Details

analyze755.0ms (4.3%)

Algorithm

1×

Search

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

Compiler

Compiled 62 to 45 computations (27.4% saved)

sample6.1s (35.2%)

Results

5.0s	8256×	body	256	valid
1.1s	2094×	body	256	invalid

preprocess153.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify104.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.3b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
▶	1.0b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))

Status

Error

Program

▶

8.3b

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

▶

1.0b

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

Compiler

Compiled 50 to 32 computations (36% saved)

localize132.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f32 (-.f32 1 u) normAngle)
✓	0.2b	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
✓	0.5b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
✓	2.0b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))

Compiler

Compiled 105 to 54 computations (48.6% saved)

series24.0ms (0.1%)

Counts

4 → 96

Calls

27 calls:

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

rewrite79.0ms (0.5%)

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)))))))

simplify96.0ms (0.6%)

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))

localize80.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f32 normAngle (*.f32 u normAngle))
✓	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
✓	0.1b	(fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
✓	8.2b	(/.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)

series30.0ms (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	n0_i	@	inf	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
2.0ms	normAngle	@	0	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
2.0ms	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))

rewrite126.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

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

simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

325 → 256

Calls

Call 1

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

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

eval249.0ms (1.4%)

Compiler: Compiled 12775 to 5266 computations (58.8% saved)

prune118.0ms (0.7%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	402	21	423
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	403	22	425

Error

0.0b

Counts

425 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	3.7b	(+.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))))))))
✓	8.3b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	0.8b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
	0.9b	(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
▶	0.7b	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
▶	1.0b	(+.f32 (.f32 (/.f32 1 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u))))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	1.0b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) 2) n1_i))
	8.6b	(/.f32 (+.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))) (sin.f32 normAngle))
▶	0.8b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	1.1b	(+.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	8.9b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	4.0b	(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle))))))
▶	8.4b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 n1_i (*.f32 u normAngle))) (sin.f32 normAngle))
	12.6b	(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
	17.0b	n0_i
	16.8b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
▶	7.0b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	22.6b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	1.0b	(+.f32 (.f32 (expm1.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	1.1b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	8.3b	(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)
	8.3b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))

Compiler

Compiled 1000 to 658 computations (34.2% saved)

localize25.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

21 calls:

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

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

Outputs

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

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

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

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

146 → 93

Calls

Call 1

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

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

localize55.0ms (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)

series8.0ms (0%)

Counts

3 → 30

Calls

21 calls:

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

rewrite95.0ms (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)))))))

simplify39.0ms (0.2%)

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))

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f32 (*.f32 u normAngle))
✓	0.0b	(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i)
✓	0.1b	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	2.0b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))

Compiler

Compiled 55 to 22 computations (60% saved)

series14.0ms (0.1%)

Counts

3 → 92

Calls

27 calls:

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

rewrite98.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

Inputs

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

(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i)

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

Outputs

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

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

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

simplify131.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

522×	`associate-l_binary32`
465×	`associate-r_binary32`
436×	`fma-def_binary32`
408×	`distribute-rgt-in_binary32`
381×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	2006
1	295	1930
2	952	1828
3	4428	1774

Stop Event

1×	node limit

Counts

200 → 148

Calls

Call 1

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

localize67.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f32 normAngle (*.f32 u normAngle))
✓	0.1b	(.f32 n1_i (.f32 u normAngle))
✓	0.1b	(fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 n1_i (*.f32 u normAngle)))
✓	8.2b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 n1_i (*.f32 u normAngle))) (sin.f32 normAngle))

Compiler

Compiled 58 to 11 computations (81% saved)

series42.0ms (0.2%)

Counts

3 → 96

Calls

33 calls:

Time	Variable		Point	Expression
12.0ms	u	@	-inf	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 n1_i (*.f32 u normAngle))) (sin.f32 normAngle))
2.0ms	n1_i	@	0	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 n1_i (*.f32 u normAngle))) (sin.f32 normAngle))
2.0ms	normAngle	@	0	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 n1_i (*.f32 u normAngle))) (sin.f32 normAngle))
1.0ms	normAngle	@	-inf	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 n1_i (*.f32 u normAngle))) (sin.f32 normAngle))
1.0ms	normAngle	@	inf	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 n1_i (*.f32 u normAngle))) (sin.f32 normAngle))

rewrite115.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify164.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

186 → 134

Calls

Call 1

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

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

localize195.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (/.f32 1 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u))))) n0_i)
✓	0.2b	(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 1 u))))
✓	0.4b	(/.f32 1 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
	2.0b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))

Compiler

Compiled 114 to 59 computations (48.2% saved)

series21.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

654×	`log-prod_binary32`
409×	`prod-diff_binary32`
331×	`pow2_binary32`
242×	`pow-unpow_binary32`
234×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	254	45
2	3373	45

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

574×	`distribute-rgt-in_binary32`
558×	`distribute-lft-in_binary32`
440×	`*-commutative_binary32`
351×	`associate-+l+_binary32`
277×	`associate-+r+_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	2277
1	568	2190
2	2035	2147

Stop Event

1×	node limit

Counts

203 → 167

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

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

eval461.0ms (2.6%)

Compiler: Compiled 21881 to 9667 computations (55.8% saved)

prune271.0ms (1.6%)

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	890	23	913
Fresh	9	7	16
Picked	1	0	1
Done	2	3	5
Total	902	33	935

Error

0.0b

Counts

935 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	22.7b	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
▶	6.2b	(fma.f32 n1_i u (/.f32 (-.f32 (.f32 n0_i n0_i) (.f32 (.f32 u (neg.f32 n0_i)) (.f32 u (neg.f32 n0_i)))) (-.f32 n0_i (*.f32 u (neg.f32 n0_i)))))
	3.7b	(+.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))))))))
	21.0b	(+.f32 (.f32 n1_i u) (.f32 n0_i (neg.f32 u)))
✓	8.3b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
✓	0.7b	(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
▶	8.4b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
	9.6b	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
▶	0.8b	(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
	8.6b	(/.f32 (+.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))) (sin.f32 normAngle))
✓	0.8b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	17.0b	n0_i
	7.8b	(/.f32 (-.f32 (.f32 (.f32 n1_i u) (.f32 n1_i u)) (pow.f32 (-.f32 n0_i (.f32 u n0_i)) 2)) (-.f32 (.f32 n1_i u) (-.f32 n0_i (.f32 u n0_i))))
	6.9b	(+.f32 n0_i (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
	0.7b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	22.6b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	12.6b	(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
	8.4b	(pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 normAngle (.f32 u n1_i) (.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i))) -1)
	8.9b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	12.7b	(-.f32 n0_i (*.f32 u n0_i))
	8.3b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	1.0b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
	21.0b	(*.f32 (-.f32 n1_i n0_i) u)
	6.7b	(fma.f32 u n1_i n0_i)
	0.7b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
▶	20.5b	(*.f32 u n1_i)
▶	0.4b	(+.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)))
	1.1b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	0.9b	(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	12.8b	(*.f32 (-.f32 1 u) n0_i)
	18.1b	(+.f32 (pow.f32 (sqrt.f32 (.f32 u n1_i)) 2) (.f32 (-.f32 1 u) n0_i))
	16.8b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
	6.7b	(+.f32 (*.f32 n1_i u) n0_i)

Compiler

Compiled 1149 to 734 computations (36.1% saved)

localize248.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 -1/6 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
✓	0.4b	(.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))
✓	0.5b	(pow.f32 (-.f32 1 u) 3)
✓	7.8b	(-.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))))

Compiler

Compiled 179 to 116 computations (35.2% saved)

series21.0ms (0.1%)

Counts

4 → 96

Calls

27 calls:

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

rewrite141.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`log-prod_binary32`
487×	`fma-neg_binary32`
316×	`expm1-udef_binary32`
315×	`log1p-udef_binary32`
250×	`log-pow_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	60
1	374	60
2	5177	60

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

Inputs
(-.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 (-.f32 1 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)))

Outputs
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simplify101.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-neg_binary32`
569×	`fma-def_binary32`
558×	`distribute-rgt-in_binary32`
514×	`distribute-lft-in_binary32`
360×	`cancel-sign-sub-inv_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1786
1	282	1677
2	848	1474
3	2898	1451

Stop Event

1×	node limit

Counts

270 → 230

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (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))))))

simplify8.0ms (0%)

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)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series5.0ms (0%)

Counts

2 → 45

Calls

18 calls:

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

rewrite128.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`fma-def_binary32`
504×	`log-prod_binary32`
384×	`pow-prod-down_binary32`
269×	`fma-neg_binary32`
260×	`pow2_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	185	16
2	2849	16

Stop Event

1×	node limit

Counts

2 → 213

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	369
1	72	288
2	136	288
3	379	288
4	826	288
5	1116	288
6	1225	288
7	1228	288

Stop Event

1×

saturated

Counts

258 → 228

Calls

Call 1

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

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

localize119.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f32 n1_i u (/.f32 (-.f32 (.f32 n0_i n0_i) (.f32 (.f32 u (neg.f32 n0_i)) (.f32 u (neg.f32 n0_i)))) (-.f32 n0_i (*.f32 u (neg.f32 n0_i)))))
✓	0.1b	(-.f32 (.f32 n0_i n0_i) (.f32 (.f32 u (neg.f32 n0_i)) (.f32 u (neg.f32 n0_i))))
✓	0.2b	(.f32 (.f32 u (neg.f32 n0_i)) (*.f32 u (neg.f32 n0_i)))
✓	12.0b	(/.f32 (-.f32 (.f32 n0_i n0_i) (.f32 (.f32 u (neg.f32 n0_i)) (.f32 u (neg.f32 n0_i)))) (-.f32 n0_i (*.f32 u (neg.f32 n0_i))))

Compiler

Compiled 87 to 12 computations (86.2% saved)

series41.0ms (0.2%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
19.0ms	n1_i	@	0	(fma.f32 n1_i u (/.f32 (-.f32 (.f32 n0_i n0_i) (.f32 (.f32 u (neg.f32 n0_i)) (.f32 u (neg.f32 n0_i)))) (-.f32 n0_i (*.f32 u (neg.f32 n0_i)))))
3.0ms	n0_i	@	0	(/.f32 (-.f32 (.f32 n0_i n0_i) (.f32 (.f32 u (neg.f32 n0_i)) (.f32 u (neg.f32 n0_i)))) (-.f32 n0_i (*.f32 u (neg.f32 n0_i))))
2.0ms	n0_i	@	inf	(/.f32 (-.f32 (.f32 n0_i n0_i) (.f32 (.f32 u (neg.f32 n0_i)) (.f32 u (neg.f32 n0_i)))) (-.f32 n0_i (*.f32 u (neg.f32 n0_i))))
2.0ms	n0_i	@	-inf	(/.f32 (-.f32 (.f32 n0_i n0_i) (.f32 (.f32 u (neg.f32 n0_i)) (.f32 u (neg.f32 n0_i)))) (-.f32 n0_i (*.f32 u (neg.f32 n0_i))))
2.0ms	u	@	0	(/.f32 (-.f32 (.f32 n0_i n0_i) (.f32 (.f32 u (neg.f32 n0_i)) (.f32 u (neg.f32 n0_i)))) (-.f32 n0_i (*.f32 u (neg.f32 n0_i))))

rewrite252.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`log-prod_binary32`
655×	`fma-def_binary32`
293×	`fma-neg_binary32`
240×	`egg-rr`
201×	`expm1-udef_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	80
1	288	35
2	4948	29

Stop Event

1×	node limit

Counts

4 → 478

Calls

Call 1

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

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

simplify205.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-neg_binary32`
554×	`associate-/l*_binary32`
429×	`fma-def_binary32`
384×	`associate-/r*_binary32`
333×	`distribute-frac-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	1787
1	140	1640
2	323	1568
3	1175	1316
4	5288	1316

Stop Event

1×	node limit

Counts

586 → 510

Calls

Call 1

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

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

localize165.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 normAngle (.f32 u n1_i)))
✓	0.1b	(.f32 normAngle (.f32 u n1_i))
✓	0.1b	(.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i)
✓	8.2b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))

Compiler

Compiled 71 to 13 computations (81.7% saved)

series25.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
9.0ms	normAngle	@	-inf	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
1.0ms	normAngle	@	0	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
1.0ms	n0_i	@	0	(.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i)
1.0ms	n0_i	@	inf	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
1.0ms	n0_i	@	-inf	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))

rewrite103.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

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

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

simplify138.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

550×	`fma-neg_binary32`
466×	`distribute-rgt-neg-out_binary32`
455×	`cancel-sign-sub-inv_binary32`
387×	`unsub-neg_binary32`
385×	`*-commutative_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	3459
1	477	3428
2	1700	3377
3	4669	3313

Stop Event

1×	node limit

Counts

310 → 200

Calls

Call 1

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

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

eval711.0ms (4.1%)

Compiler: Compiled 32757 to 13729 computations (58.1% saved)

prune413.0ms (2.4%)

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	1215	18	1233
Fresh	10	15	25
Picked	1	0	1
Done	3	4	7
Total	1229	37	1266

Error

0.0b

Counts

1266 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	8.4b	(pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 normAngle (.f32 u n1_i) (.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i))) -1)
	0.5b	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 u (-.f32 (.f32 u (.f32 n0_i -1/2)) (-.f32 (.f32 n0_i -1/3) (.f32 n1_i 1/6)))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i)))
▶	1.1b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	0.5b	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i)))
✓	8.3b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	3.7b	(+.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))))))))
	21.0b	(+.f32 (.f32 n1_i u) (.f32 n0_i (neg.f32 u)))
	0.7b	(-.f32 (fma.f32 u n1_i n0_i) (*.f32 u n0_i))
	0.9b	(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	9.6b	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
✓	0.8b	(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
	8.6b	(/.f32 (+.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))) (sin.f32 normAngle))
✓	0.8b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	17.0b	n0_i
	8.3b	(fma.f32 n1_i u (/.f32 (.f32 n0_i n0_i) (-.f32 n0_i (.f32 u (neg.f32 n0_i)))))
	0.6b	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 n1_i (.f32 u 1/6)) (pow.f32 normAngle 2)) (*.f32 (-.f32 1 u) n0_i)))
	7.9b	(-.f32 (.f32 (-.f32 (pow.f32 (.f32 n1_i u) 2) (.f32 n0_i n0_i)) (/.f32 1 (-.f32 (.f32 n1_i u) n0_i))) (*.f32 u n0_i))
▶	12.8b	(*.f32 (-.f32 1 u) n0_i)
▶	0.4b	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (+.f32 1 (.f32 u (+.f32 -3 (.f32 u (-.f32 3 u))))) 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)))
	6.9b	(+.f32 n0_i (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
▶	6.2b	(fma.f32 n1_i u (/.f32 (.f32 n0_i (.f32 n0_i (-.f32 1 (.f32 u u)))) (-.f32 n0_i (.f32 u (neg.f32 n0_i)))))
	22.6b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	12.7b	(-.f32 n0_i (*.f32 u n0_i))
	8.3b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	1.0b	(+.f32 (.f32 n1_i u) (/.f32 (.f32 (-.f32 1 (*.f32 u u)) n0_i) (+.f32 1 u)))
✓	20.5b	(*.f32 u n1_i)
▶	0.7b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
	8.9b	(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
	21.0b	(*.f32 (-.f32 n1_i n0_i) u)
	6.7b	(fma.f32 u n1_i n0_i)
	12.6b	(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
	0.7b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	6.7b	(+.f32 (*.f32 n1_i u) n0_i)
	22.7b	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
	8.9b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	0.5b	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 n0_i (+.f32 -1/6 (.f32 u (+.f32 (.f32 u -1/2) 1/2)))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (*.f32 (-.f32 1 u) n0_i)))
	16.8b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))

Compiler

Compiled 1385 to 912 computations (34.2% saved)

localize221.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f32 u (-.f32 3 u))
	0.4b	(.f32 -1/6 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
✓	0.4b	(.f32 -1/6 (.f32 (+.f32 1 (.f32 u (+.f32 -3 (.f32 u (-.f32 3 u))))) n0_i))
✓	7.8b	(-.f32 (.f32 -1/6 (.f32 (+.f32 1 (.f32 u (+.f32 -3 (.f32 u (-.f32 3 u))))) n0_i)) (.f32 -1/6 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))))

Compiler

Compiled 246 to 161 computations (34.6% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

439×	`log1p-udef_binary32`
258×	`add-sqr-sqrt_binary32`
250×	`*-un-lft-identity_binary32`
250×	`pow1_binary32`
240×	`add-cbrt-cube_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	64
1	499	56
2	7327	56

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs

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

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

(*.f32 u (-.f32 3 u))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u 3) (*.f32 (neg.f32 u) u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u 3) (*.f32 u (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u (-.f32 3 u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 27 (pow.f32 u 3)) u) (+.f32 9 (*.f32 u (+.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 9 (*.f32 u u)) u) (+.f32 u 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (-.f32 27 (pow.f32 u 3))) (+.f32 9 (*.f32 u (+.f32 u 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (-.f32 9 (*.f32 u u))) (+.f32 u 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u (-.f32 3 u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u (-.f32 3 u))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u (-.f32 3 u))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u (-.f32 3 u)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 u (-.f32 3 u)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u) (-.f32 3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u (-.f32 3 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u (-.f32 3 u)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u (-.f32 3 u))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u (-.f32 3 u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u (-.f32 3 u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u (-.f32 3 u))) 1))))))

simplify94.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

544×	`distribute-rgt-in_binary32`
499×	`distribute-lft-in_binary32`
461×	`fma-neg_binary32`
435×	`fma-def_binary32`
371×	`associate-+l+_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	1616
1	241	1480
2	699	1328
3	2434	1247
4	7953	1247

Stop Event

1×	node limit

Counts

158 → 125

Calls

Call 1

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

Outputs
(.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i)))) u)
(.f32 (+.f32 (.f32 1/2 n0_i) (*.f32 1/6 (+.f32 n1_i (neg.f32 n0_i)))) u)
(.f32 (fma.f32 1/2 n0_i (.f32 (-.f32 n1_i n0_i) 1/6)) u)
(.f32 u (fma.f32 -1/6 (-.f32 n0_i n1_i) (.f32 1/2 n0_i)))
(.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 (+.f32 (.f32 1/2 n0_i) (*.f32 1/6 (+.f32 n1_i (neg.f32 n0_i)))) u))
(fma.f32 (fma.f32 1/2 n0_i (.f32 (-.f32 n1_i n0_i) 1/6)) u (.f32 n0_i (.f32 -1/2 (.f32 u u))))
(fma.f32 n0_i (.f32 -1/2 (.f32 u u)) (.f32 u (fma.f32 -1/6 (-.f32 n0_i n1_i) (.f32 1/2 n0_i))))
(.f32 u (+.f32 (.f32 n0_i (.f32 u -1/2)) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3))))
(+.f32 (.f32 1/6 (.f32 (pow.f32 u 3) n0_i)) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) n0_i)) (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i)))) u)))
(fma.f32 1/6 (.f32 n0_i (pow.f32 u 3)) (fma.f32 -1/2 (.f32 n0_i (.f32 u u)) (.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 (+.f32 n1_i (neg.f32 n0_i)))) u)))
(fma.f32 1/6 (.f32 n0_i (pow.f32 u 3)) (fma.f32 (fma.f32 1/2 n0_i (.f32 (-.f32 n1_i n0_i) 1/6)) u (.f32 n0_i (.f32 -1/2 (*.f32 u u)))))
(fma.f32 n0_i (.f32 (.f32 u u) (+.f32 -1/2 (.f32 u 1/6))) (.f32 u (fma.f32 -1/6 (-.f32 n0_i n1_i) (*.f32 1/2 n0_i))))
(fma.f32 n0_i (.f32 (.f32 u u) (+.f32 -1/2 (.f32 u 1/6))) (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))))
(+.f32 (.f32 1/6 (.f32 (pow.f32 u 3) n0_i)) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) n0_i)) (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i)))) u)))
(fma.f32 1/6 (.f32 n0_i (pow.f32 u 3)) (fma.f32 -1/2 (.f32 n0_i (.f32 u u)) (.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 (+.f32 n1_i (neg.f32 n0_i)))) u)))
(fma.f32 1/6 (.f32 n0_i (pow.f32 u 3)) (fma.f32 (fma.f32 1/2 n0_i (.f32 (-.f32 n1_i n0_i) 1/6)) u (.f32 n0_i (.f32 -1/2 (*.f32 u u)))))
(fma.f32 n0_i (.f32 (.f32 u u) (+.f32 -1/2 (.f32 u 1/6))) (.f32 u (fma.f32 -1/6 (-.f32 n0_i n1_i) (*.f32 1/2 n0_i))))
(fma.f32 n0_i (.f32 (.f32 u u) (+.f32 -1/2 (.f32 u 1/6))) (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))))
(.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 n0_i (.f32 1/6 (pow.f32 u 3)))
(+.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 1/6 (pow.f32 u 3))))
(.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 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i)))) u)))
(fma.f32 1/6 (.f32 n0_i (pow.f32 u 3)) (fma.f32 -1/2 (.f32 n0_i (.f32 u u)) (.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 (+.f32 n1_i (neg.f32 n0_i)))) u)))
(fma.f32 1/6 (.f32 n0_i (pow.f32 u 3)) (fma.f32 (fma.f32 1/2 n0_i (.f32 (-.f32 n1_i n0_i) 1/6)) u (.f32 n0_i (.f32 -1/2 (*.f32 u u)))))
(fma.f32 n0_i (.f32 (.f32 u u) (+.f32 -1/2 (.f32 u 1/6))) (.f32 u (fma.f32 -1/6 (-.f32 n0_i n1_i) (*.f32 1/2 n0_i))))
(fma.f32 n0_i (.f32 (.f32 u u) (+.f32 -1/2 (.f32 u 1/6))) (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))))
(+.f32 (.f32 1/6 (.f32 (pow.f32 u 3) n0_i)) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) n0_i)) (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i)))) u)))
(fma.f32 1/6 (.f32 n0_i (pow.f32 u 3)) (fma.f32 -1/2 (.f32 n0_i (.f32 u u)) (.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 (+.f32 n1_i (neg.f32 n0_i)))) u)))
(fma.f32 1/6 (.f32 n0_i (pow.f32 u 3)) (fma.f32 (fma.f32 1/2 n0_i (.f32 (-.f32 n1_i n0_i) 1/6)) u (.f32 n0_i (.f32 -1/2 (*.f32 u u)))))
(fma.f32 n0_i (.f32 (.f32 u u) (+.f32 -1/2 (.f32 u 1/6))) (.f32 u (fma.f32 -1/6 (-.f32 n0_i n1_i) (*.f32 1/2 n0_i))))
(fma.f32 n0_i (.f32 (.f32 u u) (+.f32 -1/2 (.f32 u 1/6))) (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))))
(.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 n0_i (.f32 1/6 (pow.f32 u 3)))
(+.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 1/6 (pow.f32 u 3))))
(.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 (.f32 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 (+.f32 (.f32 -1 n1_i) n0_i))) u)) (.f32 -1/2 (*.f32 (pow.f32 u 2) n0_i))))
(fma.f32 1/6 (.f32 n0_i (pow.f32 u 3)) (fma.f32 -1/2 (.f32 n0_i (.f32 u u)) (.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 (+.f32 n1_i (neg.f32 n0_i)))) u)))
(fma.f32 1/6 (.f32 n0_i (pow.f32 u 3)) (fma.f32 (fma.f32 1/2 n0_i (.f32 (-.f32 n1_i n0_i) 1/6)) u (.f32 n0_i (.f32 -1/2 (*.f32 u u)))))
(fma.f32 n0_i (.f32 (.f32 u u) (+.f32 -1/2 (.f32 u 1/6))) (.f32 u (fma.f32 -1/6 (-.f32 n0_i n1_i) (*.f32 1/2 n0_i))))
(fma.f32 n0_i (.f32 (.f32 u u) (+.f32 -1/2 (.f32 u 1/6))) (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))))
(+.f32 (.f32 1/6 (.f32 (pow.f32 u 3) n0_i)) (+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 (+.f32 (.f32 -1 n1_i) n0_i))) u)) (.f32 -1/2 (*.f32 (pow.f32 u 2) n0_i))))
(fma.f32 1/6 (.f32 n0_i (pow.f32 u 3)) (fma.f32 -1/2 (.f32 n0_i (.f32 u u)) (.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 (+.f32 n1_i (neg.f32 n0_i)))) u)))
(fma.f32 1/6 (.f32 n0_i (pow.f32 u 3)) (fma.f32 (fma.f32 1/2 n0_i (.f32 (-.f32 n1_i n0_i) 1/6)) u (.f32 n0_i (.f32 -1/2 (*.f32 u u)))))
(fma.f32 n0_i (.f32 (.f32 u u) (+.f32 -1/2 (.f32 u 1/6))) (.f32 u (fma.f32 -1/6 (-.f32 n0_i n1_i) (*.f32 1/2 n0_i))))
(fma.f32 n0_i (.f32 (.f32 u u) (+.f32 -1/2 (.f32 u 1/6))) (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))))
(.f32 1/6 (.f32 n1_i u))
(.f32 n1_i (.f32 u 1/6))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (+.f32 1 (.f32 (-.f32 (.f32 (-.f32 3 u) u) 3) u))) (.f32 -1/6 (-.f32 1 u))) n0_i) (.f32 1/6 (*.f32 n1_i u)))
(fma.f32 (.f32 -1/6 (-.f32 (+.f32 1 (.f32 u (fma.f32 (-.f32 3 u) u -3))) (-.f32 1 u))) n0_i (.f32 1/6 (.f32 n1_i u)))
(fma.f32 1/6 (.f32 n1_i u) (.f32 -1/6 (*.f32 n0_i (-.f32 (fma.f32 u (fma.f32 u (-.f32 3 u) -3) 1) (-.f32 1 u)))))
(.f32 1/6 (-.f32 (.f32 n1_i u) (*.f32 n0_i (fma.f32 u (fma.f32 u (-.f32 3 u) -3) (+.f32 0 u)))))
(.f32 1/6 (-.f32 (.f32 n1_i u) (*.f32 n0_i (fma.f32 u (fma.f32 u (-.f32 3 u) -3) u))))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (+.f32 1 (.f32 (-.f32 (.f32 (-.f32 3 u) u) 3) u))) (.f32 -1/6 (-.f32 1 u))) n0_i) (.f32 1/6 (*.f32 n1_i u)))
(fma.f32 (.f32 -1/6 (-.f32 (+.f32 1 (.f32 u (fma.f32 (-.f32 3 u) u -3))) (-.f32 1 u))) n0_i (.f32 1/6 (.f32 n1_i u)))
(fma.f32 1/6 (.f32 n1_i u) (.f32 -1/6 (*.f32 n0_i (-.f32 (fma.f32 u (fma.f32 u (-.f32 3 u) -3) 1) (-.f32 1 u)))))
(.f32 1/6 (-.f32 (.f32 n1_i u) (*.f32 n0_i (fma.f32 u (fma.f32 u (-.f32 3 u) -3) (+.f32 0 u)))))
(.f32 1/6 (-.f32 (.f32 n1_i u) (*.f32 n0_i (fma.f32 u (fma.f32 u (-.f32 3 u) -3) u))))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (+.f32 1 (.f32 (-.f32 (.f32 (-.f32 3 u) u) 3) u))) (.f32 -1/6 (-.f32 1 u))) n0_i) (.f32 1/6 (*.f32 n1_i u)))
(fma.f32 (.f32 -1/6 (-.f32 (+.f32 1 (.f32 u (fma.f32 (-.f32 3 u) u -3))) (-.f32 1 u))) n0_i (.f32 1/6 (.f32 n1_i u)))
(fma.f32 1/6 (.f32 n1_i u) (.f32 -1/6 (*.f32 n0_i (-.f32 (fma.f32 u (fma.f32 u (-.f32 3 u) -3) 1) (-.f32 1 u)))))
(.f32 1/6 (-.f32 (.f32 n1_i u) (*.f32 n0_i (fma.f32 u (fma.f32 u (-.f32 3 u) -3) (+.f32 0 u)))))
(.f32 1/6 (-.f32 (.f32 n1_i u) (*.f32 n0_i (fma.f32 u (fma.f32 u (-.f32 3 u) -3) u))))
(.f32 (-.f32 (.f32 -1/6 (+.f32 1 (.f32 (-.f32 (.f32 (-.f32 3 u) u) 3) u))) (*.f32 -1/6 (-.f32 1 u))) n0_i)
(.f32 n0_i (.f32 -1/6 (-.f32 (+.f32 1 (*.f32 u (fma.f32 (-.f32 3 u) u -3))) (-.f32 1 u))))
(.f32 -1/6 (.f32 n0_i (-.f32 (fma.f32 u (fma.f32 u (-.f32 3 u) -3) 1) (-.f32 1 u))))
(.f32 n0_i (.f32 -1/6 (fma.f32 u (fma.f32 u (-.f32 3 u) -3) (+.f32 0 u))))
(.f32 n0_i (.f32 -1/6 (fma.f32 u (fma.f32 u (-.f32 3 u) -3) u)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (+.f32 1 (.f32 (-.f32 (.f32 (-.f32 3 u) u) 3) u))) (.f32 -1/6 (-.f32 1 u))) n0_i) (.f32 1/6 (*.f32 n1_i u)))
(fma.f32 (.f32 -1/6 (-.f32 (+.f32 1 (.f32 u (fma.f32 (-.f32 3 u) u -3))) (-.f32 1 u))) n0_i (.f32 1/6 (.f32 n1_i u)))
(fma.f32 1/6 (.f32 n1_i u) (.f32 -1/6 (*.f32 n0_i (-.f32 (fma.f32 u (fma.f32 u (-.f32 3 u) -3) 1) (-.f32 1 u)))))
(.f32 1/6 (-.f32 (.f32 n1_i u) (*.f32 n0_i (fma.f32 u (fma.f32 u (-.f32 3 u) -3) (+.f32 0 u)))))
(.f32 1/6 (-.f32 (.f32 n1_i u) (*.f32 n0_i (fma.f32 u (fma.f32 u (-.f32 3 u) -3) u))))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (+.f32 1 (.f32 (-.f32 (.f32 (-.f32 3 u) u) 3) u))) (.f32 -1/6 (-.f32 1 u))) n0_i) (.f32 1/6 (*.f32 n1_i u)))
(fma.f32 (.f32 -1/6 (-.f32 (+.f32 1 (.f32 u (fma.f32 (-.f32 3 u) u -3))) (-.f32 1 u))) n0_i (.f32 1/6 (.f32 n1_i u)))
(fma.f32 1/6 (.f32 n1_i u) (.f32 -1/6 (*.f32 n0_i (-.f32 (fma.f32 u (fma.f32 u (-.f32 3 u) -3) 1) (-.f32 1 u)))))
(.f32 1/6 (-.f32 (.f32 n1_i u) (*.f32 n0_i (fma.f32 u (fma.f32 u (-.f32 3 u) -3) (+.f32 0 u)))))
(.f32 1/6 (-.f32 (.f32 n1_i u) (*.f32 n0_i (fma.f32 u (fma.f32 u (-.f32 3 u) -3) u))))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (+.f32 1 (.f32 (-.f32 (.f32 (-.f32 3 u) u) 3) u))) (.f32 -1/6 (-.f32 1 u))) n0_i) (.f32 1/6 (*.f32 n1_i u)))
(fma.f32 (.f32 -1/6 (-.f32 (+.f32 1 (.f32 u (fma.f32 (-.f32 3 u) u -3))) (-.f32 1 u))) n0_i (.f32 1/6 (.f32 n1_i u)))
(fma.f32 1/6 (.f32 n1_i u) (.f32 -1/6 (*.f32 n0_i (-.f32 (fma.f32 u (fma.f32 u (-.f32 3 u) -3) 1) (-.f32 1 u)))))
(.f32 1/6 (-.f32 (.f32 n1_i u) (*.f32 n0_i (fma.f32 u (fma.f32 u (-.f32 3 u) -3) (+.f32 0 u)))))
(.f32 1/6 (-.f32 (.f32 n1_i u) (*.f32 n0_i (fma.f32 u (fma.f32 u (-.f32 3 u) -3) u))))
(.f32 -1 (.f32 n0_i (-.f32 (.f32 1/6 (+.f32 1 (.f32 (-.f32 (.f32 (-.f32 3 u) u) 3) u))) (.f32 1/6 (-.f32 1 u)))))
(.f32 n0_i (.f32 -1/6 (-.f32 (+.f32 1 (*.f32 u (fma.f32 (-.f32 3 u) u -3))) (-.f32 1 u))))
(.f32 -1/6 (.f32 n0_i (-.f32 (fma.f32 u (fma.f32 u (-.f32 3 u) -3) 1) (-.f32 1 u))))
(.f32 n0_i (.f32 -1/6 (fma.f32 u (fma.f32 u (-.f32 3 u) -3) (+.f32 0 u))))
(.f32 n0_i (.f32 -1/6 (fma.f32 u (fma.f32 u (-.f32 3 u) -3) u)))
(+.f32 (.f32 -1 (.f32 n0_i (-.f32 (.f32 1/6 (+.f32 1 (.f32 (-.f32 (.f32 (-.f32 3 u) u) 3) u))) (.f32 1/6 (-.f32 1 u))))) (.f32 1/6 (.f32 n1_i u)))
(fma.f32 (.f32 -1/6 (-.f32 (+.f32 1 (.f32 u (fma.f32 (-.f32 3 u) u -3))) (-.f32 1 u))) n0_i (.f32 1/6 (.f32 n1_i u)))
(fma.f32 1/6 (.f32 n1_i u) (.f32 -1/6 (*.f32 n0_i (-.f32 (fma.f32 u (fma.f32 u (-.f32 3 u) -3) 1) (-.f32 1 u)))))
(.f32 1/6 (-.f32 (.f32 n1_i u) (*.f32 n0_i (fma.f32 u (fma.f32 u (-.f32 3 u) -3) (+.f32 0 u)))))
(.f32 1/6 (-.f32 (.f32 n1_i u) (*.f32 n0_i (fma.f32 u (fma.f32 u (-.f32 3 u) -3) u))))
(+.f32 (.f32 -1 (.f32 n0_i (-.f32 (.f32 1/6 (+.f32 1 (.f32 (-.f32 (.f32 (-.f32 3 u) u) 3) u))) (.f32 1/6 (-.f32 1 u))))) (.f32 1/6 (.f32 n1_i u)))
(fma.f32 (.f32 -1/6 (-.f32 (+.f32 1 (.f32 u (fma.f32 (-.f32 3 u) u -3))) (-.f32 1 u))) n0_i (.f32 1/6 (.f32 n1_i u)))
(fma.f32 1/6 (.f32 n1_i u) (.f32 -1/6 (*.f32 n0_i (-.f32 (fma.f32 u (fma.f32 u (-.f32 3 u) -3) 1) (-.f32 1 u)))))
(.f32 1/6 (-.f32 (.f32 n1_i u) (*.f32 n0_i (fma.f32 u (fma.f32 u (-.f32 3 u) -3) (+.f32 0 u)))))
(.f32 1/6 (-.f32 (.f32 n1_i u) (*.f32 n0_i (fma.f32 u (fma.f32 u (-.f32 3 u) -3) u))))
(+.f32 (.f32 -1 (.f32 n0_i (-.f32 (.f32 1/6 (+.f32 1 (.f32 (-.f32 (.f32 (-.f32 3 u) u) 3) u))) (.f32 1/6 (-.f32 1 u))))) (.f32 1/6 (.f32 n1_i u)))
(fma.f32 (.f32 -1/6 (-.f32 (+.f32 1 (.f32 u (fma.f32 (-.f32 3 u) u -3))) (-.f32 1 u))) n0_i (.f32 1/6 (.f32 n1_i u)))
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(neg.f32 (*.f32 u u))
(*.f32 u (neg.f32 u))
(+.f32 (.f32 3 u) (.f32 -1 (pow.f32 u 2)))
(fma.f32 3 u (neg.f32 (*.f32 u u)))
(*.f32 u (-.f32 3 u))
(+.f32 (.f32 3 u) (.f32 -1 (pow.f32 u 2)))
(fma.f32 3 u (neg.f32 (*.f32 u u)))
(*.f32 u (-.f32 3 u))
(+.f32 (.f32 3 u) (.f32 -1 (pow.f32 u 2)))
(fma.f32 3 u (neg.f32 (*.f32 u u)))
(*.f32 u (-.f32 3 u))
(*.f32 -1 (pow.f32 u 2))
(neg.f32 (*.f32 u u))
(*.f32 u (neg.f32 u))
(+.f32 (.f32 3 u) (.f32 -1 (pow.f32 u 2)))
(fma.f32 3 u (neg.f32 (*.f32 u u)))
(*.f32 u (-.f32 3 u))
(+.f32 (.f32 3 u) (.f32 -1 (pow.f32 u 2)))
(fma.f32 3 u (neg.f32 (*.f32 u u)))
(*.f32 u (-.f32 3 u))
(+.f32 (.f32 3 u) (.f32 -1 (pow.f32 u 2)))
(fma.f32 3 u (neg.f32 (*.f32 u u)))
(*.f32 u (-.f32 3 u))

localize19.0ms (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)

localize21.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 6 computations (62.5% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite52.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

57 → 33

Calls

Call 1

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

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

localize129.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 n0_i (-.f32 1 (.f32 u u)))
✓	0.1b	(.f32 n0_i (.f32 n0_i (-.f32 1 (*.f32 u u))))
✓	0.1b	(fma.f32 n1_i u (/.f32 (.f32 n0_i (.f32 n0_i (-.f32 1 (.f32 u u)))) (-.f32 n0_i (.f32 u (neg.f32 n0_i)))))
✓	12.0b	(/.f32 (.f32 n0_i (.f32 n0_i (-.f32 1 (.f32 u u)))) (-.f32 n0_i (.f32 u (neg.f32 n0_i))))

Compiler

Compiled 79 to 29 computations (63.3% saved)

series31.0ms (0.2%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
10.0ms	u	@	0	(/.f32 (.f32 n0_i (.f32 n0_i (-.f32 1 (.f32 u u)))) (-.f32 n0_i (.f32 u (neg.f32 n0_i))))
1.0ms	n1_i	@	0	(fma.f32 n1_i u (/.f32 (.f32 n0_i (.f32 n0_i (-.f32 1 (.f32 u u)))) (-.f32 n0_i (.f32 u (neg.f32 n0_i)))))
1.0ms	n0_i	@	0	(/.f32 (.f32 n0_i (.f32 n0_i (-.f32 1 (.f32 u u)))) (-.f32 n0_i (.f32 u (neg.f32 n0_i))))
1.0ms	n0_i	@	-inf	(/.f32 (.f32 n0_i (.f32 n0_i (-.f32 1 (.f32 u u)))) (-.f32 n0_i (.f32 u (neg.f32 n0_i))))
1.0ms	u	@	inf	(/.f32 (.f32 n0_i (.f32 n0_i (-.f32 1 (.f32 u u)))) (-.f32 n0_i (.f32 u (neg.f32 n0_i))))

rewrite143.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

799×	`log-prod_binary32`
327×	`fma-def_binary32`
250×	`expm1-udef_binary32`
249×	`log1p-udef_binary32`
237×	`pow3_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	311	71
2	4673	67

Stop Event

1×	node limit

Counts

4 → 172

Calls

Call 1

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

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

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

976×	`times-frac_binary32`
894×	`div-sub_binary32`
699×	`fma-neg_binary32`
401×	`fma-def_binary32`
363×	`associate-/l*_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	1488
1	139	1413
2	315	1377
3	1044	1305
4	5542	1305

Stop Event

1×	node limit

Counts

280 → 209

Calls

Call 1

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

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

localize62.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i)
	0.0b	(-.f32 n0_i (*.f32 u n0_i))
✓	0.1b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	2.0b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))

Compiler

Compiled 67 to 24 computations (64.2% saved)

series8.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	n0_i	@	inf	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
1.0ms	normAngle	@	0	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
0.0ms	normAngle	@	inf	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
0.0ms	u	@	0	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
0.0ms	u	@	-inf	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	23
1	325	21
2	4631	21

Stop Event

1×	node limit

Counts

1 → 84

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

481×	`fma-neg_binary32`
422×	`distribute-rgt-in_binary32`
410×	`cancel-sign-sub-inv_binary32`
394×	`distribute-lft-in_binary32`
391×	`associate-r_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	1142
1	288	1105
2	866	1089
3	4124	1078

Stop Event

1×	node limit

Counts

132 → 112

Calls

Call 1

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

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

eval390.0ms (2.2%)

Compiler: Compiled 19187 to 9092 computations (52.6% saved)

prune212.0ms (1.2%)

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	679	12	691
Fresh	7	21	28
Picked	1	0	1
Done	2	6	8
Total	689	39	728

Error

0.0b

Counts

728 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	8.4b	(pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 normAngle (.f32 u n1_i) (.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i))) -1)
	0.5b	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 u (-.f32 (.f32 u (.f32 n0_i -1/2)) (-.f32 (.f32 n0_i -1/3) (.f32 n1_i 1/6)))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i)))
	22.7b	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
	1.0b	(-.f32 n0_i (-.f32 (.f32 n0_i u) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))
	0.5b	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i)))
✓	8.3b	(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	3.7b	(+.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))))))))
	21.0b	(+.f32 (.f32 n1_i u) (.f32 n0_i (neg.f32 u)))
	0.7b	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (+.f32 1 (.f32 (-.f32 (.f32 (-.f32 3 u) u) 3) u)) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)) (*.f32 (-.f32 1 u) n0_i)))
	0.7b	(-.f32 (fma.f32 u n1_i n0_i) (*.f32 u n0_i))
	0.9b	(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	9.6b	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
✓	0.8b	(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
✓	0.8b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	17.0b	n0_i
	12.9b	(/.f32 (.f32 (-.f32 1 (.f32 u u)) n0_i) (+.f32 1 u))
	7.9b	(-.f32 (.f32 (-.f32 (pow.f32 (.f32 n1_i u) 2) (.f32 n0_i n0_i)) (/.f32 1 (-.f32 (.f32 n1_i u) n0_i))) (*.f32 u n0_i))
	3.1b	(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
	12.7b	(fma.f32 u (neg.f32 n0_i) n0_i)
✓	12.8b	(*.f32 (-.f32 1 u) n0_i)
	0.7b	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 (-.f32 (.f32 -1/6 (+.f32 1 (.f32 (-.f32 (.f32 (-.f32 3 u) u) 3) u))) (.f32 -1/6 (-.f32 1 u))) n0_i) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i)))
	6.9b	(+.f32 n0_i (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
	8.9b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	7.8b	(/.f32 (-.f32 (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (.f32 n0_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))
	12.7b	(-.f32 n0_i (*.f32 u n0_i))
	4.4b	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (/.f32 (.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)))
	8.3b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
✓	20.5b	(*.f32 u n1_i)
✓	0.7b	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
	8.3b	(fma.f32 n1_i u (/.f32 (.f32 n0_i n0_i) (-.f32 n0_i (.f32 u (neg.f32 n0_i)))))
	8.9b	(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
	21.0b	(*.f32 (-.f32 n1_i n0_i) u)
	6.7b	(fma.f32 u n1_i n0_i)
	12.6b	(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
	6.7b	(+.f32 (*.f32 n1_i u) n0_i)
	0.6b	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 n1_i (.f32 u 1/6)) (pow.f32 normAngle 2)) (*.f32 (-.f32 1 u) n0_i)))
	0.7b	(-.f32 n0_i (*.f32 u (-.f32 n0_i n1_i)))
	22.6b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	16.8b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))

Compiler

Compiled 717 to 466 computations (35% saved)

regimes398.0ms (2.3%)

Counts

76 → 1

Calls

Call 1

Inputs
n0_i
n0_i
(*.f32 u n1_i)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 n1_i n0_i) u)
(-.f32 n0_i (*.f32 u n0_i))
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(-.f32 n0_i (*.f32 u (-.f32 n0_i n1_i)))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (.f32 n1_i u) (.f32 n0_i (neg.f32 u)))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(/.f32 (.f32 (-.f32 1 (.f32 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 (.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (.f32 n0_i n0_i)) (-.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i))
(fma.f32 u n1_i n0_i)
(fma.f32 u (neg.f32 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 (fma.f32 u n1_i n0_i) (*.f32 u n0_i))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(fma.f32 n1_i u (-.f32 n0_i (*.f32 u n0_i)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(fma.f32 n1_i u (/.f32 (.f32 n0_i n0_i) (-.f32 n0_i (.f32 u (neg.f32 n0_i)))))
(fma.f32 n1_i u (/.f32 (.f32 n0_i n0_i) (-.f32 n0_i (.f32 u (neg.f32 n0_i)))))
(+.f32 (-.f32 n0_i (.f32 u n0_i)) (/.f32 (.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 n1_i (.f32 u 1/6)) (pow.f32 normAngle 2)) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 n1_i (.f32 u 1/6)) (pow.f32 normAngle 2)) (*.f32 (-.f32 1 u) n0_i)))
(fma.f32 n1_i u (/.f32 (.f32 n0_i (.f32 n0_i (-.f32 1 (.f32 u u)))) (-.f32 n0_i (.f32 u (neg.f32 n0_i)))))
(-.f32 (.f32 (-.f32 (pow.f32 (.f32 n1_i u) 2) (.f32 n0_i n0_i)) (/.f32 1 (-.f32 (.f32 n1_i u) n0_i))) (*.f32 u n0_i))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i)))
(fma.f32 n1_i u (/.f32 (-.f32 (.f32 n0_i n0_i) (.f32 (.f32 u (neg.f32 n0_i)) (.f32 u (neg.f32 n0_i)))) (-.f32 n0_i (*.f32 u (neg.f32 n0_i)))))
(/.f32 (-.f32 (.f32 (.f32 n1_i u) (.f32 n1_i u)) (pow.f32 (-.f32 n0_i (.f32 u n0_i)) 2)) (-.f32 (.f32 n1_i u) (-.f32 n0_i (.f32 u n0_i))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 u (-.f32 (.f32 u (.f32 n0_i -1/2)) (-.f32 (.f32 n0_i -1/3) (.f32 n1_i 1/6)))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 (-.f32 (.f32 -1/6 (+.f32 1 (.f32 (-.f32 (.f32 (-.f32 3 u) u) 3) u))) (.f32 -1/6 (-.f32 1 u))) n0_i) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (+.f32 1 (.f32 (-.f32 (.f32 (-.f32 3 u) u) 3) u)) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 n0_i (+.f32 -1/6 (.f32 u (+.f32 (.f32 u -1/2) 1/2)))) (.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 n1_i u) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (+.f32 1 (.f32 u (+.f32 -3 (.f32 u (-.f32 3 u))))) 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 (sin.f32 (.f32 u normAngle)) n1_i) (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 n0_i (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
(+.f32 (pow.f32 (sqrt.f32 (.f32 u n1_i)) 2) (.f32 (-.f32 1 u) n0_i))
(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(-.f32 n0_i (-.f32 (.f32 n0_i u) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))
(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
(+.f32 (.f32 (.f32 (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 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 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.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 n1_i (*.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle))))))
(/.f32 (fma.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 normAngle (.f32 u n1_i) (.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i))) -1)
(pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 normAngle (.f32 u n1_i) (.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i))) -1)
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (/.f32 1 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u))))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(/.f32 (+.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))) (sin.f32 normAngle))
(pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) -1)
(+.f32 (.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (expm1.f32 (log1p.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) 2) n1_i))
(+.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))))))))

Outputs

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

Calls

5 calls:

113.0ms	n1_i
93.0ms	(+.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))
72.0ms	n0_i
45.0ms	u
44.0ms	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 1257 to 533 computations (57.6% saved)

regimes174.0ms (1%)

Counts

46 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

45.0ms	n1_i
42.0ms	n0_i
38.0ms	u
23.0ms	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 612 to 261 computations (57.4% saved)

regimes108.0ms (0.6%)

Counts

45 → 1

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	n0_i
24.0ms	n1_i
23.0ms	normAngle
23.0ms	u

Results

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

Compiler

Compiled 575 to 238 computations (58.6% saved)

regimes97.0ms (0.6%)

Counts

42 → 1

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	normAngle
21.0ms	u
21.0ms	n1_i
21.0ms	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 474 to 171 computations (63.9% saved)

regimes146.0ms (0.8%)

Counts

39 → 1

Calls

Call 1

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

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

Calls

4 calls:

56.0ms	n0_i
22.0ms	n1_i
19.0ms	u
18.0ms	normAngle

Results

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

Compiler

Compiled 403 to 147 computations (63.5% saved)

regimes248.0ms (1.4%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

4 calls:

77.0ms	u
65.0ms	n0_i
60.0ms	normAngle
32.0ms	n1_i

Results

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

Compiler

Compiled 325 to 111 computations (65.8% saved)

regimes60.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	normAngle
12.0ms	n1_i
11.0ms	u
11.0ms	n0_i

Results

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

Compiler

Compiled 169 to 68 computations (59.8% saved)

regimes110.0ms (0.6%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

4 calls:

43.0ms	u
42.0ms	n1_i
17.0ms	n0_i
6.0ms	normAngle

Results

Error	Segments	Branch
6.7b	1	`normAngle`
6.7b	1	`u`
5.6b	2	`n0_i`
4.3b	3	`n1_i`

Compiler

Compiled 64 to 33 computations (48.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.0208631255909625e-26	2.931069700875023e-26
0.0ms	-6.4314875080973775e-24	-1.7562869844412677e-24

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes128.0ms (0.7%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	normAngle
38.0ms	u
29.0ms	n1_i
17.0ms	n0_i

Results

Error	Segments	Branch
12.7b	1	`normAngle`
12.7b	1	`u`
8.2b	3	`n0_i`
9.0b	3	`n1_i`

Compiler

Compiled 59 to 31 computations (47.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	2.9625967118414556e-24	5.819764924713291e-24
0.0ms	-2.2071070495830225e-28	-1.8344858276627577e-28

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes38.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

Inputs
n0_i
n0_i
(*.f32 u n1_i)

Outputs
n0_i
(*.f32 u n1_i)
n0_i

Calls

4 calls:

13.0ms	n1_i
10.0ms	u
10.0ms	n0_i
4.0ms	normAngle

Results

Error	Segments	Branch
17.0b	1	`normAngle`
14.9b	2	`u`
12.2b	3	`n0_i`
12.9b	3	`n1_i`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch167.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	2.9625967118414556e-24	5.819764924713291e-24
166.0ms	-2.2071070495830225e-28	-1.8344858276627577e-28

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes16.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
n0_i
n0_i

Outputs
n0_i

Calls

4 calls:

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

Results

Error	Segments	Branch
17.0b	1	`normAngle`
17.0b	1	`u`
17.0b	1	`n0_i`
17.0b	1	`n1_i`

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

248×	`distribute-rgt-neg-in_binary32`
157×	`distribute-lft-neg-out_binary32`
156×	`distribute-lft-neg-in_binary32`
153×	`neg-sub0_binary32`
153×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	321
1	160	321
2	212	321
3	257	321
4	312	321
5	361	321
6	420	321
7	513	321
8	678	321
9	876	321
10	1078	321
11	1294	321
12	1526	321
13	1720	321
14	1865	321
15	1947	321
16	1967	321
17	1967	321

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (+.f32 1 (.f32 u (+.f32 -3 (.f32 u (-.f32 3 u))))) 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 n1_i u) (+.f32 (.f32 (-.f32 (.f32 n0_i (+.f32 -1/6 (.f32 u (+.f32 (.f32 u -1/2) 1/2)))) (.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 n1_i u) (+.f32 (.f32 (.f32 u (-.f32 (.f32 u (.f32 n0_i -1/2)) (-.f32 (.f32 n0_i -1/3) (.f32 n1_i 1/6)))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 n1_i (.f32 u 1/6)) (pow.f32 normAngle 2)) (*.f32 (-.f32 1 u) n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(-.f32 n0_i (*.f32 u (-.f32 n0_i n1_i)))
(if (<=.f32 n1_i -6338253/1267650600228229401496703205376) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 6490371/324518553658426726783156020576256) (-.f32 n0_i (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n0_i -8307675/41538374868278621028243970633760768) (-.f32 n0_i (.f32 u n0_i)) (if (<=.f32 n0_i 6338253/1267650600228229401496703205376) (.f32 u n1_i) (-.f32 n0_i (*.f32 u n0_i))))
(if (<=.f32 n0_i -8307675/41538374868278621028243970633760768) n0_i (if (<=.f32 n0_i 6338253/1267650600228229401496703205376) (*.f32 u n1_i) n0_i))
n0_i

Outputs
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (+.f32 1 (.f32 u (+.f32 -3 (.f32 u (-.f32 3 u))))) 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 n1_i u) (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (+.f32 (.f32 -1/6 (.f32 (+.f32 1 (.f32 u (+.f32 -3 (.f32 u (-.f32 3 u))))) n0_i)) (.f32 1/6 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))))) (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (+.f32 (.f32 -1/6 (.f32 (+.f32 1 (.f32 u (+.f32 -3 (.f32 u (-.f32 3 u))))) n0_i)) (.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) 1/6)) (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (+.f32 (.f32 -1/6 (.f32 (+.f32 1 (.f32 u (+.f32 -3 (.f32 u (-.f32 3 u))))) n0_i)) (.f32 -1/6 (-.f32 (.f32 n0_i (+.f32 u -1)) (.f32 n1_i u)))) (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (-.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))) (.f32 -1/6 (.f32 n0_i (+.f32 -1 (.f32 u (-.f32 3 (.f32 u (-.f32 3 u)))))))))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 n0_i (+.f32 -1/6 (.f32 u (+.f32 (.f32 u -1/2) 1/2)))) (.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 n1_i u) (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (pow.f32 normAngle 2) (-.f32 (.f32 n0_i (+.f32 -1/6 (.f32 u (+.f32 (.f32 u -1/2) 1/2)))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (*.f32 n0_i (-.f32 1 u))))))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i (+.f32 -1/6 (.f32 u (+.f32 (.f32 u -1/2) 1/2)))) (.f32 (+.f32 (.f32 n1_i u) (*.f32 n0_i (-.f32 1 u))) 1/6)))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i (+.f32 -1/6 (.f32 u (+.f32 (.f32 u -1/2) 1/2)))) (.f32 -1/6 (-.f32 (.f32 n0_i (+.f32 u -1)) (*.f32 n1_i u)))))))
(-.f32 (.f32 n1_i u) (+.f32 (.f32 n0_i (+.f32 u -1)) (.f32 (pow.f32 normAngle 2) (-.f32 (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))) (.f32 n0_i (+.f32 -1/6 (.f32 u (+.f32 (*.f32 u -1/2) 1/2))))))))
(-.f32 (.f32 n1_i u) (+.f32 (.f32 n0_i (+.f32 u -1)) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))) (.f32 n0_i (-.f32 1/6 (.f32 u (+.f32 (*.f32 u -1/2) 1/2))))))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 u (-.f32 (.f32 u (.f32 n0_i -1/2)) (-.f32 (.f32 n0_i -1/3) (.f32 n1_i 1/6)))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (pow.f32 normAngle 2) (.f32 u (-.f32 (.f32 u (.f32 n0_i -1/2)) (-.f32 (.f32 n0_i -1/3) (.f32 n1_i 1/6)))))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (pow.f32 normAngle 2) (.f32 u (-.f32 (.f32 u (.f32 n0_i -1/2)) (+.f32 (.f32 n0_i -1/3) (.f32 n1_i -1/6)))))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (pow.f32 normAngle 2) (.f32 u (+.f32 (.f32 u (.f32 n0_i -1/2)) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))))))
(+.f32 (.f32 n1_i u) (-.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (pow.f32 normAngle 2) (.f32 u (+.f32 (+.f32 (.f32 n0_i -1/3) (.f32 n1_i -1/6)) (.f32 u (.f32 n0_i 1/2)))))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 u (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.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 n1_i u) (+.f32 (.f32 (.f32 n1_i (.f32 u 1/6)) (pow.f32 normAngle 2)) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (pow.f32 normAngle 2) (.f32 n1_i (*.f32 u 1/6)))))
(+.f32 (.f32 n1_i u) (-.f32 (.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 n0_i (*.f32 u (-.f32 n0_i n1_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n1_i -6338253/1267650600228229401496703205376) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 6490371/324518553658426726783156020576256) (-.f32 n0_i (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n0_i -8307675/41538374868278621028243970633760768) (-.f32 n0_i (.f32 u n0_i)) (if (<=.f32 n0_i 6338253/1267650600228229401496703205376) (.f32 u n1_i) (-.f32 n0_i (*.f32 u n0_i))))
(if (<=.f32 n0_i -8307675/41538374868278621028243970633760768) (-.f32 n0_i (.f32 u n0_i)) (if (<=.f32 n0_i 6338253/1267650600228229401496703205376) (.f32 n1_i u) (-.f32 n0_i (*.f32 u n0_i))))
(if (<=.f32 n0_i -8307675/41538374868278621028243970633760768) n0_i (if (<=.f32 n0_i 6338253/1267650600228229401496703205376) (*.f32 u n1_i) n0_i))
(if (<=.f32 n0_i -8307675/41538374868278621028243970633760768) n0_i (if (<=.f32 n0_i 6338253/1267650600228229401496703205376) (*.f32 n1_i u) n0_i))
n0_i

Compiler

Compiled 264 to 172 computations (34.8% saved)

soundness398.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

1069×	`fma-neg_binary32`
738×	`div-sub_binary32`
717×	`fma-def_binary32`
639×	`fma-neg_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	86	1786
1	282	1677
2	848	1474
3	2898	1451

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 780 to 574 computations (26.4% saved)

end191.0ms (1.1%)

Compiler: Compiled 224 to 122 computations (45.5% saved)