Details

analyze782.0ms (5.3%)

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)

sample4.9s (33.3%)

Results

4.0s	8256×	body	256	valid
867.0ms	1979×	body	256	invalid

preprocess128.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify108.0ms (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
▶	0.9b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
▶	8.6b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

Status

Error

Program

▶

0.9b

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

▶

8.6b

(/.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 50 to 32 computations (36% saved)

localize232.0ms (1.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 105 to 54 computations (48.6% saved)

series25.0ms (0.2%)

Counts

4 → 96

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	n0_i	@	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
2.0ms	u	@	-inf	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
2.0ms	u	@	0	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
1.0ms	u	@	0	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))
1.0ms	normAngle	@	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)

rewrite82.0ms (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)))))))

simplify139.0ms (0.9%)

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))

localize90.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.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)
✓	8.5b	(/.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)

series42.0ms (0.3%)

Counts

4 → 128

Calls

39 calls:

Time	Variable		Expression
7.0ms	u	@	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
5.0ms	normAngle	@	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
2.0ms	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))
2.0ms	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))
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))

rewrite124.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

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

simplify213.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

325 → 257

Calls

Call 1

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

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

eval302.0ms (2%)

Compiler: Compiled 12791 to 5268 computations (58.8% saved)

prune132.0ms (0.9%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	402	22	424
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	404	22	426

Error

Counts

426 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	6.1b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	19.3b	(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
	16.5b	(+.f32 (pow.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))) 2) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	9.2b	(/.f32 (.f32 (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))) normAngle) (sin.f32 normAngle))
▶	0.4b	(+.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)))
	9.3b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
▶	0.7b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	1.0b	(+.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	0.9b	(+.f32 (.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))) 1) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	0.9b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
▶	0.5b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 -1/6 (.f32 normAngle normAngle)) (-.f32 (pow.f32 u 3) u) u) n1_i))
	0.8b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
	17.8b	n0_i
	8.6b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
▶	8.7b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 u (*.f32 n1_i normAngle))) (sin.f32 normAngle))
	1.1b	(+.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (cbrt.f32 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
▶	17.7b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
	22.1b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	8.6b	(.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)))
	0.7b	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
	4.2b	(+.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))))))
	8.6b	(/.f32 (fma.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

Compiler

Compiled 955 to 638 computations (33.2% saved)

localize182.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))
✓	0.4b	(.f32 -1/6 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
✓	0.5b	(pow.f32 (-.f32 1 u) 3)
✓	7.3b	(-.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))))

Compiler

Compiled 204 to 136 computations (33.3% saved)

series72.0ms (0.5%)

Counts

4 → 96

Calls

27 calls:

Time	Variable		Point	Expression
43.0ms	u	@	0	(.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))
9.0ms	n0_i	@	-inf	(-.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))))
5.0ms	n1_i	@	0	(-.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))))
1.0ms	n0_i	@	0	(-.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))))
1.0ms	u	@	0	(-.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))))

rewrite122.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`fma-neg_binary32`
394×	`expm1-udef_binary32`
393×	`log1p-udef_binary32`
231×	`add-sqr-sqrt_binary32`
225×	`pow1_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	72
1	465	67
2	6602	67

Stop Event

1×	node limit

Counts

4 → 123

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 u 3) (.f32 -1/6 n1_i)) (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 u 3) (.f32 -1/6 n1_i)) (.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 -1/6 (.f32 n1_i (pow.f32 u 3)) (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (+.f32 (.f32 (pow.f32 u 3) (.f32 -1/6 n1_i)) (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) (fma.f32 (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6) 1 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) (fma.f32 1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))) (pow.f32 (cbrt.f32 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) 2) (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6) (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) (.f32 (pow.f32 u 3) (.f32 -1/6 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))) (pow.f32 (cbrt.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))) 2) (cbrt.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))) (sqrt.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (.f32 -1/216 (pow.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) 3)) (.f32 (pow.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 3) -1/216)) (/.f32 1 (+.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (.f32 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))) (.f32 -1/6 (+.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (.f32 (pow.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 2) 1/36)) (/.f32 1 (.f32 -1/6 (+.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (sqrt.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)))) (sqrt.f32 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))) (-.f32 (sqrt.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)))) (sqrt.f32 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (.f32 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))) (.f32 -1/6 (+.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))))) (-.f32 (.f32 -1/216 (pow.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) 3)) (.f32 (pow.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 3) -1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (.f32 -1/6 (+.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) (-.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (.f32 (pow.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 2) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 -1/216 (pow.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) 3)) (.f32 (pow.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 3) -1/216)) (+.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (.f32 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))) (.f32 -1/6 (+.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (.f32 (pow.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 2) 1/36)) (.f32 -1/6 (+.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (.f32 -1/216 (pow.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) 3)) (.f32 (pow.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 3) -1/216))) (neg.f32 (+.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (.f32 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))) (.f32 -1/6 (+.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (.f32 (pow.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 2) 1/36))) (neg.f32 (.f32 -1/6 (+.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 (pow.f32 u 3) (.f32 -1/6 n1_i)) 3) (pow.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) 3)) (+.f32 (.f32 1/36 (.f32 (pow.f32 u 6) (.f32 n1_i n1_i))) (-.f32 (.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))) (.f32 (.f32 (pow.f32 u 3) (.f32 -1/6 n1_i)) (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 -1/216 (pow.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) 3)) (pow.f32 (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6) 3)) (+.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (-.f32 (.f32 (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6) (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6)) (.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6)))))))) 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simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

880×	`fma-def_binary32`
410×	`distribute-rgt-out_binary32`
406×	`associate-l_binary32`
326×	`associate-r_binary32`
322×	`distribute-lft-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	2069
1	364	1871
2	1174	1672
3	4556	1625

Stop Event

1×	node limit

Counts

219 → 187

Calls

Call 1

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

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

localize29.0ms (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))
✓	0.1b	(*.f32 (-.f32 1 u) n0_i)

Compiler

Compiled 28 to 15 computations (46.4% saved)

series4.0ms (0%)

Counts

2 → 30

Calls

15 calls:

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

rewrite75.0ms (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 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (*.f32 u n1_i) 3) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 3)) (/.f32 1 (fma.f32 (*.f32 (-.f32 1 u) n0_i) (-.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) (pow.f32 (*.f32 u n1_i) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (pow.f32 (*.f32 u n1_i) 2) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2)) (/.f32 1 (-.f32 (*.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 (*.f32 (-.f32 1 u) n0_i) (-.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) (pow.f32 (*.f32 u n1_i) 2)) (+.f32 (pow.f32 (*.f32 u n1_i) 3) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (*.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) (-.f32 (pow.f32 (*.f32 u n1_i) 2) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 u n1_i) 3) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 3)) (fma.f32 (*.f32 (-.f32 1 u) n0_i) (-.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) (pow.f32 (*.f32 u n1_i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 u n1_i) 3) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 3)) (+.f32 (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2) (-.f32 (pow.f32 (*.f32 u n1_i) 2) (*.f32 u (*.f32 n1_i (*.f32 (-.f32 1 u) n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (*.f32 u n1_i) 2) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2)) (-.f32 (*.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 u n1_i) 3) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 3))) (neg.f32 (fma.f32 (*.f32 (-.f32 1 u) n0_i) (-.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) (pow.f32 (*.f32 u n1_i) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 u n1_i) 2) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2))) (neg.f32 (-.f32 (*.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2) (pow.f32 (*.f32 u n1_i) 2)) (-.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 (*.f32 (-.f32 1 u) n0_i) (-.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) (pow.f32 (*.f32 u n1_i) 2)) (+.f32 (pow.f32 (*.f32 u n1_i) 3) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 (*.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) (-.f32 (pow.f32 (*.f32 u n1_i) 2) (pow.f32 (*.f32 (-.f32 1 u) n0_i) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)))) 2)) (cbrt.f32 (log.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))))) (sqrt.f32 (log.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 (-.f32 1 u) n0_i))) (pow.f32 (exp.f32 u) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (pow.f32 (exp.f32 (-.f32 1 u)) n0_i) (+.f32 1 (expm1.f32 (*.f32 u n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 (-.f32 1 u) n0_i))) (+.f32 1 (expm1.f32 (*.f32 u n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 u n1_i))) (pow.f32 (exp.f32 (-.f32 1 u)) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (pow.f32 (exp.f32 u) n1_i) (+.f32 1 (expm1.f32 (*.f32 (-.f32 1 u) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 u n1_i))) (+.f32 1 (expm1.f32 (*.f32 (-.f32 1 u) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (-.f32 1 u) n0_i (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 n0_i (-.f32 1 u) (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (-.f32 1 u) n0_i) 1 (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u n1_i) 1 (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 u n1_i)) (pow.f32 (cbrt.f32 (*.f32 u n1_i)) 2) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 u n1_i)) 2) (cbrt.f32 (*.f32 u n1_i)) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 n0_i) 2) (*.f32 (cbrt.f32 n0_i) (-.f32 1 u)) (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 (-.f32 1 u) n0_i)) (pow.f32 (cbrt.f32 (*.f32 (-.f32 1 u) n0_i)) 2) (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 (-.f32 1 u) n0_i)) 2) (cbrt.f32 (*.f32 (-.f32 1 u) n0_i)) (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u) 2) (*.f32 (cbrt.f32 u) n1_i) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 n1_i) 2) (*.f32 (cbrt.f32 n1_i) u) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (-.f32 1 u)) 2) (*.f32 (cbrt.f32 (-.f32 1 u)) n0_i) (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 u n1_i)) (sqrt.f32 (*.f32 u n1_i)) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 n0_i) (*.f32 (sqrt.f32 n0_i) (-.f32 1 u)) (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 (-.f32 1 u) n0_i)) (sqrt.f32 (*.f32 (-.f32 1 u) n0_i)) (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u) (*.f32 (sqrt.f32 u) n1_i) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 n1_i) (*.f32 (sqrt.f32 n1_i) u) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (-.f32 1 u)) (*.f32 (sqrt.f32 (-.f32 1 u)) n0_i) (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (pow.f32 (cbrt.f32 n1_i) 2)) (cbrt.f32 n1_i) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (sqrt.f32 n1_i)) (sqrt.f32 n1_i) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 n1_i (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 n1_i (sqrt.f32 u)) (sqrt.f32 u) (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (-.f32 1 u) (pow.f32 (cbrt.f32 n0_i) 2)) (cbrt.f32 n0_i) (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (-.f32 1 u) (sqrt.f32 n0_i)) (sqrt.f32 n0_i) (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 n0_i (pow.f32 (cbrt.f32 (-.f32 1 u)) 2)) (cbrt.f32 (-.f32 1 u)) (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 n0_i (sqrt.f32 (-.f32 1 u))) (sqrt.f32 (-.f32 1 u)) (*.f32 u n1_i))))))

simplify58.0ms (0.4%)

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))

localize199.0ms (1.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 10 computations (76.2% saved)

series14.0ms (0.1%)

Counts

3 → 24

Calls

24 calls:

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

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	224	33
2	3308	33

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

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

Outputs

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

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

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

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-def_binary32`
529×	`fma-neg_binary32`
454×	`distribute-rgt-neg-out_binary32`
445×	`cancel-sign-sub-inv_binary32`
405×	`distribute-lft-neg-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	876
1	360	814
2	1306	776
3	4401	774

Stop Event

1×	node limit

Counts

108 → 118

Calls

Call 1

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

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

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 u (.f32 n1_i normAngle))
✓	0.1b	(fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 u (*.f32 n1_i normAngle)))
	0.1b	(-.f32 normAngle (*.f32 u normAngle))
✓	8.5b	(/.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)

series15.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite131.0ms (0.9%)

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))

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

(*.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 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))) (sqrt.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 (neg.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 u n1_i))) 2)) 1) (/.f32 (cbrt.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 (/.f32 (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i)))) 1) (/.f32 (sqrt.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 (/.f32 1 (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 u n1_i))) 2)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))) 1))))))

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

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

simplify132.0ms (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 (+.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)))))
(.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))

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))))))))
(fma.f32 n1_i u (fma.f32 (fma.f32 1/120 (-.f32 (fma.f32 n0_i (pow.f32 (-.f32 1 u) 5) (.f32 (+.f32 u -1) n0_i)) (.f32 n1_i u)) (.f32 -1/36 (fma.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1)) (.f32 (neg.f32 u) n1_i)))) (pow.f32 normAngle 4) (fma.f32 (+.f32 (fma.f32 n0_i (.f32 -1/5040 (pow.f32 (-.f32 1 u) 7)) (fma.f32 1/720 (fma.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1)) (.f32 (neg.f32 u) n1_i)) (.f32 (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)) 1/5040))) (.f32 1/6 (fma.f32 1/120 (-.f32 (fma.f32 n0_i (pow.f32 (-.f32 1 u) 5) (.f32 (+.f32 u -1) n0_i)) (.f32 n1_i u)) (.f32 -1/36 (fma.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1)) (.f32 (neg.f32 u) n1_i)))))) (pow.f32 normAngle 6) (fma.f32 (.f32 -1/6 (fma.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1)) (.f32 (neg.f32 u) n1_i))) (.f32 normAngle normAngle) (*.f32 (-.f32 1 u) n0_i)))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(*.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)))
(+.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 (sin.f32 normAngle) (.f32 u normAngle))) (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (.f32 u normAngle))))))
(+.f32 (.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i))) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)) (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)) (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))))
(+.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 (sin.f32 normAngle) (.f32 u normAngle))) (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (.f32 u normAngle))))))
(+.f32 (.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i))) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)) (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)) (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))))
(+.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 (sin.f32 normAngle) (.f32 u normAngle))) (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (.f32 u normAngle))))))
(+.f32 (.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i))) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)) (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)) (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))))
(/.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)))
(+.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 n1_i (/.f32 (sin.f32 normAngle) (.f32 u normAngle))) (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (.f32 u normAngle))))))
(+.f32 (.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i))) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
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n0_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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(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 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
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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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(/.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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(fma.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)) (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)) (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))))
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(fma.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)) (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)) (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))))
(.f32 (+.f32 (.f32 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 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i (pow.f32 normAngle 3)))))
(fma.f32 (fma.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)))))
(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)))
(+.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))))))
(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 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i (pow.f32 normAngle 3))))))
(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))))
(fma.f32 (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)) normAngle (.f32 n0_i (+.f32 (.f32 (pow.f32 normAngle 3) (.f32 -1/6 (pow.f32 (-.f32 1 u) 3))) (.f32 (pow.f32 normAngle 5) (.f32 1/120 (pow.f32 (-.f32 1 u) 5))))))
(fma.f32 (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i)) normAngle (.f32 n0_i (+.f32 (.f32 (pow.f32 normAngle 5) (.f32 1/120 (pow.f32 (-.f32 1 u) 5))) (.f32 (pow.f32 normAngle 3) (.f32 -1/6 (pow.f32 (-.f32 1 u) 3))))))
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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 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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(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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(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (*.f32 u normAngle)))
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(.f32 n1_i (.f32 u normAngle))
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(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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(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)))
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(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))))))))
(fma.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 u (.f32 u (*.f32 normAngle normAngle)))) n0_i)))
(fma.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 normAngle (.f32 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 1/6 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))))))))
(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))) (fma.f32 u (fma.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (.f32 n1_i normAngle)) (.f32 1/6 (.f32 (.f32 (cos.f32 normAngle) n0_i) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))))))
(fma.f32 n0_i (sin.f32 normAngle) (fma.f32 -1/2 (.f32 n0_i (.f32 (sin.f32 normAngle) (.f32 u (.f32 u (.f32 normAngle normAngle))))) (fma.f32 u (-.f32 (.f32 n1_i normAngle) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (.f32 1/6 (.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (.f32 n0_i (cos.f32 normAngle)))))))
(+.f32 (fma.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 u (.f32 u (.f32 normAngle normAngle)))) n0_i))) (.f32 (cos.f32 normAngle) (.f32 1/6 (.f32 n0_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))))))
(+.f32 (fma.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 normAngle (.f32 normAngle (.f32 u u)))) n0_i))) (.f32 1/6 (.f32 n0_i (.f32 (pow.f32 normAngle 3) (*.f32 (cos.f32 normAngle) (pow.f32 u 3))))))
(.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)))
(.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 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))
(+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 n1_i (.f32 u normAngle) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (*.f32 u normAngle)))
(fma.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 n1_i (.f32 u normAngle) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (*.f32 u normAngle)))
(fma.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 n1_i (.f32 u normAngle) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (*.f32 u normAngle)))
(fma.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (.f32 n1_i (.f32 u normAngle)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))
(+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 n1_i (.f32 u normAngle) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (*.f32 u normAngle)))
(fma.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 n1_i (.f32 u normAngle) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (*.f32 u normAngle)))
(fma.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 n1_i (.f32 u normAngle) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (*.f32 u normAngle)))
(fma.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (.f32 n1_i (.f32 u normAngle)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))
(+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 n1_i (.f32 u normAngle) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (*.f32 u normAngle)))
(fma.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 n1_i (.f32 u normAngle) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (*.f32 u normAngle)))
(fma.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 n1_i (.f32 u normAngle) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (*.f32 u normAngle)))
(fma.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (.f32 n1_i (.f32 u normAngle)))
(.f32 n1_i (.f32 u normAngle))
(+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 n1_i (.f32 u normAngle) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (*.f32 u normAngle)))
(fma.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 n1_i (.f32 u normAngle) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (*.f32 u normAngle)))
(fma.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 n1_i (.f32 u normAngle) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (*.f32 u normAngle)))
(fma.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (.f32 n1_i (.f32 u normAngle)))
(.f32 n1_i (.f32 u normAngle))
(+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 n1_i (.f32 u normAngle) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (*.f32 u normAngle)))
(fma.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 n1_i (.f32 u normAngle) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (*.f32 u normAngle)))
(fma.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 n1_i (.f32 u normAngle) (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(fma.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n1_i (*.f32 u normAngle)))
(fma.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (.f32 n1_i (.f32 u normAngle)))
(.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))

localize159.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f32 (-.f32 1 u) normAngle)
	0.1b	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
✓	0.2b	(.f32 -1/6 (.f32 normAngle normAngle))
	0.4b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))

Compiler

Compiled 125 to 71 computations (43.2% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	normAngle	@	0	(.f32 -1/6 (.f32 normAngle normAngle))
1.0ms	normAngle	@	inf	(.f32 -1/6 (.f32 normAngle normAngle))
0.0ms	normAngle	@	-inf	(.f32 -1/6 (.f32 normAngle normAngle))

rewrite44.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary32`
422×	`add-sqr-sqrt_binary32`
411×	`*-un-lft-identity_binary32`
403×	`add-log-exp_binary32`
403×	`log1p-expm1-u_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1150	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f32 -1/6 (.f32 normAngle normAngle))

Outputs

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

simplify174.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary32`
617×	`cube-prod_binary32`
554×	`fabs-mul_binary32`
523×	`pow-sqr_binary32`
441×	`associate-l_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	331	84
6	1250	84
7	2123	84
8	2287	84
9	2471	84
10	2679	84
11	2976	84
12	3371	84
13	3852	84
14	4418	84
15	5102	84
16	5935	84
17	6327	84
18	6619	84
19	6895	84
20	6969	84
21	7003	84
22	7944	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

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

Outputs
(*.f32 -1/6 (pow.f32 normAngle 2))
(.f32 -1/6 (.f32 normAngle normAngle))
(.f32 normAngle (.f32 -1/6 normAngle))
(*.f32 -1/6 (pow.f32 normAngle 2))
(.f32 -1/6 (.f32 normAngle normAngle))
(.f32 normAngle (.f32 -1/6 normAngle))
(*.f32 -1/6 (pow.f32 normAngle 2))
(.f32 -1/6 (.f32 normAngle normAngle))
(.f32 normAngle (.f32 -1/6 normAngle))
(*.f32 -1/6 (pow.f32 normAngle 2))
(.f32 -1/6 (.f32 normAngle normAngle))
(.f32 normAngle (.f32 -1/6 normAngle))
(*.f32 -1/6 (pow.f32 normAngle 2))
(.f32 -1/6 (.f32 normAngle normAngle))
(.f32 normAngle (.f32 -1/6 normAngle))
(*.f32 -1/6 (pow.f32 normAngle 2))
(.f32 -1/6 (.f32 normAngle normAngle))
(.f32 normAngle (.f32 -1/6 normAngle))
(*.f32 -1/6 (pow.f32 normAngle 2))
(.f32 -1/6 (.f32 normAngle normAngle))
(.f32 normAngle (.f32 -1/6 normAngle))
(*.f32 -1/6 (pow.f32 normAngle 2))
(.f32 -1/6 (.f32 normAngle normAngle))
(.f32 normAngle (.f32 -1/6 normAngle))
(*.f32 -1/6 (pow.f32 normAngle 2))
(.f32 -1/6 (.f32 normAngle normAngle))
(.f32 normAngle (.f32 -1/6 normAngle))
(*.f32 -1/6 (pow.f32 normAngle 2))
(.f32 -1/6 (.f32 normAngle normAngle))
(.f32 normAngle (.f32 -1/6 normAngle))
(*.f32 -1/6 (pow.f32 normAngle 2))
(.f32 -1/6 (.f32 normAngle normAngle))
(.f32 normAngle (.f32 -1/6 normAngle))
(*.f32 -1/6 (pow.f32 normAngle 2))
(.f32 -1/6 (.f32 normAngle normAngle))
(.f32 normAngle (.f32 -1/6 normAngle))

eval747.0ms (5.1%)

Compiler: Compiled 27129 to 13945 computations (48.6% saved)

prune305.0ms (2.1%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	923	20	943
Fresh	11	6	17
Picked	1	0	1
Done	2	2	4
Total	937	28	965

Error

Counts

965 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(+.f32 (.f32 (.f32 u (+.f32 (.f32 -1/2 (.f32 u n0_i)) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
✓	17.7b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
	9.3b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	5.9b	(+.f32 (*.f32 n1_i u) n0_i)
	6.1b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	19.3b	(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
▶	8.6b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
	8.7b	(/.f32 (+.f32 (.f32 (sin.f32 normAngle) n0_i) (.f32 u (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle)))) (sin.f32 normAngle))
▶	0.4b	(+.f32 (.f32 (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	0.7b	(fma.f32 (-.f32 1 u) n0_i (*.f32 u n1_i))
	0.7b	(fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))
	9.2b	(/.f32 (.f32 (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))) normAngle) (sin.f32 normAngle))
✓	0.7b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	14.2b	(-.f32 n0_i (*.f32 u n0_i))
▶	0.6b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
	22.2b	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
	0.7b	(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
	17.8b	n0_i
▶	19.2b	(*.f32 u n1_i)
	5.7b	(+.f32 n0_i (.f32 (fma.f32 (.f32 -1/6 (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u 3) u) u) n1_i))
	14.2b	(*.f32 (-.f32 1 u) n0_i)
	8.6b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	0.9b	(fma.f32 (.f32 n1_i (sqrt.f32 u)) (sqrt.f32 u) (.f32 (-.f32 1 u) n0_i))
▶	0.4b	(+.f32 (.f32 (+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	19.0b	(*.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)))
	8.7b	(.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 normAngle (.f32 u n1_i))) (/.f32 1 (sin.f32 normAngle)))
	0.8b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
	8.6b	(/.f32 (fma.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

Compiler

Compiled 905 to 601 computations (33.6% saved)

localize151.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 n0_i (.f32 u (+.f32 1/2 (*.f32 u -1/2))))
✓	0.2b	(.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))
✓	0.3b	(+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))))
✓	0.4b	(*.f32 -1/6 (-.f32 (pow.f32 u 3) u))

Compiler

Compiled 171 to 106 computations (38% saved)

series17.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	u	@	inf	(+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))))
1.0ms	n0_i	@	0	(+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))))
1.0ms	n1_i	@	0	(+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))))
1.0ms	n0_i	@	inf	(+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))))
1.0ms	n0_i	@	-inf	(+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))))

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

423×	`fma-neg_binary32`
364×	`expm1-udef_binary32`
364×	`log1p-udef_binary32`
288×	`log-pow_binary32`
214×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	420	64
2	5907	64

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 u 3) -1/6) (.f32 (neg.f32 u) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (pow.f32 u 9) (pow.f32 u 3)) -1/6) (+.f32 (pow.f32 u 6) (fma.f32 u u (pow.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (pow.f32 u 6) (.f32 u u)) -1/6) (+.f32 u (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1/6 (-.f32 (pow.f32 u 9) (pow.f32 u 3))) (+.f32 (pow.f32 u 6) (fma.f32 u u (pow.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1/6 (-.f32 (pow.f32 u 6) (.f32 u u))) (+.f32 u (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (pow.f32 (-.f32 (pow.f32 u 3) u) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (-.f32 (pow.f32 u 3) u)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (-.f32 n1_i n0_i) (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) 2) (-.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))))) (/.f32 (pow.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) 2) (-.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (-.f32 n1_i n0_i) (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (-.f32 n1_i n0_i) (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (-.f32 n1_i n0_i) (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)))) (pow.f32 (cbrt.f32 (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (-.f32 n1_i n0_i) (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (-.f32 n1_i n0_i) (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)))) 2) (cbrt.f32 (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (-.f32 n1_i n0_i) (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (-.f32 n1_i n0_i) (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)))) (sqrt.f32 (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (-.f32 n1_i n0_i) (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) 3) (pow.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) 3)) (/.f32 1 (+.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) 2) (.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) (-.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) 2) (pow.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) 2)) (/.f32 1 (-.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) 2) (.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) (-.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i))))) (+.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) 3) (pow.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i)))) (-.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) 2) (pow.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) 3) (pow.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) 3)) (+.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) 2) (.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) (-.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) 3) (pow.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) 3)) (+.f32 (pow.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) 2) (-.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) 2) (.f32 (.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) (.f32 -1/6 (-.f32 n1_i n0_i))) (-.f32 (pow.f32 u 3) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) 2) (pow.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) 2)) (-.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) 3) (pow.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) 3))) (neg.f32 (+.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) 2) (.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) (-.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (-.f32 n1_i n0_i))) (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 (.f32 u (.f32 (fma.f32 u -1/2 1/2) n0_i)) 2) (pow.f32 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simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

586×	`unsub-neg_binary32`
339×	`associate-+l+_binary32`
339×	`distribute-rgt-neg-in_binary32`
334×	`fma-def_binary32`
303×	`distribute-neg-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	2219
1	190	2219
2	497	1769
3	1779	1765
4	5464	1765

Stop Event

1×	node limit

Counts

218 → 149

Calls

Call 1

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

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

localize8.0ms (0.1%)

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

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 6 computations (62.5% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

57 → 33

Calls

Call 1

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

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

localize113.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f32 (-.f32 1 u) n0_i)
✓	0.2b	(.f32 u (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3)))
✓	0.3b	(*.f32 n0_i 1/3)
✓	0.4b	(*.f32 n1_i 1/6)

Compiler

Compiled 93 to 58 computations (37.6% saved)

series9.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

526×	`log-prod_binary32`
395×	`exp-prod_binary32`
376×	`pow-prod-down_binary32`
351×	`fma-def_binary32`
279×	`pow2_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	217	19
2	2897	19

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 n0_i 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (exp.f32 n0_i))) 2)) (log.f32 (cbrt.f32 (cbrt.f32 (exp.f32 n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (cbrt.f32 (exp.f32 n0_i)))) (log.f32 (sqrt.f32 (cbrt.f32 (exp.f32 n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 n0_i 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 n0_i 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 n0_i n0_i) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 n0_i 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 n0_i 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 n0_i 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (*.f32 n0_i 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 n0_i 1/3))) 2)) (cbrt.f32 (log.f32 (*.f32 n0_i 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 n0_i 1/3)))) (sqrt.f32 (log.f32 (*.f32 n0_i 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 n0_i n0_i) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (cbrt.f32 (exp.f32 n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 n0_i 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 n0_i 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 n0_i 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 n0_i 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 n0_i 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 n0_i 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 n0_i 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 n0_i 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 n0_i 1/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 n0_i 1/3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 n0_i 1/3)) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 n1_i 1/6) u) (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 n0_i (*.f32 1/3 u)) (*.f32 (*.f32 n1_i 1/6) u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (*.f32 n1_i 1/6) u) 1) (*.f32 (*.f32 n0_i (*.f32 1/3 u)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u) (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u) (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u) (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u) (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 (*.f32 n1_i 1/6) u) 3) (pow.f32 (*.f32 n0_i (*.f32 1/3 u)) 3)) (+.f32 (pow.f32 (*.f32 (*.f32 n1_i 1/6) u) 2) (-.f32 (pow.f32 (*.f32 n0_i (*.f32 1/3 u)) 2) (*.f32 (*.f32 (*.f32 n1_i 1/6) u) (*.f32 n0_i (*.f32 1/3 u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (*.f32 (*.f32 n1_i 1/6) u) 2) (pow.f32 (*.f32 n0_i (*.f32 1/3 u)) 2)) (-.f32 (*.f32 (*.f32 n1_i 1/6) u) (*.f32 n0_i (*.f32 1/3 u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 (pow.f32 n0_i 3) 1/27 (*.f32 (pow.f32 n1_i 3) 1/216)) u) (fma.f32 (*.f32 n0_i 1/3) (-.f32 (*.f32 n0_i 1/3) (*.f32 n1_i 1/6)) (*.f32 (*.f32 n1_i n1_i) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (*.f32 n1_i n1_i) 1/36) (*.f32 (*.f32 n0_i n0_i) 1/9)) u) (fma.f32 n1_i 1/6 (*.f32 -1/3 n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (fma.f32 (pow.f32 n0_i 3) 1/27 (*.f32 (pow.f32 n1_i 3) 1/216))) (fma.f32 (*.f32 n0_i 1/3) (-.f32 (*.f32 n0_i 1/3) (*.f32 n1_i 1/6)) (*.f32 (*.f32 n1_i n1_i) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (-.f32 (*.f32 (*.f32 n1_i n1_i) 1/36) (*.f32 (*.f32 n0_i n0_i) 1/9))) (fma.f32 n1_i 1/6 (*.f32 -1/3 n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))))) 2)) (cbrt.f32 (log.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3)))))) (sqrt.f32 (log.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u) (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 u (fma.f32 n1_i 1/6 (*.f32 n0_i 1/3)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 n1_i (*.f32 1/6 u) (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1/6 (*.f32 n1_i u) (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 n1_i 1/6) u (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 n0_i (*.f32 1/3 u) (*.f32 (*.f32 n1_i 1/6) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1/3 (*.f32 n0_i u) (*.f32 (*.f32 n1_i 1/6) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 n0_i 1/3) u (*.f32 (*.f32 n1_i 1/6) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u (*.f32 n1_i 1/6) (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u (*.f32 n0_i 1/3) (*.f32 (*.f32 n1_i 1/6) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 (*.f32 n1_i 1/6) u) (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 n0_i (*.f32 1/3 u)) (*.f32 (*.f32 n1_i 1/6) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 u u)) (*.f32 (cbrt.f32 u) (*.f32 n1_i 1/6)) (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 u u)) (*.f32 (cbrt.f32 u) (*.f32 n0_i 1/3)) (*.f32 (*.f32 n1_i 1/6) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i 1/3)) 2) (*.f32 (cbrt.f32 (*.f32 n0_i 1/3)) u) (*.f32 (*.f32 n1_i 1/6) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 n1_i 1/6)) 2) (*.f32 (cbrt.f32 (*.f32 n1_i 1/6)) u) (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u) (*.f32 (sqrt.f32 u) (*.f32 n1_i 1/6)) (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u) (*.f32 (sqrt.f32 u) (*.f32 n0_i 1/3)) (*.f32 (*.f32 n1_i 1/6) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 n0_i 1/3)) (*.f32 (sqrt.f32 (*.f32 n0_i 1/3)) u) (*.f32 (*.f32 n1_i 1/6) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 n1_i 1/6)) (*.f32 (sqrt.f32 (*.f32 n1_i 1/6)) u) (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 n1_i 1/6) u) 1 (*.f32 (*.f32 n0_i (*.f32 1/3 u)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 n1_i 1/6) u)) 2) (cbrt.f32 (*.f32 (*.f32 n1_i 1/6) u)) (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (*.f32 1/3 u))) 2) (cbrt.f32 (*.f32 n0_i (*.f32 1/3 u))) (*.f32 (*.f32 n1_i 1/6) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 (*.f32 n1_i 1/6) u)) (sqrt.f32 (*.f32 (*.f32 n1_i 1/6) u)) (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 n0_i (*.f32 1/3 u))) (sqrt.f32 (*.f32 n0_i (*.f32 1/3 u))) (*.f32 (*.f32 n1_i 1/6) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u n1_i) 1/6 (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u 1/6) n1_i (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (pow.f32 (cbrt.f32 (*.f32 n1_i 1/6)) 2)) (cbrt.f32 (*.f32 n1_i 1/6)) (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (sqrt.f32 (*.f32 n1_i 1/6))) (sqrt.f32 (*.f32 n1_i 1/6)) (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 n1_i 1/6) (cbrt.f32 (*.f32 u u))) (cbrt.f32 u) (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 n1_i 1/6) (sqrt.f32 u)) (sqrt.f32 u) (*.f32 n0_i (*.f32 1/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u n0_i) 1/3 (*.f32 (*.f32 n1_i 1/6) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u 1/3) n0_i (*.f32 (*.f32 n1_i 1/6) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (pow.f32 (cbrt.f32 (*.f32 n0_i 1/3)) 2)) (cbrt.f32 (*.f32 n0_i 1/3)) (*.f32 (*.f32 n1_i 1/6) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (sqrt.f32 (*.f32 n0_i 1/3))) (sqrt.f32 (*.f32 n0_i 1/3)) (*.f32 (*.f32 n1_i 1/6) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 n0_i 1/3) (cbrt.f32 (*.f32 u u))) (cbrt.f32 u) (*.f32 (*.f32 n1_i 1/6) u))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 n0_i 1/3) (sqrt.f32 u)) (sqrt.f32 u) (*.f32 (*.f32 n1_i 1/6) u))))))

simplify36.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

19×	`fma-def_binary32`
9×	`*-commutative_binary32`
6×	`associate-r_binary32`
6×	`associate-l_binary32`
3×	`+-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	468
1	38	468
2	60	468
3	66	468

Stop Event

1×

saturated

Counts

178 → 127

Calls

Call 1

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

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

localize154.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 normAngle (.f32 u n1_i)))
✓	0.1b	(.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i)
✓	0.1b	(-.f32 normAngle (*.f32 normAngle u))
✓	8.5b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))

Compiler

Compiled 71 to 13 computations (81.7% saved)

series25.0ms (0.2%)

Counts

4 → 156

Calls

39 calls:

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

rewrite139.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`log-prod_binary32`
614×	`fma-def_binary32`
300×	`expm1-udef_binary32`
300×	`log1p-udef_binary32`
276×	`fma-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	313	62
2	4612	62

Stop Event

1×	node limit

Counts

4 → 226

Calls

Call 1

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

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

simplify184.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

554×	`fma-neg_binary32`
461×	`cancel-sign-sub-inv_binary32`
458×	`distribute-rgt-neg-out_binary32`
418×	`unsub-neg_binary32`
382×	`*-commutative_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	3367
1	490	3336
2	1712	3285
3	4781	3221

Stop Event

1×	node limit

Counts

382 → 291

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

eval376.0ms (2.5%)

Compiler: Compiled 19169 to 9252 computations (51.7% saved)

prune135.0ms (0.9%)

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	643	9	652
Fresh	4	17	21
Picked	1	0	1
Done	0	6	6
Total	648	32	680

Error

Counts

680 → 32

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(+.f32 (.f32 (.f32 1/3 (.f32 u n0_i)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
	15.6b	(/.f32 (+.f32 (pow.f32 (.f32 u (-.f32 n1_i n0_i)) 3) (pow.f32 n0_i 3)) (+.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (-.f32 (.f32 n0_i n0_i) (.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))))
▶	0.4b	(+.f32 (.f32 (.f32 u (+.f32 (.f32 -1/2 (.f32 u n0_i)) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
✓	17.7b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
	9.3b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	6.1b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	5.7b	(+.f32 (.f32 (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (pow.f32 normAngle 2)) (+.f32 (*.f32 n1_i u) n0_i))
	5.9b	(+.f32 (*.f32 n1_i u) n0_i)
	19.3b	(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
✓	0.4b	(+.f32 (.f32 (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	0.7b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	9.3b	(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
	0.7b	(fma.f32 (-.f32 1 u) n0_i (*.f32 u n1_i))
✓	0.7b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	14.2b	(-.f32 n0_i (*.f32 u n0_i))
✓	0.6b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
	12.3b	(/.f32 (+.f32 (.f32 (sin.f32 normAngle) n0_i) (.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))
▶	22.2b	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
✓	19.2b	(*.f32 u n1_i)
▶	8.7b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
	5.7b	(+.f32 n0_i (.f32 (fma.f32 (.f32 -1/6 (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u 3) u) u) n1_i))
▶	14.2b	(*.f32 (-.f32 1 u) n0_i)
	0.5b	(+.f32 (.f32 (.f32 1/6 (.f32 n1_i u)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
	8.6b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
✓	0.4b	(+.f32 (.f32 (+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	19.0b	(*.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)))
	8.7b	(/.f32 (+.f32 (.f32 (sin.f32 normAngle) n0_i) (.f32 u (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle)))) (sin.f32 normAngle))
	0.7b	(fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))
	8.7b	(.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 normAngle (.f32 u n1_i))) (/.f32 1 (sin.f32 normAngle)))
	17.8b	n0_i
	0.8b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
	8.6b	(/.f32 (fma.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

Compiler

Compiled 1042 to 676 computations (35.1% saved)

localize213.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f32 (-.f32 1 u) n0_i)
✓	0.3b	(.f32 u (+.f32 (.f32 -1/2 (.f32 u n0_i)) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3))))
	0.3b	(*.f32 n0_i 1/3)
	0.4b	(*.f32 n1_i 1/6)

Compiler

Compiled 133 to 79 computations (40.6% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u	@	0	(.f32 u (+.f32 (.f32 -1/2 (.f32 u n0_i)) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3))))
1.0ms	u	@	inf	(.f32 u (+.f32 (.f32 -1/2 (.f32 u n0_i)) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3))))
1.0ms	u	@	-inf	(.f32 u (+.f32 (.f32 -1/2 (.f32 u n0_i)) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3))))
1.0ms	n0_i	@	-inf	(.f32 u (+.f32 (.f32 -1/2 (.f32 u n0_i)) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3))))
1.0ms	n0_i	@	0	(.f32 u (+.f32 (.f32 -1/2 (.f32 u n0_i)) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3))))

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`log-prod_binary32`
741×	`fma-def_binary32`
383×	`fma-neg_binary32`
277×	`expm1-udef_binary32`
277×	`log1p-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	18
1	313	18
2	4362	18

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u (*.f32 n0_i (*.f32 u -1/2))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u (fma.f32 u (*.f32 n0_i -1/2) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (fma.f32 u (*.f32 n0_i -1/2) (*.f32 n1_i 1/6)) u) (*.f32 (*.f32 n0_i 1/3) u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u (*.f32 n0_i (*.f32 u -1/2))) 1) (*.f32 (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u (fma.f32 u (*.f32 n0_i -1/2) (*.f32 n1_i 1/6))) (*.f32 u (*.f32 n0_i 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 u) (fma.f32 u (*.f32 n0_i -1/2) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))) (cbrt.f32 (pow.f32 (exp.f32 u) (fma.f32 u (*.f32 n0_i -1/2) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u) (fma.f32 u (*.f32 n0_i -1/2) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u) (fma.f32 u (*.f32 n0_i -1/2) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u) (fma.f32 u (*.f32 n0_i -1/2) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u (fma.f32 u (*.f32 n0_i -1/2) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 u (*.f32 n0_i (*.f32 u -1/2))) 3) (pow.f32 (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) 3)) (fma.f32 (*.f32 u (*.f32 n0_i (*.f32 u -1/2))) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))) (-.f32 (*.f32 (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) (*.f32 (*.f32 u (*.f32 n0_i (*.f32 u -1/2))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 u (*.f32 n0_i (*.f32 u -1/2))) (*.f32 u (*.f32 n0_i (*.f32 u -1/2)))) (*.f32 (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))) (-.f32 (*.f32 u (*.f32 n0_i (*.f32 u -1/2))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 (pow.f32 (*.f32 u n0_i) 3) -1/8 (pow.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) 3)) u) (fma.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) (-.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) (*.f32 n0_i (*.f32 u -1/2))) (pow.f32 (*.f32 n0_i (*.f32 u -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (*.f32 n0_i (*.f32 u -1/2)) 2) (pow.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) 2)) u) (-.f32 (*.f32 n0_i (*.f32 u -1/2)) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (fma.f32 (pow.f32 (*.f32 u n0_i) 3) -1/8 (pow.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) 3))) (fma.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) (-.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) (*.f32 n0_i (*.f32 u -1/2))) (pow.f32 (*.f32 n0_i (*.f32 u -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (-.f32 (pow.f32 (*.f32 n0_i (*.f32 u -1/2)) 2) (pow.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) 2))) (-.f32 (*.f32 n0_i (*.f32 u -1/2)) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u (fma.f32 u (*.f32 n0_i -1/2) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u (fma.f32 u (*.f32 n0_i -1/2) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u (fma.f32 u (*.f32 n0_i -1/2) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u (fma.f32 u (*.f32 n0_i -1/2) (fma.f32 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(#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u) 2) (*.f32 (cbrt.f32 u) (*.f32 n0_i (*.f32 u -1/2))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) 2) (*.f32 (cbrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) u) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 n0_i (*.f32 u -1/2))) 2) (*.f32 (cbrt.f32 (*.f32 n0_i (*.f32 u -1/2))) u) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u) (*.f32 (sqrt.f32 u) (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u) (*.f32 (sqrt.f32 u) (*.f32 n0_i (*.f32 u -1/2))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) (*.f32 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(*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) (cbrt.f32 (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))) (cbrt.f32 (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 u (*.f32 n0_i (*.f32 u -1/2)))) (sqrt.f32 (*.f32 u (*.f32 n0_i (*.f32 u -1/2)))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) (sqrt.f32 (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (*.f32 n0_i (*.f32 u -1/2))) (sqrt.f32 u)) (*.f32 (sqrt.f32 (*.f32 n0_i (*.f32 u -1/2))) (sqrt.f32 u)) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 u) (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) (*.f32 (sqrt.f32 u) (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) (sqrt.f32 u)) (*.f32 (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) (sqrt.f32 u)) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 u) (sqrt.f32 (*.f32 n0_i (*.f32 u -1/2)))) (*.f32 (sqrt.f32 u) (sqrt.f32 (*.f32 n0_i (*.f32 u -1/2)))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (*.f32 u n0_i)) -1/2 (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 n0_i (*.f32 u -1/2)) (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 n0_i (*.f32 u -1/2)) (sqrt.f32 u)) (sqrt.f32 u) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (pow.f32 (cbrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) 2)) (cbrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) (sqrt.f32 u)) (sqrt.f32 u) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (pow.f32 (cbrt.f32 (*.f32 n0_i (*.f32 u -1/2))) 2)) (cbrt.f32 (*.f32 n0_i (*.f32 u -1/2))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (sqrt.f32 (*.f32 n0_i (*.f32 u -1/2)))) (sqrt.f32 (*.f32 n0_i (*.f32 u -1/2))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (*.f32 u -1/2)) n0_i (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))))

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

938×	`fma-def_binary32`
744×	`fma-neg_binary32`
570×	`distribute-rgt-neg-in_binary32`
424×	`cancel-sign-sub-inv_binary32`
306×	`unsub-neg_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	652
1	99	652
2	252	490
3	647	490
4	1771	490
5	4231	490
6	6703	490

Stop Event

1×	node limit

Counts

104 → 84

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f32 u normAngle)
✓	0.1b	(.f32 n1_i (.f32 u normAngle))
✓	12.3b	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))

Compiler

Compiled 25 to 8 computations (68% saved)

series24.0ms (0.2%)

Counts

2 → 4

Calls

18 calls:

Time	Variable		Point	Expression
16.0ms	normAngle	@	0	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
1.0ms	normAngle	@	-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))
1.0ms	n1_i	@	0	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
1.0ms	n1_i	@	inf	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`pow1_binary32`
886×	`add-log-exp_binary32`
886×	`log1p-expm1-u_binary32`
886×	`expm1-log1p-u_binary32`
866×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	166	19
2	2315	19

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

404×	`sub-neg_binary32`
403×	`*-commutative_binary32`
386×	`fma-neg_binary32`
358×	`distribute-neg-in_binary32`
324×	`fma-def_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	112
1	112	107
2	404	93
3	2045	87
4	6783	87

Stop Event

1×	node limit

Counts

62 → 65

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))))))

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 u (.f32 (.f32 normAngle normAngle) n1_i)) (.f32 n1_i u))
(.f32 n1_i (+.f32 u (.f32 u (.f32 1/6 (.f32 normAngle normAngle)))))
(+.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 u (.f32 (.f32 normAngle normAngle) n1_i)) (.f32 n1_i u)) (.f32 (.f32 n1_i u) (*.f32 -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 u (.f32 (.f32 normAngle normAngle) n1_i)) (.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 u) (*.f32 -7/360 (pow.f32 normAngle 4))))
(-.f32 (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)))))) (.f32 (.f32 (*.f32 n1_i u) -31/15120) (pow.f32 normAngle 6)))
(+.f32 (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 (pow.f32 normAngle 6) (.f32 (.f32 n1_i u) 31/15120)))

localize63.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (.f32 1/3 (*.f32 u n0_i)) (pow.f32 normAngle 2))
	0.1b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	0.1b	(*.f32 (-.f32 1 u) n0_i)
✓	0.3b	(.f32 1/3 (.f32 u n0_i))

Compiler

Compiled 70 to 37 computations (47.1% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	u	@	0	(.f32 (.f32 1/3 (*.f32 u n0_i)) (pow.f32 normAngle 2))
1.0ms	n0_i	@	0	(.f32 (.f32 1/3 (*.f32 u n0_i)) (pow.f32 normAngle 2))
1.0ms	u	@	inf	(.f32 (.f32 1/3 (*.f32 u n0_i)) (pow.f32 normAngle 2))
1.0ms	normAngle	@	0	(.f32 (.f32 1/3 (*.f32 u n0_i)) (pow.f32 normAngle 2))
1.0ms	normAngle	@	inf	(.f32 (.f32 1/3 (*.f32 u n0_i)) (pow.f32 normAngle 2))

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

905×	`pow1_binary32`
832×	`add-log-exp_binary32`
832×	`log1p-expm1-u_binary32`
832×	`expm1-log1p-u_binary32`
814×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	206	20
2	2323	20

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs
(.f32 1/3 (.f32 u n0_i))
(.f32 (.f32 1/3 (*.f32 u n0_i)) (pow.f32 normAngle 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 1/3 (*.f32 u n0_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 1/3 (*.f32 u n0_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 1/3 (*.f32 u n0_i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 1/3 (*.f32 u n0_i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 1/3 (*.f32 u n0_i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (*.f32 u n0_i) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 1/3) (*.f32 u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 1/3 (*.f32 u n0_i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 1/3 (*.f32 u n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 1/3 (*.f32 u n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 1/3 (*.f32 u n0_i))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 1/3 (*.f32 (*.f32 u n0_i) (*.f32 normAngle normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 1/3 (*.f32 (*.f32 u n0_i) (*.f32 normAngle normAngle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 1/3 (*.f32 (*.f32 u n0_i) (*.f32 normAngle normAngle))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 1/3 (*.f32 (*.f32 u n0_i) (*.f32 normAngle normAngle)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 normAngle (sqrt.f32 (*.f32 1/3 (*.f32 u n0_i)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 1/3 (*.f32 (*.f32 u n0_i) (*.f32 normAngle normAngle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 1/3) (*.f32 (*.f32 u n0_i) (*.f32 normAngle normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 1/3 (*.f32 (*.f32 u n0_i) (*.f32 normAngle normAngle))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 1/3 (*.f32 u n0_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 (*.f32 1/3 (*.f32 u n0_i)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 1/3 (*.f32 (*.f32 u n0_i) (*.f32 normAngle normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 1/3 (*.f32 (*.f32 u n0_i) (*.f32 normAngle normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 1/3 (*.f32 (*.f32 u n0_i) (*.f32 normAngle normAngle)))))))))

simplify124.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

861×	`fabs-mul_binary32`
837×	`cube-prod_binary32`
792×	`sqr-pow_binary32`
684×	`unswap-sqr_binary32`
425×	`pow-sqr_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	552
1	35	552
2	80	552
3	195	552
4	588	552
5	722	552
6	815	552
7	1006	552
8	1367	552
9	2324	552
10	2540	552
11	2875	552
12	3313	552
13	3887	552
14	4634	552
15	5503	552
16	6548	552
17	7967	552

Stop Event

1×	node limit

Counts

72 → 29

Calls

Call 1

Inputs
(.f32 1/3 (.f32 n0_i u))
(.f32 1/3 (.f32 n0_i u))
(.f32 1/3 (.f32 n0_i u))
(.f32 1/3 (.f32 n0_i u))
(.f32 1/3 (.f32 n0_i u))
(.f32 1/3 (.f32 n0_i u))
(.f32 1/3 (.f32 n0_i u))
(.f32 1/3 (.f32 n0_i u))
(.f32 1/3 (.f32 n0_i u))
(.f32 1/3 (.f32 n0_i u))
(.f32 1/3 (.f32 n0_i u))
(.f32 1/3 (.f32 n0_i u))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))

Outputs
(.f32 1/3 (.f32 n0_i u))
(.f32 (.f32 1/3 n0_i) u)
(.f32 n0_i (.f32 1/3 u))
(.f32 1/3 (.f32 n0_i u))
(.f32 (.f32 1/3 n0_i) u)
(.f32 n0_i (.f32 1/3 u))
(.f32 1/3 (.f32 n0_i u))
(.f32 (.f32 1/3 n0_i) u)
(.f32 n0_i (.f32 1/3 u))
(.f32 1/3 (.f32 n0_i u))
(.f32 (.f32 1/3 n0_i) u)
(.f32 n0_i (.f32 1/3 u))
(.f32 1/3 (.f32 n0_i u))
(.f32 (.f32 1/3 n0_i) u)
(.f32 n0_i (.f32 1/3 u))
(.f32 1/3 (.f32 n0_i u))
(.f32 (.f32 1/3 n0_i) u)
(.f32 n0_i (.f32 1/3 u))
(.f32 1/3 (.f32 n0_i u))
(.f32 (.f32 1/3 n0_i) u)
(.f32 n0_i (.f32 1/3 u))
(.f32 1/3 (.f32 n0_i u))
(.f32 (.f32 1/3 n0_i) u)
(.f32 n0_i (.f32 1/3 u))
(.f32 1/3 (.f32 n0_i u))
(.f32 (.f32 1/3 n0_i) u)
(.f32 n0_i (.f32 1/3 u))
(.f32 1/3 (.f32 n0_i u))
(.f32 (.f32 1/3 n0_i) u)
(.f32 n0_i (.f32 1/3 u))
(.f32 1/3 (.f32 n0_i u))
(.f32 (.f32 1/3 n0_i) u)
(.f32 n0_i (.f32 1/3 u))
(.f32 1/3 (.f32 n0_i u))
(.f32 (.f32 1/3 n0_i) u)
(.f32 n0_i (.f32 1/3 u))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 u (*.f32 n0_i (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))
(.f32 1/3 (.f32 n0_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 (.f32 1/3 n0_i) (.f32 u (.f32 normAngle normAngle)))
(.f32 1/3 (.f32 n0_i (.f32 u (.f32 normAngle normAngle))))
(.f32 (.f32 (.f32 1/3 (.f32 n0_i u)) normAngle) normAngle)
(.f32 (.f32 u normAngle) (.f32 n0_i (.f32 1/3 normAngle)))
(.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle))))

localize64.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 normAngle (.f32 u n1_i)))
✓	0.1b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i)
	0.1b	(*.f32 (-.f32 1 u) normAngle)
✓	8.5b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))

Compiler

Compiled 72 to 35 computations (51.4% saved)

series14.0ms (0.1%)

Counts

3 → 108

Calls

33 calls:

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

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

859×	`log-prod_binary32`
475×	`fma-def_binary32`
292×	`expm1-udef_binary32`
291×	`log1p-udef_binary32`
244×	`log-pow_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	317	55
2	4368	55

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify94.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

515×	`fma-neg_binary32`
431×	`cancel-sign-sub-inv_binary32`
426×	`associate-/l*_binary32`
382×	`*-commutative_binary32`
347×	`associate-+l+_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2919
1	466	2888
2	1654	2837
3	4503	2816

Stop Event

1×	node limit

Counts

232 → 184

Calls

Call 1

Inputs
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 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_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 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle)))
(+.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 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_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 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_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 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_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 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_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 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(*.f32 (sin.f32 normAngle) n0_i)
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle)))) (*.f32 (sin.f32 normAngle) n0_i))
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle)))) (+.f32 (.f32 (sin.f32 normAngle) n0_i) (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 n0_i (*.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))))))
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle)))) (+.f32 (.f32 (sin.f32 normAngle) n0_i) (+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 (pow.f32 u 2) (pow.f32 normAngle 2))))) (.f32 1/6 (.f32 (cos.f32 normAngle) (.f32 n0_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))))))))
(.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle)))
(.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle)))
(.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle)))
(.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle)))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i (pow.f32 normAngle 3)))) (.f32 (-.f32 1 u) (*.f32 n0_i normAngle)))
(+.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) (.f32 n0_i (pow.f32 normAngle 5)))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i (pow.f32 normAngle 3)))) (.f32 (-.f32 1 u) (.f32 n0_i normAngle))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) (.f32 n0_i (pow.f32 normAngle 5)))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i (pow.f32 normAngle 3)))) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) (*.f32 n0_i (pow.f32 normAngle 7)))))))
(*.f32 (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 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(.f32 n1_i (.f32 u normAngle))
(+.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))) (.f32 n1_i (*.f32 u normAngle)))
(+.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))) (.f32 n1_i (*.f32 u normAngle)))
(+.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (.f32 -1 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 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(.f32 n1_i (.f32 u normAngle))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(.f32 n1_i (.f32 u normAngle))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i)
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i)
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i)
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(.f32 n1_i (.f32 u normAngle))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(.f32 n1_i (.f32 u normAngle))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (.f32 u normAngle)))

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

eval299.0ms (2%)

Compiler: Compiled 17736 to 9568 computations (46.1% saved)

prune134.0ms (0.9%)

Pruning

35 alts after pruning (25 fresh and 10 done)

	Pruned	Kept	Total
New	698	11	709
Fresh	7	14	21
Picked	0	1	1
Done	1	9	10
Total	706	35	741

Error

Counts

741 → 35

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(+.f32 (.f32 (.f32 u (+.f32 (.f32 -1/2 (.f32 u n0_i)) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	0.7b	(+.f32 (.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle)))) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	0.7b	(+.f32 (.f32 (.f32 (+.f32 (.f32 -1/2 u) 1/3) (.f32 n0_i u)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
✓	17.7b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
	6.1b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	5.7b	(+.f32 (.f32 (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (pow.f32 normAngle 2)) (+.f32 (*.f32 n1_i u) n0_i))
	5.9b	(+.f32 (*.f32 n1_i u) n0_i)
	19.3b	(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
	22.2b	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (*.f32 u normAngle)))
	0.5b	(+.f32 (.f32 (.f32 n1_i (.f32 u 1/6)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
	8.7b	(/.f32 (+.f32 (.f32 (sin.f32 normAngle) n0_i) (.f32 u (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle)))) (sin.f32 normAngle))
✓	0.4b	(+.f32 (.f32 (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	0.7b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	9.3b	(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
	14.3b	(/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (+.f32 1 u))
	0.7b	(fma.f32 (-.f32 1 u) n0_i (*.f32 u n1_i))
	19.0b	(.f32 n1_i (+.f32 u (.f32 u (.f32 1/6 (.f32 normAngle normAngle)))))
	8.7b	(/.f32 (+.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) normAngle) (+.f32 u 1))) n0_i) (.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))
	0.7b	(fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))
✓	0.7b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	9.3b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	14.2b	(-.f32 n0_i (*.f32 u n0_i))
✓	0.6b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
✓	22.2b	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
	12.3b	(/.f32 (+.f32 (.f32 (sin.f32 normAngle) n0_i) (.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))
	17.8b	n0_i
✓	8.7b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
✓	19.2b	(*.f32 u n1_i)
✓	14.2b	(*.f32 (-.f32 1 u) n0_i)
	8.6b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
✓	0.4b	(+.f32 (.f32 (+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	19.0b	(*.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)))
	5.9b	(+.f32 (.f32 (.f32 1/3 (.f32 u n0_i)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) n0_i))
	8.7b	(.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 normAngle (.f32 u n1_i))) (/.f32 1 (sin.f32 normAngle)))
	8.6b	(/.f32 (fma.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

Compiler

Compiled 618 to 416 computations (32.7% saved)

regimes224.0ms (1.5%)

Counts

64 → 1

Calls

Call 1

Inputs
n0_i
n0_i
(*.f32 u n1_i)
(+.f32 (*.f32 n1_i u) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (+.f32 1 u))
(.f32 n1_i (+.f32 u (.f32 u (.f32 1/6 (.f32 normAngle normAngle)))))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
(+.f32 (.f32 n0_i (.f32 u (.f32 1/3 (.f32 normAngle normAngle)))) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(fma.f32 (-.f32 1 u) n0_i (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)))
(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (*.f32 u normAngle)))
(/.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 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(+.f32 (.f32 (.f32 1/3 (.f32 u n0_i)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) n0_i))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
(+.f32 (.f32 (.f32 n1_i (.f32 u 1/6)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (.f32 1/3 (.f32 u n0_i)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (pow.f32 normAngle 2)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 (.f32 1/6 (.f32 n1_i u)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (.f32 (+.f32 (.f32 -1/2 u) 1/3) (.f32 n0_i u)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (.f32 u (+.f32 (.f32 -1/2 (.f32 u n0_i)) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(.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 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 normAngle) n0_i) (.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 normAngle) n0_i) (.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))
(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(/.f32 (.f32 (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))) normAngle) (sin.f32 normAngle))
(+.f32 n0_i (.f32 (fma.f32 (.f32 -1/6 (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u 3) u) u) n1_i))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
(+.f32 (.f32 (-.f32 1 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 (+.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) normAngle) (+.f32 u 1))) n0_i) (.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))
(/.f32 (+.f32 (pow.f32 (.f32 u (-.f32 n1_i n0_i)) 3) (pow.f32 n0_i 3)) (+.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (-.f32 (.f32 n0_i n0_i) (.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))))
(+.f32 (.f32 (+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(fma.f32 (.f32 n1_i (sqrt.f32 u)) (sqrt.f32 u) (.f32 (-.f32 1 u) n0_i))
(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 u (*.f32 n1_i normAngle))) (sin.f32 normAngle))
(.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 normAngle (.f32 u n1_i))) (/.f32 1 (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 normAngle) n0_i) (.f32 u (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle)))) (sin.f32 normAngle))
(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle))))))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 -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 (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 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (/.f32 1 (sin.f32 normAngle)))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 -1/6 (.f32 normAngle normAngle)) (-.f32 (pow.f32 u 3) u) u) n1_i))
(+.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(+.f32 (pow.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))) 2) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))) 1) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (cbrt.f32 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))

Outputs

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

Calls

5 calls:

51.0ms	normAngle
41.0ms	u
38.0ms	(+.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))
35.0ms	n1_i
35.0ms	n0_i

Results

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

Compiler

Compiled 1065 to 484 computations (54.6% saved)

regimes110.0ms (0.7%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	n1_i
24.0ms	u
23.0ms	normAngle
23.0ms	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 636 to 284 computations (55.3% saved)

regimes80.0ms (0.5%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	n0_i
18.0ms	u
17.0ms	n1_i
16.0ms	normAngle

Results

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

Compiler

Compiled 384 to 188 computations (51% saved)

regimes140.0ms (0.9%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	u
17.0ms	n1_i
16.0ms	normAngle
16.0ms	n0_i

Results

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

Compiler

Compiled 361 to 174 computations (51.8% saved)

regimes63.0ms (0.4%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	normAngle
14.0ms	n1_i
14.0ms	u
14.0ms	n0_i

Results

Error	Segments	Branch
0.6b	1	`normAngle`
0.6b	1	`u`
0.6b	1	`n0_i`
0.6b	1	`n1_i`

Compiler

Compiled 262 to 119 computations (54.6% saved)

regimes36.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	n0_i
8.0ms	u
8.0ms	normAngle
7.0ms	n1_i

Results

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

Compiler

Compiled 125 to 69 computations (44.8% saved)

regimes78.0ms (0.5%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

51.0ms	n1_i
15.0ms	n0_i
5.0ms	normAngle
5.0ms	u

Results

Error	Segments	Branch
5.9b	1	`normAngle`
5.9b	1	`u`
4.8b	2	`n0_i`
4.4b	3	`n1_i`

Compiler

Compiled 44 to 28 computations (36.4% saved)

bsearch5.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.0047568045776454e-26	1.6299323229350434e-25
0.0ms	-8.071507396791282e-28	-5.506805230714104e-28

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes49.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

35.0ms	normAngle
4.0ms	u
4.0ms	n1_i
4.0ms	n0_i

Results

Error	Segments	Branch
5.9b	1	`normAngle`
5.9b	1	`u`
5.9b	1	`n0_i`
5.9b	1	`n1_i`

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes38.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

Inputs
n0_i
n0_i
(*.f32 u n1_i)

Outputs
n0_i
(*.f32 u n1_i)
n0_i

Calls

4 calls:

11.0ms	n1_i
10.0ms	n0_i
10.0ms	u
5.0ms	normAngle

Results

Error	Segments	Branch
17.8b	1	`normAngle`
14.8b	2	`u`
12.4b	3	`n0_i`
13.2b	3	`n1_i`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	4.0393433325224656e-23	1.8194633754638265e-22
0.0ms	-1.4181118990330184e-22	-1.0500446730040194e-22

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes16.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
n0_i
n0_i

Outputs
n0_i

Calls

4 calls:

5.0ms	normAngle
3.0ms	u
3.0ms	n0_i
3.0ms	n1_i

Results

Error	Segments	Branch
17.8b	1	`normAngle`
17.8b	1	`u`
17.8b	1	`n0_i`
17.8b	1	`n1_i`

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

23×	`*-commutative_binary32`
18×	`+-commutative_binary32`
7×	`sub-neg_binary32`
3×	`neg-sub0_binary32`
3×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	234
1	107	234
2	122	234
3	128	234
4	131	234

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f32 (.f32 (+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (.f32 u (+.f32 (.f32 -1/2 (.f32 u n0_i)) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (.f32 n1_i (.f32 u 1/6)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(if (<=.f32 n1_i -1557689/2596148429267413814265248164610048) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 2028241/20282409603651670423947251286016) (-.f32 n0_i (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i)))
(+.f32 (*.f32 n1_i u) n0_i)
(if (<=.f32 n0_i -9507380/79228162514264337593543950336) n0_i (if (<=.f32 n0_i 15845633/158456325028528675187087900672) (*.f32 u n1_i) n0_i))
n0_i

Outputs
(+.f32 (.f32 (+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u))))
(+.f32 (.f32 (.f32 u (+.f32 (.f32 -1/2 (.f32 u n0_i)) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u))) (.f32 (pow.f32 normAngle 2) (.f32 u (+.f32 (.f32 -1/2 (.f32 n0_i u)) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))))))
(+.f32 (.f32 (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u))) (.f32 (pow.f32 normAngle 2) (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))))
(+.f32 (.f32 (.f32 n1_i (.f32 u 1/6)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u))) (.f32 (pow.f32 normAngle 2) (.f32 n1_i (*.f32 u 1/6))))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n1_i -1557689/2596148429267413814265248164610048) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 2028241/20282409603651670423947251286016) (-.f32 n0_i (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -1557689/2596148429267413814265248164610048) (+.f32 n0_i (.f32 u n1_i)) (if (<=.f32 n1_i 2028241/20282409603651670423947251286016) (-.f32 n0_i (.f32 n0_i u)) (+.f32 n0_i (*.f32 u n1_i))))
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 n0_i (*.f32 u n1_i))
(if (<=.f32 n0_i -9507380/79228162514264337593543950336) n0_i (if (<=.f32 n0_i 15845633/158456325028528675187087900672) (*.f32 u n1_i) n0_i))
(if (<=.f32 n0_i -2376845/19807040628566084398385987584) n0_i (if (<=.f32 n0_i 15845633/158456325028528675187087900672) (*.f32 u n1_i) n0_i))
n0_i

Compiler

Compiled 201 to 133 computations (33.8% saved)

soundness547.0ms (3.7%)

Algorithm

2×	egg-herbie

Rules

1069×	`fma-neg_binary32`
880×	`fma-def_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	110	2069
1	364	1871
2	1174	1672
3	4556	1625

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 3653 to 2723 computations (25.5% saved)

end74.0ms (0.5%)

Compiler: Compiled 165 to 87 computations (47.3% saved)