
(+.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 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle))) n1_i))
(fma.f32 n1_i u (/.f32 (-.f32 (.f32 n0_i n0_i) (.f32 (.f32 n0_i (neg.f32 u)) (.f32 n0_i (neg.f32 u)))) (-.f32 n0_i (*.f32 n0_i (neg.f32 u)))))
(/.f32 (-.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (fabs.f32 (.f32 u (-.f32 n1_i n0_i)))) (.f32 n0_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))
(exp.f32 (log.f32 (*.f32 (-.f32 1 u) n0_i)))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(fma.f32 u (-.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) n0_i) n0_i)
(+.f32 (.f32 n1_i u) (exp.f32 (log.f32 (.f32 (-.f32 1 u) n0_i))))
(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
(+.f32 (.f32 n1_i u) (pow.f32 (sqrt.f32 (.f32 (-.f32 1 u) n0_i)) 2))
(-.f32 n0_i (.f32 (.f32 u (*.f32 n0_i normAngle)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(+.f32 (.f32 n1_i u) (log.f32 (+.f32 1 (expm1.f32 (.f32 (-.f32 1 u) n0_i)))))
(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(-.f32 (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))) (*.f32 n0_i u))
(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 n1_i (*.f32 u normAngle))) (sin.f32 normAngle))
(.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 u (.f32 n1_i normAngle))) (/.f32 1 (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 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 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i (pow.f32 normAngle 3))))) (sin.f32 normAngle))
(exp.f32 (log.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))))
(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(.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)))
(+.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 (-.f32 1 (.f32 u u)) normAngle) (+.f32 u 1))) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(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))))
(+.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sqrt.f32 (sin.f32 normAngle))) (sqrt.f32 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))

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

Calls

5 calls:

62.0ms	n1_i
43.0ms	n0_i
42.0ms	(+.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))
41.0ms	u
37.0ms	normAngle

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 1008 to 384 computations (61.9% saved)

regimes101.0ms (0.7%)

Counts

45 → 1

Calls

Call 1

Inputs
n0_i
n0_i
n0_i
(*.f32 u n1_i)
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(-.f32 n0_i (*.f32 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 (-.f32 n1_i n0_i) u) n0_i)
(-.f32 (+.f32 (.f32 u n1_i) n0_i) (.f32 n0_i u))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (+.f32 1 u))
(/.f32 (.f32 n0_i (neg.f32 n0_i)) (-.f32 (.f32 u (-.f32 n1_i n0_i)) n0_i))
(+.f32 (.f32 (-.f32 (+.f32 1 (.f32 -2 u)) (.f32 -1 u)) n0_i) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
(+.f32 (.f32 u (-.f32 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) normAngle)) n0_i)) n0_i)
(-.f32 (+.f32 (.f32 -2 (.f32 u n0_i)) (+.f32 (.f32 n1_i u) n0_i)) (.f32 -1 (*.f32 u n0_i)))
(/.f32 (-.f32 (.f32 u (.f32 u (.f32 n1_i n1_i))) (.f32 n0_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))
(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (*.f32 u normAngle)) n1_i))
(/.f32 (-.f32 (.f32 (.f32 n1_i (.f32 u u)) (+.f32 (.f32 n0_i -2) n1_i)) (.f32 n0_i n0_i)) (-.f32 (.f32 u (-.f32 n1_i n0_i)) n0_i))
(/.f32 (-.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (.f32 n0_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))
(fma.f32 n1_i u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
(-.f32 (+.f32 1 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) 1)
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(-.f32 (+.f32 1 (fma.f32 n1_i u (-.f32 n0_i (*.f32 n0_i u)))) 1)
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle) (/.f32 1 (sin.f32 normAngle)))
(+.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 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle))) n1_i))
(fma.f32 n1_i u (/.f32 (-.f32 (.f32 n0_i n0_i) (.f32 (.f32 n0_i (neg.f32 u)) (.f32 n0_i (neg.f32 u)))) (-.f32 n0_i (*.f32 n0_i (neg.f32 u)))))
(/.f32 (-.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (fabs.f32 (.f32 u (-.f32 n1_i n0_i)))) (.f32 n0_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))
(exp.f32 (log.f32 (*.f32 (-.f32 1 u) n0_i)))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))

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

Calls

4 calls:

23.0ms	n1_i
23.0ms	n0_i
22.0ms	normAngle
21.0ms	u

Results

Error	Segments	Branch
0.7b	1	`normAngle`
0.7b	1	`u`
0.7b	1	`n0_i`
0.7b	1	`n1_i`

Compiler

Compiled 531 to 195 computations (63.3% saved)

regimes82.0ms (0.6%)

Counts

35 → 1

Calls

Call 1

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

Outputs
(fma.f32 u (-.f32 n1_i n0_i) n0_i)

Calls

4 calls:

20.0ms	n0_i
19.0ms	u
18.0ms	normAngle
17.0ms	n1_i

Results

Error	Segments	Branch
0.8b	1	`normAngle`
0.8b	1	`u`
0.8b	1	`n0_i`
0.8b	1	`n1_i`

Compiler

Compiled 395 to 158 computations (60% saved)

regimes55.0ms (0.4%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	n1_i
13.0ms	normAngle
12.0ms	u
12.0ms	n0_i

Results

Error	Segments	Branch
0.9b	1	`normAngle`
0.9b	1	`u`
0.9b	1	`n0_i`
0.9b	1	`n1_i`

Compiler

Compiled 259 to 108 computations (58.3% saved)

regimes42.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

Inputs
n0_i
n0_i
n0_i
(*.f32 u n1_i)
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(-.f32 n0_i (*.f32 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 (-.f32 n1_i n0_i) u) n0_i)
(-.f32 (+.f32 (.f32 u n1_i) n0_i) (.f32 n0_i u))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (+.f32 1 u))
(/.f32 (.f32 n0_i (neg.f32 n0_i)) (-.f32 (.f32 u (-.f32 n1_i n0_i)) n0_i))
(+.f32 (.f32 (-.f32 (+.f32 1 (.f32 -2 u)) (.f32 -1 u)) n0_i) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))

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

Calls

4 calls:

12.0ms	normAngle
9.0ms	n0_i
9.0ms	u
9.0ms	n1_i

Results

Error	Segments	Branch
0.9b	1	`normAngle`
0.9b	1	`u`
0.9b	1	`n0_i`
0.9b	1	`n1_i`

Compiler

Compiled 137 to 66 computations (51.8% saved)

regimes45.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	n0_i
15.0ms	n1_i
6.0ms	u
5.0ms	normAngle

Results

Error	Segments	Branch
6.3b	1	`normAngle`
6.3b	1	`u`
3.3b	3	`n0_i`
4.5b	3	`n1_i`

Compiler

Compiled 45 to 28 computations (37.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	3.1698408933159887e-18	9.284178415163514e-18
0.0ms	-4.326050281888705e-11	-1.5746515419703955e-12

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes44.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	n1_i
15.0ms	n0_i
6.0ms	u
6.0ms	normAngle

Results

Error	Segments	Branch
6.3b	1	`normAngle`
6.3b	1	`u`
3.4b	3	`n0_i`
4.6b	3	`n1_i`

Compiler

Compiled 40 to 26 computations (35% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	3.1698408933159887e-18	9.284178415163514e-18
0.0ms	-4.326050281888705e-11	-1.5746515419703955e-12

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes43.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	n0_i
15.0ms	n1_i
6.0ms	normAngle
5.0ms	u

Results

Error	Segments	Branch
13.3b	1	`normAngle`
13.3b	1	`u`
8.3b	3	`n0_i`
8.9b	3	`n1_i`

Compiler

Compiled 35 to 24 computations (31.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	6.599625984079344e-22	1.9740295753021128e-21
0.0ms	-1.1823333217050793e-16	-6.019722204559933e-17

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes46.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

Inputs
n0_i
n0_i
n0_i
(*.f32 u n1_i)

Outputs
n0_i
(*.f32 u n1_i)
n0_i

Calls

4 calls:

13.0ms	n1_i
12.0ms	n0_i
10.0ms	u
9.0ms	normAngle

Results

Error	Segments	Branch
17.4b	1	`normAngle`
14.3b	2	`u`
11.8b	3	`n0_i`
12.8b	3	`n1_i`

Compiler

Compiled 30 to 21 computations (30% saved)

bsearch1.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	6.599625984079344e-22	1.9740295753021128e-21
0.0ms	-1.1823333217050793e-16	-6.019722204559933e-17

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes31.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
n0_i
n0_i
n0_i

Outputs
n0_i

Calls

4 calls:

9.0ms	n1_i
9.0ms	u
8.0ms	n0_i
4.0ms	normAngle

Results

Error	Segments	Branch
17.4b	1	`normAngle`
17.4b	1	`u`
17.4b	1	`n0_i`
17.4b	1	`n1_i`

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary32`
14×	`+-commutative_binary32`
8×	`sub-neg_binary32`
3×	`neg-sub0_binary32`
3×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	199
1	85	199
2	101	199
3	107	199
4	110	199

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f32 u (-.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) n0_i) 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))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 u (-.f32 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) normAngle)) n0_i)) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(if (<=.f32 n0_i -11529215/1152921504606846976) (-.f32 n0_i (.f32 u n0_i)) (if (<=.f32 n0_i 6044629/1208925819614629174706176) (+.f32 (.f32 n1_i u) n0_i) (-.f32 n0_i (*.f32 u n0_i))))
(if (<=.f32 n0_i -11529215/1152921504606846976) (.f32 (-.f32 1 u) n0_i) (if (<=.f32 n0_i 6044629/1208925819614629174706176) (+.f32 (.f32 n1_i u) n0_i) (*.f32 (-.f32 1 u) n0_i)))
(if (<=.f32 n0_i -15111573/151115727451828646838272) (.f32 (-.f32 1 u) n0_i) (if (<=.f32 n0_i 309485/309485009821345068724781056) (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)))
(if (<=.f32 n0_i -15111573/151115727451828646838272) n0_i (if (<=.f32 n0_i 309485/309485009821345068724781056) (*.f32 u n1_i) n0_i))
n0_i

Outputs
(fma.f32 u (-.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) n0_i) 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 u (-.f32 n1_i n0_i)) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (.f32 u (-.f32 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) normAngle)) n0_i)) n0_i)
(+.f32 n0_i (.f32 u (-.f32 (.f32 n1_i (.f32 normAngle (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)))) n0_i)))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n0_i -11529215/1152921504606846976) (-.f32 n0_i (.f32 u n0_i)) (if (<=.f32 n0_i 6044629/1208925819614629174706176) (+.f32 (.f32 n1_i u) n0_i) (-.f32 n0_i (*.f32 u n0_i))))
(if (<=.f32 n0_i -11529215/1152921504606846976) (-.f32 n0_i (.f32 u n0_i)) (if (<=.f32 n0_i 6044629/1208925819614629174706176) (+.f32 n0_i (.f32 u n1_i)) (-.f32 n0_i (*.f32 u n0_i))))
(if (<=.f32 n0_i -11529215/1152921504606846976) (.f32 (-.f32 1 u) n0_i) (if (<=.f32 n0_i 6044629/1208925819614629174706176) (+.f32 (.f32 n1_i u) n0_i) (*.f32 (-.f32 1 u) n0_i)))
(if (<=.f32 n0_i -11529215/1152921504606846976) (.f32 n0_i (-.f32 1 u)) (if (<=.f32 n0_i 6044629/1208925819614629174706176) (+.f32 n0_i (.f32 u n1_i)) (*.f32 n0_i (-.f32 1 u))))
(if (<=.f32 n0_i -15111573/151115727451828646838272) (.f32 (-.f32 1 u) n0_i) (if (<=.f32 n0_i 309485/309485009821345068724781056) (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)))
(if (<=.f32 n0_i -15111573/151115727451828646838272) (.f32 n0_i (-.f32 1 u)) (if (<=.f32 n0_i 309485/309485009821345068724781056) (.f32 u n1_i) (*.f32 n0_i (-.f32 1 u))))
(if (<=.f32 n0_i -15111573/151115727451828646838272) n0_i (if (<=.f32 n0_i 309485/309485009821345068724781056) (*.f32 u n1_i) n0_i))
n0_i

Compiler

Compiled 179 to 114 computations (36.3% saved)

soundness158.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

729×	`fma-def_binary32`
729×	`fma-neg_binary32`
481×	`fma-neg_binary32`
441×	`fma-def_binary32`
422×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	2110
1	514	2027
2	1745	1993
3	6586	1979
0	104	1197
1	310	1158
2	933	1138
3	4338	1127

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 163 to 109 computations (33.1% saved)

end62.0ms (0.4%)

Compiler: Compiled 143 to 71 computations (50.3% saved)