Details

analyze708.0ms (4.8%)

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)

sample5.5s (37.1%)

Results

4.3s	8256×	body	256	valid
1.2s	2021×	body	256	invalid

preprocess113.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

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

0.8b

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))
▶	1.0b	(+.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))

▶

1.0b

(+.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)

localize122.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f32 (-.f32 1 u) normAngle)
✓	0.2b	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
✓	0.4b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
✓	1.3b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))

Compiler

Compiled 105 to 54 computations (48.6% saved)

series36.0ms (0.2%)

Counts

4 → 96

Calls

27 calls:

Time	Variable		Point	Expression
14.0ms	u	@	-inf	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))
2.0ms	u	@	-inf	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
2.0ms	n0_i	@	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
1.0ms	u	@	0	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
1.0ms	u	@	0	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))

rewrite89.0ms (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 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
(*.f32 (-.f32 1 u) normAngle)

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 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))))))
((#(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)))))))

simplify115.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-def_binary32`
729×	`fma-neg_binary32`
366×	`*-commutative_binary32`
342×	`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	6605	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))
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))
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 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 (/.f32 u (sin.f32 normAngle)) normAngle (fma.f32 -1/6 (.f32 (pow.f32 normAngle 3) (/.f32 (pow.f32 u 3) (sin.f32 normAngle))) (.f32 (/.f32 1/120 (sin.f32 normAngle)) (*.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))))
(+.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 (pow.f32 u 7) (/.f32 (sin.f32 normAngle) (pow.f32 normAngle 7))) (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 (.f32 -1/6 (.f32 normAngle normAngle)) (-.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 -1/6 (.f32 (.f32 normAngle normAngle) (-.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 (fma.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 (.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 (.f32 -1/6 (.f32 normAngle normAngle)) (-.f32 (pow.f32 u 3) u) 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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(-.f32 1 u)
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n0_i
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(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 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))))) (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 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))))) (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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.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 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)))
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
normAngle
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(fma.f32 -1 (*.f32 u normAngle) normAngle)
(fma.f32 (neg.f32 u) normAngle normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(fma.f32 -1 (*.f32 u normAngle) normAngle)
(fma.f32 (neg.f32 u) normAngle normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(fma.f32 -1 (*.f32 u normAngle) normAngle)
(fma.f32 (neg.f32 u) normAngle normAngle)
(-.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)
(fma.f32 -1 (*.f32 u normAngle) normAngle)
(fma.f32 (neg.f32 u) normAngle normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(fma.f32 -1 (*.f32 u normAngle) normAngle)
(fma.f32 (neg.f32 u) normAngle normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(fma.f32 -1 (*.f32 u normAngle) normAngle)
(fma.f32 (neg.f32 u) normAngle normAngle)
(-.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)
(fma.f32 -1 (*.f32 u normAngle) normAngle)
(fma.f32 (neg.f32 u) normAngle normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(fma.f32 -1 (*.f32 u normAngle) normAngle)
(fma.f32 (neg.f32 u) normAngle normAngle)
(-.f32 normAngle (*.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(fma.f32 -1 (*.f32 u normAngle) normAngle)
(fma.f32 (neg.f32 u) normAngle normAngle)
(-.f32 normAngle (*.f32 u normAngle))

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f32 (-.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)

series43.0ms (0.3%)

Counts

4 → 116

Calls

39 calls:

Time	Variable		Expression
19.0ms	u	@	(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
4.0ms	u	@	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
2.0ms	normAngle	@	(/.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	@	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
1.0ms	n1_i	@	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

rewrite89.0ms (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	65
1	280	65
2	3879	65

Stop Event

1×	node limit

Counts

4 → 143

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))
(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)) (.f32 (cbrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) 2) (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (.f32 (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) (sqrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (/.f32 1 (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sin.f32 normAngle)) (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)) 1) (/.f32 (cbrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 1) (/.f32 (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sqrt.f32 (sin.f32 normAngle))) (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 3) (pow.f32 (sin.f32 normAngle) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 3) (pow.f32 (sin.f32 normAngle) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 normAngle u))) n1_i)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 normAngle u))) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 normAngle u))) n1_i))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 normAngle u))) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 normAngle u)) 3) (pow.f32 n1_i 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 n1_i 3) (pow.f32 (sin.f32 (.f32 normAngle u)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 normAngle u))) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 normAngle u)) 3) (pow.f32 n1_i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 n1_i 3) (pow.f32 (sin.f32 (.f32 normAngle u)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) 1) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))) (log.f32 (sqrt.f32 (exp.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 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(#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cos.f32 (.f32 normAngle u)) (sin.f32 normAngle) (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) (cos.f32 normAngle))))))) (#(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 (pow.f32 (cbrt.f32 (.f32 (sin.f32 normAngle) (cos.f32 (.f32 normAngle u)))) 2) (cbrt.f32 (.f32 (sin.f32 normAngle) (cos.f32 (.f32 normAngle u)))) (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) (cos.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (.f32 (sin.f32 normAngle) (cos.f32 (.f32 normAngle u)))) 2) (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 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simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

849×	`fma-neg_binary32`
570×	`associate-+l+_binary32`
522×	`*-commutative_binary32`
515×	`associate-+r+_binary32`
235×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	3466
1	574	3380
2	2135	3344
3	6919	3344

Stop Event

1×	node limit

Counts

259 → 214

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

eval196.0ms (1.3%)

Compiler: Compiled 12033 to 5099 computations (57.6% saved)

prune100.0ms (0.7%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	365	16	381
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	367	16	383

Error

0.0b

Counts

383 → 16

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 u (*.f32 n1_i normAngle))) (sin.f32 normAngle))
	7.0b	(/.f32 (fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))) (sin.f32 normAngle))
	0.9b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	17.5b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
	0.8b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
▶	20.9b	(/.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 (pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) 2) n1_i))
	0.8b	(fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))
	7.7b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
▶	0.8b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
▶	6.0b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	14.8b	(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
	7.1b	(/.f32 (fma.f32 (-.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle (cos.f32 normAngle)))) n0_i (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
▶	0.2b	(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) (.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) normAngle)) n0_i)
	3.8b	(+.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))))))
	18.4b	n0_i

Compiler

Compiled 583 to 378 computations (35.2% saved)

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 77 to 13 computations (83.1% saved)

series29.0ms (0.2%)

Counts

4 → 100

Calls

27 calls:

Time	Variable		Point	Expression
8.0ms	normAngle	@	-inf	(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) (.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) normAngle)) n0_i)
2.0ms	normAngle	@	0	(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) (.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) normAngle)) n0_i)
2.0ms	normAngle	@	0	(/.f32 (sin.f32 normAngle) normAngle)
2.0ms	n0_i	@	0	(.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) normAngle)
1.0ms	u	@	0	(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) (.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) normAngle)) n0_i)

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

959×	`log-prod_binary32`
386×	`fma-def_binary32`
298×	`expm1-udef_binary32`
298×	`log1p-udef_binary32`
260×	`log-div_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	313	42
2	4807	42

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

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

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

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

637×	`fma-def_binary32`
629×	`fma-neg_binary32`
393×	`sub-neg_binary32`
389×	`associate-r_binary32`
379×	`associate-l_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	2190
1	418	2094
2	1358	1906
3	6272	1898

Stop Event

1×	node limit

Counts

239 → 190

Calls

Call 1

Inputs
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
n0_i
(+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) (pow.f32 normAngle 2)) n0_i)
(+.f32 (.f32 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) (pow.f32 normAngle 2)) n0_i))
(+.f32 (.f32 (-.f32 (.f32 -1/720 n0_i) (+.f32 (.f32 -1/5040 n0_i) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))))))) (pow.f32 normAngle 6)) (+.f32 (.f32 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) (pow.f32 normAngle 2)) n0_i)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 n0_i normAngle)
(+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) normAngle) (/.f32 n0_i normAngle))
(+.f32 (.f32 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))) (pow.f32 normAngle 3)) (+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) normAngle) (/.f32 n0_i normAngle)))
(+.f32 (.f32 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))) (pow.f32 normAngle 3)) (+.f32 (.f32 (-.f32 (.f32 -1/720 n0_i) (+.f32 (.f32 -1/5040 n0_i) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))))))) (pow.f32 normAngle 5)) (+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) normAngle) (/.f32 n0_i normAngle))))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
1
(+.f32 (*.f32 -1/6 (pow.f32 normAngle 2)) 1)
(+.f32 (.f32 -1/6 (pow.f32 normAngle 2)) (+.f32 1 (.f32 1/120 (pow.f32 normAngle 4))))
(+.f32 (.f32 -1/6 (pow.f32 normAngle 2)) (+.f32 1 (+.f32 (.f32 -1/5040 (pow.f32 normAngle 6)) (*.f32 1/120 (pow.f32 normAngle 4)))))
n0_i
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))) u) n0_i)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))) u) n0_i)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))) u) n0_i)
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))) u)
(+.f32 n0_i (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))) u))
(+.f32 n0_i (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))) u))
(+.f32 n0_i (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))) u))
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))) u)
(+.f32 n0_i (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))) u))
(+.f32 n0_i (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))) u))
(+.f32 n0_i (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))) u))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 (-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n1_i))) (pow.f32 normAngle 2))) n0_i))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 (-.f32 (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i)))) (+.f32 (.f32 1/120 n1_i) (+.f32 (.f32 -1/36 n1_i) (.f32 1/24 n0_i)))) (.f32 u (pow.f32 normAngle 4))) (+.f32 (.f32 u (.f32 (-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n1_i))) (pow.f32 normAngle 2))) n0_i)))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/5040 n0_i) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i)))))))) (+.f32 (.f32 -1/720 n0_i) (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (+.f32 (.f32 -1/5040 n1_i) (.f32 1/720 n1_i))))) (.f32 u (pow.f32 normAngle 6))) (+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 (-.f32 (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i)))) (+.f32 (.f32 1/120 n1_i) (+.f32 (.f32 -1/36 n1_i) (.f32 1/24 n0_i)))) (.f32 u (pow.f32 normAngle 4))) (+.f32 (.f32 u (.f32 (-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n1_i))) (pow.f32 normAngle 2))) n0_i))))
(.f32 u (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle))
(+.f32 (.f32 u (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)) n0_i)
(+.f32 (.f32 u (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)) n0_i)
(+.f32 (.f32 u (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)) n0_i)
(.f32 -1 (.f32 (-.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))) (.f32 u normAngle)))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))) (.f32 u normAngle))) n0_i)
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))) (.f32 u normAngle))) n0_i)
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))) (.f32 u normAngle))) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1))))

Outputs
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
n0_i
(+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) (pow.f32 normAngle 2)) n0_i)
(fma.f32 (.f32 n0_i -1/3) (.f32 normAngle normAngle) n0_i)
(fma.f32 normAngle (.f32 n0_i (.f32 normAngle -1/3)) n0_i)
(+.f32 (.f32 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) (pow.f32 normAngle 2)) n0_i))
(fma.f32 (-.f32 (.f32 n0_i 1/24) (fma.f32 1/120 n0_i (.f32 -1/6 (.f32 n0_i -1/3)))) (pow.f32 normAngle 4) (fma.f32 (.f32 n0_i -1/3) (*.f32 normAngle normAngle) n0_i))
(fma.f32 (-.f32 (.f32 n0_i 1/30) (.f32 n0_i 1/18)) (pow.f32 normAngle 4) (fma.f32 (.f32 n0_i -1/3) (.f32 normAngle normAngle) n0_i))
(fma.f32 (.f32 n0_i -1/45) (pow.f32 normAngle 4) (fma.f32 normAngle (.f32 n0_i (*.f32 normAngle -1/3)) n0_i))
(+.f32 (.f32 (-.f32 (.f32 -1/720 n0_i) (+.f32 (.f32 -1/5040 n0_i) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))))))) (pow.f32 normAngle 6)) (+.f32 (.f32 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) (pow.f32 normAngle 2)) n0_i)))
(fma.f32 (-.f32 (.f32 n0_i -1/720) (fma.f32 -1/5040 n0_i (fma.f32 1/120 (.f32 n0_i -1/3) (.f32 -1/6 (-.f32 (.f32 n0_i 1/24) (fma.f32 1/120 n0_i (.f32 -1/6 (.f32 n0_i -1/3)))))))) (pow.f32 normAngle 6) (fma.f32 (-.f32 (.f32 n0_i 1/24) (fma.f32 1/120 n0_i (.f32 -1/6 (.f32 n0_i -1/3)))) (pow.f32 normAngle 4) (fma.f32 (.f32 n0_i -1/3) (*.f32 normAngle normAngle) n0_i)))
(fma.f32 (-.f32 (.f32 n0_i -1/840) (fma.f32 -1/6 (-.f32 (.f32 n0_i 1/30) (.f32 n0_i 1/18)) (.f32 n0_i -1/360))) (pow.f32 normAngle 6) (fma.f32 (-.f32 (.f32 n0_i 1/30) (.f32 n0_i 1/18)) (pow.f32 normAngle 4) (fma.f32 (.f32 n0_i -1/3) (.f32 normAngle normAngle) n0_i)))
(fma.f32 (.f32 n0_i -1/45) (pow.f32 normAngle 4) (fma.f32 (+.f32 (.f32 n0_i 1/630) (.f32 (.f32 n0_i -1/45) 1/6)) (pow.f32 normAngle 6) (fma.f32 normAngle (.f32 n0_i (.f32 normAngle -1/3)) n0_i)))
(fma.f32 (.f32 n0_i -1/45) (pow.f32 normAngle 4) (fma.f32 (fma.f32 n0_i 1/630 (.f32 (.f32 n0_i -1/45) 1/6)) (pow.f32 normAngle 6) (fma.f32 normAngle (.f32 n0_i (*.f32 normAngle -1/3)) n0_i)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))
(/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))
(/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (cos.f32 normAngle)))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)
(/.f32 n0_i normAngle)
(+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) normAngle) (/.f32 n0_i normAngle))
(fma.f32 (*.f32 n0_i -1/3) normAngle (/.f32 n0_i normAngle))
(fma.f32 normAngle (*.f32 n0_i -1/3) (/.f32 n0_i normAngle))
(fma.f32 n0_i (*.f32 normAngle -1/3) (/.f32 n0_i normAngle))
(+.f32 (.f32 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))) (pow.f32 normAngle 3)) (+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) normAngle) (/.f32 n0_i normAngle)))
(fma.f32 (-.f32 (.f32 n0_i 1/24) (fma.f32 1/120 n0_i (.f32 -1/6 (.f32 n0_i -1/3)))) (pow.f32 normAngle 3) (fma.f32 (.f32 n0_i -1/3) normAngle (/.f32 n0_i normAngle)))
(fma.f32 (-.f32 (.f32 n0_i 1/30) (.f32 n0_i 1/18)) (pow.f32 normAngle 3) (fma.f32 normAngle (*.f32 n0_i -1/3) (/.f32 n0_i normAngle)))
(fma.f32 normAngle (.f32 n0_i -1/3) (fma.f32 (.f32 n0_i -1/45) (pow.f32 normAngle 3) (/.f32 n0_i normAngle)))
(+.f32 (.f32 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))) (pow.f32 normAngle 3)) (+.f32 (.f32 (-.f32 (.f32 -1/720 n0_i) (+.f32 (.f32 -1/5040 n0_i) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))))))))) (pow.f32 normAngle 5)) (+.f32 (.f32 (-.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n0_i)) normAngle) (/.f32 n0_i normAngle))))
(fma.f32 (-.f32 (.f32 n0_i 1/24) (fma.f32 1/120 n0_i (.f32 -1/6 (.f32 n0_i -1/3)))) (pow.f32 normAngle 3) (fma.f32 (-.f32 (.f32 n0_i -1/720) (fma.f32 -1/5040 n0_i (fma.f32 1/120 (.f32 n0_i -1/3) (.f32 -1/6 (-.f32 (.f32 n0_i 1/24) (fma.f32 1/120 n0_i (.f32 -1/6 (.f32 n0_i -1/3)))))))) (pow.f32 normAngle 5) (fma.f32 (.f32 n0_i -1/3) normAngle (/.f32 n0_i normAngle))))
(fma.f32 (-.f32 (.f32 n0_i 1/30) (.f32 n0_i 1/18)) (pow.f32 normAngle 3) (fma.f32 (-.f32 (.f32 n0_i -1/840) (fma.f32 -1/6 (-.f32 (.f32 n0_i 1/30) (.f32 n0_i 1/18)) (.f32 n0_i -1/360))) (pow.f32 normAngle 5) (fma.f32 normAngle (*.f32 n0_i -1/3) (/.f32 n0_i normAngle))))
(fma.f32 (.f32 n0_i -1/45) (pow.f32 normAngle 3) (fma.f32 normAngle (.f32 n0_i -1/3) (fma.f32 (+.f32 (.f32 n0_i 1/630) (.f32 (*.f32 n0_i -1/45) 1/6)) (pow.f32 normAngle 5) (/.f32 n0_i normAngle))))
(fma.f32 (.f32 n0_i -1/45) (pow.f32 normAngle 3) (fma.f32 normAngle (.f32 n0_i -1/3) (fma.f32 (fma.f32 n0_i 1/630 (.f32 (.f32 n0_i -1/45) 1/6)) (pow.f32 normAngle 5) (/.f32 n0_i normAngle))))
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))
(*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)
(/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))
(/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))
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(*.f32 (/.f32 (cos.f32 normAngle) (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 normAngle -1/6) 1)
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n0_i
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(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
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(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 (-.f32 (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i)))) (+.f32 (.f32 1/120 n1_i) (+.f32 (.f32 -1/36 n1_i) (.f32 1/24 n0_i)))) (.f32 u (pow.f32 normAngle 4))) (+.f32 (.f32 u (.f32 (-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n1_i))) (pow.f32 normAngle 2))) n0_i)))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (-.f32 (fma.f32 1/120 n0_i (.f32 -1/6 (.f32 n0_i -1/3))) (+.f32 (.f32 n1_i -7/360) (.f32 n0_i 1/24))) (.f32 (pow.f32 normAngle 4) u) (fma.f32 u (.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i -1/6) (fma.f32 -1/2 n0_i (*.f32 -1/6 n1_i)))) n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (-.f32 (fma.f32 n0_i 1/120 (.f32 n0_i 1/18)) (fma.f32 n1_i -7/360 (.f32 n0_i 1/24))) (.f32 (pow.f32 normAngle 4) u) (fma.f32 u (.f32 normAngle (.f32 normAngle (+.f32 (.f32 n0_i 1/3) (*.f32 1/6 n1_i)))) n0_i)))
(fma.f32 (pow.f32 normAngle 4) (.f32 u (-.f32 (fma.f32 n0_i 1/18 (.f32 n1_i 7/360)) (.f32 n0_i 1/30))) (fma.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 normAngle (.f32 normAngle (fma.f32 n0_i 1/3 (.f32 n1_i 1/6))))) n0_i))
(fma.f32 (pow.f32 normAngle 4) (.f32 u (fma.f32 n0_i 23/360 (fma.f32 n0_i -1/24 (.f32 n1_i 7/360)))) (fma.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 normAngle (.f32 normAngle (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))) n0_i))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/5040 n0_i) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i))) (.f32 -1/6 (-.f32 (.f32 1/24 n0_i) (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i)))))))) (+.f32 (.f32 -1/720 n0_i) (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (+.f32 (.f32 -1/5040 n1_i) (.f32 1/720 n1_i))))) (.f32 u (pow.f32 normAngle 6))) (+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 (-.f32 (+.f32 (.f32 1/120 n0_i) (.f32 -1/6 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n0_i)))) (+.f32 (.f32 1/120 n1_i) (+.f32 (.f32 -1/36 n1_i) (.f32 1/24 n0_i)))) (.f32 u (pow.f32 normAngle 4))) (+.f32 (.f32 u (.f32 (-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n1_i))) (pow.f32 normAngle 2))) n0_i))))
(fma.f32 (-.f32 (fma.f32 -1/5040 n0_i (fma.f32 1/120 (.f32 n0_i -1/3) (.f32 -1/6 (-.f32 (.f32 n0_i 1/24) (fma.f32 1/120 n0_i (.f32 -1/6 (.f32 n0_i -1/3))))))) (fma.f32 -1/720 n0_i (fma.f32 1/6 (.f32 n1_i -7/360) (.f32 n1_i 1/840)))) (.f32 (pow.f32 normAngle 6) u) (fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (-.f32 (fma.f32 1/120 n0_i (.f32 -1/6 (.f32 n0_i -1/3))) (+.f32 (.f32 n1_i -7/360) (.f32 n0_i 1/24))) (.f32 (pow.f32 normAngle 4) u) (fma.f32 u (.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i -1/6) (fma.f32 -1/2 n0_i (*.f32 -1/6 n1_i)))) n0_i))))
(fma.f32 (-.f32 (fma.f32 n0_i -1/5040 (fma.f32 -1/6 (-.f32 (.f32 n0_i 1/30) (.f32 n0_i 1/18)) (.f32 n0_i -1/360))) (fma.f32 n0_i -1/720 (fma.f32 n1_i 1/840 (.f32 n1_i -7/2160)))) (.f32 (pow.f32 normAngle 6) u) (fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (-.f32 (fma.f32 n0_i 1/120 (.f32 n0_i 1/18)) (fma.f32 n1_i -7/360 (.f32 n0_i 1/24))) (.f32 (pow.f32 normAngle 4) u) (fma.f32 u (.f32 normAngle (.f32 normAngle (+.f32 (.f32 n0_i 1/3) (.f32 1/6 n1_i)))) n0_i))))
(fma.f32 (pow.f32 normAngle 6) (.f32 u (-.f32 (fma.f32 -1/6 (.f32 n0_i -1/45) (.f32 n0_i -1/336)) (fma.f32 n0_i -1/720 (.f32 n1_i -31/15120)))) (fma.f32 (pow.f32 normAngle 4) (.f32 u (-.f32 (fma.f32 n0_i 1/18 (.f32 n1_i 7/360)) (.f32 n0_i 1/30))) (fma.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 normAngle (.f32 normAngle (fma.f32 n0_i 1/3 (.f32 n1_i 1/6))))) n0_i)))
(fma.f32 (pow.f32 normAngle 6) (.f32 u (-.f32 (fma.f32 -1/6 (.f32 n0_i -1/45) (.f32 n0_i -1/336)) (fma.f32 n0_i -1/720 (.f32 n1_i -31/15120)))) (fma.f32 (pow.f32 normAngle 4) (.f32 u (fma.f32 n0_i 23/360 (fma.f32 n0_i -1/24 (.f32 n1_i 7/360)))) (fma.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 normAngle (.f32 normAngle (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))) n0_i)))
(.f32 u (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle))
(.f32 (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))) u)
(.f32 (-.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) u)
(.f32 (.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))))
(+.f32 (.f32 u (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)) n0_i)
(fma.f32 (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i)))) u n0_i)
(fma.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) u n0_i)
(fma.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i)))) n0_i)
(+.f32 (.f32 u (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)) n0_i)
(fma.f32 (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i)))) u n0_i)
(fma.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) u n0_i)
(fma.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i)))) n0_i)
(+.f32 (.f32 u (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)) n0_i)
(fma.f32 (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i)))) u n0_i)
(fma.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) u n0_i)
(fma.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i)))) n0_i)
(.f32 -1 (.f32 (-.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))) (.f32 u normAngle)))
(.f32 (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n0_i)))) u)
(.f32 (-.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) u)
(.f32 (.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))) (.f32 u normAngle))) n0_i)
(fma.f32 (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i)))) u n0_i)
(fma.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) u n0_i)
(fma.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i)))) n0_i)
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))) (.f32 u normAngle))) n0_i)
(fma.f32 (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i)))) u n0_i)
(fma.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) u n0_i)
(fma.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i)))) n0_i)
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -1 (/.f32 n1_i (sin.f32 normAngle))) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))) (.f32 u normAngle))) n0_i)
(fma.f32 (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i)))) u n0_i)
(fma.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) u n0_i)
(fma.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i)))) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 normAngle u))
(.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)) n1_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(fma.f32 (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i)))) u n0_i)
(fma.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) u n0_i)
(fma.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i)))) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(fma.f32 (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i)))) u n0_i)
(fma.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) u n0_i)
(fma.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i)))) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(fma.f32 (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i)))) u n0_i)
(fma.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) u n0_i)
(fma.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i)))) n0_i)
(.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i)
(fma.f32 -1 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 normAngle u)))) n0_i)
(-.f32 n0_i (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 n0_i (*.f32 normAngle u))))
(-.f32 n0_i (.f32 n0_i (.f32 (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (cos.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(fma.f32 (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i)))) u n0_i)
(fma.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) u n0_i)
(fma.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i)))) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(fma.f32 (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i)))) u n0_i)
(fma.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) u n0_i)
(fma.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i)))) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(fma.f32 (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i)))) u n0_i)
(fma.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) u n0_i)
(fma.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i)))) n0_i)
(.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1)))
(fma.f32 -1 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 normAngle u)))) n0_i)
(-.f32 n0_i (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 n0_i (*.f32 normAngle u))))
(-.f32 n0_i (.f32 n0_i (.f32 (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (cos.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1))))
(fma.f32 (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i)))) u n0_i)
(fma.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) u n0_i)
(fma.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i)))) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1))))
(fma.f32 (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i)))) u n0_i)
(fma.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) u n0_i)
(fma.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i)))) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1))))
(fma.f32 (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i)))) u n0_i)
(fma.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle) (/.f32 (cos.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) normAngle))) u n0_i)
(fma.f32 normAngle (*.f32 u (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i)))) n0_i)

localize27.0ms (0.2%)

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)

series6.0ms (0%)

Counts

2 → 30

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	n1_i	@	0	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
0.0ms	u	@	0	(*.f32 (-.f32 1 u) n0_i)
0.0ms	u	@	inf	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
0.0ms	n0_i	@	inf	(*.f32 (-.f32 1 u) n0_i)
0.0ms	n1_i	@	inf	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))

rewrite71.0ms (0.5%)

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 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(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 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(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))))))

simplify72.0ms (0.5%)

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))

localize38.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
✓	10.9b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))

Compiler

Compiled 31 to 9 computations (71% saved)

series6.0ms (0%)

Counts

1 → 8

Calls

9 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	normAngle	@	-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))

rewrite69.0ms (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	14
1	183	14
2	2438	14

Stop Event

1×	node limit

Counts

1 → 61

Calls

Call 1

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

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

665×	`associate-/l*_binary32`
448×	`associate-r_binary32`
436×	`associate-l_binary32`
407×	`distribute-rgt-in_binary32`
381×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	435
1	214	396
2	723	380
3	3635	352

Stop Event

1×	node limit

Counts

69 → 76

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))))

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

localize52.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 1 (sin.f32 normAngle))
✓	0.0b	(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i)
✓	0.0b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	1.3b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))

Compiler

Compiled 55 to 22 computations (60% saved)

series9.0ms (0.1%)

Counts

3 → 88

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	n0_i	@	0	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
1.0ms	normAngle	@	0	(+.f32 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 1 (sin.f32 normAngle))
0.0ms	normAngle	@	0	(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i)

rewrite153.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	269	35
2	3538	35

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

Inputs

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

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

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

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

461×	`associate-r_binary32`
450×	`associate-l_binary32`
408×	`distribute-rgt-in_binary32`
390×	`fma-def_binary32`
381×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1873
1	291	1795
2	919	1689
3	4312	1647

Stop Event

1×	node limit

Counts

201 → 153

Calls

Call 1

Inputs
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
n0_i
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
n0_i
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 1/120 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle))) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) n0_i)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) n0_i))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u))))) (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))))))) (pow.f32 normAngle 6)) (+.f32 (.f32 n1_i u) n0_i))))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
n0_i
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.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 (.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 (sin.f32 (.f32 u normAngle)) n1_i) (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 (sin.f32 (.f32 u normAngle)) n1_i) (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 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 (.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 (sin.f32 (.f32 u normAngle)) n1_i) (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 (sin.f32 (.f32 u normAngle)) n1_i) (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 (sin.f32 (.f32 u normAngle)) n1_i) (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 (sin.f32 (.f32 u normAngle)) n1_i) (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 (sin.f32 (.f32 u normAngle)) n1_i) (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 (sin.f32 (.f32 u normAngle)) n1_i) (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 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 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
n0_i
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
n0_i
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 n0_i (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 u normAngle))) (fma.f32 -1/6 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) n0_i))
(+.f32 n0_i (fma.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (/.f32 (sin.f32 normAngle) n1_i)) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 u normAngle)))))
(fma.f32 -1/6 (.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i))
(+.f32 n0_i (.f32 (/.f32 n1_i (sin.f32 normAngle)) (+.f32 (.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 1/120 (/.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 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 u normAngle))) (fma.f32 1/120 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))) (fma.f32 -1/6 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) n0_i)))
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (.f32 u normAngle))) (fma.f32 1/120 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle)) (fma.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)))
(fma.f32 1/120 (/.f32 (pow.f32 u 5) (/.f32 (sin.f32 normAngle) (.f32 n1_i (pow.f32 normAngle 5)))) (fma.f32 -1/6 (.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 u normAngle) n0_i)))
(+.f32 (fma.f32 -1/6 (.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (/.f32 n1_i (sin.f32 normAngle))) n0_i) (.f32 (/.f32 n1_i (sin.f32 normAngle)) (+.f32 (.f32 u normAngle) (.f32 1/120 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))))))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i)) n0_i)
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n1_i u n0_i)
(fma.f32 u n1_i n0_i)
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) n0_i))
(fma.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 u n1_i))) (.f32 normAngle normAngle) (fma.f32 n1_i u n0_i))
(fma.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) (*.f32 normAngle normAngle) (fma.f32 u n1_i n0_i))
(fma.f32 u n1_i (fma.f32 normAngle (.f32 normAngle (.f32 n1_i (*.f32 (-.f32 (pow.f32 u 3) u) -1/6))) n0_i))
(fma.f32 u n1_i (fma.f32 normAngle (.f32 normAngle (.f32 n1_i (*.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) n0_i))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) n0_i)))
(fma.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 u n1_i))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (fma.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 u n1_i))) (.f32 (*.f32 1/120 n1_i) u))) (pow.f32 normAngle 4) (fma.f32 n1_i u n0_i)))
(fma.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (fma.f32 1/120 (.f32 u n1_i) (.f32 1/36 (.f32 n1_i (-.f32 (pow.f32 u 3) u))))) (pow.f32 normAngle 4) (fma.f32 u n1_i n0_i)))
(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 u n1_i n0_i)))
(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 u n1_i (fma.f32 normAngle (.f32 normAngle (.f32 n1_i (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u))))) (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))))))) (pow.f32 normAngle 6)) (+.f32 (.f32 n1_i u) n0_i))))
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(+.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 u n1_i))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (fma.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 u n1_i))) (.f32 (.f32 1/120 n1_i) u))) (pow.f32 normAngle 4) (.f32 u n1_i)))
(fma.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) (.f32 normAngle normAngle) (fma.f32 u n1_i (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (fma.f32 1/120 (.f32 u n1_i) (.f32 1/36 (*.f32 n1_i (-.f32 (pow.f32 u 3) u))))) (pow.f32 normAngle 4))))
(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 u n1_i (.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) (.f32 normAngle (.f32 normAngle -1/6)))))
(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) (fma.f32 u n1_i (.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) (.f32 normAngle (*.f32 normAngle -1/6)))))
(+.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 u n1_i))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (fma.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 u n1_i))) (.f32 (.f32 1/120 n1_i) u))) (pow.f32 normAngle 4) (fma.f32 (-.f32 (.f32 (.f32 -1/5040 n1_i) (pow.f32 u 7)) (fma.f32 -1/5040 (.f32 u n1_i) (fma.f32 -1/6 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (fma.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 u n1_i))) (.f32 (.f32 1/120 n1_i) u))) (.f32 1/120 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 u n1_i))))))) (pow.f32 normAngle 6) (.f32 u n1_i))))
(fma.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (fma.f32 1/120 (.f32 u n1_i) (.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 1/120 (.f32 n1_i (pow.f32 u 5))) (fma.f32 1/120 (.f32 u n1_i) (.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 u n1_i))))
(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 u n1_i))))
(fma.f32 normAngle (.f32 normAngle (.f32 n1_i (.f32 -1/6 (-.f32 (pow.f32 u 3) 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 (+.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) (.f32 u n1_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 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 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))))

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
✓	0.1b	(fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 u (*.f32 n1_i normAngle)))
✓	0.1b	(.f32 u (.f32 n1_i normAngle))
✓	7.0b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 u (*.f32 n1_i normAngle))) (sin.f32 normAngle))

Compiler

Compiled 61 to 12 computations (80.3% saved)

series17.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

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

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`log-prod_binary32`
402×	`pow2_binary32`
341×	`fma-def_binary32`
282×	`pow1/3_binary32`
274×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	284	50
2	3986	50

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) 2)) (*.f32 (cbrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i)))) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))) 2) (cbrt.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i)))) (*.f32 (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i)))) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 (fma.f32 (sin.f32 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simplify133.0ms (0.9%)

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	2837
1	424	2809
2	1514	2715
3	5066	2715

Stop Event

1×	node limit

Counts

219 → 131

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

eval289.0ms (1.9%)

Compiler: Compiled 18371 to 6613 computations (64% saved)

prune360.0ms (2.4%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	812	19	831
Fresh	7	4	11
Picked	1	0	1
Done	2	2	4
Total	822	25	847

Error

Counts

847 → 25

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
	14.8b	(*.f32 (-.f32 1 u) n0_i)
	0.7b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	5.8b	(+.f32 (*.f32 n1_i u) n0_i)
	6.0b	(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
	0.9b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	17.5b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
	6.2b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) n1_i))
	20.9b	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
	0.2b	(+.f32 (.f32 u (.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) n0_i)
▶	9.0b	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
	5.8b	(fma.f32 u n1_i n0_i)
✓	20.9b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	19.0b	(*.f32 u (-.f32 n1_i n0_i))
▶	0.2b	(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) n0_i) n0_i)
✓	0.8b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
▶	18.4b	(*.f32 u n1_i)
	6.1b	(+.f32 n0_i (.f32 (pow.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))) 2) n1_i))
	7.7b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	7.1b	(/.f32 (fma.f32 (-.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle (cos.f32 normAngle)))) n0_i (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	0.4b	(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 (-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n1_i))) (pow.f32 normAngle 2))) n0_i))
	0.7b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
▶	9.0b	(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
	5.4b	(+.f32 n0_i (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
	18.4b	n0_i

Compiler

Compiled 689 to 456 computations (33.8% saved)

localize76.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 9 computations (76.9% saved)

series26.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	normAngle	@	-inf	(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) n0_i) n0_i)
1.0ms	normAngle	@	0	(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) n0_i) n0_i)
1.0ms	u	@	0	(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) n0_i) n0_i)
1.0ms	normAngle	@	inf	(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) n0_i) n0_i)
1.0ms	n0_i	@	0	(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) n0_i) n0_i)

rewrite129.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

913×	`prod-diff_binary32`
627×	`log-prod_binary32`
298×	`fma-def_binary32`
219×	`pow1/3_binary32`
214×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	222	37
2	3307	37

Stop Event

1×	node limit

Counts

3 → 212

Calls

Call 1

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

Outputs

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

simplify199.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	1475
1	232	1442
2	731	1415
3	3538	1400

Stop Event

1×	node limit

Counts

320 → 253

Calls

Call 1

Inputs
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 -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 (-.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 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 -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 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 (*.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))
(/.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))
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))

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

localize15.0ms (0.1%)

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

localize59.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 27 computations (50.9% saved)

series12.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite124.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`log-prod_binary32`
504×	`fma-def_binary32`
258×	`fma-neg_binary32`
247×	`pow1/3_binary32`
241×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	270	35
2	4038	35

Stop Event

1×	node limit

Counts

4 → 212

Calls

Call 1

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

Outputs
((#(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 (.f32 (cbrt.f32 (exp.f32 (.f32 (-.f32 1 u) n0_i))) (cbrt.f32 (exp.f32 (.f32 (-.f32 1 u) n0_i))))) (log.f32 (cbrt.f32 (exp.f32 (.f32 (-.f32 1 u) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (.f32 (-.f32 1 u) n0_i)))) (log.f32 (sqrt.f32 (exp.f32 (.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 1 (/.f32 (+.f32 1 u) n0_i)) (/.f32 (.f32 u u) (/.f32 (+.f32 1 u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (.f32 u u)) (/.f32 1 (/.f32 (+.f32 1 u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (.f32 u u)) (.f32 n0_i (/.f32 1 (+.f32 1 u))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 n0_i (.f32 (.f32 u (neg.f32 u)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 n0_i (.f32 n0_i (.f32 u (neg.f32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (-.f32 1 (.f32 u u)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 n0_i) (-.f32 1 (.f32 u u)))) (cbrt.f32 (pow.f32 (exp.f32 n0_i) (-.f32 1 (.f32 u u)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 n0_i) (-.f32 1 (.f32 u u))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 n0_i) (-.f32 1 (.f32 u u))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 n0_i) (-.f32 1 (.f32 u u))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 1 (pow.f32 u 6)) n0_i) (+.f32 1 (fma.f32 u u (pow.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 1 (pow.f32 u 4)) n0_i) (fma.f32 u u 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 n0_i (-.f32 1 (pow.f32 u 6))) (+.f32 1 (fma.f32 u u (pow.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 n0_i (-.f32 1 (pow.f32 u 4))) (fma.f32 u u 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (-.f32 1 (.f32 u u)) 3) (pow.f32 n0_i 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 n0_i 3) (pow.f32 (-.f32 1 (.f32 u u)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 n0_i) (-.f32 1 (.f32 u u))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (-.f32 1 (.f32 u u)) 3) (pow.f32 n0_i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 n0_i 3) (pow.f32 (-.f32 1 (.f32 u u)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 n0_i (.f32 (.f32 u (neg.f32 u)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 n0_i (.f32 n0_i (.f32 u (neg.f32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 n0_i 1 (.f32 (.f32 u (neg.f32 u)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 n0_i 1 (.f32 n0_i (.f32 u (neg.f32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 n0_i) (cbrt.f32 (.f32 n0_i n0_i)) (.f32 (.f32 u (neg.f32 u)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 n0_i) (cbrt.f32 (.f32 n0_i n0_i)) (.f32 n0_i (.f32 u (neg.f32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (.f32 n0_i n0_i)) (cbrt.f32 n0_i) (.f32 (.f32 u (neg.f32 u)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (.f32 n0_i n0_i)) (cbrt.f32 n0_i) (.f32 n0_i (.f32 u (neg.f32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 n0_i) (sqrt.f32 n0_i) (.f32 (.f32 u (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 (.f32 u (neg.f32 u))))))))
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(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 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 (.f32 u u)) (/.f32 1 (/.f32 (+.f32 1 u) n0_i)) (.f32 u n1_i))))) (#(struct:change #<rule egg-rr> 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(#(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 (-.f32 1 (.f32 u u)) n0_i)) (.f32 (sqrt.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)) (/.f32 1 (+.f32 1 u))) (.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (-.f32 1 (.f32 u u)) (neg.f32 n0_i)) (/.f32 1 (fma.f32 -1 u -1)) (.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 1 (+.f32 1 u)) (.f32 (-.f32 1 (.f32 u u)) n0_i) (.f32 u n1_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 (/.f32 (-.f32 1 (.f32 u u)) 1) (/.f32 n0_i (+.f32 1 u)) (.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 n0_i 1) (-.f32 1 u) (.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)) 2) 1) (/.f32 (cbrt.f32 (.f32 (-.f32 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u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (+.f32 1 (pow.f32 u 3))) (-.f32 (fma.f32 u u 1) u) (.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 +.f32 1 (.f32 u (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (.f32 (.f32 u (neg.f32 u)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 1 (.f32 u u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u (neg.f32 u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (-.f32 1 (.f32 u u)))) (cbrt.f32 (exp.f32 (-.f32 1 (.f32 u u)))))) (log.f32 (cbrt.f32 (exp.f32 (-.f32 1 (.f32 u u))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (-.f32 1 (.f32 u u))))) (log.f32 (sqrt.f32 (exp.f32 (-.f32 1 (.f32 u u))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (-.f32 1 (.f32 u u)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (.f32 u u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (-.f32 1 (.f32 u u))) (pow.f32 (cbrt.f32 (-.f32 1 (.f32 u u))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (-.f32 1 (.f32 u u))) 2) (cbrt.f32 (-.f32 1 (.f32 u u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (-.f32 1 (.f32 u u))) (sqrt.f32 (-.f32 1 (.f32 u u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (pow.f32 u 6)) (/.f32 1 (+.f32 1 (fma.f32 u u (pow.f32 u 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (pow.f32 u 4)) (/.f32 1 (fma.f32 u u 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 1 (fma.f32 u u (pow.f32 u 4))) (-.f32 1 (pow.f32 u 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 u u 1) (-.f32 1 (pow.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 u 6)) (+.f32 1 (fma.f32 u u (pow.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 u 4)) (fma.f32 u u 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1 (pow.f32 u 6))) (neg.f32 (+.f32 1 (fma.f32 u u (pow.f32 u 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1 (pow.f32 u 4))) (neg.f32 (fma.f32 u u 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (.f32 u (neg.f32 u)) 3)) (+.f32 1 (-.f32 (.f32 (.f32 u (neg.f32 u)) (.f32 u (neg.f32 u))) (.f32 u (neg.f32 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (.f32 (.f32 u (neg.f32 u)) (.f32 u (neg.f32 u)))) (-.f32 1 (.f32 u (neg.f32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 1 (.f32 u u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 1 (.f32 u u)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (-.f32 1 (.f32 u u))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 1 (.f32 u u))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 1 (fma.f32 u u (pow.f32 u 4))) (-.f32 1 (pow.f32 u 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 u u 1) (-.f32 1 (pow.f32 u 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (-.f32 1 (.f32 u u)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (-.f32 1 (.f32 u u))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (-.f32 1 (.f32 u u)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (-.f32 1 (.f32 u u)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (-.f32 1 (.f32 u u))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (-.f32 1 (.f32 u u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log1p.f32 (.f32 u (neg.f32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log1p.f32 (.f32 u (neg.f32 u))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 u (neg.f32 u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u (neg.f32 u) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 u 4)) (neg.f32 (pow.f32 (cbrt.f32 u) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (neg.f32 u) u 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (cbrt.f32 (.f32 u (neg.f32 u))) (cbrt.f32 (.f32 u (neg.f32 u)))) (cbrt.f32 (.f32 u (neg.f32 u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u (neg.f32 u))) (sqrt.f32 (.f32 u (neg.f32 u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1 (.f32 u u) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (neg.f32 (cbrt.f32 (pow.f32 u 4))) (pow.f32 (cbrt.f32 u) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (neg.f32 u) 1) u 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (neg.f32 u) (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (neg.f32 u) (sqrt.f32 u)) (sqrt.f32 u) 1)))))

simplify112.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

790×	`fma-neg_binary32`
670×	`fma-def_binary32`
425×	`times-frac_binary32`
380×	`unsub-neg_binary32`
281×	`sub-neg_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	1110
1	104	1080
2	211	1080
3	480	1080
4	1539	1080
5	4179	1080
6	7634	1080

Stop Event

1×	node limit

Counts

308 → 245

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 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
n0_i
(+.f32 (.f32 -1 (.f32 (pow.f32 u 2) n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 (pow.f32 u 2) n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 (pow.f32 u 2) n0_i)) n0_i)
(.f32 -1 (.f32 (pow.f32 u 2) n0_i))
(+.f32 n0_i (.f32 -1 (.f32 (pow.f32 u 2) n0_i)))
(+.f32 n0_i (.f32 -1 (.f32 (pow.f32 u 2) n0_i)))
(+.f32 n0_i (.f32 -1 (.f32 (pow.f32 u 2) n0_i)))
(.f32 -1 (.f32 (pow.f32 u 2) n0_i))
(+.f32 n0_i (.f32 -1 (.f32 (pow.f32 u 2) n0_i)))
(+.f32 n0_i (.f32 -1 (.f32 (pow.f32 u 2) n0_i)))
(+.f32 n0_i (.f32 -1 (.f32 (pow.f32 u 2) n0_i)))
(*.f32 (-.f32 1 (pow.f32 u 2)) n0_i)
(*.f32 (-.f32 1 (pow.f32 u 2)) n0_i)
(*.f32 (-.f32 1 (pow.f32 u 2)) n0_i)
(*.f32 (-.f32 1 (pow.f32 u 2)) n0_i)
(*.f32 (-.f32 1 (pow.f32 u 2)) n0_i)
(*.f32 (-.f32 1 (pow.f32 u 2)) n0_i)
(*.f32 (-.f32 1 (pow.f32 u 2)) n0_i)
(*.f32 (-.f32 1 (pow.f32 u 2)) n0_i)
(*.f32 (-.f32 1 (pow.f32 u 2)) n0_i)
(*.f32 (-.f32 1 (pow.f32 u 2)) n0_i)
(*.f32 (-.f32 1 (pow.f32 u 2)) n0_i)
(*.f32 (-.f32 1 (pow.f32 u 2)) n0_i)
(/.f32 (*.f32 (-.f32 1 (pow.f32 u 2)) n0_i) (+.f32 1 u))
(+.f32 (/.f32 (.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u)) (.f32 n1_i u))
(+.f32 (/.f32 (.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u)) (.f32 n1_i u))
(+.f32 (/.f32 (.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u)) (.f32 n1_i u))
(*.f32 n1_i u)
(+.f32 (/.f32 (.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u)) (.f32 n1_i u))
(+.f32 (/.f32 (.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u)) (.f32 n1_i u))
(+.f32 (/.f32 (.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u)) (.f32 n1_i u))
(*.f32 n1_i u)
(+.f32 (/.f32 (.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u)) (.f32 n1_i u))
(+.f32 (/.f32 (.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u)) (.f32 n1_i u))
(+.f32 (/.f32 (.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u)) (.f32 n1_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 n1_i 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 n1_i u) (.f32 (-.f32 (/.f32 1 (+.f32 1 u)) (/.f32 (pow.f32 u 2) (+.f32 1 u))) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (/.f32 1 (+.f32 1 u)) (/.f32 (pow.f32 u 2) (+.f32 1 u))) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (/.f32 1 (+.f32 1 u)) (/.f32 (pow.f32 u 2) (+.f32 1 u))) n0_i))
(*.f32 (-.f32 (/.f32 1 (+.f32 1 u)) (/.f32 (pow.f32 u 2) (+.f32 1 u))) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (/.f32 1 (+.f32 1 u)) (/.f32 (pow.f32 u 2) (+.f32 1 u))) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (/.f32 1 (+.f32 1 u)) (/.f32 (pow.f32 u 2) (+.f32 1 u))) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (/.f32 1 (+.f32 1 u)) (/.f32 (pow.f32 u 2) (+.f32 1 u))) n0_i))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (pow.f32 u 2)) n0_i) (+.f32 1 u)))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (pow.f32 u 2)) n0_i) (+.f32 1 u)))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (pow.f32 u 2)) n0_i) (+.f32 1 u)))
1
(+.f32 1 (*.f32 -1 (pow.f32 u 2)))
(+.f32 1 (*.f32 -1 (pow.f32 u 2)))
(+.f32 1 (*.f32 -1 (pow.f32 u 2)))
(*.f32 -1 (pow.f32 u 2))
(+.f32 1 (*.f32 -1 (pow.f32 u 2)))
(+.f32 1 (*.f32 -1 (pow.f32 u 2)))
(+.f32 1 (*.f32 -1 (pow.f32 u 2)))
(*.f32 -1 (pow.f32 u 2))
(+.f32 1 (*.f32 -1 (pow.f32 u 2)))
(+.f32 1 (*.f32 -1 (pow.f32 u 2)))
(+.f32 1 (*.f32 -1 (pow.f32 u 2)))

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

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
✓	0.1b	(.f32 n1_i (.f32 u normAngle))
✓	10.9b	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))

Compiler

Compiled 36 to 9 computations (75% saved)

series12.0ms (0.1%)

Counts

3 → 19

Calls

30 calls:

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

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`prod-diff_binary32`
640×	`log-prod_binary32`
313×	`fma-def_binary32`
213×	`pow1/3_binary32`
206×	`expm1-udef_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	216	34
2	3176	32

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

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

Outputs

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

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

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

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

670×	`fma-neg_binary32`
441×	`fma-def_binary32`
352×	`associate--r+_binary32`
326×	`associate--l+_binary32`
318×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	324
1	156	306
2	580	281
3	2737	267

Stop Event

1×	node limit

Counts

162 → 161

Calls

Call 1

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

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

localize86.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
	10.9b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))

Compiler

Compiled 43 to 10 computations (76.7% saved)

series4.0ms (0%)

Counts

1 → 14

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	normAngle	@	0	(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
0.0ms	n0_i	@	0	(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
0.0ms	u	@	0	(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
0.0ms	n0_i	@	-inf	(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
0.0ms	u	@	inf	(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))

rewrite117.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`log-prod_binary32`
424×	`pow-prod-down_binary32`
325×	`pow2_binary32`
251×	`fma-def_binary32`
228×	`pow1/3_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	233	17
2	3306	15

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

511×	`associate-/l*_binary32`
407×	`distribute-rgt-in_binary32`
391×	`associate-r_binary32`
389×	`associate-l_binary32`
381×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	413
1	216	376
2	722	358
3	3553	344

Stop Event

1×	node limit

Counts

84 → 87

Calls

Call 1

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

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

eval385.0ms (2.6%)

Compiler: Compiled 16721 to 6333 computations (62.1% saved)

prune224.0ms (1.5%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	880	13	893
Fresh	8	10	18
Picked	0	1	1
Done	2	4	6
Total	890	28	918

Error

Counts

918 → 28

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
	14.8b	(*.f32 (-.f32 1 u) n0_i)
	14.8b	(-.f32 n0_i (*.f32 n0_i u))
	3.2b	(fma.f32 u (-.f32 (*.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 n1_i (/.f32 1 normAngle))) n0_i) n0_i)
	7.7b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	5.6b	(+.f32 (.f32 u (+.f32 n1_i (.f32 (.f32 normAngle normAngle) (.f32 n1_i 1/6)))) n0_i)
	0.9b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	5.8b	(fma.f32 u n1_i n0_i)
	5.8b	(+.f32 (*.f32 n1_i u) n0_i)
	3.3b	(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
	17.5b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
	6.2b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) n1_i))
	6.0b	(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
▶	0.4b	(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 (-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n1_i))) (pow.f32 normAngle 2))) n0_i))
▶	19.0b	(*.f32 u (-.f32 n1_i n0_i))
	0.7b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
✓	0.8b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	5.6b	(+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
	0.7b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
✓	9.0b	(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
✓	18.4b	(*.f32 u n1_i)
▶	2.9b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 1 n0_i) (+.f32 1 u)))
	20.9b	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
▶	0.2b	(+.f32 (.f32 u (.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) n0_i)
	7.1b	(/.f32 (fma.f32 (-.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle (cos.f32 normAngle)))) n0_i (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
✓	20.9b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
▶	9.0b	(+.f32 n0_i (/.f32 (.f32 u (.f32 n1_i normAngle)) (sin.f32 normAngle)))
	18.4b	n0_i

Compiler

Compiled 744 to 494 computations (33.6% saved)

localize86.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 68 to 12 computations (82.4% saved)

series49.0ms (0.3%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
21.0ms	u	@	inf	(.f32 u (.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))
2.0ms	u	@	0	(.f32 u (.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))))
2.0ms	normAngle	@	-inf	(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))
2.0ms	u	@	0	(+.f32 (.f32 u (.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) n0_i)
2.0ms	normAngle	@	inf	(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))

rewrite126.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

865×	`log-prod_binary32`
544×	`fma-def_binary32`
322×	`fma-neg_binary32`
290×	`expm1-udef_binary32`
290×	`log1p-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	72
1	298	72
2	4661	72

Stop Event

1×	node limit

Counts

4 → 254

Calls

Call 1

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

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

simplify127.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

700×	`fma-def_binary32`
651×	`fma-neg_binary32`
468×	`associate-+l+_binary32`
399×	`associate-+r+_binary32`
375×	`associate-r_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	3957
1	428	3809
2	1316	3761
3	6500	3761

Stop Event

1×	node limit

Counts

422 → 318

Calls

Call 1

Inputs
(-.f32 n1_i n0_i)
(-.f32 (+.f32 (.f32 (-.f32 (.f32 1/3 n0_i) (*.f32 -1/6 n1_i)) (pow.f32 normAngle 2)) n1_i) n0_i)
(-.f32 (+.f32 (.f32 (-.f32 (.f32 1/3 n0_i) (.f32 -1/6 n1_i)) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/9 n0_i) (.f32 2/15 n0_i)) (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (pow.f32 normAngle 4)) n1_i)) n0_i)
(-.f32 (+.f32 (.f32 (-.f32 (.f32 1/3 n0_i) (.f32 -1/6 n1_i)) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/3 (+.f32 (.f32 -1/9 n0_i) (.f32 2/15 n0_i))) (+.f32 (.f32 17/315 n0_i) (.f32 -2/45 n0_i))) (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (+.f32 (.f32 -1/5040 n1_i) (.f32 1/720 n1_i)))) (pow.f32 normAngle 6)) (+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/9 n0_i) (.f32 2/15 n0_i)) (+.f32 (.f32 1/120 n1_i) (*.f32 -1/36 n1_i))) (pow.f32 normAngle 4)) n1_i))) n0_i)
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)
(.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle)))
(+.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 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))
(+.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 normAngle) (sin.f32 normAngle))
(+.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 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))
(+.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 normAngle) (sin.f32 normAngle))
(+.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 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))
(+.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 normAngle) (sin.f32 normAngle))
(+.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 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))
(.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle)))
(+.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 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))
(.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle)))
(+.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 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))
(.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (-.f32 n1_i n0_i) normAngle)
(-.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 (-.f32 (.f32 1/3 n0_i) (*.f32 -1/6 n1_i)) normAngle)) (/.f32 n0_i normAngle))
(-.f32 (+.f32 (/.f32 n1_i normAngle) (+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/9 n0_i) (.f32 2/15 n0_i)) (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (pow.f32 normAngle 3)) (.f32 (-.f32 (.f32 1/3 n0_i) (.f32 -1/6 n1_i)) normAngle))) (/.f32 n0_i normAngle))
(-.f32 (+.f32 (/.f32 n1_i normAngle) (+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/9 n0_i) (.f32 2/15 n0_i)) (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (pow.f32 normAngle 3)) (+.f32 (.f32 (-.f32 (.f32 1/3 n0_i) (.f32 -1/6 n1_i)) normAngle) (.f32 (-.f32 (+.f32 (.f32 -1/3 (+.f32 (.f32 -1/9 n0_i) (.f32 2/15 n0_i))) (+.f32 (.f32 17/315 n0_i) (.f32 -2/45 n0_i))) (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (+.f32 (.f32 -1/5040 n1_i) (*.f32 1/720 n1_i)))) (pow.f32 normAngle 5))))) (/.f32 n0_i normAngle))
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 (-.f32 (.f32 1/3 n0_i) (.f32 -1/6 n1_i)) (*.f32 u (pow.f32 normAngle 2))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/9 n0_i) (.f32 2/15 n0_i)) (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (.f32 u (pow.f32 normAngle 4))) (.f32 (-.f32 (.f32 1/3 n0_i) (.f32 -1/6 n1_i)) (*.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/3 (+.f32 (.f32 -1/9 n0_i) (.f32 2/15 n0_i))) (+.f32 (.f32 17/315 n0_i) (.f32 -2/45 n0_i))) (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (+.f32 (.f32 -1/5040 n1_i) (.f32 1/720 n1_i)))) (.f32 u (pow.f32 normAngle 6))) (+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/9 n0_i) (.f32 2/15 n0_i)) (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (.f32 u (pow.f32 normAngle 4))) (.f32 (-.f32 (.f32 1/3 n0_i) (.f32 -1/6 n1_i)) (*.f32 u (pow.f32 normAngle 2))))))
(.f32 u (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle))
(.f32 u (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle))
(.f32 u (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle))
(.f32 u (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
n0_i
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 (-.f32 (.f32 1/3 n0_i) (.f32 -1/6 n1_i)) (*.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/9 n0_i) (.f32 2/15 n0_i)) (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (.f32 u (pow.f32 normAngle 4))) (+.f32 n0_i (.f32 (-.f32 (.f32 1/3 n0_i) (.f32 -1/6 n1_i)) (*.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/3 (+.f32 (.f32 -1/9 n0_i) (.f32 2/15 n0_i))) (+.f32 (.f32 17/315 n0_i) (.f32 -2/45 n0_i))) (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (+.f32 (.f32 -1/5040 n1_i) (.f32 1/720 n1_i)))) (.f32 u (pow.f32 normAngle 6))) (+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/9 n0_i) (.f32 2/15 n0_i)) (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (.f32 u (pow.f32 normAngle 4))) (+.f32 n0_i (.f32 (-.f32 (.f32 1/3 n0_i) (.f32 -1/6 n1_i)) (*.f32 u (pow.f32 normAngle 2)))))))
(.f32 u (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle))
(+.f32 (.f32 u (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)) n0_i)
(+.f32 (.f32 u (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)) n0_i)
(+.f32 (.f32 u (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)) n0_i)
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1))))

Outputs
(-.f32 n1_i n0_i)
(-.f32 (+.f32 (.f32 (-.f32 (.f32 1/3 n0_i) (*.f32 -1/6 n1_i)) (pow.f32 normAngle 2)) n1_i) n0_i)
(-.f32 (fma.f32 (+.f32 (.f32 n0_i 1/3) (.f32 1/6 n1_i)) (*.f32 normAngle normAngle) n1_i) n0_i)
(-.f32 (fma.f32 (fma.f32 n0_i 1/3 (.f32 n1_i 1/6)) (.f32 normAngle normAngle) n1_i) n0_i)
(-.f32 (fma.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) (.f32 normAngle normAngle) n1_i) n0_i)
(-.f32 (+.f32 (.f32 (-.f32 (.f32 1/3 n0_i) (.f32 -1/6 n1_i)) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/9 n0_i) (.f32 2/15 n0_i)) (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (pow.f32 normAngle 4)) n1_i)) n0_i)
(-.f32 (fma.f32 (+.f32 (.f32 n0_i 1/3) (.f32 1/6 n1_i)) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 n0_i 1/45) (*.f32 n1_i -7/360)) (pow.f32 normAngle 4) n1_i)) n0_i)
(fma.f32 (fma.f32 n0_i 1/3 (.f32 n1_i 1/6)) (.f32 normAngle normAngle) (-.f32 (fma.f32 (fma.f32 n0_i 1/45 (*.f32 n1_i 7/360)) (pow.f32 normAngle 4) n1_i) n0_i))
(-.f32 (fma.f32 (fma.f32 n1_i 7/360 (.f32 n0_i 1/45)) (pow.f32 normAngle 4) (fma.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) (*.f32 normAngle normAngle) n1_i)) n0_i)
(-.f32 (+.f32 (.f32 (-.f32 (.f32 1/3 n0_i) (.f32 -1/6 n1_i)) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/3 (+.f32 (.f32 -1/9 n0_i) (.f32 2/15 n0_i))) (+.f32 (.f32 17/315 n0_i) (.f32 -2/45 n0_i))) (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (+.f32 (.f32 -1/5040 n1_i) (.f32 1/720 n1_i)))) (pow.f32 normAngle 6)) (+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/9 n0_i) (.f32 2/15 n0_i)) (+.f32 (.f32 1/120 n1_i) (*.f32 -1/36 n1_i))) (pow.f32 normAngle 4)) n1_i))) n0_i)
(-.f32 (fma.f32 (+.f32 (.f32 n0_i 1/3) (.f32 1/6 n1_i)) (.f32 normAngle normAngle) (fma.f32 (-.f32 (fma.f32 -1/3 (.f32 n0_i 1/45) (.f32 n0_i 1/105)) (fma.f32 1/6 (.f32 n1_i -7/360) (.f32 n1_i 1/840))) (pow.f32 normAngle 6) (fma.f32 (-.f32 (.f32 n0_i 1/45) (*.f32 n1_i -7/360)) (pow.f32 normAngle 4) n1_i))) n0_i)
(fma.f32 (fma.f32 n0_i 1/3 (.f32 n1_i 1/6)) (.f32 normAngle normAngle) (-.f32 (fma.f32 (-.f32 (fma.f32 n0_i 1/105 (.f32 n0_i -1/135)) (fma.f32 n1_i 1/840 (.f32 n1_i -7/2160))) (pow.f32 normAngle 6) (fma.f32 (fma.f32 n0_i 1/45 (*.f32 n1_i 7/360)) (pow.f32 normAngle 4) n1_i)) n0_i))
(-.f32 (fma.f32 (-.f32 (.f32 n0_i 2/945) (.f32 n1_i -31/15120)) (pow.f32 normAngle 6) (fma.f32 (fma.f32 n1_i 7/360 (.f32 n0_i 1/45)) (pow.f32 normAngle 4) (fma.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) (*.f32 normAngle normAngle) n1_i))) n0_i)
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))))
(.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)))
(.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))))
(.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)))
(.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))))
(.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)))
(.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))))
(.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)))
(.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) normAngle)
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))))
(.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)))
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(.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle)) (neg.f32 (*.f32 normAngle u)))
(.f32 n0_i (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 (neg.f32 u) normAngle)))
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(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u))
(.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) u))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (*.f32 normAngle u))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u))
(.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) u))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (*.f32 normAngle u))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))))
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(.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) u))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (*.f32 normAngle u))
n0_i
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
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(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
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(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
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(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u))
(.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) u))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (*.f32 normAngle u))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
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(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
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(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u))
(.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) u))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (*.f32 normAngle u))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle 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) (+.f32 n0_i (.f32 (-.f32 (.f32 1/3 n0_i) (.f32 -1/6 n1_i)) (*.f32 u (pow.f32 normAngle 2)))))
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (+.f32 (.f32 n0_i 1/3) (.f32 1/6 n1_i)) (.f32 (*.f32 normAngle normAngle) u)))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (fma.f32 n0_i 1/3 (.f32 n1_i 1/6)) (.f32 (*.f32 normAngle normAngle) u) n0_i))
(+.f32 n0_i (.f32 u (-.f32 (fma.f32 (fma.f32 n1_i 1/6 (.f32 n0_i 1/3)) (*.f32 normAngle normAngle) n1_i) n0_i)))
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(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (-.f32 (.f32 n0_i 1/45) (.f32 n1_i -7/360)) (.f32 (pow.f32 normAngle 4) u) (+.f32 n0_i (.f32 (+.f32 (.f32 n0_i 1/3) (.f32 1/6 n1_i)) (.f32 (.f32 normAngle normAngle) u)))))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (fma.f32 n0_i 1/45 (.f32 n1_i 7/360)) (.f32 (pow.f32 normAngle 4) u) (fma.f32 (fma.f32 n0_i 1/3 (.f32 n1_i 1/6)) (.f32 (*.f32 normAngle normAngle) u) n0_i)))
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(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u))
(.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) u))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (*.f32 normAngle u))
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(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
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(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
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(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
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(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
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(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u))
(.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) u))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (*.f32 normAngle u))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
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(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
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(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle))) (*.f32 u normAngle)))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i)
(fma.f32 -1 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 normAngle u)))) n0_i)
(-.f32 n0_i (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 normAngle u)))))
(-.f32 n0_i (.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle)) (*.f32 normAngle u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 normAngle u))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 normAngle u))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle))) (sin.f32 normAngle))) n0_i))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle u)))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 normAngle u))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i)
(fma.f32 -1 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 normAngle u)))) n0_i)
(-.f32 n0_i (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 normAngle u)))))
(-.f32 n0_i (.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle)) (*.f32 normAngle u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)))) n0_i))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1)))
(fma.f32 -1 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 normAngle u)))) n0_i)
(-.f32 n0_i (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 normAngle u)))))
(-.f32 n0_i (.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle)) (*.f32 normAngle u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1))))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1))))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i (-.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle)) 1))))
(+.f32 n0_i (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) n0_i))) (.f32 normAngle u)))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) n0_i)) (.f32 normAngle u) n0_i)
(fma.f32 normAngle (.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) u) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 normAngle u) n0_i)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u	@	0	(*.f32 u (-.f32 n1_i n0_i))
0.0ms	u	@	inf	(*.f32 u (-.f32 n1_i n0_i))
0.0ms	n1_i	@	inf	(*.f32 u (-.f32 n1_i n0_i))
0.0ms	n1_i	@	-inf	(*.f32 u (-.f32 n1_i n0_i))
0.0ms	u	@	-inf	(*.f32 u (-.f32 n1_i n0_i))

rewrite50.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary32`
672×	`add-log-exp_binary32`
672×	`log1p-expm1-u_binary32`
672×	`expm1-log1p-u_binary32`
657×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1784	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

203×	`fma-def_binary32`
124×	`fma-neg_binary32`
43×	`cancel-sign-sub-inv_binary32`
34×	`distribute-rgt-in_binary32`
26×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	240
1	22	240
2	43	240
3	62	240
4	92	240
5	158	240
6	287	240
7	418	240
8	599	240
9	737	240
10	749	240

Stop Event

1×

saturated

Counts

55 → 24

Calls

Call 1

Inputs
(*.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)))

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

localize42.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 1 n0_i) (+.f32 1 u)))
✓	0.3b	(/.f32 (*.f32 1 n0_i) (+.f32 1 u))

Compiler

Compiled 35 to 21 computations (40% saved)

series7.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	u	@	-inf	(/.f32 (*.f32 1 n0_i) (+.f32 1 u))
1.0ms	n0_i	@	0	(/.f32 (*.f32 1 n0_i) (+.f32 1 u))
1.0ms	u	@	inf	(/.f32 (*.f32 1 n0_i) (+.f32 1 u))
1.0ms	n0_i	@	-inf	(/.f32 (*.f32 1 n0_i) (+.f32 1 u))
0.0ms	n1_i	@	0	(+.f32 (.f32 n1_i u) (/.f32 (.f32 1 n0_i) (+.f32 1 u)))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`log-prod_binary32`
405×	`fma-def_binary32`
379×	`exp-prod_binary32`
338×	`pow-prod-down_binary32`
265×	`pow2_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	218	18
2	2878	18

Stop Event

1×	node limit

Counts

2 → 132

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (*.f32 u n1_i) 2) (-.f32 (*.f32 u n1_i) (/.f32 n0_i (+.f32 1 u)))) (/.f32 (pow.f32 (/.f32 n0_i (+.f32 1 u)) 2) (-.f32 (*.f32 u n1_i) (/.f32 n0_i (+.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))) (pow.f32 (cbrt.f32 (fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))) 2) (cbrt.f32 (fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))) (sqrt.f32 (fma.f32 u n1_i (/.f32 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simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

912×	`fma-def_binary32`
401×	`associate-/l/_binary32`
347×	`sub-neg_binary32`
281×	`distribute-rgt-neg-in_binary32`
279×	`fma-neg_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	689
1	124	658
2	329	651
3	1062	625
4	4652	611

Stop Event

1×	node limit

Counts

192 → 162

Calls

Call 1

Inputs
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
n0_i
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n0_i (pow.f32 u 2)) n0_i))
(+.f32 (.f32 -1 (.f32 (pow.f32 u 3) n0_i)) (+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n0_i (pow.f32 u 2)) n0_i)))
(/.f32 n0_i u)
(+.f32 (/.f32 n0_i u) (*.f32 -1 (/.f32 n0_i (pow.f32 u 2))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (/.f32 n0_i u) (*.f32 -1 (/.f32 n0_i (pow.f32 u 2)))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (.f32 -1 (/.f32 n0_i (pow.f32 u 4))) (+.f32 (/.f32 n0_i u) (.f32 -1 (/.f32 n0_i (pow.f32 u 2))))))
(/.f32 n0_i u)
(+.f32 (/.f32 n0_i u) (*.f32 -1 (/.f32 n0_i (pow.f32 u 2))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (/.f32 n0_i u) (*.f32 -1 (/.f32 n0_i (pow.f32 u 2)))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (.f32 -1 (/.f32 n0_i (pow.f32 u 4))) (+.f32 (/.f32 n0_i u) (.f32 -1 (/.f32 n0_i (pow.f32 u 2))))))
(/.f32 n0_i (+.f32 1 u))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(*.f32 n1_i u)
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(*.f32 n1_i u)
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
n0_i
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 n0_i (pow.f32 u 2)) n0_i))
(+.f32 (.f32 -1 (.f32 (pow.f32 u 3) n0_i)) (+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 n0_i (pow.f32 u 2)) n0_i)))
(*.f32 n1_i u)
(+.f32 (/.f32 n0_i u) (*.f32 n1_i u))
(+.f32 (/.f32 n0_i u) (+.f32 (.f32 n1_i u) (.f32 -1 (/.f32 n0_i (pow.f32 u 2)))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (/.f32 n0_i u) (+.f32 (.f32 n1_i u) (.f32 -1 (/.f32 n0_i (pow.f32 u 2))))))
(*.f32 n1_i u)
(+.f32 (/.f32 n0_i u) (*.f32 n1_i u))
(+.f32 (/.f32 n0_i u) (+.f32 (.f32 n1_i u) (.f32 -1 (/.f32 n0_i (pow.f32 u 2)))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (/.f32 n0_i u) (+.f32 (.f32 n1_i u) (.f32 -1 (/.f32 n0_i (pow.f32 u 2))))))
(*.f32 n1_i u)
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(/.f32 n0_i (+.f32 1 u))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(/.f32 n0_i (+.f32 1 u))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))

Outputs
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 1 u))
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)) (+.f32 (*.f32 n0_i (pow.f32 u 2)) n0_i))
(fma.f32 -1 (.f32 n0_i u) (fma.f32 n0_i (.f32 u u) n0_i))
(-.f32 (fma.f32 n0_i (.f32 u u) n0_i) (.f32 n0_i u))
(*.f32 n0_i (-.f32 (fma.f32 u u 1) u))
(fma.f32 u (-.f32 (*.f32 n0_i u) n0_i) n0_i)
(+.f32 (.f32 -1 (.f32 (pow.f32 u 3) n0_i)) (+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n0_i (pow.f32 u 2)) n0_i)))
(fma.f32 -1 (.f32 n0_i (pow.f32 u 3)) (fma.f32 -1 (.f32 n0_i u) (fma.f32 n0_i (*.f32 u u) n0_i)))
(-.f32 (-.f32 (fma.f32 n0_i (.f32 u u) n0_i) (.f32 n0_i u)) (*.f32 n0_i (pow.f32 u 3)))
(-.f32 (.f32 n0_i (-.f32 (fma.f32 u u 1) u)) (.f32 n0_i (pow.f32 u 3)))
(.f32 (fma.f32 u u 1) (-.f32 n0_i (.f32 n0_i u)))
(/.f32 n0_i u)
(+.f32 (/.f32 n0_i u) (*.f32 -1 (/.f32 n0_i (pow.f32 u 2))))
(+.f32 (/.f32 n0_i u) (neg.f32 (/.f32 n0_i (*.f32 u u))))
(-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (/.f32 n0_i u) (*.f32 -1 (/.f32 n0_i (pow.f32 u 2)))))
(+.f32 (+.f32 (/.f32 n0_i u) (neg.f32 (/.f32 n0_i (*.f32 u u)))) (/.f32 n0_i (pow.f32 u 3)))
(+.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (/.f32 n0_i (pow.f32 u 3)))
(+.f32 (/.f32 n0_i u) (-.f32 (/.f32 n0_i (pow.f32 u 3)) (/.f32 n0_i (*.f32 u u))))
(fma.f32 (+.f32 1 (/.f32 -1 u)) (/.f32 n0_i u) (/.f32 n0_i (pow.f32 u 3)))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (.f32 -1 (/.f32 n0_i (pow.f32 u 4))) (+.f32 (/.f32 n0_i u) (.f32 -1 (/.f32 n0_i (pow.f32 u 2))))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (fma.f32 -1 (/.f32 n0_i (pow.f32 u 4)) (+.f32 (/.f32 n0_i u) (neg.f32 (/.f32 n0_i (*.f32 u u))))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (-.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (/.f32 n0_i (pow.f32 u 4))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (-.f32 (/.f32 n0_i u) (+.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (pow.f32 u 4)))))
(fma.f32 (+.f32 1 (/.f32 -1 u)) (/.f32 n0_i u) (-.f32 (/.f32 n0_i (pow.f32 u 3)) (/.f32 n0_i (pow.f32 u 4))))
(*.f32 (+.f32 1 (/.f32 -1 u)) (+.f32 (/.f32 n0_i u) (/.f32 n0_i (pow.f32 u 3))))
(/.f32 n0_i u)
(+.f32 (/.f32 n0_i u) (*.f32 -1 (/.f32 n0_i (pow.f32 u 2))))
(+.f32 (/.f32 n0_i u) (neg.f32 (/.f32 n0_i (*.f32 u u))))
(-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (/.f32 n0_i u) (*.f32 -1 (/.f32 n0_i (pow.f32 u 2)))))
(+.f32 (+.f32 (/.f32 n0_i u) (neg.f32 (/.f32 n0_i (*.f32 u u)))) (/.f32 n0_i (pow.f32 u 3)))
(+.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (/.f32 n0_i (pow.f32 u 3)))
(+.f32 (/.f32 n0_i u) (-.f32 (/.f32 n0_i (pow.f32 u 3)) (/.f32 n0_i (*.f32 u u))))
(fma.f32 (+.f32 1 (/.f32 -1 u)) (/.f32 n0_i u) (/.f32 n0_i (pow.f32 u 3)))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (.f32 -1 (/.f32 n0_i (pow.f32 u 4))) (+.f32 (/.f32 n0_i u) (.f32 -1 (/.f32 n0_i (pow.f32 u 2))))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (fma.f32 -1 (/.f32 n0_i (pow.f32 u 4)) (+.f32 (/.f32 n0_i u) (neg.f32 (/.f32 n0_i (*.f32 u u))))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (-.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (/.f32 n0_i (pow.f32 u 4))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (-.f32 (/.f32 n0_i u) (+.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (pow.f32 u 4)))))
(fma.f32 (+.f32 1 (/.f32 -1 u)) (/.f32 n0_i u) (-.f32 (/.f32 n0_i (pow.f32 u 3)) (/.f32 n0_i (pow.f32 u 4))))
(*.f32 (+.f32 1 (/.f32 -1 u)) (+.f32 (/.f32 n0_i u) (/.f32 n0_i (pow.f32 u 3))))
(/.f32 n0_i (+.f32 1 u))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 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 n0_i (pow.f32 u 2)) n0_i))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 n0_i (*.f32 u u) n0_i))
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 n0_i (*.f32 u u) n0_i))
(fma.f32 n0_i (*.f32 u u) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.f32 u (fma.f32 n0_i u (-.f32 n1_i n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 (pow.f32 u 3) n0_i)) (+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 n0_i (pow.f32 u 2)) n0_i)))
(fma.f32 -1 (.f32 n0_i (pow.f32 u 3)) (fma.f32 (-.f32 n1_i n0_i) u (fma.f32 n0_i (.f32 u u) n0_i)))
(-.f32 (fma.f32 u (-.f32 n1_i n0_i) (fma.f32 n0_i (.f32 u u) n0_i)) (.f32 n0_i (pow.f32 u 3)))
(fma.f32 u (-.f32 n1_i n0_i) (*.f32 n0_i (+.f32 (neg.f32 (pow.f32 u 3)) (fma.f32 u u 1))))
(fma.f32 u n1_i (.f32 (fma.f32 u u 1) (-.f32 n0_i (.f32 n0_i u))))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (/.f32 n0_i u) (*.f32 n1_i u))
(+.f32 (/.f32 n0_i u) (*.f32 u n1_i))
(fma.f32 u n1_i (/.f32 n0_i u))
(+.f32 (/.f32 n0_i u) (+.f32 (.f32 n1_i u) (.f32 -1 (/.f32 n0_i (pow.f32 u 2)))))
(+.f32 (/.f32 n0_i u) (fma.f32 n1_i u (neg.f32 (/.f32 n0_i (*.f32 u u)))))
(-.f32 (fma.f32 u n1_i (/.f32 n0_i u)) (/.f32 n0_i (*.f32 u u)))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (/.f32 n0_i u) (+.f32 (.f32 n1_i u) (.f32 -1 (/.f32 n0_i (pow.f32 u 2))))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (/.f32 n0_i u) (fma.f32 n1_i u (neg.f32 (/.f32 n0_i (*.f32 u u))))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (-.f32 (fma.f32 u n1_i (/.f32 n0_i u)) (/.f32 n0_i (*.f32 u u))))
(fma.f32 (+.f32 1 (/.f32 -1 u)) (/.f32 n0_i u) (fma.f32 u n1_i (/.f32 n0_i (pow.f32 u 3))))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (/.f32 n0_i u) (*.f32 n1_i u))
(+.f32 (/.f32 n0_i u) (*.f32 u n1_i))
(fma.f32 u n1_i (/.f32 n0_i u))
(+.f32 (/.f32 n0_i u) (+.f32 (.f32 n1_i u) (.f32 -1 (/.f32 n0_i (pow.f32 u 2)))))
(+.f32 (/.f32 n0_i u) (fma.f32 n1_i u (neg.f32 (/.f32 n0_i (*.f32 u u)))))
(-.f32 (fma.f32 u n1_i (/.f32 n0_i u)) (/.f32 n0_i (*.f32 u u)))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (/.f32 n0_i u) (+.f32 (.f32 n1_i u) (.f32 -1 (/.f32 n0_i (pow.f32 u 2))))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (/.f32 n0_i u) (fma.f32 n1_i u (neg.f32 (/.f32 n0_i (*.f32 u u))))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (-.f32 (fma.f32 u n1_i (/.f32 n0_i u)) (/.f32 n0_i (*.f32 u u))))
(fma.f32 (+.f32 1 (/.f32 -1 u)) (/.f32 n0_i u) (fma.f32 u n1_i (/.f32 n0_i (pow.f32 u 3))))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))
(/.f32 n0_i (+.f32 1 u))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))
(/.f32 n0_i (+.f32 1 u))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))
(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (+.f32 1 u)))
(fma.f32 u n1_i (/.f32 n0_i (+.f32 1 u)))

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 n1_i normAngle)
✓	0.0b	(+.f32 n0_i (/.f32 (.f32 u (.f32 n1_i normAngle)) (sin.f32 normAngle)))
	0.1b	(.f32 u (.f32 n1_i normAngle))
✓	10.9b	(/.f32 (.f32 u (.f32 n1_i normAngle)) (sin.f32 normAngle))

Compiler

Compiled 36 to 9 computations (75% saved)

series11.0ms (0.1%)

Counts

3 → 84

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	n0_i	@	-inf	(+.f32 n0_i (/.f32 (.f32 u (.f32 n1_i normAngle)) (sin.f32 normAngle)))
0.0ms	n1_i	@	inf	(*.f32 n1_i normAngle)
0.0ms	n1_i	@	-inf	(*.f32 n1_i normAngle)
0.0ms	normAngle	@	inf	(*.f32 n1_i normAngle)
0.0ms	normAngle	@	-inf	(*.f32 n1_i normAngle)

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`prod-diff_binary32`
640×	`log-prod_binary32`
303×	`pow2_binary32`
240×	`fma-def_binary32`
213×	`pow1/3_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	216	31
2	3183	29

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

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

Outputs

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

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

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

670×	`fma-neg_binary32`
442×	`fma-def_binary32`
356×	`associate--r+_binary32`
323×	`associate--l+_binary32`
318×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	1203
1	158	1185
2	581	1094
3	2736	1080

Stop Event

1×	node limit

Counts

227 → 163

Calls

Call 1

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

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

localize154.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n1_i))) (pow.f32 normAngle 2))
✓	0.3b	(-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n1_i)))
✓	0.3b	(*.f32 -1/6 n0_i)
✓	0.3b	(*.f32 -1/6 n1_i)

Compiler

Compiled 125 to 80 computations (36% saved)

series12.0ms (0.1%)

Counts

4 → 48

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	normAngle	@	0	(.f32 (-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n1_i))) (pow.f32 normAngle 2))
1.0ms	normAngle	@	inf	(.f32 (-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n1_i))) (pow.f32 normAngle 2))
1.0ms	n0_i	@	0	(.f32 (-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n1_i))) (pow.f32 normAngle 2))
1.0ms	n0_i	@	0	(-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n1_i)))
1.0ms	n0_i	@	inf	(-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (*.f32 -1/6 n1_i)))

rewrite164.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`log-prod_binary32`
705×	`fma-def_binary32`
317×	`fma-neg_binary32`
267×	`expm1-udef_binary32`
267×	`log1p-udef_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	309	34
2	4090	30

Stop Event

1×	node limit

Counts

4 → 202

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 -1/6 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 -1/6) n1_i)) (cbrt.f32 (pow.f32 (exp.f32 -1/6) n1_i)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 -1/6) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 -1/6) n1_i))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 -1/6) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 -1/6 n1_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 -1/6 n1_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 -1/6 n1_i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 -1/6 n1_i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 -1/216 (pow.f32 n1_i 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 -1/6 n1_i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 -1/6) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 -1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 -1/216 (pow.f32 n1_i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 -1/6 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 -1/6 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 -1/6 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (*.f32 -1/6 n1_i)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 -1/6 n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 n0_i) -1/6)) (cbrt.f32 (pow.f32 (exp.f32 n0_i) -1/6)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 n0_i) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 n0_i) -1/6))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 n0_i) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 -1/6 n0_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 -1/6 n0_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 -1/6 n0_i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 -1/6 n0_i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 n0_i 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (.f32 n0_i n0_i) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 n0_i) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 -1/6 n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 n0_i 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 -1/6 n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 -1/6 n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 -1/6 n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 -1/6 n0_i)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 n0_i) (neg.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 n0_i) (.f32 (neg.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) (fma.f32 (neg.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) 1 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) (fma.f32 (neg.f32 (cbrt.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)))) (pow.f32 (cbrt.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) 2) (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) (+.f32 (neg.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) (.f32 -1/6 n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n0_i 1/3) (neg.f32 (.f32 -1/6 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n0_i 1/3) (.f32 1/6 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n0_i 1/3) (.f32 (neg.f32 n1_i) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n0_i 1/3) (.f32 -1 (.f32 -1/6 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n0_i 1/3) (.f32 (neg.f32 (cbrt.f32 (pow.f32 (.f32 -1/6 n1_i) 2))) (cbrt.f32 (.f32 -1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n0_i 1/3) (.f32 (neg.f32 (sqrt.f32 (.f32 -1/6 n1_i))) (sqrt.f32 (.f32 -1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)))) (cbrt.f32 (exp.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)))))) (log.f32 (cbrt.f32 (exp.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i))))) (log.f32 (sqrt.f32 (exp.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i))) (cbrt.f32 (pow.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) 2)) (cbrt.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i))) (sqrt.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (.f32 (pow.f32 n0_i 3) -1/216) (pow.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)) 3)) (/.f32 1 (fma.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)) (fma.f32 -1/6 n0_i (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) (.f32 (.f32 n0_i n0_i) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (.f32 (.f32 n0_i n0_i) 1/36) (pow.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)) 2)) (/.f32 1 (fma.f32 -1/6 n0_i (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (sqrt.f32 (.f32 -1/6 n0_i)) (sqrt.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)))) (-.f32 (sqrt.f32 (.f32 -1/6 n0_i)) (sqrt.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)) (fma.f32 -1/6 n0_i (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) (.f32 (.f32 n0_i n0_i) 1/36)) (-.f32 (.f32 (pow.f32 n0_i 3) -1/216) (pow.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 -1/6 n0_i (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) (-.f32 (.f32 (.f32 n0_i n0_i) 1/36) (pow.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (pow.f32 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(fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)))) (fma.f32 (neg.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) 1 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (sqrt.f32 (.f32 -1/6 n0_i)) (sqrt.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)))) (-.f32 (sqrt.f32 (.f32 -1/6 n0_i)) (sqrt.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)))) (fma.f32 (neg.f32 (cbrt.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)))) (pow.f32 (cbrt.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) 2) (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (sqrt.f32 (.f32 -1/6 n0_i)) (sqrt.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)))) (-.f32 (sqrt.f32 (.f32 -1/6 n0_i)) (sqrt.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)))) (+.f32 (neg.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) 2)) (cbrt.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) (.f32 -1/6 n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 -1/6 (pow.f32 (cbrt.f32 n0_i) 2)) (cbrt.f32 n0_i) (neg.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 -1/6 (pow.f32 (cbrt.f32 n0_i) 2)) (cbrt.f32 n0_i) (.f32 (neg.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 -1/6 (sqrt.f32 n0_i)) (sqrt.f32 n0_i) (neg.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 -1/6 (sqrt.f32 n0_i)) (sqrt.f32 n0_i) (.f32 (neg.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) (.f32 normAngle normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 -1/6 n0_i) (.f32 normAngle normAngle)) (.f32 (neg.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) (.f32 normAngle normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 normAngle normAngle) (.f32 -1/6 n0_i)) (.f32 (.f32 normAngle normAngle) (neg.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)))) (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)))))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) (fma.f32 n0_i 1/3 (.f32 1/6 n1_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) (fma.f32 n0_i 1/3 (.f32 1/6 n1_i))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) (fma.f32 n0_i 1/3 (.f32 1/6 n1_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) (.f32 normAngle normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (.f32 (pow.f32 n0_i 3) -1/216) (pow.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)) 3)) (.f32 normAngle normAngle)) (fma.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)) (fma.f32 -1/6 n0_i (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) (.f32 (.f32 n0_i n0_i) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (.f32 (.f32 n0_i n0_i) 1/36) (pow.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)) 2)) (.f32 normAngle normAngle)) (fma.f32 -1/6 n0_i (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (pow.f32 n0_i 3) -1/216) (pow.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)) 3))) (fma.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)) (fma.f32 -1/6 n0_i (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) (.f32 (.f32 n0_i n0_i) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (.f32 n0_i n0_i) 1/36) (pow.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i)) 2))) (fma.f32 -1/6 n0_i (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) (.f32 normAngle normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) (.f32 normAngle normAngle)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) (.f32 normAngle normAngle))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 normAngle (sqrt.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (pow.f32 normAngle 4) (pow.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 normAngle) normAngle) (fma.f32 n0_i 1/3 (.f32 1/6 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) (.f32 normAngle normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) (.f32 normAngle normAngle)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) 3) (pow.f32 (.f32 normAngle normAngle) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 normAngle normAngle) 3) (pow.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) (.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) (.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) (.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (fma.f32 n0_i 1/3 (.f32 1/6 n1_i)) (.f32 normAngle normAngle))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 -1/6 n0_i) (.f32 normAngle normAngle) (.f32 (neg.f32 (fma.f32 n0_i -1/2 (.f32 -1/6 n1_i))) (.f32 normAngle normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 normAngle normAngle) (.f32 -1/6 n0_i) (.f32 (.f32 normAngle normAngle) (neg.f32 (fma.f32 n0_i -1/2 (*.f32 -1/6 n1_i)))))))))

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-def_binary32`
487×	`fma-neg_binary32`
466×	`neg-mul-1_binary32`
353×	`distribute-rgt-neg-in_binary32`
347×	`unsub-neg_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	588
1	62	480
2	139	480
3	359	480
4	1180	480
5	2822	480
6	4927	480
7	7776	480

Stop Event

1×	node limit

Counts

250 → 216

Calls

Call 1

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

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

eval573.0ms (3.9%)

Compiler: Compiled 20792 to 8759 computations (57.9% saved)

prune345.0ms (2.3%)

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	895	9	904
Fresh	5	13	18
Picked	1	0	1
Done	2	7	9
Total	903	29	932

Error

Counts

932 → 29

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
	14.8b	(*.f32 (-.f32 1 u) n0_i)
	14.8b	(-.f32 n0_i (*.f32 n0_i u))
	7.7b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	5.6b	(+.f32 (.f32 u (+.f32 n1_i (.f32 (.f32 normAngle normAngle) (.f32 n1_i 1/6)))) n0_i)
	5.4b	(+.f32 (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
	3.3b	(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
	0.9b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	5.8b	(fma.f32 u n1_i n0_i)
	5.8b	(+.f32 (*.f32 n1_i u) n0_i)
	2.9b	(+.f32 (*.f32 n1_i u) (/.f32 n0_i (+.f32 1 u)))
	17.5b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
	6.2b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) n1_i))
	0.7b	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
	7.1b	(/.f32 (fma.f32 (-.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle (cos.f32 normAngle)))) n0_i (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
✓	20.9b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	9.0b	(+.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 u (*.f32 n1_i normAngle))))
	0.4b	(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 (.f32 1/6 n1_i) (*.f32 normAngle normAngle))) n0_i))
	6.0b	(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
✓	19.0b	(*.f32 u (-.f32 n1_i n0_i))
	0.7b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
✓	0.8b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	18.4b	n0_i
	0.7b	(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 n0_i (.f32 1/3 (*.f32 normAngle normAngle)))) n0_i))
✓	18.4b	(*.f32 u n1_i)
	20.9b	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
	0.4b	(+.f32 (.f32 u (.f32 normAngle (-.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 (-.f32 (.f32 1/3 n0_i) (*.f32 -1/6 n1_i)) normAngle)) (/.f32 n0_i normAngle)))) n0_i)
✓	0.2b	(+.f32 (.f32 u (.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) n0_i)
✓	9.0b	(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))

Compiler

Compiled 424 to 278 computations (34.4% saved)

regimes201.0ms (1.4%)

Counts

59 → 1

Calls

Call 1

Inputs
n0_i
n0_i
n0_i
(*.f32 u n1_i)
(-.f32 n0_i (*.f32 n0_i u))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(*.f32 u (-.f32 n1_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 u) (/.f32 n0_i (+.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 1 n0_i) (+.f32 1 u)))
(+.f32 (.f32 u (+.f32 n1_i (.f32 (.f32 normAngle normAngle) (.f32 n1_i 1/6)))) n0_i)
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 (.f32 1/6 n1_i) (*.f32 normAngle normAngle))) n0_i))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 n0_i (.f32 1/3 (*.f32 normAngle normAngle)))) n0_i))
(+.f32 (.f32 u (.f32 normAngle (-.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 (-.f32 (.f32 1/3 n0_i) (*.f32 -1/6 n1_i)) normAngle)) (/.f32 n0_i normAngle)))) n0_i)
(fma.f32 u n1_i n0_i)
(fma.f32 u n1_i n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (/.f32 (.f32 u (.f32 n1_i normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 n0_i (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 u (*.f32 n1_i normAngle))))
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_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) (sin.f32 normAngle))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(+.f32 n0_i (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) n1_i))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 (-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n1_i))) (pow.f32 normAngle 2))) n0_i))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) n0_i) n0_i)
(+.f32 n0_i (/.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 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(fma.f32 u (-.f32 (*.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 n1_i (/.f32 1 normAngle))) n0_i) n0_i)
(+.f32 (.f32 u (.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) n0_i)
(+.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 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 u (*.f32 n1_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 n0_i (.f32 (pow.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))) 2) n1_i))
(/.f32 (fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))) (sin.f32 normAngle))
(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) (.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) normAngle)) n0_i)
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(/.f32 (fma.f32 (-.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle (cos.f32 normAngle)))) n0_i (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) 2) n1_i))

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

Calls

5 calls:

46.0ms	n1_i
35.0ms	(+.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))
34.0ms	n0_i
30.0ms	u
29.0ms	normAngle

Results

Error	Segments	Branch
0.2b	1	`normAngle`
0.2b	1	`u`
0.2b	1	`n0_i`
0.2b	1	`n1_i`
0.2b	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 736 to 286 computations (61.1% saved)

regimes127.0ms (0.9%)

Counts

55 → 1

Calls

Call 1

Inputs
n0_i
n0_i
n0_i
(*.f32 u n1_i)
(-.f32 n0_i (*.f32 n0_i u))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(*.f32 u (-.f32 n1_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 u) (/.f32 n0_i (+.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 1 n0_i) (+.f32 1 u)))
(+.f32 (.f32 u (+.f32 n1_i (.f32 (.f32 normAngle normAngle) (.f32 n1_i 1/6)))) n0_i)
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 (.f32 1/6 n1_i) (*.f32 normAngle normAngle))) n0_i))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 n0_i (.f32 1/3 (*.f32 normAngle normAngle)))) n0_i))
(+.f32 (.f32 u (.f32 normAngle (-.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 (-.f32 (.f32 1/3 n0_i) (*.f32 -1/6 n1_i)) normAngle)) (/.f32 n0_i normAngle)))) n0_i)
(fma.f32 u n1_i n0_i)
(fma.f32 u n1_i n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (/.f32 (.f32 u (.f32 n1_i normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 n0_i (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 u (*.f32 n1_i normAngle))))
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_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) (sin.f32 normAngle))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(+.f32 n0_i (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) n1_i))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 (-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n1_i))) (pow.f32 normAngle 2))) n0_i))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) n0_i) n0_i)
(+.f32 n0_i (/.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 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(fma.f32 u (-.f32 (*.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 n1_i (/.f32 1 normAngle))) n0_i) n0_i)
(+.f32 (.f32 u (.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))) n0_i)
(+.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 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 u (*.f32 n1_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 n0_i (.f32 (pow.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))) 2) n1_i))
(/.f32 (fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))) (sin.f32 normAngle))
(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

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

Calls

4 calls:

30.0ms	n1_i
28.0ms	normAngle
27.0ms	n0_i
26.0ms	u

Results

Error	Segments	Branch
0.2b	1	`normAngle`
0.2b	1	`u`
0.2b	1	`n0_i`
0.2b	1	`n1_i`

Compiler

Compiled 617 to 231 computations (62.6% saved)

regimes97.0ms (0.7%)

Counts

41 → 1

Calls

Call 1

Inputs
n0_i
n0_i
n0_i
(*.f32 u n1_i)
(-.f32 n0_i (*.f32 n0_i u))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(*.f32 u (-.f32 n1_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 u) (/.f32 n0_i (+.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 1 n0_i) (+.f32 1 u)))
(+.f32 (.f32 u (+.f32 n1_i (.f32 (.f32 normAngle normAngle) (.f32 n1_i 1/6)))) n0_i)
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 (.f32 1/6 n1_i) (*.f32 normAngle normAngle))) n0_i))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 n0_i (.f32 1/3 (*.f32 normAngle normAngle)))) n0_i))
(+.f32 (.f32 u (.f32 normAngle (-.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 (-.f32 (.f32 1/3 n0_i) (*.f32 -1/6 n1_i)) normAngle)) (/.f32 n0_i normAngle)))) n0_i)
(fma.f32 u n1_i n0_i)
(fma.f32 u n1_i n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (/.f32 (.f32 u (.f32 n1_i normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 n0_i (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 u (*.f32 n1_i normAngle))))
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_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) (sin.f32 normAngle))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(+.f32 n0_i (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) n1_i))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 (-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n1_i))) (pow.f32 normAngle 2))) n0_i))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i)
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))

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

Calls

4 calls:

28.0ms	normAngle
20.0ms	n1_i
20.0ms	u
19.0ms	n0_i

Results

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

Compiler

Compiled 410 to 164 computations (60% saved)

regimes111.0ms (0.7%)

Counts

37 → 1

Calls

Call 1

Inputs
n0_i
n0_i
n0_i
(*.f32 u n1_i)
(-.f32 n0_i (*.f32 n0_i u))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(*.f32 u (-.f32 n1_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 u) (/.f32 n0_i (+.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 1 n0_i) (+.f32 1 u)))
(+.f32 (.f32 u (+.f32 n1_i (.f32 (.f32 normAngle normAngle) (.f32 n1_i 1/6)))) n0_i)
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 (.f32 1/6 n1_i) (*.f32 normAngle normAngle))) n0_i))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 n0_i (.f32 1/3 (*.f32 normAngle normAngle)))) n0_i))
(+.f32 (.f32 u (.f32 normAngle (-.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 (-.f32 (.f32 1/3 n0_i) (*.f32 -1/6 n1_i)) normAngle)) (/.f32 n0_i normAngle)))) n0_i)
(fma.f32 u n1_i n0_i)
(fma.f32 u n1_i n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (/.f32 (.f32 u (.f32 n1_i normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 n0_i (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 u (*.f32 n1_i normAngle))))
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_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) (sin.f32 normAngle))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(+.f32 n0_i (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) n1_i))

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

Calls

4 calls:

47.0ms	normAngle
19.0ms	n1_i
19.0ms	n0_i
17.0ms	u

Results

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

Compiler

Compiled 358 to 147 computations (58.9% saved)

regimes89.0ms (0.6%)

Counts

16 → 1

Calls

Call 1

Inputs
n0_i
n0_i
n0_i
(*.f32 u n1_i)
(-.f32 n0_i (*.f32 n0_i u))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(*.f32 u (-.f32 n1_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 u) (/.f32 n0_i (+.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 1 n0_i) (+.f32 1 u)))
(+.f32 (.f32 u (+.f32 n1_i (.f32 (.f32 normAngle normAngle) (.f32 n1_i 1/6)))) n0_i)
(+.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:

47.0ms	n0_i
9.0ms	n1_i
9.0ms	normAngle
9.0ms	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 128 to 61 computations (52.3% saved)

regimes96.0ms (0.7%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

4 calls:

53.0ms	n1_i
24.0ms	normAngle
12.0ms	n0_i
5.0ms	u

Results

Error	Segments	Branch
5.8b	1	`normAngle`
5.8b	1	`u`
4.8b	2	`n0_i`
4.2b	3	`n1_i`

Compiler

Compiled 50 to 30 computations (40% saved)

bsearch1.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	2.9403436556799856e-23	2.80771777283046e-22
0.0ms	-6.680665174792862e-26	-1.2869402081693744e-26

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes49.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	u
14.0ms	n1_i
14.0ms	n0_i
5.0ms	normAngle

Results

Error	Segments	Branch
14.8b	1	`normAngle`
13.1b	3	`u`
8.8b	3	`n0_i`
9.8b	3	`n1_i`

Compiler

Compiled 40 to 26 computations (35% saved)

bsearch1.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	5.69193307994714e-29	9.093364899271832e-29
0.0ms	-8.657518377212222e-19	-7.611451815904827e-19

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes68.0ms (0.5%)

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:

32.0ms	n0_i
12.0ms	u
12.0ms	normAngle
10.0ms	n1_i

Results

Error	Segments	Branch
17.2b	2	`normAngle`
15.1b	2	`u`
11.9b	3	`n0_i`
12.7b	3	`n1_i`

Compiler

Compiled 30 to 21 computations (30% saved)

bsearch1.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	3.440980875341097e-19	6.085089552760992e-19
0.0ms	-8.657518377212222e-19	-7.611451815904827e-19

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes22.0ms (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:

7.0ms	u
7.0ms	normAngle
3.0ms	n1_i
3.0ms	n0_i

Results

Error	Segments	Branch
18.4b	1	`normAngle`
18.4b	1	`u`
18.4b	1	`n0_i`
18.4b	1	`n1_i`

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

31×	`*-commutative_binary32`
27×	`+-commutative_binary32`
20×	`sub-neg_binary32`
17×	`neg-sub0_binary32`
17×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	199
1	95	199
2	128	199
3	167	199
4	190	199
5	214	199
6	230	199
7	235	199
8	237	199

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) (.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) normAngle)) n0_i)
(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) n0_i) n0_i)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 (-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n1_i))) (pow.f32 normAngle 2))) n0_i))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 (.f32 1/6 n1_i) (*.f32 normAngle normAngle))) n0_i))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(if (<=.f32 n1_i -2028241/40564819207303340847894502572032) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 15845633/158456325028528675187087900672) (-.f32 n0_i (.f32 n0_i u)) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n0_i -7737125/9671406556917033397649408) (-.f32 n0_i (.f32 n0_i u)) (if (<=.f32 n0_i 4984605/83076749736557242056487941267521536) (.f32 u n1_i) (-.f32 n0_i (*.f32 n0_i u))))
(if (<=.f32 n0_i -7737125/9671406556917033397649408) n0_i (if (<=.f32 n0_i 9671407/19342813113834066795298816) (*.f32 u n1_i) n0_i))
n0_i

Outputs
(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) (.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) normAngle)) n0_i)
(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) (.f32 normAngle (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))) n0_i)
(fma.f32 u (-.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) n0_i) n0_i)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 (-.f32 (.f32 -1/6 n0_i) (+.f32 (.f32 -1/2 n0_i) (.f32 -1/6 n1_i))) (pow.f32 normAngle 2))) n0_i))
(+.f32 (.f32 u (-.f32 n1_i n0_i)) (+.f32 n0_i (.f32 u (.f32 (-.f32 (.f32 n0_i -1/6) (+.f32 (.f32 n0_i -1/2) (.f32 n1_i -1/6))) (pow.f32 normAngle 2)))))
(+.f32 (.f32 u (-.f32 n1_i n0_i)) (+.f32 n0_i (.f32 u (.f32 (+.f32 (.f32 n0_i -1/6) (+.f32 (.f32 n0_i 1/2) (.f32 n1_i 1/6))) (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 u (.f32 (.f32 1/6 n1_i) (*.f32 normAngle normAngle))) n0_i))
(+.f32 (.f32 u (-.f32 n1_i n0_i)) (+.f32 n0_i (.f32 u (.f32 (.f32 n1_i 1/6) (*.f32 normAngle normAngle)))))
(+.f32 (.f32 u (-.f32 n1_i n0_i)) (+.f32 n0_i (.f32 u (.f32 (.f32 normAngle normAngle) (*.f32 n1_i 1/6)))))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n1_i -2028241/40564819207303340847894502572032) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 15845633/158456325028528675187087900672) (-.f32 n0_i (.f32 n0_i u)) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -2028241/40564819207303340847894502572032) (+.f32 n0_i (.f32 u n1_i)) (if (<=.f32 n1_i 15845633/158456325028528675187087900672) (-.f32 n0_i (.f32 u n0_i)) (+.f32 n0_i (*.f32 u n1_i))))
(if (<=.f32 n0_i -7737125/9671406556917033397649408) (-.f32 n0_i (.f32 n0_i u)) (if (<=.f32 n0_i 4984605/83076749736557242056487941267521536) (.f32 u n1_i) (-.f32 n0_i (*.f32 n0_i u))))
(if (<=.f32 n0_i -7737125/9671406556917033397649408) (-.f32 n0_i (.f32 u n0_i)) (if (<=.f32 n0_i 4984605/83076749736557242056487941267521536) (.f32 u n1_i) (-.f32 n0_i (*.f32 u n0_i))))
(if (<=.f32 n0_i -7737125/9671406556917033397649408) n0_i (if (<=.f32 n0_i 9671407/19342813113834066795298816) (*.f32 u n1_i) n0_i))
n0_i

Compiler

Compiled 173 to 104 computations (39.9% saved)

soundness572.0ms (3.9%)

Algorithm

2×	egg-herbie

Rules

1069×	`fma-neg_binary32`
849×	`fma-neg_binary32`
738×	`div-sub_binary32`
717×	`fma-def_binary32`
594×	`times-frac_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	38	31
2	88	31
3	177	26
4	266	26
5	317	26
6	387	26
7	491	26
8	753	26
9	889	26
10	1093	26
11	1790	26
12	4011	26
13	5871	26
14	6509	26
15	7205	26
16	7860	26
0	181	3466
1	574	3380
2	2135	3344
3	6919	3344

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 676 to 433 computations (35.9% saved)

end105.0ms (0.7%)

Compiler: Compiled 141 to 61 computations (56.7% saved)

Iter	Nodes	Cost
0	11	240
1	22	240
2	43	240
3	62	240
4	92	240
5	158	240
6	287	240
7	418	240
8	599	240
9	737	240
10	749	240

Iter	Nodes	Cost
0	61	199
1	95	199
2	128	199
3	167	199
4	190	199
5	214	199
6	230	199
7	235	199
8	237	199

Iter	Nodes	Cost
0	11	240
1	22	240
2	43	240
3	62	240
4	92	240
5	158	240
6	287	240
7	418	240
8	599	240
9	737	240
10	749	240

Iter	Nodes	Cost
0	61	199
1	95	199
2	128	199
3	167	199
4	190	199
5	214	199
6	230	199
7	235	199
8	237	199

Iter	Nodes	Cost
0	11	240
1	22	240
2	43	240
3	62	240
4	92	240
5	158	240
6	287	240
7	418	240
8	599	240
9	737	240
10	749	240

Iter	Nodes	Cost
0	61	199
1	95	199
2	128	199
3	167	199
4	190	199
5	214	199
6	230	199
7	235	199
8	237	199