Details

analyze494.0ms (2.9%)

Algorithm

1×

Search

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

Compiler

Compiled 62 to 45 computations (27.4% saved)

sample6.2s (36.8%)

Results

5.0s	8256×	body	256	valid
1.1s	2077×	body	256	invalid

preprocess269.0ms (1.6%)

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)

simplify113.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(+.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))
▶	9.0b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

Status

Error

Program

▶

0.7b

(+.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))

▶

9.0b

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

Compiler

Compiled 50 to 32 computations (36% saved)

localize294.0ms (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f32 (-.f32 1 u) normAngle)
✓	0.2b	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
✓	0.4b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
✓	1.5b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))

Compiler

Compiled 105 to 54 computations (48.6% saved)

series26.0ms (0.2%)

Counts

4 → 96

Calls

27 calls:

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

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

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

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

simplify296.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-def_binary32`
729×	`fma-neg_binary32`
366×	`*-commutative_binary32`
342×	`associate-+l+_binary32`
334×	`sub-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	2110
1	514	2027
2	1745	1993
3	6605	1979

Stop Event

1×	node limit

Counts

208 → 167

Calls

Call 1

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

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

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f32 normAngle (*.f32 u normAngle))
✓	0.1b	(fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
✓	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
✓	9.0b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

Compiler

Compiled 65 to 12 computations (81.5% saved)

series32.0ms (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	@	0	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
1.0ms	normAngle	@	-inf	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
1.0ms	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))

rewrite150.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

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

simplify221.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

325 → 257

Calls

Call 1

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

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

eval173.0ms (1%)

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

prune88.0ms (0.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	409	15	424
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	411	15	426

Error

0.0b

Counts

426 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	9.5b	(/.f32 (.f32 (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))) normAngle) (sin.f32 normAngle))
▶	9.1b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 u (*.f32 n1_i normAngle))) (sin.f32 normAngle))
▶	21.9b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
▶	0.7b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	9.0b	(/.f32 (fma.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	9.0b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	18.5b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
▶	0.4b	(+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	4.3b	(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle))))))
▶	0.7b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
	0.6b	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
	17.6b	n0_i
	9.6b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	0.7b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	14.6b	(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))

Compiler

Compiled 567 to 372 computations (34.4% saved)

localize246.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))
✓	0.4b	(.f32 -1/6 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
✓	0.6b	(pow.f32 (-.f32 1 u) 3)
✓	7.1b	(-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))))

Compiler

Compiled 204 to 136 computations (33.3% saved)

series28.0ms (0.2%)

Counts

4 → 96

Calls

27 calls:

Time	Variable		Point	Expression
8.0ms	n0_i	@	-inf	(-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))))
2.0ms	u	@	0	(-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))))
2.0ms	u	@	0	(pow.f32 (-.f32 1 u) 3)
2.0ms	n1_i	@	0	(-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))))
1.0ms	n0_i	@	0	(-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))))

rewrite128.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 123

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 u 3) (.f32 -1/6 n1_i)) (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 u 3) (.f32 -1/6 n1_i)) (.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 -1/6 (.f32 n1_i (pow.f32 u 3)) (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (+.f32 (.f32 (pow.f32 u 3) (.f32 -1/6 n1_i)) (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) (fma.f32 (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6) 1 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) (fma.f32 1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))) (pow.f32 (cbrt.f32 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) 2) (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6) (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) (.f32 (pow.f32 u 3) (.f32 -1/6 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))) (pow.f32 (cbrt.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))) 2) (cbrt.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))) (sqrt.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (.f32 -1/216 (pow.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) 3)) (.f32 (pow.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 3) -1/216)) (/.f32 1 (+.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (.f32 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))) (.f32 -1/6 (+.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (.f32 (pow.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 2) 1/36)) (/.f32 1 (.f32 -1/6 (+.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (sqrt.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)))) (sqrt.f32 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))) (-.f32 (sqrt.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)))) (sqrt.f32 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (.f32 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))) (.f32 -1/6 (+.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))))) (-.f32 (.f32 -1/216 (pow.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) 3)) (.f32 (pow.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 3) -1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (.f32 -1/6 (+.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) (-.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (.f32 (pow.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 2) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 -1/216 (pow.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) 3)) (.f32 (pow.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 3) -1/216)) (+.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (.f32 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))) (.f32 -1/6 (+.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (.f32 (pow.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 2) 1/36)) (.f32 -1/6 (+.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (.f32 -1/216 (pow.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) 3)) (.f32 (pow.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 3) -1/216))) (neg.f32 (+.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (.f32 (.f32 -1/6 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))) (.f32 -1/6 (+.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (.f32 (pow.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 2) 1/36))) (neg.f32 (.f32 -1/6 (+.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 (pow.f32 u 3) (.f32 -1/6 n1_i)) 3) (pow.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) 3)) (+.f32 (.f32 1/36 (.f32 (pow.f32 u 6) (.f32 n1_i n1_i))) (-.f32 (.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))) (.f32 (.f32 (pow.f32 u 3) (.f32 -1/6 n1_i)) (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 -1/216 (pow.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) 3)) (pow.f32 (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6) 3)) (+.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (-.f32 (.f32 (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6) (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6)) (.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 1/36 (.f32 (pow.f32 u 6) (.f32 n1_i n1_i))) (.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))) (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)))))) (-.f32 (.f32 (pow.f32 u 3) (.f32 -1/6 n1_i)) (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) 2) (.f32 (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6) (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6))) (fma.f32 -1/6 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (neg.f32 (.f32 (fma.f32 (-.f32 1 u) n0_i (.f32 n1_i u)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 -1/6 (-.f32 (fma.f32 n1_i (pow.f32 u 3) (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (fma.f32 (-.f32 1 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simplify90.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

219 → 187

Calls

Call 1

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

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

localize54.0ms (0.3%)

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))
✓	0.2b	(*.f32 (-.f32 1 u) n0_i)

Compiler

Compiled 28 to 15 computations (46.4% saved)

series6.0ms (0%)

Counts

3 → 30

Calls

21 calls:

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

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	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)))))))

simplify42.0ms (0.3%)

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))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f32 (*.f32 u normAngle))
✓	0.0b	(*.f32 u normAngle)
	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
✓	11.9b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))

Compiler

Compiled 31 to 9 computations (71% saved)

series11.0ms (0.1%)

Counts

3 → 16

Calls

21 calls:

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

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

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

Outputs

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

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

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

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

131 → 137

Calls

Call 1

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

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

localize102.0ms (0.6%)

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 1 u) normAngle)
	0.2b	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
	0.4b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))

Compiler

Compiled 73 to 42 computations (42.5% saved)

series9.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	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	@	inf	(+.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))
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))
0.0ms	n1_i	@	inf	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))

rewrite78.0ms (0.5%)

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 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(-.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)) 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(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))))))

simplify70.0ms (0.4%)

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

localize60.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f32 normAngle (*.f32 u normAngle))
✓	0.1b	(.f32 u (.f32 n1_i normAngle))
✓	0.1b	(fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 u (*.f32 n1_i normAngle)))
✓	9.0b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 u (*.f32 n1_i normAngle))) (sin.f32 normAngle))

Compiler

Compiled 61 to 12 computations (80.3% saved)

series19.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

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

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i))) 2)) (*.f32 (cbrt.f32 (fma.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i (*.f32 normAngle (*.f32 u n1_i)))) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 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simplify102.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	2837
1	424	2809
2	1514	2715
3	5066	2715

Stop Event

1×	node limit

Counts

219 → 131

Calls

Call 1

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

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

eval531.0ms (3.2%)

Compiler: Compiled 26174 to 13244 computations (49.4% saved)

prune239.0ms (1.4%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	962	20	982
Fresh	7	3	10
Picked	1	0	1
Done	2	2	4
Total	972	25	997

Error

Counts

997 → 25

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(+.f32 (.f32 (+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	22.0b	(/.f32 (.f32 (.f32 u normAngle) n1_i) (sin.f32 normAngle))
	1.1b	(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))
	17.6b	n0_i
	0.5b	(+.f32 (.f32 (.f32 u (+.f32 (.f32 -1/2 (.f32 u n0_i)) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	0.6b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 u n1_i))
	5.6b	(+.f32 (*.f32 n1_i u) n0_i)
	0.7b	(+.f32 (.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
▶	0.6b	(+.f32 (.f32 (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)) n0_i) (*.f32 u n1_i))
	14.6b	(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
	0.5b	(+.f32 (.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
✓	21.9b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
✓	0.7b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	1.3b	(pow.f32 (cbrt.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))) 3)
	0.6b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
▶	9.6b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	0.6b	(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
	0.6b	(fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))
▶	0.8b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
	9.0b	(/.f32 (fma.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	14.7b	(*.f32 (-.f32 1 u) n0_i)
	0.5b	(+.f32 (.f32 (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	9.5b	(/.f32 (.f32 (fma.f32 n1_i u (-.f32 n0_i (.f32 u n0_i))) normAngle) (sin.f32 normAngle))
▶	19.0b	(*.f32 u n1_i)
	22.0b	(/.f32 (.f32 u (.f32 n1_i normAngle)) (sin.f32 normAngle))

Compiler

Compiled 811 to 552 computations (31.9% saved)

localize168.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 171 to 106 computations (38% saved)

series17.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

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

rewrite125.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 u 3) -1/6) (.f32 (neg.f32 u) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (pow.f32 u 9) (pow.f32 u 3)) -1/6) (+.f32 (pow.f32 u 6) (fma.f32 u u (pow.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (pow.f32 u 6) (.f32 u u)) -1/6) (+.f32 u (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1/6 (-.f32 (pow.f32 u 9) (pow.f32 u 3))) (+.f32 (pow.f32 u 6) (fma.f32 u u (pow.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1/6 (-.f32 (pow.f32 u 6) (.f32 u u))) (+.f32 u (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (pow.f32 (-.f32 (pow.f32 u 3) u) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (-.f32 (pow.f32 u 3) u)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n1_i (.f32 -1/6 (-.f32 (pow.f32 u 3) u))) (.f32 (neg.f32 n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 u 3) (.f32 -1/6 (-.f32 n1_i n0_i))) (.f32 (neg.f32 u) (.f32 -1/6 (-.f32 n1_i n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) n1_i) (.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (neg.f32 n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 -1/6 (-.f32 n1_i n0_i)) (pow.f32 u 3)) (.f32 (.f32 -1/6 (-.f32 n1_i n0_i)) (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (pow.f32 n1_i 3) (pow.f32 n0_i 3)) (.f32 -1/6 (-.f32 (pow.f32 u 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 n0_i) (-.f32 n1_i n0_i)) (.f32 -1/6 (-.f32 (pow.f32 u 3) u))) (+.f32 n1_i n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) 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 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i))) (+.f32 n1_i n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 -1/6 (-.f32 n1_i n0_i)) (-.f32 (pow.f32 u 9) (pow.f32 u 3))) (+.f32 (pow.f32 u 6) (fma.f32 u u (pow.f32 u 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 -1/6 (-.f32 n1_i n0_i)) (-.f32 (pow.f32 u 6) (.f32 u u))) (+.f32 u (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (-.f32 n1_i n0_i)) (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 -1/6 (*.f32 (-.f32 (pow.f32 u 3) u) (-.f32 n1_i n0_i)))) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u 1/2) n0_i) (.f32 (.f32 -1/2 (.f32 u u)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1/2 (.f32 u n0_i)) (.f32 (.f32 u -1/2) (.f32 u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u -1/2) (.f32 u n0_i)) (.f32 1/2 (.f32 u n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n0_i (.f32 u 1/2)) (.f32 n0_i (.f32 -1/2 (.f32 u u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u n0_i) 1/2) (.f32 (.f32 u n0_i) (.f32 u -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u n0_i) (.f32 u -1/2)) (.f32 (.f32 u n0_i) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (fma.f32 u -1/2 1/2) (.f32 u n0_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u n0_i) (+.f32 1/8 (.f32 (pow.f32 u 3) -1/8))) (+.f32 1/4 (.f32 (.f32 u -1/2) (fma.f32 u -1/2 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u n0_i) (-.f32 1/4 (.f32 1/4 (.f32 u u)))) (+.f32 1/2 (.f32 u 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (fma.f32 u -1/2 1/2) (.f32 u n0_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (fma.f32 u -1/2 1/2) (.f32 u n0_i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (fma.f32 u -1/2 1/2) (.f32 u n0_i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (fma.f32 u -1/2 1/2) (.f32 u n0_i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (fma.f32 u -1/2 1/2) (.f32 u n0_i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 u) (fma.f32 u -1/2 1/2)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (fma.f32 u -1/2 1/2) (.f32 u n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (fma.f32 u -1/2 1/2) (.f32 u n0_i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (fma.f32 u -1/2 1/2) (.f32 u n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (fma.f32 u -1/2 1/2) (.f32 u n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (fma.f32 u -1/2 1/2) (.f32 u n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (fma.f32 u -1/2 1/2) (*.f32 u n0_i))) 1))))))

simplify138.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	2219
1	190	2219
2	497	1769
3	1785	1765
4	5479	1765

Stop Event

1×	node limit

Counts

218 → 150

Calls

Call 1

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

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

localize47.0ms (0.3%)

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)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (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))))))

simplify16.0ms (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)

localize125.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 27 computations (50.9% saved)

series26.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	u	@	-inf	(-.f32 1 (*.f32 u u))
2.0ms	n0_i	@	0	(/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (+.f32 1 u))
2.0ms	n0_i	@	inf	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
1.0ms	u	@	0	(/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (+.f32 1 u))
1.0ms	n1_i	@	0	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))

rewrite148.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 212

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (.f32 (-.f32 1 u) n0_i))) (cbrt.f32 (exp.f32 (.f32 (-.f32 1 u) n0_i))))) (log.f32 (cbrt.f32 (exp.f32 (.f32 (-.f32 1 u) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (.f32 (-.f32 1 u) n0_i)))) (log.f32 (sqrt.f32 (exp.f32 (.f32 (-.f32 1 u) n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (-.f32 1 u) n0_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (/.f32 (+.f32 1 u) n0_i)) (/.f32 (.f32 u u) (/.f32 (+.f32 1 u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (.f32 u u)) (/.f32 1 (/.f32 (+.f32 1 u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (.f32 u u)) (.f32 n0_i (/.f32 1 (+.f32 1 u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 n0_i (.f32 (-.f32 1 (.f32 u u)) (/.f32 1 (+.f32 1 u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (/.f32 1 (+.f32 1 u)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (-.f32 1 u) n0_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (-.f32 1 u) n0_i)) (cbrt.f32 (pow.f32 (.f32 (-.f32 1 u) n0_i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (.f32 (-.f32 1 u) n0_i) 2)) (cbrt.f32 (.f32 (-.f32 1 u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)) 2) (.f32 (cbrt.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)) (/.f32 1 (+.f32 1 u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (-.f32 1 u) n0_i)) (sqrt.f32 (.f32 (-.f32 1 u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)) (.f32 (sqrt.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)) (/.f32 1 (+.f32 1 u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (-.f32 1 (.f32 u u)) (neg.f32 n0_i)) (/.f32 1 (fma.f32 -1 u -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (+.f32 1 u)) (.f32 (-.f32 1 (.f32 u u)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 u) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (-.f32 1 (.f32 u u)) 1) (/.f32 n0_i (+.f32 1 u)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 n0_i 1) (-.f32 1 u))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)) 2) 1) (/.f32 (cbrt.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)) (+.f32 1 u)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)) 1) (/.f32 (sqrt.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)) (+.f32 1 u)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 (cbrt.f32 (+.f32 1 u)) 2)) (/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (cbrt.f32 (+.f32 1 u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 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u))) (/.f32 (-.f32 1 (.f32 u u)) (sqrt.f32 (+.f32 1 u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)) 2) (sqrt.f32 (+.f32 1 u))) (/.f32 (cbrt.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i)) (sqrt.f32 (+.f32 1 u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (-.f32 1 (.f32 u u))) (-.f32 1 u))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (+.f32 1 (pow.f32 u 3))) (-.f32 (fma.f32 u u 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 (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 (/.f32 1 (.f32 (-.f32 1 u) n0_i)) -1)))) (#(struct:change #<rule 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((#(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))) (cbrt.f32 (pow.f32 (fma.f32 u n1_i (.f32 (-.f32 1 u) n0_i)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.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) 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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 (exp.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 (-.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))) (exp.f32 (.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 fma.f32 1 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u n1_i (.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (-.f32 1 (.f32 u u)) (/.f32 1 (/.f32 (+.f32 1 u) n0_i)) (.f32 u n1_i))))) (#(struct:change #<rule egg-rr> 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simplify146.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

782×	`fma-neg_binary32`
670×	`fma-def_binary32`
425×	`times-frac_binary32`
380×	`unsub-neg_binary32`
284×	`sub-neg_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	1110
1	104	1080
2	211	1080
3	480	1080
4	1537	1080
5	4177	1080
6	7621	1080

Stop Event

1×	node limit

Counts

308 → 245

Calls

Call 1

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

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

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
✓	0.2b	(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle)
	0.2b	(*.f32 (-.f32 1 u) n0_i)
✓	9.0b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))

Compiler

Compiled 56 to 27 computations (51.8% saved)

series33.0ms (0.2%)

Counts

2 → 76

Calls

24 calls:

Time	Variable		Point	Expression
19.0ms	normAngle	@	-inf	(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle)
1.0ms	normAngle	@	-inf	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
1.0ms	normAngle	@	inf	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
1.0ms	normAngle	@	0	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
1.0ms	n1_i	@	0	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`log-prod_binary32`
412×	`fma-def_binary32`
379×	`pow2_binary32`
263×	`pow1/3_binary32`
256×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	278	33
2	3933	33

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 1 (/.f32 (sin.f32 normAngle) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (*.f32 normAngle (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 normAngle (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle) (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle) 2)) (*.f32 (cbrt.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle)) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))) 2) (cbrt.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle)) (*.f32 (sqrt.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle)) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))) (sqrt.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_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 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) 1) (/.f32 normAngle (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 normAngle 1) (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (sin.f32 normAngle)) normAngle)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle) 2)) 1) (/.f32 (cbrt.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle)) 1) (/.f32 (sqrt.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle) (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 normAngle (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 normAngle (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle) 2)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (cbrt.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle)) (pow.f32 (cbrt.f32 (sin.f32 normAngle)) 2)) (/.f32 (sqrt.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle)) (cbrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (sin.f32 normAngle))) (/.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle) (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 normAngle (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 normAngle (sqrt.f32 (sin.f32 normAngle))) (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (pow.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle) 2)) (sqrt.f32 (sin.f32 normAngle))) (/.f32 (cbrt.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle)) (sqrt.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle) 3) (pow.f32 (sin.f32 normAngle) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle) (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) normAngle) 3) (pow.f32 (sin.f32 normAngle) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))) 1))))))

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

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

569×	`cancel-sign-sub-inv_binary32`
508×	`associate--r+_binary32`
443×	`fma-def_binary32`
374×	`associate--l+_binary32`
360×	`fma-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	1649
1	215	1542
2	822	1342
3	3746	1216

Stop Event

1×	node limit

Counts

156 → 113

Calls

Call 1

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

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

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f32 normAngle (*.f32 u normAngle))
✓	0.1b	(+.f32 (.f32 (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)) n0_i) (*.f32 u n1_i))
✓	0.2b	(.f32 (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)) n0_i)
✓	0.3b	(/.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (sin.f32 normAngle))

Compiler

Compiled 62 to 12 computations (80.6% saved)

series15.0ms (0.1%)

Counts

3 → 96

Calls

27 calls:

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

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`log-prod_binary32`
612×	`fma-def_binary32`
284×	`expm1-udef_binary32`
284×	`log1p-udef_binary32`
265×	`fma-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	294	52
2	4367	52

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify137.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

672×	`fma-def_binary32`
584×	`fma-neg_binary32`
499×	`cancel-sign-sub-inv_binary32`
377×	`associate-+l+_binary32`
354×	`unsub-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2591
1	450	2476
2	1500	2432
3	5791	2424

Stop Event

1×	node limit

Counts

229 → 186

Calls

Call 1

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

Outputs
(-.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 -1/6 (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))) (*.f32 normAngle normAngle))) u)
(-.f32 (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))) (.f32 normAngle normAngle) 1) u)
(fma.f32 (.f32 -1/6 (.f32 normAngle normAngle)) (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u)) (-.f32 1 u))
(fma.f32 -1/6 (.f32 (.f32 normAngle normAngle) (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1))) (-.f32 1 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 (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))) (.f32 normAngle normAngle) (.f32 (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (fma.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))) (.f32 (-.f32 1 u) 1/120))) (pow.f32 normAngle 4)))) u)
(+.f32 (fma.f32 (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (fma.f32 (-.f32 1 u) 1/120 (.f32 1/36 (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))) (pow.f32 normAngle 4) (.f32 (.f32 (*.f32 normAngle normAngle) -1/6) (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u)))) (-.f32 1 u))
(-.f32 (fma.f32 -1/6 (.f32 (.f32 normAngle normAngle) (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))) (fma.f32 (+.f32 (.f32 1/120 (-.f32 (pow.f32 (-.f32 1 u) 5) (-.f32 1 u))) (.f32 -1/36 (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u)))) (pow.f32 normAngle 4) 1)) u)
(-.f32 (fma.f32 -1/6 (.f32 (.f32 normAngle normAngle) (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1))) (fma.f32 (fma.f32 1/120 (+.f32 (pow.f32 (-.f32 1 u) 5) (+.f32 u -1)) (*.f32 -1/36 (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1)))) (pow.f32 normAngle 4) 1)) 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 1 (-.f32 (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 (.f32 -1/5040 (pow.f32 (-.f32 1 u) 7)) (fma.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (fma.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))) (.f32 (-.f32 1 u) 1/120))) (fma.f32 1/120 (.f32 -1/6 (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))) (.f32 (-.f32 1 u) -1/5040)))) (pow.f32 normAngle 6) (.f32 (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (fma.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))) (.f32 (-.f32 1 u) 1/120))) (pow.f32 normAngle 4)))) u))
(+.f32 (fma.f32 (.f32 -1/6 (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))) (.f32 normAngle normAngle) 1) (-.f32 (fma.f32 (-.f32 (.f32 -1/5040 (pow.f32 (-.f32 1 u) 7)) (fma.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (fma.f32 (-.f32 1 u) 1/120 (.f32 1/36 (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))) (fma.f32 (-.f32 1 u) -1/5040 (.f32 -1/720 (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u)))))) (pow.f32 normAngle 6) (.f32 (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (fma.f32 (-.f32 1 u) 1/120 (*.f32 1/36 (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))) (pow.f32 normAngle 4))) u))
(+.f32 (-.f32 1 u) (fma.f32 -1/6 (.f32 (.f32 normAngle normAngle) (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))) (fma.f32 (-.f32 (.f32 -1/5040 (-.f32 (pow.f32 (-.f32 1 u) 7) (-.f32 1 u))) (fma.f32 -1/6 (+.f32 (.f32 1/120 (-.f32 (pow.f32 (-.f32 1 u) 5) (-.f32 1 u))) (.f32 -1/36 (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u)))) (.f32 (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u)) -1/720))) (pow.f32 normAngle 6) (.f32 (+.f32 (.f32 1/120 (-.f32 (pow.f32 (-.f32 1 u) 5) (-.f32 1 u))) (*.f32 -1/36 (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u)))) (pow.f32 normAngle 4)))))
(+.f32 (-.f32 1 u) (fma.f32 (-.f32 (.f32 -1/5040 (+.f32 (pow.f32 (-.f32 1 u) 7) (+.f32 u -1))) (fma.f32 -1/6 (fma.f32 1/120 (+.f32 (pow.f32 (-.f32 1 u) 5) (+.f32 u -1)) (.f32 -1/36 (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1)))) (.f32 (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1)) -1/720))) (pow.f32 normAngle 6) (fma.f32 (fma.f32 1/120 (+.f32 (pow.f32 (-.f32 1 u) 5) (+.f32 u -1)) (.f32 -1/36 (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1)))) (pow.f32 normAngle 4) (.f32 (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1)) (.f32 -1/6 (*.f32 normAngle normAngle))))))
(/.f32 (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (neg.f32 (*.f32 normAngle (+.f32 -1 u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (neg.f32 (*.f32 normAngle (+.f32 -1 u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (neg.f32 (*.f32 normAngle (+.f32 -1 u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (neg.f32 (*.f32 normAngle (+.f32 -1 u)))) (sin.f32 normAngle))
(/.f32 (sin.f32 (-.f32 normAngle (*.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 (.f32 (.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 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 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) u)) 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 (.f32 (.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)) (.f32 -1/2 (.f32 (.f32 normAngle normAngle) (.f32 u u)))))
(+.f32 1 (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 -1/2 (.f32 u u))) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 u normAngle))))
(-.f32 (fma.f32 -1/2 (.f32 (.f32 normAngle normAngle) (.f32 u u)) 1) (.f32 (*.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 -1/2 (.f32 u u)) 1) (.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) u)) normAngle))
(+.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 (.f32 (.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)) (fma.f32 1/6 (/.f32 (.f32 (cos.f32 normAngle) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 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))) (fma.f32 1/6 (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (.f32 (.f32 normAngle normAngle) (.f32 -1/2 (.f32 u u)))))
(+.f32 1 (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (.f32 u -1/2)) (/.f32 (.f32 (cos.f32 normAngle) 1/6) (/.f32 (/.f32 (sin.f32 normAngle) (pow.f32 normAngle 3)) (pow.f32 u 3)))) (.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(-.f32 (fma.f32 1/6 (/.f32 (.f32 (cos.f32 normAngle) (pow.f32 u 3)) (/.f32 (sin.f32 normAngle) (pow.f32 normAngle 3))) (.f32 normAngle (.f32 normAngle (.f32 -1/2 (.f32 u u))))) (fma.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) -1))
(*.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 1 u) n0_i (.f32 (.f32 (.f32 normAngle normAngle) -1/6) (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u)))))
(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 (.f32 normAngle normAngle) (.f32 (.f32 -1/6 n0_i) (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -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 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 (pow.f32 (-.f32 1 u) 3) (-.f32 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 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))) (*.f32 (-.f32 1 u) n0_i)))
(fma.f32 (-.f32 1 u) n0_i (fma.f32 -1/6 (.f32 (.f32 normAngle normAngle) (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u)))) (.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 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))))))
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(fma.f32 n1_i u (*.f32 (-.f32 1 u) n0_i))
(fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))
(fma.f32 (-.f32 1 u) n0_i (*.f32 u n1_i))
(fma.f32 u n1_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 n1_i u) (*.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 n1_i u (*.f32 (-.f32 1 u) n0_i)))
(fma.f32 (.f32 normAngle normAngle) (.f32 -1/6 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u)))) (fma.f32 u n1_i (.f32 (-.f32 1 u) n0_i)))
(fma.f32 (.f32 -1/6 (.f32 normAngle normAngle)) (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))) (fma.f32 (-.f32 1 u) n0_i (.f32 u n1_i)))
(fma.f32 u n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 -1/6 n0_i) (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -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 n1_i u) (*.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) (fma.f32 n1_i u (.f32 (-.f32 1 u) n0_i))))
(fma.f32 (.f32 normAngle normAngle) (.f32 -1/6 (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 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 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))) (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))))
(fma.f32 -1/6 (.f32 (.f32 normAngle normAngle) (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u)))) (fma.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 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))) (*.f32 u n1_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 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1))))) (fma.f32 u n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 -1/6 n0_i) (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -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 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))))))
(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 n1_i u (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 (pow.f32 (-.f32 1 u) 3) (-.f32 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 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))) (fma.f32 u n1_i (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 (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)))))) (*.f32 (-.f32 1 u) n0_i)))))
(fma.f32 -1/6 (.f32 (.f32 normAngle normAngle) (.f32 n0_i (-.f32 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u)))) (fma.f32 u n1_i (fma.f32 (-.f32 1 u) n0_i (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 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))) (.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 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))))) (.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 (pow.f32 (-.f32 1 u) 3) (-.f32 1 u))))))))))
(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 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1))))) (fma.f32 -1/6 (.f32 (.f32 normAngle normAngle) (.f32 n0_i (+.f32 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1)))) (fma.f32 u n1_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 (pow.f32 (-.f32 1 u) 3) (+.f32 u -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 (pow.f32 (-.f32 1 u) 3) (+.f32 u -1))))))) (-.f32 n0_i (.f32 u n0_i))))))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle))))) (sin.f32 normAngle)) (.f32 n1_i u))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle))))) (sin.f32 normAngle)) (.f32 n1_i u))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle))))) (sin.f32 normAngle)) (.f32 n1_i u))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle))))) (sin.f32 normAngle)) (.f32 n1_i u))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
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 u (fma.f32 -1 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i))) n1_i)))
(fma.f32 u (-.f32 n1_i (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 normAngle n0_i))) n0_i)
(fma.f32 u (-.f32 n1_i (.f32 (.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) n0_i)
(fma.f32 u (-.f32 n1_i (.f32 (/.f32 (.f32 normAngle n0_i) (sin.f32 normAngle)) (cos.f32 normAngle))) 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 (.f32 normAngle normAngle) n0_i)) (+.f32 n0_i (.f32 u (fma.f32 -1 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i))) n1_i))))
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(fma.f32 u (-.f32 n1_i (.f32 (.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (.f32 (fma.f32 -1/2 (.f32 (.f32 normAngle normAngle) (.f32 u u)) 1) n0_i))
(fma.f32 u (-.f32 n1_i (.f32 (/.f32 (.f32 normAngle n0_i) (sin.f32 normAngle)) (cos.f32 normAngle))) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 -1/2 (.f32 u u)) 1) 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 (pow.f32 normAngle 3) n0_i)))) (fma.f32 -1/2 (.f32 (.f32 u u) (.f32 (.f32 normAngle normAngle) n0_i)) (+.f32 n0_i (.f32 u (fma.f32 -1 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n0_i))) n1_i)))))
(fma.f32 1/6 (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 (pow.f32 u 3) (.f32 (pow.f32 normAngle 3) n0_i))) (fma.f32 -1/2 (.f32 (.f32 normAngle normAngle) (.f32 (.f32 u u) n0_i)) (fma.f32 u (-.f32 n1_i (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 normAngle n0_i))) n0_i)))
(fma.f32 -1/2 (.f32 (.f32 normAngle normAngle) (.f32 (.f32 u u) n0_i)) (fma.f32 1/6 (.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 (pow.f32 normAngle 3) n0_i))) (pow.f32 u 3)) (fma.f32 u (-.f32 n1_i (.f32 (.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) n0_i)))
(fma.f32 -1/2 (.f32 normAngle (.f32 normAngle (.f32 (.f32 u u) n0_i))) (fma.f32 1/6 (.f32 (/.f32 (cos.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 (pow.f32 normAngle 3) n0_i))) (pow.f32 u 3)) (fma.f32 u (-.f32 n1_i (.f32 (/.f32 (.f32 normAngle n0_i) (sin.f32 normAngle)) (cos.f32 normAngle))) n0_i)))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (sin.f32 normAngle)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 u n1_i))

eval533.0ms (3.2%)

Compiler: Compiled 23250 to 11228 computations (51.7% saved)

prune193.0ms (1.2%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	955	13	968
Fresh	8	10	18
Picked	1	0	1
Done	1	5	6
Total	965	28	993

Error

Counts

993 → 28

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(+.f32 (.f32 (+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	22.0b	(/.f32 (.f32 (.f32 u normAngle) n1_i) (sin.f32 normAngle))
	2.8b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 1 n0_i) (+.f32 1 u)))
	0.6b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	1.1b	(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))
	0.5b	(+.f32 (.f32 (.f32 u (-.f32 (.f32 1/6 n1_i) (.f32 n0_i -1/3))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	22.0b	(/.f32 (.f32 (.f32 u n1_i) normAngle) (sin.f32 normAngle))
	17.6b	n0_i
▶	0.5b	(+.f32 (.f32 (.f32 u (+.f32 (.f32 -1/2 (.f32 u n0_i)) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	0.6b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 u n1_i))
	5.6b	(+.f32 (*.f32 n1_i u) n0_i)
	9.5b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (-.f32 n0_i (*.f32 n0_i u))) normAngle) (sin.f32 normAngle))
▶	0.8b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 (*.f32 u u)) (/.f32 1 (/.f32 (+.f32 1 u) n0_i))))
▶	14.6b	(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
	0.8b	(+.f32 (.f32 n1_i u) (-.f32 (/.f32 1 (/.f32 (+.f32 1 u) n0_i)) (/.f32 (.f32 u u) (/.f32 (+.f32 1 u) n0_i))))
	9.6b	(/.f32 (+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 normAngle (+.f32 (*.f32 -1 n1_i) n0_i))))) (sin.f32 normAngle))
	0.7b	(.f32 (+.f32 (.f32 1/6 (*.f32 normAngle normAngle)) 1) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
	0.5b	(+.f32 (.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
✓	21.9b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
✓	0.7b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	1.3b	(pow.f32 (cbrt.f32 (fma.f32 u n1_i (*.f32 (-.f32 1 u) n0_i))) 3)
✓	19.0b	(*.f32 u n1_i)
▶	0.6b	(fma.f32 u n1_i (-.f32 n0_i (*.f32 u n0_i)))
✓	0.8b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
▶	14.7b	(*.f32 (-.f32 1 u) n0_i)
	0.7b	(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (.f32 normAngle u))))) (.f32 u n1_i))
	8.9b	(+.f32 (.f32 (/.f32 (sin.f32 (/.f32 (-.f32 (.f32 normAngle normAngle) (pow.f32 (.f32 normAngle (neg.f32 u)) 2)) (-.f32 normAngle (.f32 normAngle (neg.f32 u))))) (sin.f32 normAngle)) n0_i) (*.f32 u n1_i))
	0.6b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)

Compiler

Compiled 888 to 599 computations (32.5% saved)

localize187.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 133 to 79 computations (40.6% saved)

series9.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	26
1	313	26
2	4358	26

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 n1_i 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 1/6) n1_i)) (cbrt.f32 (pow.f32 (exp.f32 1/6) n1_i)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 1/6) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 1/6) n1_i))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 1/6) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 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 (cbrt.f32 (*.f32 n1_i 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 n1_i 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 n1_i 1/6) 3) 1/3)))) (#(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 1/6) n1_i))))) (#(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 u (*.f32 n0_i (*.f32 u -1/2))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u (fma.f32 n0_i 1/3 (fma.f32 n0_i (*.f32 u -1/2) (*.f32 n1_i 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (fma.f32 n0_i (*.f32 u -1/2) (*.f32 n1_i 1/6)) u) (*.f32 (*.f32 n0_i 1/3) u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u (*.f32 n0_i (*.f32 u -1/2))) 1) (*.f32 (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u (fma.f32 n0_i (*.f32 u -1/2) (*.f32 n1_i 1/6))) (*.f32 u (*.f32 n0_i 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 u) (fma.f32 n0_i 1/3 (fma.f32 n0_i (*.f32 u -1/2) (*.f32 n1_i 1/6))))) (cbrt.f32 (pow.f32 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(*.f32 u -1/2))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 u (*.f32 n0_i (*.f32 u -1/2))) (*.f32 u (*.f32 n0_i (*.f32 u -1/2)))) (*.f32 (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))) (-.f32 (*.f32 u (*.f32 n0_i (*.f32 u -1/2))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 -1/8 (pow.f32 (*.f32 n0_i u) 3) (pow.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) 3)) u) (fma.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) (-.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) (*.f32 n0_i (*.f32 u -1/2))) (*.f32 1/4 (pow.f32 (*.f32 n0_i u) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 1/4 (pow.f32 (*.f32 n0_i u) 2)) (pow.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) 2)) u) (fma.f32 n0_i (*.f32 u -1/2) (neg.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u 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(*.f32 (cbrt.f32 (*.f32 u (*.f32 n0_i (*.f32 u -1/2)))) (cbrt.f32 (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))) (cbrt.f32 (*.f32 u (*.f32 n0_i (*.f32 u -1/2)))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) (sqrt.f32 (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 u (*.f32 n0_i (*.f32 u -1/2)))) (sqrt.f32 (*.f32 u (*.f32 n0_i (*.f32 u -1/2)))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 u) (sqrt.f32 (*.f32 n0_i (*.f32 u -1/2)))) (*.f32 (sqrt.f32 u) (sqrt.f32 (*.f32 n0_i (*.f32 u -1/2)))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (*.f32 n0_i (*.f32 u -1/2))) (sqrt.f32 u)) (*.f32 (sqrt.f32 (*.f32 n0_i (*.f32 u -1/2))) (sqrt.f32 u)) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 u) (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) (*.f32 (sqrt.f32 u) (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) (sqrt.f32 u)) (*.f32 (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) (sqrt.f32 u)) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (*.f32 n0_i u)) -1/2 (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (cbrt.f32 (*.f32 1/4 (pow.f32 (*.f32 n0_i u) 2)))) (cbrt.f32 (*.f32 n0_i (*.f32 u -1/2))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (sqrt.f32 (*.f32 n0_i (*.f32 u -1/2)))) (sqrt.f32 (*.f32 n0_i (*.f32 u -1/2))) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (*.f32 u -1/2)) n0_i (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 n0_i (*.f32 u -1/2)) (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 n0_i (*.f32 u -1/2)) (sqrt.f32 u)) (sqrt.f32 u) (*.f32 u (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (pow.f32 (cbrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) 2)) (cbrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)))) (sqrt.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6))) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (fma.f32 n0_i 1/3 (*.f32 n1_i 1/6)) (sqrt.f32 u)) (sqrt.f32 u) (*.f32 u (*.f32 n0_i (*.f32 u -1/2))))))))

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

938×	`fma-def_binary32`
743×	`fma-neg_binary32`
569×	`distribute-rgt-neg-in_binary32`
428×	`cancel-sign-sub-inv_binary32`
306×	`unsub-neg_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	748
1	99	748
2	252	586
3	646	586
4	1777	586
5	4225	586
6	6711	586

Stop Event

1×	node limit

Counts

160 → 118

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize62.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 64 to 36 computations (43.8% saved)

series12.0ms (0.1%)

Counts

4 → 96

Calls

27 calls:

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

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`log-prod_binary32`
584×	`fma-def_binary32`
293×	`fma-neg_binary32`
260×	`expm1-udef_binary32`
259×	`log1p-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	299	32
2	4443	32

Stop Event

1×	node limit

Counts

4 → 280

Calls

Call 1

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

Outputs
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simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

805×	`fma-def_binary32`
325×	`associate-l_binary32`
314×	`distribute-rgt-neg-in_binary32`
313×	`sub-neg_binary32`
276×	`distribute-rgt-out_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	1173
1	156	1146
2	386	1140
3	1171	1126
4	5090	1112

Stop Event

1×	node limit

Counts

376 → 316

Calls

Call 1

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

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)) (+.f32 (*.f32 n0_i (pow.f32 u 2)) n0_i))
(fma.f32 -1 (.f32 n0_i u) (fma.f32 n0_i (.f32 u u) n0_i))
(-.f32 (fma.f32 n0_i (.f32 u u) n0_i) (.f32 n0_i u))
(*.f32 n0_i (-.f32 (fma.f32 u u 1) u))
(fma.f32 (*.f32 n0_i u) (+.f32 -1 u) n0_i)
(+.f32 (.f32 -1 (.f32 (pow.f32 u 3) n0_i)) (+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n0_i (pow.f32 u 2)) n0_i)))
(fma.f32 -1 (.f32 n0_i (pow.f32 u 3)) (fma.f32 -1 (.f32 n0_i u) (fma.f32 n0_i (*.f32 u u) n0_i)))
(-.f32 (-.f32 (fma.f32 n0_i (.f32 u u) n0_i) (.f32 n0_i u)) (*.f32 n0_i (pow.f32 u 3)))
(-.f32 (.f32 n0_i (-.f32 (fma.f32 u u 1) u)) (.f32 n0_i (pow.f32 u 3)))
(.f32 (fma.f32 u u 1) (-.f32 n0_i (.f32 n0_i u)))
(.f32 (-.f32 n0_i (.f32 n0_i u)) (fma.f32 u u 1))
(/.f32 n0_i u)
(+.f32 (/.f32 n0_i u) (*.f32 -1 (/.f32 n0_i (pow.f32 u 2))))
(+.f32 (/.f32 n0_i u) (/.f32 (neg.f32 n0_i) (*.f32 u u)))
(-.f32 (/.f32 n0_i u) (/.f32 (/.f32 n0_i u) u))
(-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (/.f32 n0_i u) (*.f32 -1 (/.f32 n0_i (pow.f32 u 2)))))
(+.f32 (+.f32 (/.f32 n0_i u) (/.f32 (neg.f32 n0_i) (*.f32 u u))) (/.f32 n0_i (pow.f32 u 3)))
(+.f32 (-.f32 (/.f32 n0_i u) (/.f32 (/.f32 n0_i u) u)) (/.f32 n0_i (pow.f32 u 3)))
(fma.f32 (+.f32 1 (/.f32 -1 u)) (/.f32 n0_i u) (/.f32 n0_i (pow.f32 u 3)))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (.f32 -1 (/.f32 n0_i (pow.f32 u 4))) (+.f32 (/.f32 n0_i u) (.f32 -1 (/.f32 n0_i (pow.f32 u 2))))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (fma.f32 -1 (/.f32 n0_i (pow.f32 u 4)) (+.f32 (/.f32 n0_i u) (/.f32 (neg.f32 n0_i) (*.f32 u u)))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (-.f32 (-.f32 (/.f32 n0_i u) (/.f32 (/.f32 n0_i u) u)) (/.f32 n0_i (pow.f32 u 4))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (-.f32 (/.f32 n0_i u) (+.f32 (/.f32 (/.f32 n0_i u) u) (/.f32 n0_i (pow.f32 u 4)))))
(-.f32 (fma.f32 (+.f32 1 (/.f32 -1 u)) (/.f32 n0_i u) (/.f32 n0_i (pow.f32 u 3))) (/.f32 n0_i (pow.f32 u 4)))
(*.f32 (+.f32 1 (/.f32 -1 u)) (+.f32 (/.f32 n0_i u) (/.f32 n0_i (pow.f32 u 3))))
(/.f32 n0_i u)
(+.f32 (/.f32 n0_i u) (*.f32 -1 (/.f32 n0_i (pow.f32 u 2))))
(+.f32 (/.f32 n0_i u) (/.f32 (neg.f32 n0_i) (*.f32 u u)))
(-.f32 (/.f32 n0_i u) (/.f32 (/.f32 n0_i u) u))
(-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (/.f32 n0_i u) (*.f32 -1 (/.f32 n0_i (pow.f32 u 2)))))
(+.f32 (+.f32 (/.f32 n0_i u) (/.f32 (neg.f32 n0_i) (*.f32 u u))) (/.f32 n0_i (pow.f32 u 3)))
(+.f32 (-.f32 (/.f32 n0_i u) (/.f32 (/.f32 n0_i u) u)) (/.f32 n0_i (pow.f32 u 3)))
(fma.f32 (+.f32 1 (/.f32 -1 u)) (/.f32 n0_i u) (/.f32 n0_i (pow.f32 u 3)))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (+.f32 (.f32 -1 (/.f32 n0_i (pow.f32 u 4))) (+.f32 (/.f32 n0_i u) (.f32 -1 (/.f32 n0_i (pow.f32 u 2))))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (fma.f32 -1 (/.f32 n0_i (pow.f32 u 4)) (+.f32 (/.f32 n0_i u) (/.f32 (neg.f32 n0_i) (*.f32 u u)))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (-.f32 (-.f32 (/.f32 n0_i u) (/.f32 (/.f32 n0_i u) u)) (/.f32 n0_i (pow.f32 u 4))))
(+.f32 (/.f32 n0_i (pow.f32 u 3)) (-.f32 (/.f32 n0_i u) (+.f32 (/.f32 (/.f32 n0_i u) u) (/.f32 n0_i (pow.f32 u 4)))))
(-.f32 (fma.f32 (+.f32 1 (/.f32 -1 u)) (/.f32 n0_i u) (/.f32 n0_i (pow.f32 u 3))) (/.f32 n0_i (pow.f32 u 4)))
(*.f32 (+.f32 1 (/.f32 -1 u)) (+.f32 (/.f32 n0_i u) (/.f32 n0_i (pow.f32 u 3))))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 u 1))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 u 1))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 u 1))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 u 1))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 u 1))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 u 1))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 u 1))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 u 1))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 u 1))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 u 1))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 u 1))
(/.f32 n0_i (+.f32 1 u))
(/.f32 n0_i (+.f32 u 1))
(/.f32 1 n0_i)
(+.f32 (/.f32 1 n0_i) (/.f32 u n0_i))
(+.f32 (/.f32 1 n0_i) (/.f32 u n0_i))
(+.f32 (/.f32 1 n0_i) (/.f32 u n0_i))
(/.f32 u n0_i)
(+.f32 (/.f32 1 n0_i) (/.f32 u n0_i))
(+.f32 (/.f32 1 n0_i) (/.f32 u n0_i))
(+.f32 (/.f32 1 n0_i) (/.f32 u n0_i))
(/.f32 u n0_i)
(+.f32 (/.f32 1 n0_i) (/.f32 u n0_i))
(+.f32 (/.f32 1 n0_i) (/.f32 u n0_i))
(+.f32 (/.f32 1 n0_i) (/.f32 u n0_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 n0_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(fma.f32 -1 (*.f32 n0_i u) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(fma.f32 -1 (*.f32 n0_i u) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(.f32 -1 (.f32 u n0_i))
(neg.f32 (*.f32 n0_i u))
(*.f32 u (neg.f32 n0_i))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(fma.f32 -1 (*.f32 n0_i u) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(fma.f32 -1 (*.f32 n0_i u) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(fma.f32 -1 (*.f32 n0_i u) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(.f32 -1 (.f32 u n0_i))
(neg.f32 (*.f32 n0_i u))
(*.f32 u (neg.f32 n0_i))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(fma.f32 -1 (*.f32 n0_i u) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(fma.f32 -1 (*.f32 n0_i u) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(fma.f32 -1 (*.f32 n0_i u) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u))))
(.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u)))
(.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)))
(*.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u))))
(.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u)))
(.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)))
(*.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u))))
(.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u)))
(.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)))
(*.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u))))
(.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u)))
(.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)))
(*.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u))))
(.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u)))
(.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)))
(*.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u))))
(.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u)))
(.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)))
(*.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u))))
(.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u)))
(.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)))
(*.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u))))
(.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u)))
(.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)))
(*.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u))))
(.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u)))
(.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)))
(*.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u))))
(.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u)))
(.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)))
(*.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u))))
(.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u)))
(.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)))
(*.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u))))
(.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u)))
(.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)))
(*.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u))))
(.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u)))
(.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)))
(*.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (pow.f32 u 2)) n0_i) (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (pow.f32 u 2)) n0_i) (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (pow.f32 u 2)) n0_i) (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (pow.f32 u 2)) n0_i) (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (pow.f32 u 2)) n0_i) (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (pow.f32 u 2)) n0_i) (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (pow.f32 u 2)) n0_i) (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (pow.f32 u 2)) n0_i) (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (pow.f32 u 2)) n0_i) (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))
n0_i
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) 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 u (-.f32 n1_i n0_i))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 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 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 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 n0_i))
(+.f32 (.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i))) 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 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 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 n1_i u) (.f32 (-.f32 (/.f32 1 (+.f32 1 u)) (/.f32 (pow.f32 u 2) (+.f32 1 u))) n0_i))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (/.f32 1 (+.f32 1 u)) (/.f32 (pow.f32 u 2) (+.f32 1 u))) n0_i))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (/.f32 1 (+.f32 1 u)) (/.f32 (pow.f32 u 2) (+.f32 1 u))) n0_i))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))
(*.f32 (-.f32 (/.f32 1 (+.f32 1 u)) (/.f32 (pow.f32 u 2) (+.f32 1 u))) n0_i)
(/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u))))
(.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u)))
(.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)))
(*.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (/.f32 1 (+.f32 1 u)) (/.f32 (pow.f32 u 2) (+.f32 1 u))) n0_i))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (/.f32 1 (+.f32 1 u)) (/.f32 (pow.f32 u 2) (+.f32 1 u))) n0_i))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (/.f32 1 (+.f32 1 u)) (/.f32 (pow.f32 u 2) (+.f32 1 u))) n0_i))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))
(/.f32 (*.f32 n0_i (-.f32 1 (pow.f32 u 2))) (+.f32 1 u))
(/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u))))
(.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u)))
(.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)))
(*.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (pow.f32 u 2)) n0_i) (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (pow.f32 u 2)) n0_i) (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (pow.f32 u 2)) n0_i) (+.f32 1 u)))
(fma.f32 n1_i u (/.f32 n0_i (/.f32 (+.f32 u 1) (-.f32 1 (*.f32 u u)))))
(fma.f32 u n1_i (.f32 (/.f32 n0_i (+.f32 u 1)) (-.f32 1 (.f32 u u))))
(fma.f32 n0_i (/.f32 (-.f32 1 (.f32 u u)) (+.f32 u 1)) (.f32 u n1_i))
(fma.f32 (/.f32 n0_i (+.f32 u 1)) (fma.f32 u (neg.f32 u) 1) (*.f32 u n1_i))
(fma.f32 n0_i (/.f32 (fma.f32 u (neg.f32 u) 1) (+.f32 u 1)) (*.f32 u n1_i))

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series11.0ms (0.1%)

Counts

3 → 72

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	u	@	inf	(-.f32 n0_i (*.f32 u n0_i))
1.0ms	n0_i	@	0	(-.f32 n0_i (*.f32 u n0_i))
0.0ms	n1_i	@	-inf	(fma.f32 u n1_i (-.f32 n0_i (*.f32 u n0_i)))
0.0ms	n1_i	@	0	(fma.f32 u n1_i (-.f32 n0_i (*.f32 u n0_i)))
0.0ms	n0_i	@	-inf	(-.f32 n0_i (*.f32 u n0_i))

rewrite65.0ms (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	2146	22

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

Outputs

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

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

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

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	472
1	77	472
2	141	472
3	383	472
4	823	472
5	1114	472
6	1223	472
7	1226	472

Stop Event

1×

saturated

Counts

146 → 94

Calls

Call 1

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

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

localize67.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
	0.1b	(-.f32 normAngle (*.f32 u normAngle))
✓	0.2b	(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
	0.3b	(/.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (sin.f32 normAngle))

Compiler

Compiled 43 to 10 computations (76.7% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

15 calls:

Time	Variable		Expression
0.0ms	normAngle	@	(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
0.0ms	normAngle	@	(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
0.0ms	u	@	(sin.f32 (-.f32 normAngle (*.f32 u normAngle)))
0.0ms	n0_i	@	(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
0.0ms	u	@	(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))

rewrite119.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`prod-diff_binary32`
635×	`log-prod_binary32`
320×	`pow2_binary32`
286×	`fma-def_binary32`
223×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	224	26
2	3252	26

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

600×	`fma-def_binary32`
590×	`fma-neg_binary32`
456×	`cancel-sign-sub-inv_binary32`
439×	`distribute-rgt-neg-out_binary32`
388×	`distribute-lft-neg-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	1208
1	343	1152
2	1223	1129
3	4305	1127

Stop Event

1×	node limit

Counts

150 → 137

Calls

Call 1

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

eval591.0ms (3.5%)

Compiler: Compiled 21352 to 10334 computations (51.6% saved)

prune249.0ms (1.5%)

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	925	13	938
Fresh	5	13	18
Picked	0	1	1
Done	3	6	9
Total	933	33	966

Error

Counts

966 → 33

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(+.f32 (.f32 (+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	22.0b	(/.f32 (.f32 (.f32 u normAngle) n1_i) (sin.f32 normAngle))
	2.8b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 1 n0_i) (+.f32 1 u)))
	0.5b	(+.f32 (.f32 (.f32 u (-.f32 (.f32 1/6 n1_i) (.f32 n0_i -1/3))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	22.0b	(/.f32 (.f32 (.f32 u n1_i) normAngle) (sin.f32 normAngle))
	0.6b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 u n1_i))
	5.6b	(+.f32 (*.f32 n1_i u) n0_i)
	1.3b	(pow.f32 (cbrt.f32 (fma.f32 u n1_i (-.f32 n0_i (*.f32 n0_i u)))) 3)
	8.9b	(+.f32 (.f32 (/.f32 (sin.f32 (/.f32 (-.f32 (.f32 normAngle normAngle) (pow.f32 (.f32 normAngle (neg.f32 u)) 2)) (-.f32 normAngle (.f32 normAngle (neg.f32 u))))) (sin.f32 normAngle)) n0_i) (*.f32 u n1_i))
	9.5b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (-.f32 n0_i (*.f32 n0_i u))) normAngle) (sin.f32 normAngle))
✓	14.6b	(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
	17.6b	n0_i
	0.7b	(+.f32 (.f32 (.f32 (+.f32 (.f32 -1/2 u) 1/3) (.f32 n0_i u)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
	0.6b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
	0.8b	(+.f32 (.f32 n1_i u) (-.f32 (/.f32 1 (/.f32 (+.f32 1 u) n0_i)) (/.f32 (.f32 u u) (/.f32 (+.f32 1 u) n0_i))))
	9.6b	(/.f32 (+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 normAngle (+.f32 (*.f32 -1 n1_i) n0_i))))) (sin.f32 normAngle))
	0.7b	(.f32 (+.f32 (.f32 1/6 (*.f32 normAngle normAngle)) 1) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
	0.8b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 (*.f32 u u)) (/.f32 1 (+.f32 (/.f32 1 n0_i) (/.f32 u n0_i)))))
	0.6b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	14.6b	(-.f32 n0_i (*.f32 n0_i u))
	0.5b	(+.f32 (.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
✓	21.9b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
✓	0.7b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	0.5b	(+.f32 (.f32 (.f32 n1_i (.f32 1/6 u)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
✓	19.0b	(*.f32 u n1_i)
✓	0.6b	(fma.f32 u n1_i (-.f32 n0_i (*.f32 u n0_i)))
	5.5b	(fma.f32 u n1_i n0_i)
✓	14.7b	(*.f32 (-.f32 1 u) n0_i)
	0.6b	(-.f32 (+.f32 (.f32 u n1_i) n0_i) (.f32 n0_i u))
	0.7b	(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (.f32 normAngle u))))) (.f32 u n1_i))
	29.4b	(*.f32 n0_i (neg.f32 u))
	1.1b	(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))
	0.8b	(+.f32 (*.f32 n1_i u) (/.f32 (-.f32 1 u) (/.f32 1 n0_i)))

Compiler

Compiled 545 to 368 computations (32.5% saved)

regimes271.0ms (1.6%)

Counts

63 → 1

Calls

Call 1

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

Calls

5 calls:

78.0ms	n1_i
33.0ms	(+.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))
33.0ms	n0_i
32.0ms	u
32.0ms	normAngle

Results

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

Compiler

Compiled 906 to 414 computations (54.3% saved)

regimes183.0ms (1.1%)

Counts

49 → 1

Calls

Call 1

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

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

Calls

4 calls:

58.0ms	u
37.0ms	n0_i
26.0ms	n1_i
22.0ms	normAngle

Results

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

Compiler

Compiled 588 to 260 computations (55.8% saved)

regimes154.0ms (0.9%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

4 calls:

56.0ms	n1_i
48.0ms	normAngle
21.0ms	u
18.0ms	n0_i

Results

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

Compiler

Compiled 411 to 191 computations (53.5% saved)

regimes126.0ms (0.8%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	n1_i
34.0ms	n0_i
18.0ms	u
18.0ms	normAngle

Results

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

Compiler

Compiled 365 to 163 computations (55.3% saved)

regimes125.0ms (0.7%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

4 calls:

45.0ms	u
35.0ms	normAngle
21.0ms	n0_i
17.0ms	n1_i

Results

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

Compiler

Compiled 323 to 139 computations (57% saved)

regimes109.0ms (0.7%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

4 calls:

48.0ms	normAngle
31.0ms	n1_i
13.0ms	n0_i
11.0ms	u

Results

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

Compiler

Compiled 197 to 98 computations (50.3% saved)

regimes34.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	n1_i
6.0ms	u
6.0ms	normAngle
5.0ms	n0_i

Results

Error	Segments	Branch
5.6b	1	`normAngle`
5.6b	1	`u`
5.6b	1	`n0_i`
4.2b	3	`n1_i`

Compiler

Compiled 49 to 30 computations (38.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	3.277312856646226e-28	5.4133687394621575e-28
0.0ms	-1.2618814306642174e-31	-1.6528213174521458e-32

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes99.0ms (0.6%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	n1_i
35.0ms	u
14.0ms	n0_i
5.0ms	normAngle

Results

Error	Segments	Branch
14.6b	1	`normAngle`
13.5b	2	`u`
9.0b	3	`n0_i`
10.1b	3	`n1_i`

Compiler

Compiled 39 to 25 computations (35.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	2.1810761573435253e-24	2.3348243589101953e-24
0.0ms	-9.728594770341014e-24	-9.633165477775523e-24

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes81.0ms (0.5%)

Counts

5 → 3

Calls

Call 1

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

Outputs
n0_i
(*.f32 u n1_i)
n0_i

Calls

4 calls:

35.0ms	u
18.0ms	n0_i
14.0ms	n1_i
13.0ms	normAngle

Results

Error	Segments	Branch
16.4b	3	`normAngle`
15.0b	2	`u`
11.5b	3	`n0_i`
12.6b	3	`n1_i`

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	6.365440570569855e-22	2.820604907500738e-21
0.0ms	-9.728594770341014e-24	-9.633165477775523e-24

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes16.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
n0_i
n0_i
n0_i

Outputs
n0_i

Calls

4 calls:

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

Results

Error	Segments	Branch
17.6b	1	`normAngle`
17.6b	1	`u`
17.6b	1	`n0_i`
17.6b	1	`n1_i`

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

25×	`*-commutative_binary32`
20×	`+-commutative_binary32`
9×	`sub-neg_binary32`
4×	`distribute-rgt-neg-in_binary32`
4×	`cancel-sign-sub-inv_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	257
1	123	257
2	144	257
3	152	257
4	156	257

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f32 (.f32 (+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (.f32 u (+.f32 (.f32 -1/2 (.f32 u n0_i)) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (.f32 u (-.f32 (.f32 1/6 n1_i) (.f32 n0_i -1/3))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (.f32 n1_i (.f32 1/6 u)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(if (<=.f32 n1_i -8507059/85070591730234615865843651857942052864) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 5192297/10384593717069655257060992658440192) (-.f32 n0_i (.f32 n0_i u)) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n0_i -12296211/1267650600228229401496703205376) (-.f32 n0_i (.f32 n0_i u)) (if (<=.f32 n0_i 11155325/5070602400912917605986812821504) (.f32 u n1_i) (-.f32 n0_i (*.f32 n0_i u))))
(if (<=.f32 n0_i -12296211/1267650600228229401496703205376) n0_i (if (<=.f32 n0_i 309485/309485009821345068724781056) (*.f32 u n1_i) n0_i))
n0_i

Outputs
(+.f32 (.f32 (+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (+.f32 (.f32 n0_i (.f32 u (+.f32 1/2 (.f32 u -1/2)))) (.f32 (-.f32 n1_i n0_i) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (pow.f32 normAngle 2)) (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u))))
(+.f32 (.f32 (.f32 u (+.f32 (.f32 -1/2 (.f32 u n0_i)) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u))) (.f32 (pow.f32 normAngle 2) (.f32 u (+.f32 (.f32 -1/2 (.f32 n0_i u)) (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6))))))
(+.f32 (.f32 (.f32 u (-.f32 (.f32 1/6 n1_i) (.f32 n0_i -1/3))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u))) (.f32 (pow.f32 normAngle 2) (.f32 u (-.f32 (.f32 n1_i 1/6) (.f32 n0_i -1/3)))))
(+.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u))) (.f32 (pow.f32 normAngle 2) (.f32 u (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6)))))
(+.f32 (.f32 (.f32 n1_i (.f32 1/6 u)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u))) (.f32 (pow.f32 normAngle 2) (.f32 n1_i (*.f32 u 1/6))))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n1_i -8507059/85070591730234615865843651857942052864) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 5192297/10384593717069655257060992658440192) (-.f32 n0_i (.f32 n0_i u)) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -8507059/85070591730234615865843651857942052864) (+.f32 n0_i (.f32 u n1_i)) (if (<=.f32 n1_i 5192297/10384593717069655257060992658440192) (-.f32 n0_i (.f32 n0_i u)) (+.f32 n0_i (*.f32 u n1_i))))
(if (<=.f32 n0_i -12296211/1267650600228229401496703205376) (-.f32 n0_i (.f32 n0_i u)) (if (<=.f32 n0_i 11155325/5070602400912917605986812821504) (.f32 u n1_i) (-.f32 n0_i (*.f32 n0_i u))))
(if (<=.f32 n0_i -12296211/1267650600228229401496703205376) n0_i (if (<=.f32 n0_i 309485/309485009821345068724781056) (*.f32 u n1_i) n0_i))
n0_i

Compiler

Compiled 217 to 140 computations (35.5% saved)

soundness645.0ms (3.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	38	31
2	88	31
3	177	26
4	266	26
5	317	26
6	387	26
7	491	26
8	753	26
9	889	26
10	1093	26
11	1790	26
12	4011	26
13	5871	26
14	6509	26
15	7205	26
16	7860	26
0	110	2069
1	364	1871
2	1174	1672
3	4556	1625

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 3653 to 2723 computations (25.5% saved)

end86.0ms (0.5%)

Compiler: Compiled 181 to 93 computations (48.6% saved)