Details

analyze826.0ms (6%)

Algorithm

1×

Search

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

Compiler

Compiled 62 to 45 computations (27.4% saved)

sample5.5s (40.1%)

Results

4.3s	8256×	body	256	valid
1.1s	2076×	body	256	invalid

preprocess105.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify100.0ms (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

0.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.9b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
▶	0.6b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))

Status

Error

Program

▶

6.9b

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

▶

0.6b

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

Compiler

Compiled 50 to 32 computations (36% saved)

localize188.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
✓	0.2b	(*.f32 (-.f32 1 u) normAngle)
✓	0.4b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
✓	1.0b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))

Compiler

Compiled 105 to 54 computations (48.6% saved)

series46.0ms (0.3%)

Counts

4 → 96

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	u	@	0	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
3.0ms	normAngle	@	inf	(*.f32 (-.f32 1 u) normAngle)
3.0ms	n0_i	@	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
3.0ms	u	@	0	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))
2.0ms	normAngle	@	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)

rewrite129.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

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

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

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

208 → 167

Calls

Call 1

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

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

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f32 normAngle (*.f32 u normAngle))
✓	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
✓	0.2b	(fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
✓	6.8b	(/.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)

series26.0ms (0.2%)

Counts

4 → 128

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	u	@	0	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
2.0ms	normAngle	@	-inf	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
2.0ms	normAngle	@	0	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
1.0ms	n0_i	@	0	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
1.0ms	n1_i	@	0	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

rewrite110.0ms (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))
(fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_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 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) 1) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))) (log.f32 (sqrt.f32 (exp.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)) (cbrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (sqrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) 3) (pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 3)) (+.f32 (pow.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) 2) (-.f32 (pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 2) (.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) 2) (pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 2)) (-.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 pow.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 pow.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (.f32 normAngle 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 (sin.f32 (.f32 normAngle 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 (sin.f32 (.f32 normAngle u)) n1_i))) 2)))) 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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)))))

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-neg_binary32`
515×	`associate-+l+_binary32`
472×	`associate-+r+_binary32`
453×	`unsub-neg_binary32`
430×	`*-commutative_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	3226
1	513	3153
2	1841	3122
3	6242	3122

Stop Event

1×	node limit

Counts

325 → 256

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

eval204.0ms (1.5%)

Compiler: Compiled 12775 to 5264 computations (58.8% saved)

prune94.0ms (0.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	408	15	423
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	410	15	425

Error

0.0b

Counts

425 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	6.9b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	5.1b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	7.2b	(/.f32 (pow.f32 (cbrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) 3) (sin.f32 normAngle))
	6.9b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 n1_i (*.f32 u normAngle))) (sin.f32 normAngle))
▶	15.9b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
▶	3.0b	(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle))))))
	7.0b	(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)
▶	0.5b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
▶	0.4b	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
▶	0.5b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	15.9b	n0_i
	22.2b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	7.3b	(/.f32 (.f32 (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))) normAngle) (sin.f32 normAngle))
	7.3b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	0.6b	(+.f32 (.f32 (expm1.f32 (log1p.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))

Compiler

Compiled 545 to 350 computations (35.8% saved)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

21 calls:

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

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	153	22
2	2147	22

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

Outputs

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

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

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	553
1	77	472
2	141	472
3	385	472
4	833	472
5	1111	472
6	1220	472
7	1223	472

Stop Event

1×

saturated

Counts

146 → 93

Calls

Call 1

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

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

localize28.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series7.0ms (0.1%)

Counts

3 → 30

Calls

21 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	192	22
2	2623	22

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

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

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))))))

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

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	230
1	55	196
2	118	196
3	231	196
4	504	196
5	859	196
6	1132	196
7	1201	196
8	1203	196

Stop Event

1×

saturated

Counts

183 → 167

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))

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
	0.0b	(-.f32 normAngle (*.f32 u normAngle))
✓	0.2b	(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
✓	9.4b	(/.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 → 36

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))

rewrite90.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

176 → 191

Calls

Call 1

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

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

localize72.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 73 to 42 computations (42.5% saved)

series7.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

831×	`log-prod_binary32`
489×	`fma-def_binary32`
287×	`expm1-udef_binary32`
286×	`log1p-udef_binary32`
243×	`log-pow_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	21
1	320	21
2	4313	21

Stop Event

1×	node limit

Counts

1 → 71

Calls

Call 1

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

Outputs

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

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

492×	`fma-neg_binary32`
472×	`associate-r_binary32`
447×	`associate-l_binary32`
440×	`cancel-sign-sub-inv_binary32`
357×	`fma-def_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1223
1	265	1177
2	880	1159
3	4782	1157

Stop Event

1×	node limit

Counts

119 → 93

Calls

Call 1

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

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

localize100.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle))))))
✓	0.1b	(.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle)))))
✓	9.3b	(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
✓	10.6b	(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))

Compiler

Compiled 111 to 26 computations (76.6% saved)

series64.0ms (0.5%)

Counts

4 → 83

Calls

36 calls:

Time	Variable		Point	Expression
14.0ms	n1_i	@	-inf	(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
6.0ms	u	@	0	(.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle)))))
3.0ms	n0_i	@	0	(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))
2.0ms	normAngle	@	0	(.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle)))))
2.0ms	normAngle	@	-inf	(/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))

rewrite172.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 231

Calls

Call 1

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

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

simplify150.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	2725
1	424	2423
2	1400	1998
3	6205	1989

Stop Event

1×	node limit

Counts

314 → 283

Calls

Call 1

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

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

eval818.0ms (6%)

Compiler: Compiled 24888 to 9837 computations (60.5% saved)

prune249.0ms (1.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	1050	16	1066
Fresh	8	2	10
Picked	1	0	1
Done	3	1	4
Total	1062	19	1081

Error

0.0b

Counts

1081 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	15.9b	n0_i
	5.1b	(+.f32 (*.f32 n1_i u) n0_i)
▶	0.2b	(+.f32 n0_i (.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i -1/3 (.f32 n1_i -1/6))))))
▶	12.6b	(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
	0.4b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
✓	0.5b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
▶	20.2b	(*.f32 u n1_i)
	7.8b	(+.f32 n0_i (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))
▶	0.5b	(fma.f32 (-.f32 1 u) n0_i (*.f32 u n1_i))
	0.7b	(+.f32 (pow.f32 (cbrt.f32 (.f32 u n1_i)) 3) (.f32 (-.f32 1 u) n0_i))
	16.8b	(/.f32 (.f32 n0_i (exp.f32 (log.f32 (sin.f32 (.f32 normAngle (-.f32 1 u)))))) (sin.f32 normAngle))
	0.5b	(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
	12.6b	(*.f32 (-.f32 1 u) n0_i)
	0.4b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
	7.3b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	20.7b	(*.f32 (-.f32 n1_i n0_i) u)
	5.0b	(+.f32 n0_i (.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)) n1_i))
▶	12.6b	(-.f32 n0_i (*.f32 u n0_i))
	7.3b	(/.f32 (.f32 (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))) normAngle) (sin.f32 normAngle))

Compiler

Compiled 462 to 311 computations (32.7% saved)

localize111.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 83 to 40 computations (51.8% saved)

series20.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	normAngle	@	inf	(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i -1/3 (*.f32 n1_i -1/6)))
1.0ms	u	@	0	(.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i -1/3 (.f32 n1_i -1/6)))))
1.0ms	normAngle	@	0	(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i -1/3 (*.f32 n1_i -1/6)))
1.0ms	normAngle	@	0	(.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i -1/3 (.f32 n1_i -1/6)))))
1.0ms	n1_i	@	-inf	(.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i -1/3 (.f32 n1_i -1/6)))))

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`log-prod_binary32`
516×	`fma-def_binary32`
279×	`expm1-udef_binary32`
279×	`log1p-udef_binary32`
275×	`fma-neg_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	309	49
2	4213	47

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

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

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

simplify148.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

782×	`unsub-neg_binary32`
533×	`cancel-sign-sub-inv_binary32`
404×	`distribute-rgt-neg-in_binary32`
358×	`sub-neg_binary32`
344×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	1650
1	145	1650
2	411	1650
3	1591	1644
4	3747	1644
5	6383	1644

Stop Event

1×	node limit

Counts

211 → 121

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

367×	`pow1_binary32`
350×	`add-sqr-sqrt_binary32`
345×	`*-un-lft-identity_binary32`
336×	`add-log-exp_binary32`
336×	`log1p-expm1-u_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	78	4
2	922	4

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f32 u n1_i)

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96
1	5	96

Stop Event

1×

saturated

Counts

45 → 22

Calls

Call 1

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

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

localize42.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 6 computations (57.1% saved)

localize27.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 11 computations (50% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`pow1_binary32`
756×	`add-log-exp_binary32`
756×	`log1p-expm1-u_binary32`
756×	`expm1-log1p-u_binary32`
740×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	162	11
2	1993	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

303×	`fma-def_binary32`
267×	`fma-neg_binary32`
50×	`cancel-sign-sub-inv_binary32`
44×	`unsub-neg_binary32`
39×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	322
1	50	264
2	125	264
3	230	264
4	476	264
5	841	264
6	1140	264
7	1235	264
8	1238	264

Stop Event

1×

saturated

Counts

57 → 32

Calls

Call 1

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

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

localize121.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 21 computations (46.2% saved)

series10.0ms (0.1%)

Counts

4 → 88

Calls

27 calls:

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

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	227	39
2	2968	39

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

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

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

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

844×	`fma-def_binary32`
758×	`fma-neg_binary32`
504×	`cancel-sign-sub-inv_binary32`
387×	`*-commutative_binary32`
253×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1555
1	406	1499
2	1481	1466
3	5304	1464

Stop Event

1×	node limit

Counts

213 → 172

Calls

Call 1

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

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

eval340.0ms (2.5%)

Compiler: Compiled 7367 to 3813 computations (48.2% saved)

prune130.0ms (0.9%)

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	418	6	424
Fresh	3	10	13
Picked	0	1	1
Done	1	4	5
Total	422	21	443

Error

0.0b

Counts

443 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
▶	12.8b	(.f32 (+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
✓	0.5b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	15.9b	n0_i
✓	20.2b	(*.f32 u n1_i)
	7.8b	(+.f32 n0_i (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))
✓	0.5b	(fma.f32 (-.f32 1 u) n0_i (*.f32 u n1_i))
	0.7b	(+.f32 (pow.f32 (cbrt.f32 (.f32 u n1_i)) 3) (.f32 (-.f32 1 u) n0_i))
	16.8b	(/.f32 (.f32 n0_i (exp.f32 (log.f32 (sin.f32 (.f32 normAngle (-.f32 1 u)))))) (sin.f32 normAngle))
	0.5b	(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
	0.4b	(+.f32 n0_i (.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (.f32 -1/3 n0_i)))))
▶	12.6b	(*.f32 (-.f32 1 u) n0_i)
	7.3b	(/.f32 (.f32 (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))) normAngle) (sin.f32 normAngle))
▶	0.4b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
	7.3b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	5.1b	(+.f32 (*.f32 n1_i u) n0_i)
✓	12.6b	(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
	20.7b	(*.f32 (-.f32 n1_i n0_i) u)
▶	0.2b	(+.f32 n0_i (.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 normAngle (.f32 n1_i (.f32 -1/6 normAngle))))))
	1.1b	(pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) n0_i (*.f32 u n1_i))) 3)
✓	12.6b	(-.f32 n0_i (*.f32 u n0_i))

Compiler

Compiled 493 to 333 computations (32.5% saved)

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 66 to 33 computations (50% saved)

series14.0ms (0.1%)

Counts

4 → 96

Calls

27 calls:

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

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`log-prod_binary32`
493×	`fma-def_binary32`
368×	`pow2_binary32`
256×	`pow1/3_binary32`
251×	`expm1-udef_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	269	40
2	3845	38

Stop Event

1×	node limit

Counts

4 → 80

Calls

Call 1

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

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

simplify111.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

641×	`unsub-neg_binary32`
513×	`cancel-sign-sub-inv_binary32`
389×	`associate-l_binary32`
363×	`neg-sub0_binary32`
361×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	1164
1	104	1164
2	248	1164
3	686	1164
4	2385	1164
5	4527	1164
6	6547	1164
7	7428	1164

Stop Event

1×	node limit

Counts

176 → 101

Calls

Call 1

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

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

localize14.0ms (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)

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series6.0ms (0%)

Counts

2 → 51

Calls

18 calls:

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

rewrite121.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

103 → 69

Calls

Call 1

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

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

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)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.3%)

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)

localize90.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle))
	0.2b	(*.f32 normAngle (-.f32 1 u))
✓	0.2b	(.f32 1/6 (.f32 n0_i normAngle))
✓	0.3b	(.f32 (+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))

Compiler

Compiled 59 to 30 computations (49.2% saved)

series38.0ms (0.3%)

Counts

3 → 51

Calls

21 calls:

Time	Variable		Point	Expression
26.0ms	normAngle	@	-inf	(.f32 (+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
1.0ms	n0_i	@	inf	(.f32 (+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
1.0ms	n0_i	@	0	(.f32 (+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
1.0ms	u	@	0	(.f32 (+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
1.0ms	u	@	inf	(.f32 (+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))

rewrite124.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`log-prod_binary32`
430×	`fma-def_binary32`
279×	`pow1/3_binary32`
271×	`expm1-udef_binary32`
270×	`log1p-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	300	40
2	4081	40

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs

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

(*.f32 1/6 (*.f32 n0_i normAngle))

(+.f32 (*.f32 1/6 (*.f32 n0_i normAngle)) (/.f32 n0_i normAngle))

Outputs

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

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

699×	`associate-l_binary32`
687×	`associate-r_binary32`
450×	`fma-def_binary32`
427×	`fma-neg_binary32`
315×	`distribute-rgt-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1277
1	271	1192
2	951	1127
3	5395	1116

Stop Event

1×	node limit

Counts

171 → 150

Calls

Call 1

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

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

eval123.0ms (0.9%)

Compiler: Compiled 7819 to 3956 computations (49.4% saved)

prune151.0ms (1.1%)

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	438	6	444
Fresh	4	7	11
Picked	0	1	1
Done	0	9	9
Total	442	23	465

Error

0.0b

Counts

465 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	2.9b	(+.f32 (/.f32 (.f32 (-.f32 (.f32 n1_i n1_i) (*.f32 n0_i n0_i)) u) (+.f32 n1_i n0_i)) n0_i)
✓	12.6b	(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
✓	0.4b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
✓	12.8b	(.f32 (+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
✓	0.5b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	15.9b	n0_i
✓	20.2b	(*.f32 u n1_i)
	7.8b	(+.f32 n0_i (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))
✓	0.5b	(fma.f32 (-.f32 1 u) n0_i (*.f32 u n1_i))
	20.7b	(*.f32 (-.f32 n1_i n0_i) u)
	16.8b	(/.f32 (.f32 n0_i (exp.f32 (log.f32 (sin.f32 (.f32 normAngle (-.f32 1 u)))))) (sin.f32 normAngle))
	0.5b	(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
	0.4b	(+.f32 n0_i (.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (.f32 -1/3 n0_i)))))
✓	12.6b	(*.f32 (-.f32 1 u) n0_i)
	0.6b	(+.f32 (pow.f32 (cbrt.f32 (*.f32 (-.f32 n1_i n0_i) u)) 3) n0_i)
	7.3b	(/.f32 (.f32 (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))) normAngle) (sin.f32 normAngle))
✓	0.4b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
	7.3b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	5.1b	(+.f32 (*.f32 u n1_i) n0_i)
	14.6b	(+.f32 (-.f32 (+.f32 1 (*.f32 (-.f32 n1_i n0_i) u)) 1) n0_i)
✓	0.2b	(+.f32 n0_i (.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 normAngle (.f32 n1_i (.f32 -1/6 normAngle))))))
	1.1b	(pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) n0_i (*.f32 u n1_i))) 3)
✓	12.6b	(-.f32 n0_i (*.f32 u n0_i))

Compiler

Compiled 309 to 208 computations (32.7% saved)

regimes173.0ms (1.3%)

Counts

45 → 1

Calls

Call 1

Inputs
n0_i
n0_i
n0_i
n0_i
(*.f32 u n1_i)
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 u n1_i) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 n1_i n0_i) u)
(-.f32 n0_i (*.f32 u n0_i))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (-.f32 (+.f32 1 (*.f32 (-.f32 n1_i n0_i) u)) 1) n0_i)
(+.f32 (/.f32 (.f32 (-.f32 (.f32 n1_i n1_i) (*.f32 n0_i n0_i)) u) (+.f32 n1_i n0_i)) n0_i)
(+.f32 n0_i (.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (.f32 -1/3 n0_i)))))
(+.f32 n0_i (.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 normAngle (.f32 n1_i (.f32 -1/6 normAngle))))))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(fma.f32 (-.f32 1 u) n0_i (*.f32 u n1_i))
(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
(+.f32 n0_i (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 n0_i (.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)) n1_i))
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(.f32 (+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(+.f32 n0_i (.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i -1/3 (.f32 n1_i -1/6))))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 (pow.f32 (cbrt.f32 (*.f32 (-.f32 n1_i n0_i) u)) 3) n0_i)
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
(+.f32 (pow.f32 (cbrt.f32 (.f32 u n1_i)) 3) (.f32 (-.f32 1 u) n0_i))
(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(/.f32 (.f32 (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))) normAngle) (sin.f32 normAngle))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
(pow.f32 (cbrt.f32 (fma.f32 (-.f32 1 u) n0_i (*.f32 u n1_i))) 3)
(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 n1_i (*.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle))))))
(/.f32 (.f32 n0_i (exp.f32 (log.f32 (sin.f32 (.f32 normAngle (-.f32 1 u)))))) (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 (.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))
(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)
(/.f32 (pow.f32 (cbrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) 3) (sin.f32 normAngle))
(+.f32 (.f32 (expm1.f32 (log1p.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))

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

Calls

5 calls:

51.0ms	n0_i
47.0ms	(+.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))
23.0ms	u
21.0ms	normAngle
20.0ms	n1_i

Results

Error	Segments	Branch
0.2b	1	`normAngle`
0.2b	1	`u`
0.2b	1	`n0_i`
0.2b	1	`n1_i`
0.2b	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 548 to 233 computations (57.5% saved)

regimes54.0ms (0.4%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 219 to 96 computations (56.2% saved)

regimes59.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	u
9.0ms	normAngle
9.0ms	n1_i
8.0ms	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 132 to 59 computations (55.3% saved)

regimes41.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	u
9.0ms	n1_i
9.0ms	n0_i
9.0ms	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 117 to 52 computations (55.6% saved)

regimes151.0ms (1.1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

4 calls:

60.0ms	n1_i
37.0ms	normAngle
7.0ms	n0_i
7.0ms	u

Results

Error	Segments	Branch
5.1b	1	`normAngle`
5.1b	1	`u`
5.1b	1	`n0_i`
3.3b	3	`n1_i`

Compiler

Compiled 66 to 34 computations (48.5% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.4955590390090392e-27	1.0494780534442837e-26
0.0ms	-6.708238958644427e-20	-5.731364504613443e-20

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes75.0ms (0.5%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

4 calls:

53.0ms	n1_i
7.0ms	n0_i
7.0ms	u
6.0ms	normAngle

Results

Error	Segments	Branch
5.1b	1	`normAngle`
5.1b	1	`u`
5.1b	1	`n0_i`
3.4b	3	`n1_i`

Compiler

Compiled 61 to 32 computations (47.5% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.4955590390090392e-27	1.0494780534442837e-26
0.0ms	-6.708238958644427e-20	-5.731364504613443e-20

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes56.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

40.0ms	n1_i
5.0ms	u
5.0ms	n0_i
5.0ms	normAngle

Results

Error	Segments	Branch
5.1b	1	`normAngle`
5.1b	1	`u`
5.1b	1	`n0_i`
5.1b	1	`n1_i`

Compiler

Compiled 41 to 24 computations (41.5% saved)

regimes95.0ms (0.7%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

39.0ms	n1_i
35.0ms	u
14.0ms	n0_i
5.0ms	normAngle

Results

Error	Segments	Branch
15.9b	1	`normAngle`
14.1b	2	`u`
11.2b	3	`n0_i`
11.0b	3	`n1_i`

Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.1008265696568764e-12	1.718067636942433e-12
0.0ms	-3.8515910049669473e-19	-6.708238958644427e-20

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes19.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

4 → 1

Calls

Call 1

Inputs
n0_i
n0_i
n0_i
n0_i

Outputs
n0_i

Calls

4 calls:

6.0ms	normAngle
4.0ms	u
4.0ms	n0_i
4.0ms	n1_i

Results

Error	Segments	Branch
15.9b	1	`normAngle`
15.9b	1	`u`
15.9b	1	`n0_i`
15.9b	1	`n1_i`

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

27×	`*-commutative_binary32`
24×	`+-commutative_binary32`
19×	`sub-neg_binary32`
15×	`distribute-rgt-neg-in_binary32`
13×	`neg-sub0_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	175
1	93	175
2	137	175
3	171	175
4	195	175
5	202	175
6	204	175

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f32 n0_i (.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i -1/3 (.f32 n1_i -1/6))))))
(+.f32 n0_i (.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 normAngle (.f32 n1_i (.f32 -1/6 normAngle))))))
(+.f32 n0_i (.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (.f32 -1/3 n0_i)))))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(if (<=.f32 n1_i -4642275/77371252455336267181195264) (+.f32 (.f32 u n1_i) n0_i) (if (<=.f32 n1_i 6490371/649037107316853453566312041152512) (-.f32 n0_i (.f32 u n0_i)) (+.f32 (*.f32 u n1_i) n0_i)))
(if (<=.f32 n1_i -4642275/77371252455336267181195264) (+.f32 (.f32 u n1_i) n0_i) (if (<=.f32 n1_i 6490371/649037107316853453566312041152512) (.f32 (-.f32 1 u) n0_i) (+.f32 (*.f32 u n1_i) n0_i)))
(+.f32 (*.f32 u n1_i) n0_i)
(if (<=.f32 n1_i -7737125/77371252455336267181195264) (.f32 u n1_i) (if (<=.f32 n1_i 6917529/4611686018427387904) n0_i (.f32 u n1_i)))
n0_i

Outputs
(+.f32 n0_i (.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i -1/3 (.f32 n1_i -1/6))))))
(+.f32 n0_i (.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 normAngle (.f32 n1_i (.f32 -1/6 normAngle))))))
(+.f32 n0_i (.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 normAngle (.f32 n1_i (.f32 normAngle -1/6))))))
(+.f32 n0_i (.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (.f32 -1/3 n0_i)))))
(+.f32 n0_i (.f32 u (-.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (.f32 n0_i -1/3)))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (.f32 n0_i 1/3)))))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n1_i -4642275/77371252455336267181195264) (+.f32 (.f32 u n1_i) n0_i) (if (<=.f32 n1_i 6490371/649037107316853453566312041152512) (-.f32 n0_i (.f32 u n0_i)) (+.f32 (*.f32 u n1_i) n0_i)))
(if (<=.f32 n1_i -4642275/77371252455336267181195264) (+.f32 n0_i (.f32 u n1_i)) (if (<=.f32 n1_i 6490371/649037107316853453566312041152512) (-.f32 n0_i (.f32 n0_i u)) (+.f32 n0_i (*.f32 u n1_i))))
(if (<=.f32 n1_i -4642275/77371252455336267181195264) (+.f32 (.f32 u n1_i) n0_i) (if (<=.f32 n1_i 6490371/649037107316853453566312041152512) (.f32 (-.f32 1 u) n0_i) (+.f32 (*.f32 u n1_i) n0_i)))
(if (<=.f32 n1_i -4642275/77371252455336267181195264) (+.f32 n0_i (.f32 u n1_i)) (if (<=.f32 n1_i 6490371/649037107316853453566312041152512) (.f32 n0_i (-.f32 1 u)) (+.f32 n0_i (*.f32 u n1_i))))
(+.f32 (*.f32 u n1_i) n0_i)
(+.f32 n0_i (*.f32 u n1_i))
(if (<=.f32 n1_i -7737125/77371252455336267181195264) (.f32 u n1_i) (if (<=.f32 n1_i 6917529/4611686018427387904) n0_i (.f32 u n1_i)))
n0_i

Compiler

Compiled 158 to 95 computations (39.9% saved)

soundness431.0ms (3.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	38	31
2	88	31
3	177	26
4	266	26
5	317	26
6	387	26
7	491	26
8	753	26
9	889	26
10	1093	26
11	1790	26
12	4011	26
13	5871	26
14	6509	26
15	7205	26
16	7860	26
0	138	2725
1	424	2423
2	1400	1998
3	6205	1989

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 888 to 627 computations (29.4% saved)

end53.0ms (0.4%)

Compiler: Compiled 126 to 54 computations (57.1% saved)